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"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Model Characterization\n",
"\n",
"## Using Timbre to Characterize a Model The Original Way\n",
"\n",
"Now that the methodology behind how Timbre calculates a single balance time has been presented, the next step is to expand this capability to characterize a model by varying the input parameters.\n",
"\n",
"First, we focus on varying the dwell #1 and dwell #2 pitch values, while keeping a fixed Dwell #1 value of 20000s. This will give us a picture of the value of a 20Ks cold initial dwell in terms of yielded hot time, or the cost of a 20000s hot initial dwell in terms of cooling time."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"from cxotime import CxoTime\n",
"import astropy\n",
"import plotly.io as pio\n",
"from IPython.core.display import display, HTML\n",
"import pandas as pd\n",
"\n",
"from timbre import (\n",
" get_local_model,\n",
" run_state_pairs,\n",
" run_profile,\n",
" calc_binary_schedule,\n",
" BalanceAACCCDPT,\n",
" get_limited_results,\n",
" get_offset_results,\n",
" BalanceFPTEMP_11,\n",
" BalancePM2THV1T,\n",
" f_to_c,\n",
" Composite,\n",
")\n",
"from plot_code import *"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"msid = \"aacccdpt\"\n",
"limit = -6.5\n",
"date = \"2021:001:00:00:00\"\n",
"aca_model_spec, aca_md5 = get_local_model(\"../timbre/tests/data/aca_spec.json\")\n",
"model_init = {\"aacccdpt\": -6.5, \"aca0\": -6.5, \"eclipse\": False}\n",
"t_dwell1 = 20000.0 # Seconds"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Instead of defining each pitch condition manually, they are defined programatically."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"state_pairs = [\n",
" ({\"pitch\": p1}, {\"pitch\": p2})\n",
" for p1 in range(45, 181, 5)\n",
" for p2 in range(45, 181, 5)\n",
"]"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Running simulations for state pair #: 1 out of 784.0\n"
]
}
],
"source": [
"results = run_state_pairs(\n",
" msid,\n",
" aca_model_spec,\n",
" model_init,\n",
" limit,\n",
" date,\n",
" t_dwell1,\n",
" state_pairs,\n",
" limit_type=\"max\",\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"Table length=784\n",
"
\n",
"| msid | date | datesecs | limit | t_dwell1 | t_dwell2 | min_temp | mean_temp | max_temp | min_pseudo | mean_pseudo | max_pseudo | converged | unconverged_hot | unconverged_cold | hotter_state | colder_state | pitch1 | eclipse1 | pitch2 | eclipse2 |
\n",
"| str20 | str8 | float64 | float64 | float64 | float64 | float64 | float64 | float64 | float64 | float64 | float64 | bool | bool | bool | int8 | int8 | int64 | bool | int64 | bool |
\n",
"| aacccdpt | 2021:001 | 725846469.184 | -6.5 | 20000.0 | nan | -12.701908209660902 | -12.662815058213544 | -12.638279647107051 | nan | nan | nan | False | False | True | 1 | 2 | 45 | False | 45 | False |
\n",
"| aacccdpt | 2021:001 | 725846469.184 | -6.5 | 20000.0 | nan | -10.754262032742414 | -10.478496753866102 | -10.370522019334915 | nan | nan | nan | False | False | True | 2 | 1 | 45 | False | 50 | False |
\n",
"| aacccdpt | 2021:001 | 725846469.184 | -6.5 | 20000.0 | nan | -8.798103778770468 | -8.285324033439833 | -8.099490257052867 | nan | nan | nan | False | False | True | 2 | 1 | 45 | False | 55 | False |
\n",
"| aacccdpt | 2021:001 | 725846469.184 | -6.5 | 20000.0 | 112262.86182175252 | -7.215625886759161 | -6.8844363747404635 | -6.5 | nan | nan | nan | True | False | False | 2 | 1 | 45 | False | 60 | False |
\n",
"| aacccdpt | 2021:001 | 725846469.184 | -6.5 | 20000.0 | 53485.8401238784 | -7.017587314447216 | -6.7811388893354385 | -6.5 | nan | nan | nan | True | False | False | 2 | 1 | 45 | False | 65 | False |
\n",
"| aacccdpt | 2021:001 | 725846469.184 | -6.5 | 20000.0 | 34897.288613469536 | -6.916623611692971 | -6.716555616870003 | -6.5 | nan | nan | nan | True | False | False | 2 | 1 | 45 | False | 70 | False |
\n",
"| aacccdpt | 2021:001 | 725846469.184 | -6.5 | 20000.0 | 25688.36697490581 | -6.872076377956675 | -6.686879998434366 | -6.5 | nan | nan | nan | True | False | False | 2 | 1 | 45 | False | 75 | False |
\n",
"| aacccdpt | 2021:001 | 725846469.184 | -6.5 | 20000.0 | 21920.29340453202 | -6.854834583007448 | -6.6800153492971655 | -6.5 | nan | nan | nan | True | False | False | 2 | 1 | 45 | False | 80 | False |
\n",
"| aacccdpt | 2021:001 | 725846469.184 | -6.5 | 20000.0 | 19200.986701918977 | -6.830194229487504 | -6.661476900204302 | -6.5 | nan | nan | nan | True | False | False | 2 | 1 | 45 | False | 85 | False |
\n",
"| aacccdpt | 2021:001 | 725846469.184 | -6.5 | 20000.0 | 16975.82687247957 | -6.829009371685877 | -6.661592013463294 | -6.5 | nan | nan | nan | True | False | False | 2 | 1 | 45 | False | 90 | False |
\n",
"| ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... |
\n",
"| aacccdpt | 2021:001 | 725846469.184 | -6.5 | 20000.0 | 135864.2576042953 | -8.811710086766464 | -7.7269277505322504 | -6.5 | nan | nan | nan | True | False | False | 2 | 1 | 180 | False | 135 | False |
\n",
"| aacccdpt | 2021:001 | 725846469.184 | -6.5 | 20000.0 | nan | -9.520672123247374 | -7.4792843670516485 | -6.792596923480321 | nan | nan | nan | False | False | True | 2 | 1 | 180 | False | 140 | False |
\n",
"| aacccdpt | 2021:001 | 725846469.184 | -6.5 | 20000.0 | nan | -11.056245070136672 | -9.227175305920179 | -8.611526489053057 | nan | nan | nan | False | False | True | 2 | 1 | 180 | False | 145 | False |
\n",
"| aacccdpt | 2021:001 | 725846469.184 | -6.5 | 20000.0 | nan | -12.571162710864538 | -10.969741242820325 | -10.430377873464037 | nan | nan | nan | False | False | True | 2 | 1 | 180 | False | 150 | False |
\n",
"| aacccdpt | 2021:001 | 725846469.184 | -6.5 | 20000.0 | nan | -14.605129665817923 | -13.343158190521978 | -12.915498733847313 | nan | nan | nan | False | False | True | 2 | 1 | 180 | False | 155 | False |
\n",
"| aacccdpt | 2021:001 | 725846469.184 | -6.5 | 20000.0 | nan | -16.57557266738169 | -15.694229156483809 | -15.400266370757095 | nan | nan | nan | False | False | True | 2 | 1 | 180 | False | 160 | False |
\n",
"| aacccdpt | 2021:001 | 725846469.184 | -6.5 | 20000.0 | nan | -18.387547516394772 | -17.81370171909465 | -17.648499750591704 | nan | nan | nan | False | False | True | 2 | 1 | 180 | False | 165 | False |
\n",
"| aacccdpt | 2021:001 | 725846469.184 | -6.5 | 20000.0 | nan | -19.926845471632735 | -19.582578916282927 | -19.48042740560264 | nan | nan | nan | False | False | True | 2 | 1 | 180 | False | 170 | False |
\n",
"| aacccdpt | 2021:001 | 725846469.184 | -6.5 | 20000.0 | nan | -21.068476515559613 | -20.898499819555653 | -20.848218414810145 | nan | nan | nan | False | False | True | 2 | 1 | 180 | False | 175 | False |
\n",
"| aacccdpt | 2021:001 | 725846469.184 | -6.5 | 20000.0 | nan | -22.21811822994504 | -22.21442072282838 | -22.207465924798406 | nan | nan | nan | False | False | True | 2 | 1 | 180 | False | 180 | False |
\n",
"
"
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"\n",
" msid date datesecs limit ... pitch1 eclipse1 pitch2 eclipse2\n",
" str20 str8 float64 float64 ... int64 bool int64 bool \n",
"-------- -------- ------------- ------- ... ------ -------- ------ --------\n",
"aacccdpt 2021:001 725846469.184 -6.5 ... 45 False 45 False\n",
"aacccdpt 2021:001 725846469.184 -6.5 ... 45 False 50 False\n",
"aacccdpt 2021:001 725846469.184 -6.5 ... 45 False 55 False\n",
"aacccdpt 2021:001 725846469.184 -6.5 ... 45 False 60 False\n",
"aacccdpt 2021:001 725846469.184 -6.5 ... 45 False 65 False\n",
"aacccdpt 2021:001 725846469.184 -6.5 ... 45 False 70 False\n",
"aacccdpt 2021:001 725846469.184 -6.5 ... 45 False 75 False\n",
"aacccdpt 2021:001 725846469.184 -6.5 ... 45 False 80 False\n",
"aacccdpt 2021:001 725846469.184 -6.5 ... 45 False 85 False\n",
"aacccdpt 2021:001 725846469.184 -6.5 ... 45 False 90 False\n",
" ... ... ... ... ... ... ... ... ...\n",
"aacccdpt 2021:001 725846469.184 -6.5 ... 180 False 135 False\n",
"aacccdpt 2021:001 725846469.184 -6.5 ... 180 False 140 False\n",
"aacccdpt 2021:001 725846469.184 -6.5 ... 180 False 145 False\n",
"aacccdpt 2021:001 725846469.184 -6.5 ... 180 False 150 False\n",
"aacccdpt 2021:001 725846469.184 -6.5 ... 180 False 155 False\n",
"aacccdpt 2021:001 725846469.184 -6.5 ... 180 False 160 False\n",
"aacccdpt 2021:001 725846469.184 -6.5 ... 180 False 165 False\n",
"aacccdpt 2021:001 725846469.184 -6.5 ... 180 False 170 False\n",
"aacccdpt 2021:001 725846469.184 -6.5 ... 180 False 175 False\n",
"aacccdpt 2021:001 725846469.184 -6.5 ... 180 False 180 False"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"table = astropy.table.Table(results)\n",
"table"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we can start exploring this data. We won't plot all the data we just generated, however the user can use the methods shown to further explore this dataset. "
]
},
{
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"filter_set = [\n",
" {\n",
" \"pitch1\": 90,\n",
" },\n",
"]\n",
"plot_data = generate_timbre_dwell_plot_data(results, filter_set)\n",
"plot_dict = generate_timber_output_plot_dict(\n",
" plot_data, \"Dwell Time Required to Balance 20Ks at 90 Degrees Pitch\", \n",
" legend=False\n",
")\n",
"pio.show(plot_dict)"
]
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"We could combine these data into a single plot, however as these data are not directly comparable, displaying these two\n",
"results together can result in more confusion than clarity. For example, 20ks of dwell time at 170 degrees pitch on\n",
"2021:001 will yield approximately 38.6Ks of available hot time at 90 degrees pitch (shown on the red line), and 20Ks of\n",
"hot time at 90 degrees pitch requires approximately 9.750Ks of cold time to balance this 20Ks hot dwell (shown on the\n",
"blue line), therefore the cooling (blue) data does not represent the time necessary to balance the shown heating (red)\n",
"dwells.\n",
"\n",
"The next section describes how to produce heating and cooling dwell times that do balance each other, and can be\n",
"intuitively displayed on the same chart."
]
},
{
"cell_type": "markdown",
"metadata": {},
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"## Using Timbre to Plot Balanced Heating and Cooling Time (New Algorithm)\n",
"\n",
"Instead of plotting heating and cooling durations for a fixed initial dwell time, which result in heating and cooling\n",
"(red and blue) curves that are not directly comparable, we anchor a plot at a single heating condition and dwell time\n",
"and use this as a starting point to build a set of heating and cooling curves that are directly comparable.\n",
"\n",
"These are the basic steps that we'll follow to produce a single balanced dwell time plot.\n",
"\n",
"1. Pick a representative hot attitude along with a hot dwell time, for this example we use the ACA model, with an\n",
" initial dwell at 90 degrees for 40Ks.\n",
"2. Determine the cooling time to support this duration at all attitudes (we will only plot converged results).\n",
"3. From the converged results generated in step 2, pick a representative cooling attitude and note the calculated\n",
" cooling time. For this example we use 170 degrees, with the dwell time calculated in step 2 for this pitch.\n",
"4. Determine the hot time yielded by this cold dwell, this should include the 40Ks at 90 degrees pitch as a result (or\n",
" very close), along with the proportional heating time at other pitch values.\n",
"5. As a sanity check, back calculate the associated cooling times using each pitch + dwell 2 time output from step 4.\n",
"6. Repeat steps 1-4 (step 5 can be optional) for other initial hot dwell times."
