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Power Electronics · 96 h · Topic 8 of 8

Protection and heat removal

A transistor that dissipates 200 W in 1 ms pulses with a 10 % duty cycle peaks at 71 °C; with 100 ms pulses and the same average, at 128 °C. The average power is not enough for sizing.

Snubber Desaturation Ultrafast fuse Thermal resistance Thermal impedance

01Overvoltages

When a switch carrying current opens, the parasitic inductance of the circuit —traces, cables, package— generates an overvoltage \( L\,di/dt \) that adds to that of the bus. With the edges of tens of nanoseconds of modern devices, a few nanohenries are enough for tens of volts. It is tackled on three fronts:

  • Layout: laminated busbars and decoupling capacitors right next to the switches, to shrink the switching loop.
  • Damping networks (snubbers): an RC or RCD network in parallel with the switch absorbs the energy of the parasitic inductance and slows the rise of the voltage.
  • Clamps: TVS suppressors or an active clamp that turns the switch back on if the voltage exceeds a threshold.

Overvoltages that arrive from the grid, from lightning or switching operations, are limited with varistors and surge arresters, as seen in other devices.

02Overcurrents and short circuits

A power semiconductor has very little thermal capacity: an overcurrent destroys it in microseconds or milliseconds. The protections act at different speeds:

ProtectionResponse timeHow it works
Desaturation detectionA few microsecondsIf the collector-emitter voltage of a turned-on IGBT rises, there is a short circuit: the driver turns it off softly. IGBTs typically withstand a short circuit of up to about 10 μs
Cycle-by-cycle current limitingOne switching cycleCurrent-mode control cuts the pulse when a threshold is exceeded
Ultrafast fuseMillisecondsIt is chosen with a melting \( I^2 t \) lower than the one the semiconductor can withstand
Thermal protectionSecondsA sensor on the heat sink or in the module reduces the power or shuts down

03Heat removal

In steady state, heat follows a path of thermal resistances in series, like a current through resistors:

\[ T_j = T_a + P\,(R_{jc} + R_{cs} + R_{sa}) \] Junction to case, case to heat sink —the thermal interface—, and heat sink to ambient, which depends on the size of the heat sink and on whether there is forced air or liquid cooling. The junction temperature accelerates failures according to Arrhenius, as seen in reliability.

But each part also has thermal capacity: in a short pulse, the junction heats up before the heat reaches the heat sink. Datasheets give the transient thermal impedance \( Z_{th}(t) \), which is modeled with a Foster network, a sum of exponentials:

\[ Z_{th}(t_p) = \sum_i R_i \left(1 - e^{-t_p/\tau_i}\right) \] \[ Z_{ef} = \sum_i R_i\,\frac{1 - e^{-t_p/\tau_i}}{1 - e^{-T/\tau_i}} \] The first is for a single pulse of duration \( t_p \); the second, for a pulse train of period \( T = t_p / D \) in steady state, and gives the temperature peak at the end of each pulse: \( T_{j,pico} = T_a + P\,Z_{ef} \).
Lab · junction temperature with pulses

A transistor with Rjc = 0.4 K/W in three Foster stages (0.05, 0.15 and 0.2 K/W with 0.5 ms, 5 ms and 50 ms), an interface of 0.1 K/W and 1 s, and a heat sink of 0.5 K/W and 60 s, at an ambient temperature of 40 °C. The curves are the effective impedance as a function of pulse width for several duty cycles; the blue one is the one chosen.

04In the laboratory

Activity 1 · Snubber

Measure the turn-off overvoltage of a MOSFET with an inductive load, without an RC network and with several values, and calculate the power dissipated by the resistor.

Activity 2 · Thermal resistance

Apply constant power to a transistor mounted on a heat sink, measure the case and heat sink temperatures, and deduce the thermal resistances.

Activity 3 · Cooling curve

Use the voltage of a diode as a thermometer to record the cooling of the junction and fit a Foster network.

05Common mistakes

  • Sizing with the average power when there are long pulses. The temperature peak can be much higher.
  • Forgetting the thermal interface. A dry or poorly tightened mica insulator can double the case-to-heat-sink resistance.
  • Protecting a semiconductor with an ordinary fuse. It is too slow: the semiconductor fails first.
  • Adding a snubber without counting its loss. Its resistor dissipates \( C V^2 f \), which at high frequency is a lot.

06Self-assessment

What junction temperature does the lab transistor reach with 100 W continuous?

\( 40 + 100 \cdot 1 = 140 \) °C.

And with 200 W pulses, 1 ms, duty cycle 0.1?

About 71 °C at the peak: the effective impedance is 0.157 K/W.

How long does an IGBT typically withstand a short circuit?

Up to about 10 μs, according to its datasheet.

What is an RC network in parallel with a switch for?

To absorb the energy of the parasitic inductance and limit the overvoltage and the rate of rise at turn-off.

07Further reading

  • Ned Mohan, Tore M. Undeland and William P. Robbins. Power Electronics: Converters, Applications, and Design. 3rd ed., Wiley, 2003. Snubbers, protected drivers and thermal design.
  • Andreas Volke and Michael Hornkamp. IGBT Modules: Technologies, Driver and Application. 2nd ed., Infineon Technologies, 2012. Short circuit, desaturation and the thermal impedance of modules.
  • Frank P. Incropera and David P. DeWitt. Fundamentals of Heat and Mass Transfer. Wiley. (Spanish edition: “Fundamentos de transferencia de calor”, Pearson.) The conduction, convection and radiation behind thermal resistances.
Development of the topic “Protection and heat removal” of Power Electronics (Level 5), based on the curriculum of the UTN Electronic Engineering program, 2023 curriculum — Ordinance No. 1849 of the UTN Higher Council. Back to the Topic Map · catto.ar