1. ASIM Thermal Mathematical Model Part of WP 30-500 – ASIM Structural and Thermal Analysis. MTR-meeting 13-06-2008

2. ASIM TM4 TERMA | 31 January 2008 side 2 WP 30.500 – Thermal Part at MTR. Aim: -Compile all the, up to date, requirements and inputs. -Understand the thermal conditions of the payload. -Based on the understanding of thermal conditions propose the first approximation of thermal design. -Check this proposed design for the different thermal conditions in order to show the hurdles and limitations -Come with recommendations for the next phase design. -Extract the thermal parameters necessary for the evaluation of the particular designs

3. ASIM TM4 TERMA | 31 January 2008 side 3 ASIM Thermal Mathematical Model – Input compilation Mass budgets:

4. ASIM TM4 TERMA | 31 January 2008 side 4 ASIM Thermal Mathematical Model – Input compilation Power:

5. ASIM TM4 TERMA | 31 January 2008 side 5 ASIM Thermal Mathematical Model – Input compilation Temperature Requirements [RD1] ASIM-TER-MMIA-REQ-003, Rev: 1 draft AASIM MMIA Camera Head Unit Requirements Specification [RD2]ASIM-TER-MMIA-REQ-005, Rev: 1 draft AASIM MMIA DPU Requirement Spec. [RD3]ASIM-TER-MMIA-REQ-004, Rev: 1 draft AASIM MMIA Photometer Requirement Spec. [RD4]ASIM-UV-MXGS-REQ-002, Rev: 1ASIM MXGS DPU Hardware Requirement Specification [RD9]ASIM-UB-MXGS-REQ-001, Rev: 2dAASIM MXGS DFEE Requirements Specification Min. Operational Temperature Max. Operational Temperature - 16 [ºC]+15 [ºC]

6. ASIM TM4 TERMA | 31 January 2008 side 6 ASIM Thermal Mathematical Model – Input compilat. Operational Modes

7. ASIM TM4 TERMA | 31 January 2008 side 7 ASIM Thermal Mathematical Model – Input compilation Transportation Modes

8. ASIM TM4 TERMA | 31 January 2008 side 8 ASIM Thermal Mathematical Model – Analysis Thermal Environment

9. ASIM TM4 TERMA | 31 January 2008 side 9 ASIM Thermal Mathematical Model – Analysis Thermal Environment- Cold Case

10. ASIM TM4 TERMA | 31 January 2008 side 10 ASIM Thermal Mathematical Model – Input compilation Thermal Environment- Hot Case

11. ASIM TM4 TERMA | 31 January 2008 side 11 ASIM Thermal Mathematical Model – Analysis Thermal Environment- Mean Case

12. ASIM TM4 TERMA | 31 January 2008 side 12 ASIM Thermal Mathematical Model – Analysis Thermal Environment- Case β=±37.5º

13. ASIM TM4 TERMA | 31 January 2008 side 13 ASIM Thermal Mathematical Model – Model Build-up Radiator Concept – Proposal #1.

14. ASIM TM4 TERMA | 31 January 2008 side 14 ASIM Thermal Mathematical Model – Model Build-up TMM – 1 -st Approximation.

15. ASIM TM4 TERMA | 31 January 2008 side 15 ASIM Thermal Mathematical Model – Model Build-up TMM – ASIM Part FEM Mesh FEM model of ASIM build up of 2724 nodes and 2465 elements (mainly thin shell linear quadri- lateral elements and 12 beam elements)

16. ASIM TM4 TERMA | 31 January 2008 side 16 ASIM Thermal Mathematical Model – Model Build-up. Internal Radiation Enclosure Internal Radiation enclosure comprising DPU, PDU, MXGS housing & collimator as well as the part of the one of the LIMB MMIAs surrounded by the radiators and MLI.

17. ASIM TM4 TERMA | 31 January 2008 side 17 ASIM Thermal Mathematical Model – Model Build-up Therm.- Boundary Conditions and - Couplings, Radiation and Orbit Modeling.