]
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"First, as before, we load the model and define the baseline conditions"
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"metadata": {},
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"msid = \"aacccdpt\"\n",
"limit = -6.5\n",
"date = \"2021:001:00:00:00\"\n",
"aca_model_spec, aca_md5 = get_local_model(\"../timbre/tests/data/aca_spec.json\")\n",
"model_init = {\"aacccdpt\": -6.5, \"aca0\": -6.5, \"eclipse\": False}"
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"cell_type": "markdown",
"metadata": {},
"source": [
"Next, we pick a representative hot dwell and an associated initial dwell time that we want to balance. The only rule in\n",
"picking this representative hot dwell is that it is not near a \"transition region\" so that the balance time can be\n",
"reliably calculated. I picked 90 degrees pitch as it is far enough from a transition region, and is often considered one\n",
"of the hottest attitudes for this location (ACA).\n",
"\n",
"A hot dwell of 40Ks is chosen as the balance hot dwell time since this is close to the maximum hot time that is commonly\n",
"calculated. There is no rule that defines how to pick this specific dwell time, and one may want to re-run this analysis\n",
"with different initial dwell times to expand the characterization of this model.\n",
"\n",
"A range of destination pitch values is chosen. The entire pitch range is used rather than those that are known to be\n",
"cooling pitch values, as it is best not to assume which attitudes cool or heat."
]
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"cell_type": "code",
"execution_count": 9,
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"text": [
"Running simulations for state pair #: 1 out of 28.0\n"
]
}
],
"source": [
"phot = 90\n",
"thot = 40000\n",
"state_pairs = [({\"pitch\": phot}, {\"pitch\": p2}) for p2 in range(45, 181, 5)]\n",
"results1 = run_state_pairs(\n",
" msid, aca_model_spec, model_init, limit, date, thot, state_pairs, \n",
" limit_type=\"max\"\n",
")"
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"cell_type": "markdown",
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"source": [
"The next plot shows the dwell time, at various cooling attitudes, required to balance the 40Ks hot dwell at 90 degrees pitch. It is very important to recognize that all the cooling data shown below are equivalent in balancing the chosen hot dwell parameters."
]
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"filter_set1 = [\n",
" {\n",
" \"pitch1\": phot,\n",
" },\n",
"]\n",
"plot_data1 = generate_timbre_dwell_plot_data(\n",
" results1,\n",
" filter_set1,\n",
" label_override=\"Cooling Dwells Calculated to Support 40Ks at 90 Degrees Pitch\",\n",
")\n",
"plot_dict = generate_timber_output_plot_dict(\n",
" plot_data1, \"Dwell Time Required to Balance 40Ks at 90 Degrees Pitch\", \n",
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"After determining the various cooling times that balance the chosen hot dwell parameters, a representative cooling\n",
"attitude is chosen from the data shown above. As in Step 1, we want a value that is not near a transition region. I\n",
"chose 170 degrees as this is also a commonly recognized cooling attitude for the ACA. A cooling time of 20.906Ks at 170\n",
"degrees pitch is calculated to balance the original 40Ks hot dwell at 90 degrees pitch (as shown above). This dwell time\n",
"and attitude now serve as the initial dwell parameters used to calculate the available heating time at all heating\n",
"attitudes (not just at 90 degrees)."
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},
{
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]
}
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"state_pairs = [({\"pitch\": pcool}, {\"pitch\": p2}) for p2 in range(45, 181, 5)]\n",
"results2 = run_state_pairs(\n",
" msid, aca_model_spec, model_init, limit, date, tcool, state_pairs, \n",
" limit_type=\"max\"\n",
")"
]
},
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"source": [
"The next plot shows the dwell time, at various heating attitudes, required to balance the 20.906Ks cold dwell at 107 degrees pitch (calculated above). It is very important to recognize that all the heating data shown below are equivalent in balancing the chosen cooling dwell parameters."
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"filter_set2 = [\n",
" {\n",
" \"pitch1\": pcool,\n",
" },\n",
"]\n",
"plot_data2 = generate_timbre_dwell_plot_data(\n",
" results2,\n",
" filter_set2,\n",
" label_override=\"Heating Dwell Time Yielded by 20.906Ks at 170 Degrees Pitch\",\n",
")\n",
"plot_dict = generate_timber_output_plot_dict(\n",
" plot_data2,\n",
" f\"Dwell Time Required to Balance {tcool:.0f}s at {pcool} Degrees Pitch\",\n",
" legend=False,\n",
")\n",
"pio.show(plot_dict)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"At this point, the two charts above can be combined into the same plot to intuitiviely display balanced dwell\n",
"information, however first it would be useful to include a sanity check to verify that these curves (red and blue) are\n",
"indeed comparable and result in a balanced set of dwells. To perform this sanity check, each hot attitude and associated\n",
"heating time shown in the plot above is used to recalculate the associated cooling time required to balance each hot\n",
"dwell. We would expect that, since all heating data displayed above are equivalent in their ability to balance the\n",
"cooling dwell chosen to produce the above plot, and since all the cooling data shown above in the prior plot are\n",
"equivalent in their ability to balance the original heating dwell chosen in Step 1, that this recalculation of the\n",
"cooling data would result in identical cooling data to those shown above in Step 1."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Running simulations for state pair #: 1 out of 28.0\n",
"Running simulations for state pair #: 1 out of 28.0\n",
"Running simulations for state pair #: 1 out of 28.0\n",
"Running simulations for state pair #: 1 out of 28.0\n",
"Running simulations for state pair #: 1 out of 28.0\n",
"Running simulations for state pair #: 1 out of 28.0\n",
"Running simulations for state pair #: 1 out of 28.0\n",
"Running simulations for state pair #: 1 out of 28.0\n",
"Running simulations for state pair #: 1 out of 28.0\n",
"Running simulations for state pair #: 1 out of 28.0\n",
"Running simulations for state pair #: 1 out of 28.0\n",
"Running simulations for state pair #: 1 out of 28.0\n",
"Running simulations for state pair #: 1 out of 28.0\n"
]
}
],
"source": [
"hot_ind = results2[\"t_dwell2\"][results2[\"converged\"]] < 100000\n",
"results3 = np.array([], dtype=results.dtype)\n",
"for result in results2[results2[\"converged\"]][hot_ind]:\n",
" state_pairs = list(\n",
" ({\"pitch\": result[\"pitch2\"]}, {\"pitch\": p2}) for p2 in range(45, 181, 5)\n",
" )\n",
" t = result[\"t_dwell2\"]\n",
" rnew = run_state_pairs(\n",
" msid, aca_model_spec, model_init, limit, date, t, state_pairs, \n",
" limit_type=\"max\"\n",
" )\n",
" results3 = np.hstack((results3, rnew))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The data above are now shown below in the same chart, listed as the first two entries in the plot legend. The\n",
"recalculated cooling data are shown simply as a cloud of blue dots, without connecting lines. As expected, the\n",
"recalculated cooling data is almost identical to the original cooling curve, with the exception of the values near the\n",
"transition regions, where this location neither heats or cools quickly. This scatter in the data near the transition\n",
"regions is not surprising, as these regions are both difficult to accurately predict in nominal schedules and difficult\n",
"to characterize by Timbre and Pyger."
]
},
{
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"plot_data2[0][\"name\"] = \"Heating Dwell Time Yielded by All Cooling Dwells Shown\"\n",
"filter_set3 = [\n",
" {\n",
" \"colder_state\": 2,\n",
" },\n",
"]\n",
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" results3,\n",
" filter_set3,\n",
" lines=False,\n",
" label_override=\"Recalculated Cooling to Support All Heating Dwells Shown\",\n",
")\n",
"plot_dict = generate_timber_output_plot_dict(\n",
" plot_data1 + plot_data2 + plot_data3,\n",
" f\"Balanced Dwell Time (Anchored by 90 Degree Pitch Dwell at 40Ks)\",\n",
" legend=True,\n",
" legend_dict=legend_format_top_left,\n",
")\n",
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"We can take this analysis one step further, by assembling a balanced schedule made solely of pitch and dwell times used to generate the plot above. The ideal output of such a schedule would be a temperature profile where the peaks all touched the limit without exceeding it. Unfortunately, as we can see in the \"Converged Timbre Dwell Simulation\" plot above, there is some noise or uncertainty in the output of Timbre, however the most important output is a schedule that does not \"trend\" hotter or colder over many dwells (outside of seasonal effects). If a schedule did trend hotter or colder, that would indicate, in aggregate, that the balance times calculated by Timbre are not balanced.\n",
"\n",
"First import a helpful method from Timbre and define a couple more helpful methods to use the cases generated above."
]
},
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"execution_count": 15,
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"def get_random_dwell(cases):\n",
" ind = np.random.randint(0, high=(len(cases) - 1))\n",
" return cases[ind]\n",
"\n",
"\n",
"def get_random_schedule(hot_cases, cold_cases):\n",
" times = []\n",
" pitch = []\n",
" t = -1\n",
" for n in range(40):\n",
" hot = get_random_dwell(hot_cases)\n",
" cold = get_random_dwell(cold_cases)\n",
" times.extend([0, cold[\"t_dwell2\"], 0, hot[\"t_dwell2\"]])\n",
" pitch.extend([cold[\"pitch2\"], cold[\"pitch2\"], hot[\"pitch2\"], hot[\"pitch2\"]])\n",
" schedule = {\"pitch\": np.array(pitch)}\n",
" times = CxoTime(date).secs - 30 * 24 * 3600.0 + np.cumsum(times)\n",
" return times, schedule"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next, filter the hot and cold balance dwell information from above to include only the converged solutions (which are the only ones plotted above). "
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"cold_cases = results1[(results1[\"converged\"] == True)]\n",
"hot_cases = results2[(results2[\"converged\"] == True)]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Combine the hot and cold dwells in alternating cold-hot-cold-hot... schedule."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"times, schedule = get_random_schedule(hot_cases, cold_cases)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Run this schedule and plot the output."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
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"source": [
"model_init = {\"aacccdpt\": -6.5, \"aca0\": -5.0, \"eclipse\": False}\n",
"output = run_profile(times, schedule, msid, aca_model_spec, model_init)\n",
"plot_dict = generate_random_balanced_dwell_plot_dict(\n",
" output[msid], 'Extended Random \"Balanced\" Schedule', units=\"Celsius\"\n",
")\n",
"pio.show(plot_dict)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As can be seen in the plot above, the temperature peaks do not all touch the limit line without exceeding it. The peaks bounce around both above and below the limit, however no clear increasing or decreasing temperature trend can be seen in the data. Note that each time the code above is run, a different schedule will be produced so it will be difficult to precisely reproduce the random balanced schedule plot above."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"## Generate a Composite Maximum Dwell Estimate \n",
"\n",
"### Manual calculation using MUPS2A, ACA, ACIS FP\n",
"\n",
"\n",
"Next well review how one can determine the composite maximum dwell capability over the observable pitch range. Instead of using all models, in this case we'll use three models to simplify the process. Since the MUPS2A, ACA, and ACIS FP models tend to be the most limiting in their respective heating regions, we'll use these three to define this composite dwell capability curve. A more comprehensive analysis using all models with associated dwell limits will be performed later, using built-in timbre methods."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"__________\n",
"\n",
"### Start of Iteration #1\n",
"\n",
"#### ACA Model\n",
"First we start the iteration using the ACA model since that is what we are already familiar with."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"msid = \"aacccdpt\"\n",
"aca_model_spec, aca_md5 = get_local_model(\"../timbre/tests/data/aca_spec.json\")\n",
"date = \"2022:001:00:00:00\"\n",
"aca_limit = -6.5"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The constant conditions are conditions that do not change for the case we are running, such as roll, CCD count, FEP count, clocking, etc. In this case there are no constant conditions that need to be specified because the ACA model does not include roll, so we assign an empty list to this variable."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"aca_constant_conditions = {}"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"When the method of how to generate a set of balanced limited and offset dwell curve could be generated was introduced above for the ACA model, the concept of using \"anchor points\" was used to aid in defining these curves. It is important to remember that, for a set of balanced limited and offset curves, any point on a limited curve can be balanced by any point on the associated offset curve, and visa versa. This allows us to limit the number of pitch values we need to characterize a model's dwell capability.\n",
"\n",
"Since the ACA model is limited at normal sun, and 90 degrees reliably sits in that range, we'll use 90 degrees to \"anchor\" the limited curve for the ACA model. Since the ACA model reliably cools at 160 degrees pitch, we'll use that pitch to \"anchor\" the offset curve."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"aca_anchor_offset_pitch = 160\n",
"aca_anchor_limited_pitch = 90"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To start we'll assume the available offset time will be 100 Ks. This clearly is far higher than we would expect to be available, however this allows the algorithm to avoid being unnecessarily limited from the outset. As we step through this algorithm, this value will be updated with more realistic values.\n",
"\n",
"Additionally, we'll work with a very coarse distribution of pitch values, in fact we'll only need four pitch values. These four pitch values either serve as an anchor limited pitch or anchor offset pitch for the three models we'll be using for this example."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [],
"source": [
"aca_anchor_offset_time = 100000\n",
"pitch_range = [60, 90, 160, 170]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Initialize a class that includes the methods necessary to balance the ACA model."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [],
"source": [
"aca = BalanceAACCCDPT(date, aca_model_spec, aca_limit, aca_constant_conditions)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Find the limited time at the `aca_anchor_limited_pitch` that balances the previously defined `aca_anchor_offset_time` at the `anchor_offset_pitch`. This will yield the last piece of information we'll need to resolve the full limited and offset curves. Please keep in mind that, since the `aca_anchor_offset_time` was set to a large value, we can expect a similarly unrealistic value for the `aca_anchor_limited_time`, however this value will be refined during subsequent iterations to a realistic value."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Anchor Limited Time: 72203.80963871328\n"
]
}
],
"source": [
"aca.find_anchor_condition(\n",
" aca_anchor_offset_pitch, aca_anchor_limited_pitch, aca_anchor_offset_time, \n",
" aca_limit\n",
")\n",
"print(f\"Anchor Limited Time: {aca.anchor_limited_time}\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now that the anchor time has been defined, resolve the limited and offset curves for only the pitch values we need. The `generate_balanced_pitch_dwells` method executes the following two steps and then combines the data into the `results` attribute.\n",
" 1. Calculate the offset dwell curve for all values in `pitch_range` yielded by `aca_anchor_limited_time` at the `aca_anchor_limited_pitch`. This should reproduce an offset time at `aca_anchor_offset_pitch` that is _very close_ , but not necessarily exactly the same as the original `aca_anchor_offset_time` assumed. In row 2 below, you see that at the `aca_anchor_offset_pitch` of 160 degrees, a value of 104406 seconds was calculated, not 100000 seconds. This is expected and is an example of slight errors that can creep into these calculations. \n",
" 2. Use the newly calculated offset dwell time at the `aca_anchor_offset_pitch` of 160 degrees to calculate the limited dwell curve for all pitch values defined in `pitch_range`. This will also likely produce a new anchor limited time at the `aca_anchor_limited_pitch` of 90 degrees that is slightly different than that calculated above."
