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02 | Keysight | Power Electronics Device Modeling - Technical Overview
Power Electronics Device Modeling
Power Electronics (PE) design engineers are under strong schedule pressure to address the
growing needs of power conversion, motor drivers, etc. Meanwhile, to enable smaller designs,
the switching frequencies are going up into the 100s of kHz and even low MHz. While these
might be modest frequencies, the voltages, and in particular, the changes in voltages versus
time (dV/dt) are very large. GaN devices today are switching within 250 ps, generating
harmonic content into the GHz range. Inductances as small as 0.1 nH can reshape the
waveforms driving the gate, causing ringing and transient induced noise. Stray inductance in
the high current path is very common, leading to large L*di/dt.
These surges in voltage and current, along with the ringing that follows can cause circuit
malfunction, and in some cases, circuit explosion. The high switching frequencies and
associated harmonics lead to undesirable electromagnetic interference.
These are big problems that need to be simulated and resolved. On the one hand, designers
may improve reliability by using larger power modules, but this leads to increased cost and size.
On the other hand, smaller nimbler devices must be simulated to predict voltage and current
surge issues. Modern power converters are now increasingly digitally controlled, with arrays of
discrete power devices placed side-by-side. To capture a transient over-voltage of a device, the
question arises: “How can we model this?”
Many PE designers simply give up, relying instead on their decades of experience making
circuits work on the lab bench. Designs are therefore iterative, with managers planning small
changes between hardware releases. R&D budgets can swell due to longer than expected
design cycles. Even worse, the design team loses its edge on the competition.
4.5 4.6 4.7 4.8 4.9
5
5.1 5.2 5.3 5.4 5.5
Time (µSec)
-5
0
5
10
15
20
Volts
2
3
4
5
6
7
8
Time Domain Measurements on Half-Bridge Circuit with SiC MOSFETs
Low gate drive
High gate drive
Half-bridge midpoint/40
Inductor current
Amps
Voltage
Temperature