18. ASIM TM4 TERMA | 31 January 2008 side 18 ASIM Thermal Mathematical Model – Model Build-up Material and Physical Properties

19. ASIM TM4 TERMA | 31 January 2008 side 19 ASIM Thermal Mathematical Model – Run and Run Control View Factor Sums

20. ASIM TM4 TERMA | 31 January 2008 side 20 ASIM Thermal Mathematical Model – Run and Run Control Solar View Factor – Cold Case

21. ASIM TM4 TERMA | 31 January 2008 side 21 ASIM Thermal Mathematical Model – Run and Run Control Earth View Factor – Cold Case

22. ASIM TM4 TERMA | 31 January 2008 side 22 ASIM Thermal Mathematical Model – Run and Run Control Different Factors – Cold Case

23. ASIM TM4 TERMA | 31 January 2008 side 23 ASIM Thermal Mathematical Model – Results MXGS- Max. Min. and Avg. Temperatures CaseMXGS Collimator Housing TmaxTmin∆TTavg.TmaxTmin∆TTavg. [ºC] Hot case-Full Power26,318,08,322,221,319,51,820,4 Hot case-MMIA OFF20,812,58,316,713,011,02,012,0 Mean case – FullPower12,9-3,216,14,99,06,72,37,9 Mean case EclipseON8,1-7,015,10,64,21,13,12,7 Mean case –StandBy7,0-9,816,8-1,41,8-1,93,70,0 Mean case MMIA OFF6,3-10,016,3-1,90,8-2,83,6-1,0 Cold case-Full Power-27,8-30,52,7-29,2-25,6-26,61,0-26,1

24. ASIM TM4 TERMA | 31 January 2008 side 24 ASIM Thermal Mathematical Model – Results MXGS- Max. Min. and Avg. Temperatures CaseMXGS Collimator Housing TmaxTmin∆TTavg.TmaxTmin∆TTavg. [ºC] Hot case-Full Power26,318,08,322,221,319,51,820,4 Hot case-MMIA OFF20,812,58,316,713,011,02,012,0 Mean case – FullPower12,9-3,216,14,99,06,72,37,9 Mean case EclipseON8,1-7,015,10,64,21,13,12,7 Mean case –StandBy7,0-9,816,8-1,41,8-1,93,70,0 Mean case MMIA OFF6,3-10,016,3-1,90,8-2,83,6-1,0 Cold case-Full Power-27,8-30,52,7-29,2-25,6-26,61,0-26,1

25. ASIM TM4 TERMA | 31 January 2008 side 25 ASIM Thermal Mathematical Model – Results MMIA#1 – Max. Min. and Avg. Temperatures MMIA#1 DFEE DPU Baffle CaseTmaxTmin∆TTavg.TmaxTmin∆TTavg.TmaxTmin∆TTavg. Mode[ºC] Hot-FullP27,523,5425,53530532,527,528,513,3 Hot-MMIA84,93,16,4512759,523-6298,5 MeanFullP20,5128,516,32918,5 23,843,5-1053,516,8 Mean-Eclips102,57,56,25147710,541-145513,5 Mean-StandB4-61010-3133,539,8-1554,812,4 Mean-MMIA2-8,410,4-3,25,7-5,611,30,0538,5-1553,711,7 Cold-Full-22 0,4-22-16,5-170,3-16,7-57-679,8-62

26. ASIM TM4 TERMA | 31 January 2008 side 26 ASIM Thermal Mathematical Model – Model Build-up MMIA#2 – Max. Min. and Avg. Temperatures MMIA#2 DFEE DPU Baffle Case Tm ax Tmi n∆TTavg. Tm ax Tmi n∆TTavg. Tm ax Tmi n∆TTavg. Mode[ºC] Hot-FullP32265,829,134259,529,33873122,7 Hot-MMIA10557,51339,67,8363,53319,8 MeanFullP29141521,53214182341-115215 Mean-Eclips143,5108,55153129,239-135213 Mean-StandB5,5-8 13, 5-1,312-618337-155211 Mean-MMIA5-1015-2,57-1219-2,538-155311,3 Cold-Full-26-270,4-26-24 0,2-23,8-59-612,2-60