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [],
"source": [
"aca.results = aca.generate_balanced_pitch_dwells(\n",
" aca.datesecs,\n",
" aca_anchor_limited_pitch,\n",
" aca.anchor_limited_time,\n",
" aca_anchor_offset_pitch,\n",
" aca_anchor_offset_time,\n",
" aca.limit,\n",
" pitch_range,\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The set of results that are produced include both the limited and offset conditions, along with the cases that did not \"converge\"."
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
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" max_temp | \n",
" min_pseudo | \n",
" ... | \n",
" max_pseudo | \n",
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" unconverged_hot | \n",
" unconverged_cold | \n",
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8 rows × 21 columns
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"
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"text/plain": [
" msid date datesecs limit t_dwell1 t_dwell2 \\\n",
"0 aacccdpt 2022:001 7.573825e+08 -6.5 72203.809639 NaN \n",
"1 aacccdpt 2022:001 7.573825e+08 -6.5 72203.809639 NaN \n",
"2 aacccdpt 2022:001 7.573825e+08 -6.5 72203.809639 100448.041122 \n",
"3 aacccdpt 2022:001 7.573825e+08 -6.5 72203.809639 48696.835196 \n",
"4 aacccdpt 2022:001 7.573825e+08 -6.5 100448.041122 269180.645364 \n",
"5 aacccdpt 2022:001 7.573825e+08 -6.5 100448.041122 72327.365135 \n",
"6 aacccdpt 2022:001 7.573825e+08 -6.5 100448.041122 NaN \n",
"7 aacccdpt 2022:001 7.573825e+08 -6.5 100448.041122 NaN \n",
"\n",
" min_temp mean_temp max_temp min_pseudo ... max_pseudo converged \\\n",
"0 -6.096723 -5.397631 -2.984467 NaN ... NaN False \n",
"1 0.656682 0.723773 0.774326 NaN ... NaN False \n",
"2 -11.304270 -8.887973 -6.500000 NaN ... NaN True \n",
"3 -10.281769 -8.444516 -6.500000 NaN ... NaN True \n",
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"6 -15.832137 -15.788105 -15.758273 NaN ... NaN False \n",
"7 -15.835247 -15.790552 -15.759290 NaN ... NaN False \n",
"\n",
" unconverged_hot unconverged_cold hotter_state colder_state pitch1 \\\n",
"0 True False 1 2 90 \n",
"1 True False 1 2 90 \n",
"2 False False 1 2 90 \n",
"3 False False 1 2 90 \n",
"4 False False 2 1 160 \n",
"5 False False 2 1 160 \n",
"6 False True 2 1 160 \n",
"7 False True 1 2 160 \n",
"\n",
" eclipse1 pitch2 eclipse2 \n",
"0 False 60 False \n",
"1 False 90 False \n",
"2 False 160 False \n",
"3 False 170 False \n",
"4 False 60 False \n",
"5 False 90 False \n",
"6 False 160 False \n",
"7 False 170 False \n",
"\n",
"[8 rows x 21 columns]"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pd.DataFrame(aca.results)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It will be helpful to keep the offset dwell results and the limited dwell results separate and organized by pitch. Timbre includes methods to extract the limited data using the original `anchor_offset_pitch`, and likewise a method to extract the offset data using the original `anchor_limited_pitch`."
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
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" mean_temp | \n",
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" msid date datesecs limit t_dwell1 t_dwell2 \\\n",
"0 aacccdpt 2022:001 7.573825e+08 -6.5 100448.041122 269180.645364 \n",
"1 aacccdpt 2022:001 7.573825e+08 -6.5 100448.041122 72327.365135 \n",
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"0 -11.921017 -8.681753 -6.5 NaN ... NaN True \n",
"1 -11.286833 -8.879340 -6.5 NaN ... NaN True \n",
"\n",
" unconverged_hot unconverged_cold hotter_state colder_state pitch1 \\\n",
"0 False False 2 1 160 \n",
"1 False False 2 1 160 \n",
"\n",
" eclipse1 pitch2 eclipse2 \n",
"0 False 60 False \n",
"1 False 90 False \n",
"\n",
"[2 rows x 21 columns]"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"aca_limited_results = get_limited_results(aca.results, aca_anchor_offset_pitch)\n",
"pd.DataFrame(aca_limited_results)"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
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" min_pseudo | \n",
" ... | \n",
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" converged | \n",
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" unconverged_cold | \n",
" hotter_state | \n",
" colder_state | \n",
" pitch1 | \n",
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" pitch2 | \n",
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" msid date datesecs limit t_dwell1 t_dwell2 \\\n",
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"1 aacccdpt 2022:001 7.573825e+08 -6.5 72203.809639 48696.835196 \n",
"\n",
" min_temp mean_temp max_temp min_pseudo ... max_pseudo converged \\\n",
"0 -11.304270 -8.887973 -6.5 NaN ... NaN True \n",
"1 -10.281769 -8.444516 -6.5 NaN ... NaN True \n",
"\n",
" unconverged_hot unconverged_cold hotter_state colder_state pitch1 \\\n",
"0 False False 1 2 90 \n",
"1 False False 1 2 90 \n",
"\n",
" eclipse1 pitch2 eclipse2 \n",
"0 False 160 False \n",
"1 False 170 False \n",
"\n",
"[2 rows x 21 columns]"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"aca_offset_results = get_offset_results(aca.results, aca_anchor_limited_pitch)\n",
"pd.DataFrame(aca_offset_results)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It will also be helpful to keep a record of max dwell durations, as this will be key to determining the maximum available cooling time. We want the minimum of the set of values including the existing maximum dwell duration of 100 Ks, and the ACA dwell limits. Since a value over 100 Ks was calculated for the ACA at 60 degrees, the value of 100 Ks remains."
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"60 100000.000000\n",
"90 72327.365135\n",
"160 100000.000000\n",
"170 100000.000000\n",
"dtype: float64"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dwell_limits = pd.Series([100000, 100000, 100000, 100000], index=[60, 90, 160, 170])\n",
"\n",
"pitch = aca_limited_results[\"pitch2\"]\n",
"t_dwell2 = aca_limited_results[\"t_dwell2\"]\n",
"dwell_limits.loc[pitch] = np.minimum(t_dwell2, dwell_limits.loc[pitch])\n",
"dwell_limits"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"These values will serve as the maximum available offset time for further steps and iterations.\n",
"\n",
"#### ACIS FP Model\n",
"Next, determine the maximum available limited time, and the associated offset time for the ACIS FP model."
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [],
"source": [
"msid = \"fptemp_11\"\n",
"fp_model_spec, fp_md5 = get_local_model(\"../timbre/tests/data/acisfp_spec.json\")\n",
"fp_limit = -112.0\n",
"roll = 0.0\n",
"chips = 4\n",
"fp_constant_conditions = {\n",
" \"roll\": roll,\n",
" \"fep_count\": chips,\n",
" \"ccd_count\": chips,\n",
" \"clocking\": True,\n",
" \"vid_board\": True,\n",
" \"sim_z\": 100000,\n",
"}\n",
"fp_anchor_offset_pitch = 60\n",
"fp_anchor_limited_pitch = 170"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The anchor offset time will be taken from the `dwell_limits` data at a pitch of 60 degrees, though at this point it is still set to 100 Ks."
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [],
"source": [
"fp_anchor_offset_time = dwell_limits.loc[fp_anchor_offset_pitch]"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Anchor Limited Time: 24670.105416242033\n"
]
}
],
"source": [
"fp = BalanceFPTEMP_11(date, fp_model_spec, fp_limit, fp_constant_conditions)\n",
"fp.find_anchor_condition(\n",
" fp_anchor_offset_pitch, \n",
" fp_anchor_limited_pitch, \n",
" fp_anchor_offset_time, \n",
" fp_limit\n",
")\n",
"print(f\"Anchor Limited Time: {fp.anchor_limited_time}\")"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
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8 rows × 51 columns
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"
"
],
"text/plain": [
" msid date datesecs limit t_dwell1 t_dwell2 \\\n",
"0 fptemp 2022:001 7.573825e+08 -112.0 24670.105416 39398.209103 \n",
"1 fptemp 2022:001 7.573825e+08 -112.0 24670.105416 NaN \n",
"2 fptemp 2022:001 7.573825e+08 -112.0 24670.105416 NaN \n",
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"5 fptemp 2022:001 7.573825e+08 -112.0 39398.209103 NaN \n",
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"7 fptemp 2022:001 7.573825e+08 -112.0 39398.209103 24695.416134 \n",
"\n",
" min_temp mean_temp max_temp min_pseudo ... eclipse2 dpa_power2 \\\n",
"0 -120.033283 -117.013528 -112.000000 NaN ... False 0.0 \n",
"1 -119.873395 -119.443016 -111.600568 NaN ... False 0.0 \n",
"2 -100.646472 -100.545703 -100.476067 NaN ... False 0.0 \n",
"3 -100.682247 -100.569438 -100.487636 NaN ... False 0.0 \n",
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"6 -119.937834 -117.008236 -112.000000 NaN ... False 0.0 \n",
"7 -120.018033 -117.012391 -112.000000 NaN ... False 0.0 \n",
"\n",
" orbitephem0_x2 orbitephem0_y2 orbitephem0_z2 aoattqt12 aoattqt22 \\\n",
"0 25000000.0 25000000.0 25000000.0 0.0 0.0 \n",
"1 25000000.0 25000000.0 25000000.0 0.0 0.0 \n",
"2 25000000.0 25000000.0 25000000.0 0.0 0.0 \n",
"3 25000000.0 25000000.0 25000000.0 0.0 0.0 \n",
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"6 25000000.0 25000000.0 25000000.0 0.0 0.0 \n",
"7 25000000.0 25000000.0 25000000.0 0.0 0.0 \n",
"\n",
" aoattqt32 aoattqt42 dh_heater2 \n",
"0 0.0 1.0 False \n",
"1 0.0 1.0 False \n",
"2 0.0 1.0 False \n",
"3 0.0 1.0 False \n",
"4 0.0 1.0 False \n",
"5 0.0 1.0 False \n",
"6 0.0 1.0 False \n",
"7 0.0 1.0 False \n",
"\n",
"[8 rows x 51 columns]"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fp.results = fp.generate_balanced_pitch_dwells(\n",
" fp.datesecs,\n",
" fp_anchor_limited_pitch,\n",
" fp.anchor_limited_time,\n",
" fp_anchor_offset_pitch,\n",
" fp_anchor_offset_time,\n",
" fp.limit,\n",
" pitch_range,\n",
")\n",
"pd.DataFrame(fp.results)"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
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" \n",
" \n",
" | \n",
" msid | \n",
" date | \n",
" datesecs | \n",
" limit | \n",
" t_dwell1 | \n",
" t_dwell2 | \n",
" min_temp | \n",
" mean_temp | \n",
" max_temp | \n",
" min_pseudo | \n",
" ... | \n",
" eclipse2 | \n",
" dpa_power2 | \n",
" orbitephem0_x2 | \n",
" orbitephem0_y2 | \n",
" orbitephem0_z2 | \n",
" aoattqt12 | \n",
" aoattqt22 | \n",
" aoattqt32 | \n",
" aoattqt42 | \n",
" dh_heater2 | \n",
"
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" \n",
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" msid date datesecs limit t_dwell1 t_dwell2 \\\n",
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"1 fptemp 2022:001 7.573825e+08 -112.0 39398.209103 24695.416134 \n",
"\n",
" min_temp mean_temp max_temp min_pseudo ... eclipse2 dpa_power2 \\\n",
"0 -119.937834 -117.008236 -112.0 NaN ... False 0.0 \n",
"1 -120.018033 -117.012391 -112.0 NaN ... False 0.0 \n",
"\n",
" orbitephem0_x2 orbitephem0_y2 orbitephem0_z2 aoattqt12 aoattqt22 \\\n",
"0 25000000.0 25000000.0 25000000.0 0.0 0.0 \n",
"1 25000000.0 25000000.0 25000000.0 0.0 0.0 \n",
"\n",
" aoattqt32 aoattqt42 dh_heater2 \n",
"0 0.0 1.0 False \n",
"1 0.0 1.0 False \n",
"\n",
"[2 rows x 51 columns]"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fp_limited_results = get_limited_results(fp.results, fp_anchor_offset_pitch)\n",
"pd.DataFrame(fp_limited_results)"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
