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Ask an Expert Forum Can someone verify my thermal calculations?
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Can someone verify my thermal calculations?

Andrew J
Andrew J over 3 years ago

Maths is not my strong point but I think I've got basic calculation correct.  So: 4 MOSFETs connected in parallel, on a heatsink with a Sil-Pad isolator.  Assume that the MOSFETS are connected correctly and are sharing the load equally.

Thermal Calculation
Max Power 150 W From design limit
Package Dimension 1.648 cm^2 From datasheet for MOSFET, case and tab
Package Dimension 0.255 in^2 Converted
Parallel MOSFETS 4 From design
Power/MOSFET 37.5 W Power shared equally
Max J Temp 175 C From datasheet for MOSFET
Ambient 35 C Inside Case, assumed when running hot
Rjmb 0.5 C/W From datasheet for MOSFET1
Thermal Paste 0 C-in^2/W Sil-Pad doesn't require paste
Isolating Pad 0.3 C-in^2/W Sil-Pad K-6 datasheet
Heatsink 1.4 C/W Natural convection, from datasheet
Junction to case 18.75 C Power per mosfet * Rjmb
Case to Heatsink 2.86875 C Power per mosfet *((paste + pad) * package dimension)
Heatsink 52.5 C Power per mosfet * heatsink
Ambient 35 C
Total 109.11875 C
%Max J Temp 62.35%

MOSFET datasheet: https://4donline.ihs.com/images/VipMasterIC/IC/NEXP/NEXP-S-A0002881467/NEXP-S-A0002882763-1.pdf?hkey=6D3A4C79FDBF58556ACFDE234799DDF0

Sil-Pad K-6 datasheet: https://www.farnell.com/datasheets/90833.pdf 

The "tricky" bit to watch out for is the area calculation for the Sil-Pad to reach the case to heatsink impact, particularly as I'm converting square cm to square inches.  K-6 seems to be pretty good, but I have seen some quite high C/W figures for silicon pads and this calculation is trying to convert from an area-based thermal resistance to a C/W thermal resistance to keep the units the same through the calculation. EDIT: I'm aware the 0.3 figure will be based on pressure applied and the overall area used during manufacturer's testing, unlikely to be TO-220 sized!  However, I do need to include something in the calculation with the intention of seeing how close to maximum allowed I get.  I'll confirm with real life testing of course and I'm also trading that 0.3 value against the heatsink's 1.4 value as I will in fact be using a fan to bring that figure down.

Alse:

1 The MOSFET datasheet table 5/Fig.4 on page 4, covers the Junction to case temperature but it isn't clear.  It states a MAX of 0.5K/W (0.5 C/W) but is this a max allowed or a max it can be - on the basis that it can be lower if the power through the MOSFET is pulsed more quickly?  According to the graph, 0.5 is based on a pulse duration that never exceeds half the cycle (single shot through to theta = 0.5) once that cycle reaches approx. 0.06seconds but these MOSFETs will be used continuously as part of a DC load, in other words theta would be 1 but this is not shown on the graph.  Therefore, 0.5 doesn't seem appropriate and also seems inordinately low for a TO-220 package.

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  • michaelkellett
    michaelkellett over 3 years ago +3 verified
    I think you have an error in the case to heatsink line, you have 0.255 sq in of sil pad, at 0.3 C/W per square inch so it's 1.176 C/W for the pad. Case to heatsink is 37.5 * 1.176 = 44.1C. If there is…
  • michaelkellett
    michaelkellett over 3 years ago in reply to Andrew J +3
    I haven't used mica insulators for ages, because they are hard you need a very thin film of grease on both sides and if the finish on the heatsink isn't good (and on a classic cheap extruded heatsink it…
  • Andrew J
    Andrew J over 3 years ago in reply to michaelkellett +2
    michaelkellett said: f there is just one heatsink there is a second error - the heatsink temp rise = 150 * 1.4 = 210 so I'm assuming you have a heatsink per device. Ah, of course! There is just one heatsink…
Parents
  • dougw
    0 dougw over 3 years ago

    The heatsink temperature looks okay assuming you have one of these heatsinks on each transistor, otherwise the temperature would be much higher. The junction temp looks like it is over 153 which would shorten transistor life. Hopefully the heatsinks aren't where they could be touched since they get very hot. I would try to design for a lower temperatures if possible, (bigger heatsinks) - everything would see less stress and last longer. Note that if the heatsinks are close to each other the effective ambient temperature is increased and everything gets hotter.

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  • dougw
    0 dougw over 3 years ago

    The heatsink temperature looks okay assuming you have one of these heatsinks on each transistor, otherwise the temperature would be much higher. The junction temp looks like it is over 153 which would shorten transistor life. Hopefully the heatsinks aren't where they could be touched since they get very hot. I would try to design for a lower temperatures if possible, (bigger heatsinks) - everything would see less stress and last longer. Note that if the heatsinks are close to each other the effective ambient temperature is increased and everything gets hotter.

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  • Andrew J
    0 Andrew J over 3 years ago in reply to dougw

    Michael pointed out the flaw in my maths quite succinctly!!  It's my own project, for myself, so I can play around with the specs as I want.  I think the easiest approach is to drop the power down to something more manageable rather than to up spend for a power level I'll likely never bother with anyway.

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