1322 IEEE TRANSACTIONS ON ELECTROMAGNETIC COMPATIBILITY, VOL. 61, NO. 4, AUGUST 2019
Voltage-Dependent Capacitance Extraction of SiC
Power MOSFETs Using Inductively Coupled In-Circuit
Impedance Measurement Technique
Zhenyu Zhao , Student Member, IEEE, Kye Yak See , Senior Member, IEEE, Wensong Wang , Member, IEEE,
Eng Kee Chua, Senior Member, IEEE, Arjuna Weerasinghe , Zhenning Yang , Student Member, IEEE,
and Wayne Chen
Abstract—The voltage-dependent capacitances of silicon carbide
power metal–oxide–semiconductor field-effect transistors (MOS-
FETS) affect the switching characteristics and have a direct impact
on the electromagnetic compatibility (EMC) performance of the
power conversion circuit. To predict and mitigate the potential im-
pact on EMC in the early design phase, the capacitances have to
be obtained accurately. In this paper, a novel method is proposed
based on an inductively coupled in-circuit impedance measurement
technique. The proposed method extracts the voltage-dependent
capacitances of a MOSFET under its actual biased voltage without
making any direct electrical contact, and hence eliminates poten-
tial safety hazards. Once the inductive probes are characterized,
there is no need to re-calibrate the setup prior to each measure-
ment, and therefore, it simplifies the whole measurement process.
The accuracy of the extracted voltage-dependent capacitances for
the SiC power MOSFET has been validated experimentally.
Index Terms—Inductively coupled in-circuit impedance mea-
surement, power metal–oxide–semiconductor field-effect tran-
sistors (MOSFETs), silicon carbide (SiC), voltage-dependent
capacitances.
I. INTRODUCTION
C
OMPARED with conventional power semiconductor de-
vices, wide-bandgap power semiconductor devices, such
as silicon carbide (SiC) power metal–oxide–semiconductor
field-effect transistors (MOSFETs), are gaining more popularity
due to their lower ON-resistance, higher switching frequency,
Manuscript received December 3, 2018; revised February 28, 2019 and April
6, 2019; accepted April 30, 2019. Date of publication May 15, 2019; date of
current version August 13, 2019. This work was supported by the SMRT-NTU
Smart Urban Rail Corporate Laboratory with funding support from the National
Research Foundation, SMRT, and Nanyang Technological University under the
Corp Lab@University Scheme. This paper was presented in part at the 2018
IEEE Symposia in Singapore/Long Beach, Singapore/Long Beach, CA, USA,
July 30–August 3, 2018. (Corresponding author: Zhenyu Zhao.)
Z. Zhao, K. Y. See, W. Wang, E. K. Chua, A. Weerasinghe, Z. Yang are with
the School of Electrical and Electronic Engineering, Nanyang Technological
University, Singapore 639798 (e-mail:, zhao0245@e.ntu.edu.sg; ekysee@ntu.
edu.sg; uscnuaa@gmail.com; ekchua@ntu.edu.sg; harshaya001@e.ntu.edu.sg;
zhenning002@e.ntu.edu.sg).
W. Chen is with SMRT Corporation Ltd., Singapore 179102 (e-mail:,
wayne.chen@smrt.com.sg).
Color versions of one or more of the figures in this paper are available online
at http://ieeexplore.ieee.org.
Digital Object Identifier 10.1109/TEMC.2019.2914704
higher blocking voltage, and higher rated junction temperature
[1]–[4]. However, the higher switching frequency has led to
undesirable oscillations at the rising and falling edges caused
by the resonance of the interelectrode capacitances of the SiC
power MOSFET and the circuit loop inductances [5]–[7]. Such
oscillations can reduce the system’s reliability due to their as-
sociated electromagnetic interference (EMI) [8], [9]. In order
to predict and mitigate the negative effects in the early design
phase, the capacitances have to be obtained [10]–[12]. Since the
capacitances are voltage dependent [13], knowing their values
over the entire voltage operating range is necessary.
Several methods have been reported to obtain these voltage-
dependent capacitances. One of them is applying the finite ele-
ment method to extract the capacitances [14] but it requires the
detailed geometrical structure and material information of the
SiC power MOSFET, which may not always be readily available
due to the intellectual property protection. Another method is to
use an LCR meter or an impedance analyzer [15] but it requires
many additional accessories, such as dc blocking capacitors,
ac blocking inductors, resistors and, protection diodes. Time-
domain reflectometry method has also been reported [13] but
proper isolation is necessary to ensure the measurement setup be
disconnected from the ground. Also, this method is only limited
to obtain the output capacitance of the MOSFET. A multi-probe
approach was also proposed [16] but laborious calibrations are
necessary before each measurement, and its accuracy is highly
dependent on the selected calibration resistors [17]. Besides
the above-mentioned methods, a power device analyzer is also
available in the market. It requires to connect a specific bias-tee
to extract the voltage-dependent capacitances under high volt-
age biasing conditions [18]. As the bias-tee has direct electrical
contact with the high voltage dc power supply, added protection
devices are necessary for safety hazard compliance.
This paper proposes an alternative approach based on an in-
ductively coupled in-circuit impedance measurement technique.
The measurement setup of the proposed method has no direct
electrical contact with the SiC power MOSFET that is biased
with high dc voltage, and hence eliminates potential safety haz-
ards without introducing additional protection devices. In ad-
dition, the measurement setup is relatively simple and easy to
implement. Furthermore, once the inductive probes are charac-
terized, there is no need to re-calibrate the setup before each
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