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" \n",
" \n",
" | \n",
" msid | \n",
" date | \n",
" datesecs | \n",
" limit | \n",
" t_dwell1 | \n",
" t_dwell2 | \n",
" min_temp | \n",
" mean_temp | \n",
" max_temp | \n",
" min_pseudo | \n",
" ... | \n",
" eclipse2 | \n",
" dpa_power2 | \n",
" orbitephem0_x2 | \n",
" orbitephem0_y2 | \n",
" orbitephem0_z2 | \n",
" aoattqt12 | \n",
" aoattqt22 | \n",
" aoattqt32 | \n",
" aoattqt42 | \n",
" dh_heater2 | \n",
"
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" \n",
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" | 0 | \n",
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" msid date datesecs limit t_dwell1 t_dwell2 \\\n",
"0 fptemp 2022:001 7.573825e+08 -112.0 24670.105416 39398.209103 \n",
"\n",
" min_temp mean_temp max_temp min_pseudo ... eclipse2 dpa_power2 \\\n",
"0 -120.033283 -117.013528 -112.0 NaN ... False 0.0 \n",
"\n",
" orbitephem0_x2 orbitephem0_y2 orbitephem0_z2 aoattqt12 aoattqt22 \\\n",
"0 25000000.0 25000000.0 25000000.0 0.0 0.0 \n",
"\n",
" aoattqt32 aoattqt42 dh_heater2 \n",
"0 0.0 1.0 False \n",
"\n",
"[1 rows x 51 columns]"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fp_offset_results = get_offset_results(fp.results, fp_anchor_limited_pitch)\n",
"pd.DataFrame(fp_offset_results)"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"60 100000.000000\n",
"90 72327.365135\n",
"160 24601.070822\n",
"170 24695.416134\n",
"dtype: float64"
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pitch = fp_limited_results[\"pitch2\"]\n",
"t_dwell2 = fp_limited_results[\"t_dwell2\"]\n",
"dwell_limits.loc[pitch] = np.minimum(t_dwell2, dwell_limits.loc[pitch])\n",
"dwell_limits"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### MUPS2A Model"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Anchor Limited Time: 18385.409767875644\n"
]
}
],
"source": [
"msid = \"pm2thv1t\"\n",
"mups2a_model_spec, mups2a_md5 = get_local_model(\n",
" \"../timbre/tests/data/pm2thv1t_spec.json\"\n",
")\n",
"mups2a_limit = f_to_c(210.0)\n",
"mups2a_constant_conditions = {\"roll\": roll}\n",
"mups2a_anchor_offset_pitch = 160\n",
"mups2a_anchor_limited_pitch = 60\n",
"mups2a_anchor_offset_time = dwell_limits.loc[mups2a_anchor_offset_pitch]\n",
"mups2a = BalancePM2THV1T(\n",
" date, mups2a_model_spec, mups2a_limit, mups2a_constant_conditions\n",
")\n",
"mups2a.find_anchor_condition(\n",
" mups2a_anchor_offset_pitch,\n",
" mups2a_anchor_limited_pitch,\n",
" mups2a_anchor_offset_time,\n",
" mups2a_limit,\n",
")\n",
"print(f\"Anchor Limited Time: {mups2a.anchor_limited_time}\")"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"data": {
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" | \n",
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" t_dwell2 | \n",
" min_temp | \n",
" mean_temp | \n",
" max_temp | \n",
" min_pseudo | \n",
" ... | \n",
" unconverged_hot | \n",
" unconverged_cold | \n",
" hotter_state | \n",
" colder_state | \n",
" pitch1 | \n",
" roll1 | \n",
" eclipse1 | \n",
" pitch2 | \n",
" roll2 | \n",
" eclipse2 | \n",
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" 2022:001 | \n",
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"
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" | 2 | \n",
" pm2thv1t | \n",
" 2022:001 | \n",
" 7.573825e+08 | \n",
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" 18385.409768 | \n",
" 25270.392514 | \n",
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" 2 | \n",
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" False | \n",
" 160 | \n",
" 0.0 | \n",
" False | \n",
"
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" | 3 | \n",
" pm2thv1t | \n",
" 2022:001 | \n",
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" 18385.409768 | \n",
" 10902.108270 | \n",
" 44.506473 | \n",
" 75.980413 | \n",
" 98.888889 | \n",
" NaN | \n",
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" False | \n",
" 1 | \n",
" 2 | \n",
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" 170 | \n",
" 0.0 | \n",
" False | \n",
"
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" | 4 | \n",
" pm2thv1t | \n",
" 2022:001 | \n",
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" 60 | \n",
" 0.0 | \n",
" False | \n",
"
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" | 5 | \n",
" pm2thv1t | \n",
" 2022:001 | \n",
" 7.573825e+08 | \n",
" 98.888889 | \n",
" 25270.392514 | \n",
" 49587.952066 | \n",
" 51.947885 | \n",
" 82.013789 | \n",
" 98.888889 | \n",
" NaN | \n",
" ... | \n",
" False | \n",
" False | \n",
" 2 | \n",
" 1 | \n",
" 160 | \n",
" 0.0 | \n",
" False | \n",
" 90 | \n",
" 0.0 | \n",
" False | \n",
"
\n",
" \n",
" | 6 | \n",
" pm2thv1t | \n",
" 2022:001 | \n",
" 7.573825e+08 | \n",
" 98.888889 | \n",
" 25270.392514 | \n",
" NaN | \n",
" 43.544993 | \n",
" 43.617014 | \n",
" 43.660588 | \n",
" NaN | \n",
" ... | \n",
" False | \n",
" True | \n",
" 1 | \n",
" 2 | \n",
" 160 | \n",
" 0.0 | \n",
" False | \n",
" 160 | \n",
" 0.0 | \n",
" False | \n",
"
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" \n",
" | 7 | \n",
" pm2thv1t | \n",
" 2022:001 | \n",
" 7.573825e+08 | \n",
" 98.888889 | \n",
" 25270.392514 | \n",
" NaN | \n",
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" 43.617014 | \n",
" 43.660588 | \n",
" NaN | \n",
" ... | \n",
" False | \n",
" True | \n",
" 1 | \n",
" 2 | \n",
" 160 | \n",
" 0.0 | \n",
" False | \n",
" 170 | \n",
" 0.0 | \n",
" False | \n",
"
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" \n",
"
\n",
"
8 rows × 23 columns
\n",
"
"
],
"text/plain": [
" msid date datesecs limit t_dwell1 t_dwell2 \\\n",
"0 pm2thv1t 2022:001 7.573825e+08 98.888889 18385.409768 NaN \n",
"1 pm2thv1t 2022:001 7.573825e+08 98.888889 18385.409768 NaN \n",
"2 pm2thv1t 2022:001 7.573825e+08 98.888889 18385.409768 25270.392514 \n",
"3 pm2thv1t 2022:001 7.573825e+08 98.888889 18385.409768 10902.108270 \n",
"4 pm2thv1t 2022:001 7.573825e+08 98.888889 25270.392514 18512.578263 \n",
"5 pm2thv1t 2022:001 7.573825e+08 98.888889 25270.392514 49587.952066 \n",
"6 pm2thv1t 2022:001 7.573825e+08 98.888889 25270.392514 NaN \n",
"7 pm2thv1t 2022:001 7.573825e+08 98.888889 25270.392514 NaN \n",
"\n",
" min_temp mean_temp max_temp min_pseudo ... unconverged_hot \\\n",
"0 109.493364 109.625270 109.728760 NaN ... True \n",
"1 101.362551 101.647938 108.138645 NaN ... True \n",
"2 49.949234 71.277158 98.888889 NaN ... False \n",
"3 44.506473 75.980413 98.888889 NaN ... False \n",
"4 50.002154 71.641495 98.888889 NaN ... False \n",
"5 51.947885 82.013789 98.888889 NaN ... False \n",
"6 43.544993 43.617014 43.660588 NaN ... False \n",
"7 43.544993 43.617014 43.660588 NaN ... False \n",
"\n",
" unconverged_cold hotter_state colder_state pitch1 roll1 eclipse1 \\\n",
"0 False 1 2 60 0.0 False \n",
"1 False 1 2 60 0.0 False \n",
"2 False 1 2 60 0.0 False \n",
"3 False 1 2 60 0.0 False \n",
"4 False 2 1 160 0.0 False \n",
"5 False 2 1 160 0.0 False \n",
"6 True 1 2 160 0.0 False \n",
"7 True 1 2 160 0.0 False \n",
"\n",
" pitch2 roll2 eclipse2 \n",
"0 60 0.0 False \n",
"1 90 0.0 False \n",
"2 160 0.0 False \n",
"3 170 0.0 False \n",
"4 60 0.0 False \n",
"5 90 0.0 False \n",
"6 160 0.0 False \n",
"7 170 0.0 False \n",
"\n",
"[8 rows x 23 columns]"
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"mups2a.results = mups2a.generate_balanced_pitch_dwells(\n",
" mups2a.datesecs,\n",
" mups2a_anchor_limited_pitch,\n",
" mups2a.anchor_limited_time,\n",
" mups2a_anchor_offset_pitch,\n",
" mups2a_anchor_offset_time,\n",
" mups2a.limit,\n",
" pitch_range,\n",
")\n",
"pd.DataFrame(mups2a.results)"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" msid | \n",
" date | \n",
" datesecs | \n",
" limit | \n",
" t_dwell1 | \n",
" t_dwell2 | \n",
" min_temp | \n",
" mean_temp | \n",
" max_temp | \n",
" min_pseudo | \n",
" ... | \n",
" unconverged_hot | \n",
" unconverged_cold | \n",
" hotter_state | \n",
" colder_state | \n",
" pitch1 | \n",
" roll1 | \n",
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" roll2 | \n",
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" \n",
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\n",
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2 rows × 23 columns
\n",
"
"
],
"text/plain": [
" msid date datesecs limit t_dwell1 t_dwell2 \\\n",
"0 pm2thv1t 2022:001 7.573825e+08 98.888889 25270.392514 18512.578263 \n",
"1 pm2thv1t 2022:001 7.573825e+08 98.888889 25270.392514 49587.952066 \n",
"\n",
" min_temp mean_temp max_temp min_pseudo ... unconverged_hot \\\n",
"0 50.002154 71.641495 98.888889 NaN ... False \n",
"1 51.947885 82.013789 98.888889 NaN ... False \n",
"\n",
" unconverged_cold hotter_state colder_state pitch1 roll1 eclipse1 \\\n",
"0 False 2 1 160 0.0 False \n",
"1 False 2 1 160 0.0 False \n",
"\n",
" pitch2 roll2 eclipse2 \n",
"0 60 0.0 False \n",
"1 90 0.0 False \n",
"\n",
"[2 rows x 23 columns]"
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"mups2a_limited_results = get_limited_results(mups2a.results, \n",
" mups2a_anchor_offset_pitch)\n",
"pd.DataFrame(mups2a_limited_results)"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" msid | \n",
" date | \n",
" datesecs | \n",
" limit | \n",
" t_dwell1 | \n",
" t_dwell2 | \n",
" min_temp | \n",
" mean_temp | \n",
" max_temp | \n",
" min_pseudo | \n",
" ... | \n",
" unconverged_hot | \n",
" unconverged_cold | \n",
" hotter_state | \n",
" colder_state | \n",
" pitch1 | \n",
" roll1 | \n",
" eclipse1 | \n",
" pitch2 | \n",
" roll2 | \n",
" eclipse2 | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" pm2thv1t | \n",
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" msid date datesecs limit t_dwell1 t_dwell2 \\\n",
"0 pm2thv1t 2022:001 7.573825e+08 98.888889 18385.409768 25270.392514 \n",
"1 pm2thv1t 2022:001 7.573825e+08 98.888889 18385.409768 10902.108270 \n",
"\n",
" min_temp mean_temp max_temp min_pseudo ... unconverged_hot \\\n",
"0 49.949234 71.277158 98.888889 NaN ... False \n",
"1 44.506473 75.980413 98.888889 NaN ... False \n",
"\n",
" unconverged_cold hotter_state colder_state pitch1 roll1 eclipse1 \\\n",
"0 False 1 2 60 0.0 False \n",
"1 False 1 2 60 0.0 False \n",
"\n",
" pitch2 roll2 eclipse2 \n",
"0 160 0.0 False \n",
"1 170 0.0 False \n",
"\n",
"[2 rows x 23 columns]"
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"mups2a_offset_results = get_offset_results(mups2a.results, \n",
" mups2a_anchor_limited_pitch)\n",
"pd.DataFrame(mups2a_offset_results)"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"60 18512.578263\n",
"90 49587.952066\n",
"160 24601.070822\n",
"170 24695.416134\n",
"dtype: float64"
]
},
"execution_count": 41,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pitch = mups2a_limited_results[\"pitch2\"]\n",
"t_dwell2 = mups2a_limited_results[\"t_dwell2\"]\n",
"dwell_limits.loc[pitch] = np.minimum(t_dwell2, dwell_limits.loc[pitch])\n",
"dwell_limits"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Iteration #1 Results\n",
"\n",
"As we can see below, the originally assumed offset dwell time of 100 Ks for the ACA and ACIS FP steps exceeds the actual available offset times. This likely resulted in the calculated limited dwell time exceeding the actual achievable limited dwell time, so another iteration will be necessary. This next iteration will start with the final available dwell times calculated above, stored in the `dwell_limits` datastructure."