27. ASIM TM4 TERMA | 31 January 2008 side 27 ASIM Thermal Mathematical Model – Results MMIA#3 – Max. Min. and Avg. Temperatures MMIA#3 DFEE DPU Baffle CaseTmaxTmin∆TTavg.TmaxTmin∆TTavg.TmaxTmin∆TTavg. Mode[ºC] Hot-FullP28,226,91,327,625,323,91,424,636,22214,229,1 Hot-MMIA119,91,110,511,59,91,610,729141521,5 MeanFullP25,813,81219,822,51111,516,820,81,81911,3 Mean-Eclips12,32,210,17,2514,8212,88,415,8-3,2196,3 Mean-StandB6,6-3,910,51,358,1-3,9122,112,7-7,720,42,5 Mean-MMIA7-4,811,81,18,1-4,712,81,712,2-7,419,62,4 Cold-Full-21-231,3-22-23,5-240,8-23,9-11-2412,9-18

28. ASIM TM4 TERMA | 31 January 2008 side 28 ASIM Thermal Mathematical Model – Results DPU and PDU- Max. Min. and Avg. Temperatures Case DPU PDU Mode TmaxTmin∆TTavg.TmaxTmin∆TTavg. [ºC] Hot-FullP52502513633334,5 Hot-MMIA444224325,523,32,224,4 MeanFullP433583925,5205,522,8 Mean-Eclips37,729,38,433,520,715,35,418 Mean-StandB34,525,68,930,116,39,3712,8 Mean-MMIA3425,68,429,816,310,75,613,5 Cold-Full9,99,850,059,88-9,8-9,90,1-9,85

29. ASIM TM4 TERMA | 31 January 2008 side 29 ASIM Thermal Mathematical Model – Results RAM, WAKE and ZENITH Radiators Temperatures RAM Radiator Wake Radiator Zenith Radiator Case TmaxTmin∆TTavg.TmaxTmin∆TTavg.TmaxTmin∆TTavg. [ºC] Hot-Full Power9,863,87,91688,412,23,73,20,53,5 Hot-MMIA Off-0,2-21,8-1,14,8-5,210-0,2-3,6-4,30,7-4 MeanFull Power On4,3-8,212,5-21851311,77-1825-5,6 Mean-Eclipse on-0,8-13,813-7,313-10231,35-7-2316-15 Mean-StandBy-4-1814-1111-2131-5-11-2716-19 Mean-MMIA off-5,3-18,413,1-129-1524-3-10-2616-18 Cold-Full-38,5-39,51-39-38 0,3-38-48-490,8-48

30. ASIM TM4 TERMA | 31 January 2008 side 30 ASIM Thermal Mathematical Model - Conclusion The first approximation ASIM TMM, presented here for the MTR, shows that it should be possible to design simple thermal system, without the louvers and other sophisticated solutions, able to dissipate the power of normal operational modes, while satisfying the most of the temperature requirements of the payload. MMIA interval of [-10ºC; +10ºC] defined as min. operational to optimal operational temp., should be revised or it should be accepted that during the exceptional thermal conditions this interval could be temporarily overstepped. The same goes for MXGS’ DFEE where the optimal operational interval of [-16ºC; +15ºC] could be overstepped for special non-normal operational modes. With all the instruments constantly ON, dissipating its full power, the optimal operational temperature requirements are not fulfilled during almost all the orbits with the tested design, optical material properties and thermal couplings. Further modeling work is required to address the number of questions not analyzed yet or the one this TMM have shown to be critical. The mission scenario needs also to give the modeling work input on the number of questions, e.g. power dissipation during aurora and earth observation modes or during non-nominal ISS’ pointing.

31. ASIM TM4 TERMA | 31 January 2008 side 31 ASIM Thermal Mathematical Model – Results Temperature Distribution- Hot Case

32. ASIM TM4 TERMA | 31 January 2008 side 32 ASIM Thermal Mathematical Model – Results