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Anchor Limited Pitch | \n",
" Calculated Anchor Limited Time | \n",
" Anchor Offset Pitch | \n",
" Originally Assumed Available Offset Time | \n",
" Final Available Dwell Time | \n",
"
\n",
" \n",
" \n",
" \n",
" | ACA | \n",
" 90 | \n",
" 72203.809639 | \n",
" 160 | \n",
" 100000.000000 | \n",
" 24601.070822 | \n",
"
\n",
" \n",
" | ACIS FP | \n",
" 170 | \n",
" 24670.105416 | \n",
" 60 | \n",
" 100000.000000 | \n",
" 18512.578263 | \n",
"
\n",
" \n",
" | MUPS2A | \n",
" 60 | \n",
" 18385.409768 | \n",
" 160 | \n",
" 24601.070822 | \n",
" 24601.070822 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Anchor Limited Pitch Calculated Anchor Limited Time \\\n",
"ACA 90 72203.809639 \n",
"ACIS FP 170 24670.105416 \n",
"MUPS2A 60 18385.409768 \n",
"\n",
" Anchor Offset Pitch Originally Assumed Available Offset Time \\\n",
"ACA 160 100000.000000 \n",
"ACIS FP 60 100000.000000 \n",
"MUPS2A 160 24601.070822 \n",
"\n",
" Final Available Dwell Time \n",
"ACA 24601.070822 \n",
"ACIS FP 18512.578263 \n",
"MUPS2A 24601.070822 "
]
},
"execution_count": 42,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dwell_assumptions = (\n",
" (\n",
" aca_anchor_limited_pitch,\n",
" aca.anchor_limited_time,\n",
" aca_anchor_offset_pitch,\n",
" aca.anchor_offset_time,\n",
" dwell_limits.loc[aca_anchor_offset_pitch],\n",
" ),\n",
" (\n",
" fp_anchor_limited_pitch,\n",
" fp.anchor_limited_time,\n",
" fp_anchor_offset_pitch,\n",
" fp.anchor_offset_time,\n",
" dwell_limits.loc[fp_anchor_offset_pitch],\n",
" ),\n",
" (\n",
" mups2a_anchor_limited_pitch,\n",
" mups2a.anchor_limited_time,\n",
" mups2a_anchor_offset_pitch,\n",
" mups2a.anchor_offset_time,\n",
" dwell_limits.loc[mups2a_anchor_offset_pitch],\n",
" ),\n",
")\n",
"pd.DataFrame(\n",
" dwell_assumptions,\n",
" index=(\"ACA\", \"ACIS FP\", \"MUPS2A\"),\n",
" columns=(\n",
" \"Anchor Limited Pitch\",\n",
" \"Calculated Anchor Limited Time\",\n",
" \"Anchor Offset Pitch\",\n",
" \"Originally Assumed Available Offset Time\",\n",
" \"Final Available Dwell Time\",\n",
" ),\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"___________________________________________________________________________________________\n",
"### Start of Iteration #2"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"60 18512.578263\n",
"90 28900.515806\n",
"160 24601.070822\n",
"170 24695.416134\n",
"dtype: float64"
]
},
"execution_count": 43,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"aca_anchor_offset_time = dwell_limits.loc[aca_anchor_offset_pitch]\n",
"aca.find_anchor_condition(\n",
" aca_anchor_offset_pitch, \n",
" aca_anchor_limited_pitch, \n",
" aca_anchor_offset_time, \n",
" aca_limit\n",
")\n",
"aca.results = aca.generate_balanced_pitch_dwells(\n",
" aca.datesecs,\n",
" aca_anchor_limited_pitch,\n",
" aca.anchor_limited_time,\n",
" aca_anchor_offset_pitch,\n",
" aca_anchor_offset_time,\n",
" aca.limit,\n",
" pitch_range,\n",
")\n",
"aca_limited_results = get_limited_results(aca.results, aca_anchor_offset_pitch)\n",
"aca_offset_results = get_offset_results(aca.results, aca_anchor_limited_pitch)\n",
"\n",
"dwell_limits.loc[aca_limited_results[\"pitch2\"]] = np.minimum(\n",
" aca_limited_results[\"t_dwell2\"], \n",
" dwell_limits.loc[aca_limited_results[\"pitch2\"]]\n",
")\n",
"dwell_limits"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"60 18512.578263\n",
"90 28900.515806\n",
"160 18917.180033\n",
"170 19380.289094\n",
"dtype: float64"
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fp_anchor_offset_time = dwell_limits.loc[fp_anchor_offset_pitch]\n",
"fp.find_anchor_condition(\n",
" fp_anchor_offset_pitch, \n",
" fp_anchor_limited_pitch, \n",
" fp_anchor_offset_time, \n",
" fp_limit\n",
")\n",
"fp.results = fp.generate_balanced_pitch_dwells(\n",
" fp.datesecs,\n",
" fp_anchor_limited_pitch,\n",
" fp.anchor_limited_time,\n",
" fp_anchor_offset_pitch,\n",
" fp_anchor_offset_time,\n",
" fp.limit,\n",
" pitch_range,\n",
")\n",
"fp_limited_results = get_limited_results(fp.results, fp_anchor_offset_pitch)\n",
"fp_offset_results = get_offset_results(fp.results, fp_anchor_limited_pitch)\n",
"\n",
"dwell_limits.loc[fp_limited_results[\"pitch2\"]] = np.minimum(\n",
" fp_limited_results[\"t_dwell2\"], dwell_limits.loc[fp_limited_results[\"pitch2\"]]\n",
")\n",
"dwell_limits"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"60 17021.054085\n",
"90 28900.515806\n",
"160 18917.180033\n",
"170 19380.289094\n",
"dtype: float64"
]
},
"execution_count": 45,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"mups2a_anchor_offset_time = dwell_limits.loc[mups2a_anchor_offset_pitch]\n",
"mups2a.find_anchor_condition(\n",
" mups2a_anchor_offset_pitch,\n",
" mups2a_anchor_limited_pitch,\n",
" mups2a_anchor_offset_time,\n",
" mups2a_limit,\n",
")\n",
"mups2a.results = mups2a.generate_balanced_pitch_dwells(\n",
" mups2a.datesecs,\n",
" mups2a_anchor_limited_pitch,\n",
" mups2a.anchor_limited_time,\n",
" mups2a_anchor_offset_pitch,\n",
" mups2a_anchor_offset_time,\n",
" mups2a.limit,\n",
" pitch_range,\n",
")\n",
"mups2a_limited_results = get_limited_results(mups2a.results, \n",
" mups2a_anchor_offset_pitch)\n",
"mups2a_offset_results = get_offset_results(mups2a.results, \n",
" mups2a_anchor_limited_pitch)\n",
"\n",
"dwell_limits.loc[mups2a_limited_results[\"pitch2\"]] = np.minimum(\n",
" mups2a_limited_results[\"t_dwell2\"],\n",
" dwell_limits.loc[mups2a_limited_results[\"pitch2\"]],\n",
")\n",
"dwell_limits"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Anchor Limited Pitch | \n",
" Calculated Anchor Limited Time | \n",
" Anchor Offset Pitch | \n",
" Originally Assumed Available Offset Time | \n",
" Final Available Dwell Time | \n",
"
\n",
" \n",
" \n",
" \n",
" | ACA | \n",
" 90 | \n",
" 28942.027620 | \n",
" 160 | \n",
" 24601.070822 | \n",
" 18917.180033 | \n",
"
\n",
" \n",
" | ACIS FP | \n",
" 170 | \n",
" 19108.309075 | \n",
" 60 | \n",
" 18512.578263 | \n",
" 17021.054085 | \n",
"
\n",
" \n",
" | MUPS2A | \n",
" 60 | \n",
" 16999.747280 | \n",
" 160 | \n",
" 18917.180033 | \n",
" 18917.180033 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Anchor Limited Pitch Calculated Anchor Limited Time \\\n",
"ACA 90 28942.027620 \n",
"ACIS FP 170 19108.309075 \n",
"MUPS2A 60 16999.747280 \n",
"\n",
" Anchor Offset Pitch Originally Assumed Available Offset Time \\\n",
"ACA 160 24601.070822 \n",
"ACIS FP 60 18512.578263 \n",
"MUPS2A 160 18917.180033 \n",
"\n",
" Final Available Dwell Time \n",
"ACA 18917.180033 \n",
"ACIS FP 17021.054085 \n",
"MUPS2A 18917.180033 "
]
},
"execution_count": 46,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dwell_assumptions = (\n",
" (\n",
" aca_anchor_limited_pitch,\n",
" aca.anchor_limited_time,\n",
" aca_anchor_offset_pitch,\n",
" aca.anchor_offset_time,\n",
" dwell_limits.loc[aca_anchor_offset_pitch],\n",
" ),\n",
" (\n",
" fp_anchor_limited_pitch,\n",
" fp.anchor_limited_time,\n",
" fp_anchor_offset_pitch,\n",
" fp.anchor_offset_time,\n",
" dwell_limits.loc[fp_anchor_offset_pitch],\n",
" ),\n",
" (\n",
" mups2a_anchor_limited_pitch,\n",
" mups2a.anchor_limited_time,\n",
" mups2a_anchor_offset_pitch,\n",
" mups2a.anchor_offset_time,\n",
" dwell_limits.loc[mups2a_anchor_offset_pitch],\n",
" ),\n",
")\n",
"pd.DataFrame(\n",
" dwell_assumptions,\n",
" index=(\"ACA\", \"ACIS FP\", \"MUPS2A\"),\n",
" columns=(\n",
" \"Anchor Limited Pitch\",\n",
" \"Calculated Anchor Limited Time\",\n",
" \"Anchor Offset Pitch\",\n",
" \"Originally Assumed Available Offset Time\",\n",
" \"Final Available Dwell Time\",\n",
" ),\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As expected, the anchor limited times (i.e. the max hot times) have decreased as available offset time has been reduced. The final available dwell times (available for offset time) were also reduced so another iteration is necessary.\n",
"\n",
"___________________________________________________________________________________________\n",
"### Start of Iteration #3"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"60 17021.054085\n",
"90 22652.796803\n",
"160 18917.180033\n",
"170 19380.289094\n",
"dtype: float64"
]
},
"execution_count": 47,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"aca_anchor_offset_time = dwell_limits.loc[aca_anchor_offset_pitch]\n",
"aca.find_anchor_condition(\n",
" aca_anchor_offset_pitch, \n",
" aca_anchor_limited_pitch, \n",
" aca_anchor_offset_time, \n",
" aca_limit\n",
")\n",
"aca.results = aca.generate_balanced_pitch_dwells(\n",
" aca.datesecs,\n",
" aca_anchor_limited_pitch,\n",
" aca.anchor_limited_time,\n",
" aca_anchor_offset_pitch,\n",
" aca_anchor_offset_time,\n",
" aca.limit,\n",
" pitch_range,\n",
")\n",
"aca_limited_results = get_limited_results(aca.results, aca_anchor_offset_pitch)\n",
"aca_offset_results = get_offset_results(aca.results, aca_anchor_limited_pitch)\n",
"\n",
"dwell_limits.loc[aca_limited_results[\"pitch2\"]] = np.minimum(\n",
" aca_limited_results[\"t_dwell2\"], dwell_limits.loc[aca_limited_results[\"pitch2\"]]\n",
")\n",
"dwell_limits"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"60 17021.054085\n",
"90 22652.796803\n",
"160 17371.675441\n",
"170 17706.780277\n",
"dtype: float64"
]
},
"execution_count": 48,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fp_anchor_offset_time = dwell_limits.loc[fp_anchor_offset_pitch]\n",
"fp.find_anchor_condition(\n",
" fp_anchor_offset_pitch, \n",
" fp_anchor_limited_pitch, \n",
" fp_anchor_offset_time, \n",
" fp_limit\n",
")\n",
"fp.results = fp.generate_balanced_pitch_dwells(\n",
" fp.datesecs,\n",
" fp_anchor_limited_pitch,\n",
" fp.anchor_limited_time,\n",
" fp_anchor_offset_pitch,\n",
" fp_anchor_offset_time,\n",
" fp.limit,\n",
" pitch_range,\n",
")\n",
"fp_limited_results = get_limited_results(fp.results, fp_anchor_offset_pitch)\n",
"fp_offset_results = get_offset_results(fp.results, fp_anchor_limited_pitch)\n",
"\n",
"dwell_limits.loc[fp_limited_results[\"pitch2\"]] = np.minimum(\n",
" fp_limited_results[\"t_dwell2\"], dwell_limits.loc[fp_limited_results[\"pitch2\"]]\n",
")\n",
"dwell_limits"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"60 16576.192900\n",
"90 22652.796803\n",
"160 17371.675441\n",
"170 17706.780277\n",
"dtype: float64"
]
},
"execution_count": 49,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"mups2a_anchor_offset_time = dwell_limits.loc[mups2a_anchor_offset_pitch]\n",
"mups2a.find_anchor_condition(\n",
" mups2a_anchor_offset_pitch,\n",
" mups2a_anchor_limited_pitch,\n",
" mups2a_anchor_offset_time,\n",
" mups2a_limit,\n",
")\n",
"mups2a.results = mups2a.generate_balanced_pitch_dwells(\n",
" mups2a.datesecs,\n",
" mups2a_anchor_limited_pitch,\n",
" mups2a.anchor_limited_time,\n",
" mups2a_anchor_offset_pitch,\n",
" mups2a_anchor_offset_time,\n",
" mups2a.limit,\n",
" pitch_range,\n",
")\n",
"mups2a_limited_results = get_limited_results(mups2a.results, \n",
" mups2a_anchor_offset_pitch)\n",
"mups2a_offset_results = get_offset_results(mups2a.results, \n",
" mups2a_anchor_limited_pitch)\n",
"\n",
"dwell_limits.loc[mups2a_limited_results[\"pitch2\"]] = np.minimum(\n",
" mups2a_limited_results[\"t_dwell2\"],\n",
" dwell_limits.loc[mups2a_limited_results[\"pitch2\"]],\n",
")\n",
"dwell_limits"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Anchor Limited Pitch | \n",
" Calculated Anchor Limited Time | \n",
" Anchor Offset Pitch | \n",
" Originally Assumed Available Offset Time | \n",
" Final Available Dwell Time | \n",
"
\n",
" \n",
" \n",
" \n",
" | ACA | \n",
" 90 | \n",
" 22811.677902 | \n",
" 160 | \n",
" 18917.180033 | \n",
" 17371.675441 | \n",
"
\n",
" \n",
" | ACIS FP | \n",
" 170 | \n",
" 18037.256247 | \n",
" 60 | \n",
" 17021.054085 | \n",
" 16576.192900 | \n",
"
\n",
" \n",
" | MUPS2A | \n",
" 60 | \n",
" 16572.032038 | \n",
" 160 | \n",
" 17371.675441 | \n",
" 17371.675441 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Anchor Limited Pitch Calculated Anchor Limited Time \\\n",
"ACA 90 22811.677902 \n",
"ACIS FP 170 18037.256247 \n",
"MUPS2A 60 16572.032038 \n",
"\n",
" Anchor Offset Pitch Originally Assumed Available Offset Time \\\n",
"ACA 160 18917.180033 \n",
"ACIS FP 60 17021.054085 \n",
"MUPS2A 160 17371.675441 \n",
"\n",
" Final Available Dwell Time \n",
"ACA 17371.675441 \n",
"ACIS FP 16576.192900 \n",
"MUPS2A 17371.675441 "
]
},
"execution_count": 50,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dwell_assumptions = (\n",
" (\n",
" aca_anchor_limited_pitch,\n",
" aca.anchor_limited_time,\n",
" aca_anchor_offset_pitch,\n",
" aca.anchor_offset_time,\n",
" dwell_limits.loc[aca_anchor_offset_pitch],\n",
" ),\n",
" (\n",
" fp_anchor_limited_pitch,\n",
" fp.anchor_limited_time,\n",
" fp_anchor_offset_pitch,\n",
" fp.anchor_offset_time,\n",
" dwell_limits.loc[fp_anchor_offset_pitch],\n",
" ),\n",
" (\n",
" mups2a_anchor_limited_pitch,\n",
" mups2a.anchor_limited_time,\n",
" mups2a_anchor_offset_pitch,\n",
" mups2a.anchor_offset_time,\n",
" dwell_limits.loc[mups2a_anchor_offset_pitch],\n",
" ),\n",
")\n",
"pd.DataFrame(\n",
" dwell_assumptions,\n",
" index=(\"ACA\", \"ACIS FP\", \"MUPS2A\"),\n",
" columns=(\n",
" \"Anchor Limited Pitch\",\n",
" \"Calculated Anchor Limited Time\",\n",
" \"Anchor Offset Pitch\",\n",
" \"Originally Assumed Available Offset Time\",\n",
" \"Final Available Dwell Time\",\n",
" ),\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The newly calculated anchor limited times decreased as a result of the further decreased offset times. The only model that used more offset time than available after running the rest of the models was the ACA model (comparing the two righthand columns).\n",
"\n",
"___________________________________________________________________________________________\n",
"### Start of Iteration #4"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"60 16576.192900\n",
"90 21186.704458\n",
"160 17371.675441\n",
"170 17706.780277\n",
"dtype: float64"
]
},
"execution_count": 51,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"aca_anchor_offset_time = dwell_limits.loc[aca_anchor_offset_pitch]\n",
"aca.find_anchor_condition(\n",
" aca_anchor_offset_pitch, \n",
" aca_anchor_limited_pitch, \n",
" aca_anchor_offset_time, \n",
" aca_limit\n",
")\n",
"aca.results = aca.generate_balanced_pitch_dwells(\n",
" aca.datesecs,\n",
" aca_anchor_limited_pitch,\n",
" aca.anchor_limited_time,\n",
" aca_anchor_offset_pitch,\n",
" aca_anchor_offset_time,\n",
" aca.limit,\n",
" pitch_range,\n",
")\n",
"aca_limited_results = get_limited_results(aca.results, aca_anchor_offset_pitch)\n",
"aca_offset_results = get_offset_results(aca.results, aca_anchor_limited_pitch)\n",
"\n",
"dwell_limits.loc[aca_limited_results[\"pitch2\"]] = np.minimum(\n",
" aca_limited_results[\"t_dwell2\"], dwell_limits.loc[aca_limited_results[\"pitch2\"]]\n",
")\n",
"dwell_limits"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"60 16576.192900\n",
"90 21186.704458\n",
"160 17371.675441\n",
"170 17675.429537\n",
"dtype: float64"
]
},
"execution_count": 52,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fp_anchor_offset_time = dwell_limits.loc[fp_anchor_offset_pitch]\n",
"fp.find_anchor_condition(\n",
" fp_anchor_offset_pitch, \n",
" fp_anchor_limited_pitch, \n",
" fp_anchor_offset_time, \n",
" fp_limit\n",
")\n",
"fp.results = fp.generate_balanced_pitch_dwells(\n",
" fp.datesecs,\n",
" fp_anchor_limited_pitch,\n",
" fp.anchor_limited_time,\n",
" fp_anchor_offset_pitch,\n",
" fp_anchor_offset_time,\n",
" fp.limit,\n",
" pitch_range,\n",
")\n",
"fp_limited_results = get_limited_results(fp.results, fp_anchor_offset_pitch)\n",
"fp_offset_results = get_offset_results(fp.results, fp_anchor_limited_pitch)\n",
"\n",
"dwell_limits.loc[fp_limited_results[\"pitch2\"]] = np.minimum(\n",
" fp_limited_results[\"t_dwell2\"], dwell_limits.loc[fp_limited_results[\"pitch2\"]]\n",
")\n",
"dwell_limits"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"60 16576.192900\n",
"90 21186.704458\n",
"160 17371.675441\n",
"170 17675.429537\n",
"dtype: float64"
]
},
"execution_count": 53,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"mups2a_anchor_offset_time = dwell_limits.loc[mups2a_anchor_offset_pitch]\n",
"mups2a.find_anchor_condition(\n",
" mups2a_anchor_offset_pitch,\n",
" mups2a_anchor_limited_pitch,\n",
" mups2a_anchor_offset_time,\n",
" mups2a_limit,\n",
")\n",
"mups2a.results = mups2a.generate_balanced_pitch_dwells(\n",
" mups2a.datesecs,\n",
" mups2a_anchor_limited_pitch,\n",
" mups2a.anchor_limited_time,\n",
" mups2a_anchor_offset_pitch,\n",
" mups2a_anchor_offset_time,\n",
" mups2a.limit,\n",
" pitch_range,\n",
")\n",
"mups2a_limited_results = get_limited_results(mups2a.results, \n",
" mups2a_anchor_offset_pitch)\n",
"mups2a_offset_results = get_offset_results(mups2a.results, \n",
" mups2a_anchor_limited_pitch)\n",
"\n",
"dwell_limits.loc[mups2a_limited_results[\"pitch2\"]] = np.minimum(\n",
" mups2a_limited_results[\"t_dwell2\"],\n",
" dwell_limits.loc[mups2a_limited_results[\"pitch2\"]],\n",
")\n",
"dwell_limits"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Anchor Limited Pitch | \n",
" Calculated Anchor Limited Time | \n",
" Anchor Offset Pitch | \n",
" Originally Assumed Available Offset Time | \n",
" Final Available Dwell Time | \n",
"
\n",
" \n",
" \n",
" \n",
" | ACA | \n",
" 90 | \n",
" 21209.654645 | \n",
" 160 | \n",
" 17371.675441 | \n",
" 17371.675441 | \n",
"
\n",
" \n",
" | ACIS FP | \n",
" 170 | \n",
" 17954.144825 | \n",
" 60 | \n",
" 16576.192900 | \n",
" 16576.192900 | \n",
"
\n",
" \n",
" | MUPS2A | \n",
" 60 | \n",
" 16572.032038 | \n",
" 160 | \n",
" 17371.675441 | \n",
" 17371.675441 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Anchor Limited Pitch Calculated Anchor Limited Time \\\n",
"ACA 90 21209.654645 \n",
"ACIS FP 170 17954.144825 \n",
"MUPS2A 60 16572.032038 \n",
"\n",
" Anchor Offset Pitch Originally Assumed Available Offset Time \\\n",
"ACA 160 17371.675441 \n",
"ACIS FP 60 16576.192900 \n",
"MUPS2A 160 17371.675441 \n",
"\n",
" Final Available Dwell Time \n",
"ACA 17371.675441 \n",
"ACIS FP 16576.192900 \n",
"MUPS2A 17371.675441 "
]
},
"execution_count": 54,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dwell_assumptions = (\n",
" (\n",
" aca_anchor_limited_pitch,\n",
" aca.anchor_limited_time,\n",
" aca_anchor_offset_pitch,\n",
" aca.anchor_offset_time,\n",
" dwell_limits.loc[aca_anchor_offset_pitch],\n",
" ),\n",
" (\n",
" fp_anchor_limited_pitch,\n",
" fp.anchor_limited_time,\n",
" fp_anchor_offset_pitch,\n",
" fp.anchor_offset_time,\n",
" dwell_limits.loc[fp_anchor_offset_pitch],\n",
" ),\n",
" (\n",
" mups2a_anchor_limited_pitch,\n",
" mups2a.anchor_limited_time,\n",
" mups2a_anchor_offset_pitch,\n",
" mups2a.anchor_offset_time,\n",
" dwell_limits.loc[mups2a_anchor_offset_pitch],\n",
" ),\n",
")\n",
"pd.DataFrame(\n",
" dwell_assumptions,\n",
" index=(\"ACA\", \"ACIS FP\", \"MUPS2A\"),\n",
" columns=(\n",
" \"Anchor Limited Pitch\",\n",
" \"Calculated Anchor Limited Time\",\n",
" \"Anchor Offset Pitch\",\n",
" \"Originally Assumed Available Offset Time\",\n",
" \"Final Available Dwell Time\",\n",
" ),\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Given the originally assumed offset times at the start of this iteration were not reduced, we now have a \"balanced\" dwell configuration and can now fill out the result of the pitch range.\n",
"\n",
"___________________________________________________________________________________________\n",
"### Final Iteration\n",
"\n",
"In order to calculate the dwell times for the full pitch range, all we need to do is redefine the pitch range and re-run the same methods we used earlier. The only caveate is that the original pitch values used above need to be included in this final pitch range."
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {},
"outputs": [],
"source": [
"pitch_range = np.arange(45, 181, 5)"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {},
"outputs": [],
"source": [
"aca_anchor_offset_time = dwell_limits.loc[aca_anchor_offset_pitch]\n",
"aca.find_anchor_condition(\n",
" aca_anchor_offset_pitch, \n",
" aca_anchor_limited_pitch, \n",
" aca_anchor_offset_time, \n",
" aca_limit\n",
")\n",
"aca.results = aca.generate_balanced_pitch_dwells(\n",
" aca.datesecs,\n",
" aca_anchor_limited_pitch,\n",
" aca.anchor_limited_time,\n",
" aca_anchor_offset_pitch,\n",
" aca_anchor_offset_time,\n",
" aca.limit,\n",
" pitch_range,\n",
")\n",
"aca_limited_results = get_limited_results(aca.results, aca_anchor_offset_pitch)\n",
"aca_offset_results = get_offset_results(aca.results, aca_anchor_limited_pitch)"
]
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {},
"outputs": [],
"source": [
"fp_anchor_offset_time = dwell_limits.loc[fp_anchor_offset_pitch]\n",
"fp.find_anchor_condition(\n",
" fp_anchor_offset_pitch, \n",
" fp_anchor_limited_pitch, \n",
" fp_anchor_offset_time, \n",
" fp_limit\n",
")\n",
"fp.results = fp.generate_balanced_pitch_dwells(\n",
" fp.datesecs,\n",
" fp_anchor_limited_pitch,\n",
" fp.anchor_limited_time,\n",
" fp_anchor_offset_pitch,\n",
" fp_anchor_offset_time,\n",
" fp.limit,\n",
" pitch_range,\n",
")\n",
"fp_limited_results = get_limited_results(fp.results, fp_anchor_offset_pitch)\n",
"fp_offset_results = get_offset_results(fp.results, fp_anchor_limited_pitch)"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {},
"outputs": [],
"source": [
"mups2a_anchor_offset_time = dwell_limits.loc[mups2a_anchor_offset_pitch]\n",
"mups2a.find_anchor_condition(\n",
" mups2a_anchor_offset_pitch,\n",
" mups2a_anchor_limited_pitch,\n",
" mups2a_anchor_offset_time,\n",
" mups2a_limit,\n",
")\n",
"mups2a.results = mups2a.generate_balanced_pitch_dwells(\n",
" mups2a.datesecs,\n",
" mups2a_anchor_limited_pitch,\n",
" mups2a.anchor_limited_time,\n",
" mups2a_anchor_offset_pitch,\n",
" mups2a_anchor_offset_time,\n",
" mups2a.limit,\n",
" pitch_range,\n",
")\n",
"mups2a_limited_results = get_limited_results(mups2a.results, mups2a_anchor_offset_pitch)\n",
"mups2a_offset_results = get_offset_results(mups2a.results, mups2a_anchor_limited_pitch)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now that we have the data we need, organize the limited data and the offset data into some separate datastructures. This will make it easier to use this data."
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {},
"outputs": [],
"source": [
"final_limited_results = pd.DataFrame(\n",
" [], index=pitch_range, columns=(\"AACCCDPT\", \"FPTEMP_11\", \"PM2THV1T\")\n",
")\n",
"final_limited_results.loc[\n",
" aca_limited_results[\"pitch2\"], \"AACCCDPT\"\n",
"] = aca_limited_results[\"t_dwell2\"]\n",
"final_limited_results.loc[\n",
" fp_limited_results[\"pitch2\"], \"FPTEMP_11\"\n",
"] = fp_limited_results[\"t_dwell2\"]\n",
"final_limited_results.loc[\n",
" mups2a_limited_results[\"pitch2\"], \"PM2THV1T\"\n",
"] = mups2a_limited_results[\"t_dwell2\"]\n",
"\n",
"final_offset_results = pd.DataFrame(\n",
" [], index=pitch_range, columns=(\"AACCCDPT\", \"FPTEMP_11\", \"PM2THV1T\")\n",
")\n",
"final_offset_results.loc[aca_offset_results[\"pitch2\"], \"AACCCDPT\"] = \\\n",
" aca_offset_results[\"t_dwell2\"]\n",
"final_offset_results.loc[fp_offset_results[\"pitch2\"], \"FPTEMP_11\"] = \\\n",
" fp_offset_results[ \"t_dwell2\"]\n",
"final_offset_results.loc[\n",
" mups2a_offset_results[\"pitch2\"], \"PM2THV1T\"\n",
"] = mups2a_offset_results[\"t_dwell2\"]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We'll want to revisit the anchor values soon as well."
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {},
"outputs": [],
"source": [
"anchor_dwell_data = (\n",
" (\n",
" aca_anchor_limited_pitch,\n",
" aca.anchor_limited_time,\n",
" aca_anchor_offset_pitch,\n",
" aca.anchor_offset_time,\n",
" dwell_limits.loc[aca_anchor_offset_pitch],\n",
" ),\n",
" (\n",
" fp_anchor_limited_pitch,\n",
" fp.anchor_limited_time,\n",
" fp_anchor_offset_pitch,\n",
" fp.anchor_offset_time,\n",
" dwell_limits.loc[fp_anchor_offset_pitch],\n",
" ),\n",
" (\n",
" mups2a_anchor_limited_pitch,\n",
" mups2a.anchor_limited_time,\n",
" mups2a_anchor_offset_pitch,\n",
" mups2a.anchor_offset_time,\n",
" dwell_limits.loc[mups2a_anchor_offset_pitch],\n",
" ),\n",
")\n",
"anchor_dwell_data = pd.DataFrame(\n",
" anchor_dwell_data,\n",
" index=(\"ACA\", \"ACIS FP\", \"MUPS2A\"),\n",
" columns=(\n",
" \"Anchor Limited Pitch\",\n",
" \"Calculated Anchor Limited Time\",\n",
" \"Anchor Offset Pitch\",\n",
" \"Originally Assumed Available Offset Time\",\n",
" \"Final Available Dwell Time\",\n",
" ),\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Visualize the final maximum dwell data, and show which models are the lmiiting factors."
]
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"text/html": [
"Final Maximum Dwell Results
"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
" | ACA | ACIS FP | MUPS2A | Max Dwell | Limiting Model |
\n",
" \n",
" | 45 | \n",
" nan | \n",
" nan | \n",
" 18817 | \n",
" 18817 | \n",
" PM2THV1T | \n",
"
\n",
" \n",
" | 50 | \n",
" nan | \n",
" nan | \n",
" 18003 | \n",
" 18003 | \n",
" PM2THV1T | \n",
"
\n",
" \n",
" | 55 | \n",
" nan | \n",
" nan | \n",
" 17296 | \n",
" 17296 | \n",
" PM2THV1T | \n",
"
\n",
" \n",
" | 60 | \n",
" 162005 | \n",
" nan | \n",
" 16576 | \n",
" 16576 | \n",
" PM2THV1T | \n",
"
\n",
" \n",
" | 65 | \n",
" 72664 | \n",
" nan | \n",
" 17898 | \n",
" 17898 | \n",
" PM2THV1T | \n",
"
\n",
" \n",
" | 70 | \n",
" 46872 | \n",
" nan | \n",
" 19467 | \n",
" 19467 | \n",
" PM2THV1T | \n",
"
\n",
" \n",
" | 75 | \n",
" 34287 | \n",
" nan | \n",
" 21583 | \n",
" 21583 | \n",
" PM2THV1T | \n",
"
\n",
" \n",
" | 80 | \n",
" 28469 | \n",
" nan | \n",
" 25368 | \n",
" 25368 | \n",
" PM2THV1T | \n",
"
\n",
" \n",
" | 85 | \n",
" 24286 | \n",
" nan | \n",
" 31536 | \n",
" 24286 | \n",
" AACCCDPT | \n",
"
\n",
" \n",
" | 90 | \n",
" 21187 | \n",
" nan | \n",
" 42814 | \n",
" 21187 | \n",
" AACCCDPT | \n",
"
\n",
" \n",
" | 95 | \n",
" 21938 | \n",
" nan | \n",
" 46963 | \n",
" 21938 | \n",
" AACCCDPT | \n",
"
\n",
" \n",
" | 100 | \n",
" 22726 | \n",
" nan | \n",
" 51775 | \n",
" 22726 | \n",
" AACCCDPT | \n",
"
\n",
" \n",
" | 105 | \n",
" 23546 | \n",
" nan | \n",
" nan | \n",
" 23546 | \n",
" AACCCDPT | \n",
"
\n",
" \n",
" | 110 | \n",
" 24472 | \n",
" nan | \n",
" nan | \n",
" 24472 | \n",
" AACCCDPT | \n",
"
\n",
" \n",
" | 115 | \n",
" 26473 | \n",
" nan | \n",
" nan | \n",
" 26473 | \n",
" AACCCDPT | \n",
"
\n",
" \n",
" | 120 | \n",
" 28797 | \n",
" nan | \n",
" nan | \n",
" 28797 | \n",
" AACCCDPT | \n",
"
\n",
" \n",
" | 125 | \n",
" 33381 | \n",
" 45088 | \n",
" nan | \n",
" 33381 | \n",
" AACCCDPT | \n",
"
\n",
" \n",
" | 130 | \n",
" 39748 | \n",
" 31943 | \n",
" nan | \n",
" 31943 | \n",
" FPTEMP_11 | \n",
"
\n",
" \n",
" | 135 | \n",
" 73617 | \n",
" 27741 | \n",
" nan | \n",
" 27741 | \n",
" FPTEMP_11 | \n",
"
\n",
" \n",
" | 140 | \n",
" nan | \n",
" 24525 | \n",
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"
\n",
" \n",
" | 145 | \n",
" nan | \n",
" 22974 | \n",
" nan | \n",
" 22974 | \n",
" FPTEMP_11 | \n",
"
\n",
" \n",
" | 150 | \n",
" nan | \n",
" 21737 | \n",
" nan | \n",
" 21737 | \n",
" FPTEMP_11 | \n",
"
\n",
" \n",
" | 155 | \n",
" nan | \n",
" 19334 | \n",
" nan | \n",
" 19334 | \n",
" FPTEMP_11 | \n",
"
\n",
" \n",
" | 160 | \n",
" nan | \n",
" 17458 | \n",
" nan | \n",
" 17458 | \n",
" FPTEMP_11 | \n",
"
\n",
" \n",
" | 165 | \n",
" nan | \n",
" 17562 | \n",
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" 17562 | \n",
" FPTEMP_11 | \n",
"
\n",
" \n",
" | 170 | \n",
" nan | \n",
" 17675 | \n",
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" 17675 | \n",
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"
\n",
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" 15439 | \n",
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\n",
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"
\n",
"
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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
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],
"source": [
"def color_nan_gray(val):\n",
" color = \"rgba(175, 175, 175)\" if np.isnan(val) else \"\"\n",
" return \"color: %s\" % color\n",
"\n",
"\n",
"def highlight_cells(x):\n",
" df = pd.DataFrame(\"\", index=x.index, columns=x.columns)\n",
" cell_style = \"color: black; font-weight: bold; border-color: black; border-style: solid; border-width: 1px; border-collapse:collapse\"\n",
" df.loc[aca_anchor_limited_pitch, \"ACA\"] = cell_style\n",
" df.loc[fp_anchor_limited_pitch, \"ACIS FP\"] = cell_style\n",
" df.loc[mups2a_anchor_limited_pitch, \"MUPS2A\"] = cell_style\n",
" return df\n",
"\n",
"\n",
"final_formatted_limited_results = pd.concat(\n",
" (\n",
" final_limited_results,\n",
" final_limited_results.min(axis=1),\n",
" final_limited_results.astype(np.float).idxmin(axis=1),\n",
" ),\n",
" axis=1,\n",
")\n",
"final_formatted_limited_results.columns = (\n",
" \"ACA\",\n",
" \"ACIS FP\",\n",
" \"MUPS2A\",\n",
" \"Max Dwell\",\n",
" \"Limiting Model\",\n",
")\n",
"\n",
"final_formatted_limited_results = (\n",
" final_formatted_limited_results.style.applymap(\n",
" color_nan_gray, subset=[\"ACA\", \"ACIS FP\", \"MUPS2A\", \"Max Dwell\"]\n",
" )\n",
" .apply(highlight_cells, axis=None)\n",
" .set_precision(0)\n",
" .bar(\n",
" subset=[\"ACA\", \"ACIS FP\", \"MUPS2A\", \"Max Dwell\"],\n",
" color=\"rgba(256, 0, 0, 0.25)\",\n",
" vmin=0,\n",
" vmax=100000,\n",
" )\n",
")\n",
"display(\n",
" HTML(\n",
" 'Final Maximum Dwell Results
'\n",
" )\n",
")\n",
"display(final_formatted_limited_results)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The plot above shows the following information\n",
" - Maximum dwell times are shown in seconds\n",
" - Pink bars show available maximum dwell time for each individual model as well as the overall maximum dwell time, for each limited pitch\n",
" - The limiting model is shown in the last column\n",
" - The maximum dwell time at the anchor limited pitch for each model is highlighted in bold with black borders\n",
" - Durations for pitch values which do not heat a model are represented by NaN's\n",
" \n",
"You'll notice that the max dwell times for each model, at their anchor limited pitch values, are slighty different compared to the original \"anchor\" values used to generate these results (repeated in the next table). This is expected and commonly observed. The anchor values shown below serve as the seed to produce the results shown above. Remember the dwell balancing algorithm uses the following steps:\n",
" 1. Anchor offset time + pitch is used to find the __anchor limited time__ at the anchor limited pitch in `find_anchor_condition` (first iteration uses a guess).\n",
" 2. The __anchor limited time + pitch__ is used to generate the __general offset dwell curve__.\n",
" 3. The newly calculated __general offset dwell curve__ is used to supply the offset dwell time at the anchor offset pitch to generate the __general max dwell limit curve__.\n",
"\n",
"The general dwell curves are both calculated after the anchor values are known, and although the general limited dwell curve should ideally contain the exact anchor limited dwell value, due to how the dwell states are ordered they can shift slightly.\n",
" \n",
"The current algorithm conveniently separates the calculation of both anchor values from the calculation of the final dwell curves, which matches the basic dwell balancing algorithm as it was originally presented, and helps separate the concepts, however we only need to start with an initial offset dwell guess and then directly calculate the general dwell curves. This will be considered as an enhancement in the future, however this step takes very little time and does not negatively impact the results so it will stay for now."
]
},
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"cell_type": "code",
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"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Anchor Limited Pitch | \n",
" Calculated Anchor Limited Time | \n",
" Anchor Offset Pitch | \n",
" Originally Assumed Available Offset Time | \n",
" Final Available Dwell Time | \n",
"
\n",
" \n",
" \n",
" \n",
" | ACA | \n",
" 90 | \n",
" 21209.654645 | \n",
" 160 | \n",
" 17371.675441 | \n",
" 17371.675441 | \n",
"
\n",
" \n",
" | ACIS FP | \n",
" 170 | \n",
" 17954.144825 | \n",
" 60 | \n",
" 16576.192900 | \n",
" 16576.192900 | \n",
"
\n",
" \n",
" | MUPS2A | \n",
" 60 | \n",
" 16572.032038 | \n",
" 160 | \n",
" 17371.675441 | \n",
" 17371.675441 | \n",
"
\n",
" \n",
"
\n",
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"
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" Anchor Limited Pitch Calculated Anchor Limited Time \\\n",
"ACA 90 21209.654645 \n",
"ACIS FP 170 17954.144825 \n",
"MUPS2A 60 16572.032038 \n",
"\n",
" Anchor Offset Pitch Originally Assumed Available Offset Time \\\n",
"ACA 160 17371.675441 \n",
"ACIS FP 60 16576.192900 \n",
"MUPS2A 160 17371.675441 \n",
"\n",
" Final Available Dwell Time \n",
"ACA 17371.675441 \n",
"ACIS FP 16576.192900 \n",
"MUPS2A 17371.675441 "
]
},
"execution_count": 62,
"metadata": {},
"output_type": "execute_result"
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"source": [
"anchor_dwell_data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The plot below represents the dwell limits and associated cooling times for the following conditions:\n",
"\n",
" - Date: 2022:001:00:00:00\n",
" - Roll: 0.0 Degrees\n",
" - ACIS Chips: 4\n",
" - ACA Limit: -6.5 C\n",
" - ACIS FP Limit: -112.0 C\n",
" - MUPS 2A Limit: 210.0F\n",
"\n",
"Please note the following features:\n",
"\n",
"- The limited data are shown using solid lines and the associated offset data are shown using dashed lines.\n",
"- The composite maximum dwell times can be determined by finding the minimum dwell limit value for each pitch.\n",
"- Each model has offset time (dashed line) within/underneath the available limited time (solid line) for at least one pitch value.\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 63,
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"plot_data = generate_limited_offset_results_plot_data(\n",
" final_limited_results, final_offset_results\n",
")\n",
"plot_object = generate_limited_offset_results_timbre_plot(\n",
" plot_data, \"Final Timbre Dwell Durations\", y_max=200000\n",
")\n",
"pio.show(plot_object)"
]
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"___________________________________________________________________________________________\n",
"### Automated calculation using built-in method\n",
"\n",
"The data required to produce a composite maximum dwell limit with associated offset times can be produced using the built-in method rather than stepwise as above. Simply defining a `timbre_object` as an instance of the `Composite` class with the required input information will yield this information.\n",
"\n",
" - The `max_dwell` is the initial guess for the available anchor offset time, and does not cap the final required offset time curve.\n",
" - The pitch step defines the resolution of the final dwell curves. This pitch step must result in a set of pitch values that includes the anchor points (currently 45, 60, 90, 160, 170, 175) so either 1 or 5 degrees is usually chosen.\n",
" - As indicated before, the results cacluated are only valid for the input conditions supplied. If one wants to estimate the range of available dwell times for different conditions, each condition would need to be run separately."
]
},
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"text": [
"------------------------------------------------------------------------------------------------------------------------\n",
"Map Dwell Capability\n",
"------------------------------------------------------------------------------------------------------------------------\n",
"\n",
"----------------------------------------\n",
"Start of Iteration:\n",
"\n",
"1pdeaat is not limited at a pitch of 45 degrees near 2022:001:00:00:00.000, with the following constant conditions:\n",
"{'roll': 0, 'fep_count': 4, 'ccd_count': 4, 'clocking': True, 'vid_board': True, 'sim_z': 100000, 'dh_heater': False}.\n",
"\n",
"Approximate dwell limits calculated by this iteration: \n",
" Pitch Duration\n",
" 45 21311.19\n",
" 60 18495.64\n",
" 90 28856.45\n",
" 160 24596.29\n",
" 170 21221.50\n",
" 175 18785.26\n",
"\n",
"Tail sun time available for cooling is less than originally assumed at the start of this iteration, start new iteration.\n",
"Forward sun time available for cooling is less than originally assumed at the start of this iteration, start new iteration.\n",
"\n",
"----------------------------------------\n",
"Start of Iteration:\n",
"\n",
"1pdeaat is not limited at a pitch of 45 degrees near 2022:001:00:00:00.000, with the following constant conditions:\n",
"{'roll': 0, 'fep_count': 4, 'ccd_count': 4, 'clocking': True, 'vid_board': True, 'sim_z': 100000, 'dh_heater': False}.\n",
"\n",
"Approximate dwell limits calculated by this iteration: \n",
" Pitch Duration\n",
" 45 19357.85\n",
" 60 17022.98\n",
" 90 22889.28\n",
" 160 18922.21\n",
" 170 19375.23\n",
" 175 17048.81\n",
"\n",
"Forward sun time available for cooling is less than originally assumed at the start of this iteration, start new iteration.\n",
"\n",
"----------------------------------------\n",
"Start of Iteration:\n",
"\n",
"1pdeaat is not limited at a pitch of 45 degrees near 2022:001:00:00:00.000, with the following constant conditions:\n",
"{'roll': 0, 'fep_count': 4, 'ccd_count': 4, 'clocking': True, 'vid_board': True, 'sim_z': 100000, 'dh_heater': False}.\n",
"\n",
"Approximate dwell limits calculated by this iteration: \n",
" Pitch Duration\n",
" 45 18815.60\n",
" 60 16574.56\n",
" 90 21569.45\n",
" 160 17752.84\n",
" 170 18101.96\n",
" 175 15819.62\n",
"\n",
"Forward sun time available for cooling is less than originally assumed at the start of this iteration, start new iteration.\n",
"\n",
"----------------------------------------\n",
"Start of Iteration:\n",
"\n",
"1pdeaat is not limited at a pitch of 45 degrees near 2022:001:00:00:00.000, with the following constant conditions:\n",
"{'roll': 0, 'fep_count': 4, 'ccd_count': 4, 'clocking': True, 'vid_board': True, 'sim_z': 100000, 'dh_heater': False}.\n",
"\n",
"Approximate dwell limits calculated by this iteration: \n",
" Pitch Duration\n",
" 45 18815.60\n",
" 60 16574.56\n",
" 90 21261.60\n",
" 160 17358.57\n",
" 170 17691.17\n",
" 175 15420.21\n",
"\n",
"Forward sun time available for cooling is less than originally assumed at the start of this iteration, start new iteration.\n",
"\n",
"----------------------------------------\n",
"Start of Iteration:\n",
"\n",
"1pdeaat is not limited at a pitch of 45 degrees near 2022:001:00:00:00.000, with the following constant conditions:\n",
"{'roll': 0, 'fep_count': 4, 'ccd_count': 4, 'clocking': True, 'vid_board': True, 'sim_z': 100000, 'dh_heater': False}.\n",
"\n",
"Approximate dwell limits calculated by this iteration: \n",
" Pitch Duration\n",
" 45 18815.60\n",
" 60 16574.56\n",
" 90 21261.60\n",
" 160 17358.57\n",
" 170 17691.17\n",
" 175 15420.21\n",
"\n",
"------------------------------------------------------------------------------------------------------------------------\n",
"Fill In Dwell Capability\n",
"------------------------------------------------------------------------------------------------------------------------\n",
"\n",
"1pdeaat is not limited at a pitch of 45 degrees near 2022:001:00:00:00.000, with the following constant conditions:\n",
"{'roll': 0, 'fep_count': 4, 'ccd_count': 4, 'clocking': True, 'vid_board': True, 'sim_z': 100000, 'dh_heater': False}.\n",
"\n",
"------------------------------------------------------------------------------------------------------------------------\n",
"Final Dwell Limits: \n",
" Pitch Duration\n",
" 45 18815.60\n",
" 50 18008.73\n",
" 55 17254.66\n",
" 60 16574.56\n",
" 65 17901.64\n",
" 70 19494.26\n",
" 75 21566.47\n",
" 80 23448.97\n",
" 85 24349.92\n",
" 90 21261.60\n",
" 95 21967.88\n",
" 100 22777.56\n",
" 105 23547.11\n",
" 110 24499.91\n",
" 115 26535.18\n",
" 120 28879.91\n",
" 125 32368.38\n",
" 130 24381.99\n",
" 135 27630.23\n",
" 140 24655.43\n",
" 145 22971.22\n",
" 150 21764.88\n",
" 155 19116.02\n",
" 160 17358.57\n",
" 165 17540.71\n",
" 170 17691.17\n",
" 175 15420.21\n",
" 180 13767.29\n",
"\n",
"\n"
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"source": [
"limits = {\n",
" \"fptemp_11\": -112.0,\n",
" \"1dpamzt\": 37.5,\n",
" \"1deamzt\": 37.5,\n",
" \"1pdeaat\": 52.5,\n",
" \"aacccdpt\": -6.5,\n",
" \"4rt700t\": f_to_c(100.0),\n",
" \"pftank2t\": f_to_c(110.0),\n",
" \"pm1thv2t\": f_to_c(210.0),\n",
" \"pm2thv1t\": f_to_c(210.0),\n",
" \"pline03t\": f_to_c(50.0),\n",
" \"pline04t\": f_to_c(50.0),\n",
"}\n",
"\n",
"date = \"2022:001:00:00:00\"\n",
"chips = 4\n",
"roll = 0\n",
"\n",
"timbre_object = Composite(date, chips, roll, limits, max_dwell=200000, pitch_step=5)"
]
},
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"The plot below shows the maximum dwell data calculated for each model as well as the composite limitations:\n",
" - Maximum dwells are shown in black or red.\n",
" - Cases which serve as limiting factors are shown in red.\n",
" - The model that serves as the limiting factor for each pitch is shown in the last column.\n",
" - Anchor values are shown in bold with black borders.\n",
" - Cases where a limit is not achieved is shown with a gray \"nan\".\n",
" - Red bars provide visual cues on how long each case can dwell at each pitch.\n",
" \n",
"NOTE: Anchor limited values shown below do not need to be a limiting factor, what is important is that sufficient offset time exists to support these dwell times. These data are shown in the next plot.\n",
" "
]
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\n",
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"
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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
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"source": [
"final_formatted_limited_results = visualize_final_dwell_limits(timbre_object)\n",
"display(\n",
" HTML(\n",
" 'Final Maximum Dwell Times
'\n",
" )\n",
")\n",
"display(final_formatted_limited_results)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The plot below shos the offset dwell data associated with the limited data shown above:\n",
" - Minimum dwells are shown in black or blue.\n",
" - Cases where the offset time exists within all limited dwell times are shown in blue.\n",
" - Anchor values are shown in bold blue with black borders.\n",
" - Cases where a limit is not achieved is shown with a gray \"nan\".\n",
" - Blue bars provide visual cues on how long each case needs to dwell to offset the limited dwells shown above."
]
},
{
"cell_type": "code",
"execution_count": 66,
"metadata": {},
"outputs": [
{
"data": {
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"Final Offset Dwell Times
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""
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"text/plain": [
""
]
},
"execution_count": 66,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"final_formatted_limited_results = visualize_final_dwell_limits(timbre_object)\n",
"display(\n",
" HTML(\n",
" 'Final Offset Dwell Times
'\n",
" )\n",
")\n",
"visualize_final_dwell_offsets(timbre_object, max_plot_limit=100000)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The plot below shows both the limited and the associated offset dwell data for each model. Limited data are shown in solid lines, offset data are shown using dashed lines."
]
},
{
"cell_type": "code",
"execution_count": 67,
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"plot_data = generate_limited_offset_results_plot_data(\n",
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"The plot above presents an interesting case worth exploring. The offset time for the DPA seems to increase to a very high value at approximately 55 degrees, where one would expect it to remain very low, as 55 degrees is a known cooling region for the DPA. We can recreate this case and use one of the plots used earlier to see what the temperature profile looks like. Please note that we are using `n_dwells=30` as this is what is currently used by default (`n_dwells=10` was used earlier to make visualizing the process easier).\n",
"\n",
"As can be seen in the plot below, the 50 degree dwell easily reaches a steady state cold value and remains there longer than it needs to in order to offset the limited dwell at 170 degrees pitch. Additionally the model heats relatively fast at a dwell of 170 degrees pitch (approximately 27 Ks). It seems as if this case reveals a weakness in the dwell estimation algorithm. When the available heating dwell time becomes decoupled from the required offset time, due to the offset dwell reaching a steady state cooling temperature, the required offset time to balance a given limited dwell is not necessarily accurate. These cases are relatively rare, are only likely to be observed using the ACIS models, and can be identified by observing such deviations from an existing trend. These existing trends will be more accurate in cases where an offset steady state value is not reached, and can serve to establish a baseline from which one can observe such deviations. This can be tested by changing the offset pitch values to other pitch values, such as 80 degrees, in the code below and observing the output."
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"source": [
"date = \"2022:001:00:00:00\"\n",
"limited_pitch = 170\n",
"offset_pitch = 50\n",
"\n",
"dwell1_state = {\"pitch\": offset_pitch}\n",
"dwell2_state = {\"pitch\": limited_pitch}\n",
"t_dwell1 = timbre_object.offset_results.loc[offset_pitch, \"1dpamzt\"]\n",
"t_dwell2 = timbre_object.limited_results.loc[limited_pitch, \"1dpamzt\"]\n",
"\n",
"msid = \"1dpamzt\"\n",
"limit = 37.5\n",
"chips = 4\n",
"\n",
"model_spec, dpa_md5 = get_local_model(\"../timbre/tests/data/dpa_spec.json\")\n",
"init = {\n",
" \"1dpamzt\": limit,\n",
" \"dpa0\": limit,\n",
" \"eclipse\": False,\n",
" \"roll\": 0.0,\n",
" \"fep_count\": chips,\n",
" \"ccd_count\": chips,\n",
" \"clocking\": True,\n",
" \"vid_board\": True,\n",
" \"sim_z\": 100000,\n",
" \"dpa_power\": 0.0,\n",
"}\n",
"limit_type = \"max\"\n",
"duration = 2592000\n",
"t_backoff = 1725000\n",
"n_dwells = 30\n",
"\n",
"datesecs = CxoTime(date).secs\n",
"\n",
"# This ensures three \"cycles\" of the two dwell states, within the portion of \n",
"# the schedule used for evaluation\n",
"# Subtract 1000 sec for extra padding.\n",
"max_dwell = (t_backoff - t_dwell1) / 3 - 1000\n",
"\n",
"model_results, state_times, state_keys = calc_binary_schedule(\n",
" datesecs,\n",
" dwell1_state,\n",
" dwell2_state,\n",
" t_dwell1,\n",
" t_dwell2,\n",
" msid,\n",
" model_spec,\n",
" init,\n",
" duration=duration,\n",
" t_backoff=t_backoff,\n",
")\n",
"\n",
"tstart = model_results[msid].times[0]\n",
"tstop = model_results[msid].times[-1]\n",
"state_data = {\"state_times\": state_times, \"state_keys\": state_keys}\n",
"plot_data = format_plot_data(\n",
" model_results[msid], limit, state_data, dwell1_state, dwell2_state\n",
")\n",
"shapes = format_shapes(state_data)\n",
"shapes.extend(gen_unused_range(tstart, tstop))\n",
"annotations = gen_range_annotations(tstart, tstop, limit + 1, limit + 1 + 0.01)\n",
"annotations.extend(\n",
" gen_shading_annotation(\n",
" \"2022:009:12:00:00\",\n",
" 30,\n",
" f\"Pitch: {dwell1_state['pitch']}\",\n",
" f\"Pitch: {dwell2_state['pitch']}\",\n",
" )\n",
")\n",
"plot_dict = generate_converged_solution_plot_dict(\n",
" plot_data, shapes, annotations, tstart, tstop\n",
")\n",
"pio.show(plot_dict)"
]
}
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