Helen Cui
Office:  Min Kao 502 
Email: 
ude.ktu@iucneleh 
Phone:  8659743461 
Fax:  8659745483 
Address:  Min H. Kao Building, Room 502 1520 Middle Drive Knoxville, TN 379962250 
Biography
Han (Helen) Cui is an Assistant Professor in the Department of Electrical Engineering and Computer Science at the University of Tennessee. She received the B.S. degree in electrical engineering from Tianjin Univerisity, Tianjin, China, in 2011, and the M.S. and Ph.D. degrees from Virginia Tech, Blacksburg, in 2013 and 2017, respectively, both in electrical engineering. From 2017 to 2019, Dr. Cui was with the Electrical and Computer Engineering Department at University of California, Los Angeles as a postdoctoral researcher to expand the knowledge of magnetics modeling for ultrahigh frequency applications. Her research interests include highefficiency power converters, magnetic components for power electronics and microwave applications, highdensity integration and packaging, and micromagnetic physics.
Publications
Journal Papers

IEEE Transactions on Power Electronics2023
arrow_drop_downWhile the employment of wide bandgap (WBG) devices in highfrequency and highvoltage applications brings benefits such as reduced system size and improved efficiency, it aggravates the electromagnetic interference (EMI) issue due to fast switching. Highfrequency EMI noise suppression relies mainly on the filter design, where the filter's performance is strongly affected by parasitics. Through analyzing the commonmode (CM) equivalent circuit of a halfbridge power module, this letter identifies the key parasitics that dominate the performance of a commonmode filter (CMF) at high frequencies. To minimize the parasitics, the concept of integrating the CMF inside the WBG power module package is developed to improve the noise attenuation. A Ï€type CMF is integrated with a halfbridge GaNbased power module as a prototype to validate the concept. Experiments are conducted by measuring the CM noise spectrum received by the line impedance stabilization networks (LISNs) from the hard switching of the designed power module under 70 V and 80 kHz. Comparing the measured results of the integrated CMF to the externallyadded CMF, up to 50 dBÎ¼V more attenuation is achieved by the integrated CMF in the frequency range of 10Â MHz to 100Â MHz, verifying the theoretical analysis and the established CM equivalent circuit.
[BibTeX] 
IEEE Transactions on Power Electronics2022
arrow_drop_downExisting current sensors suffer from insufficient measurement bandwidth or large insertion area to faithfully capture the continuous switching transient current of widebandgap devices. The combinational Rogowski coil concept is proposed here, where the selfintegrating region of a shielded Rogowski coil is combined with its differentiating region to extend the overall measurement bandwidth. The coil design methodology, including the parasitic element model and practical design boundaries, is discussed. The concept is implemented with printed circuit boards and prototypes demonstrated up to 300Â MHz bandwidth. The coil can also be easily integrated in an SiC mosfet module power stage and it is shown that the switching transient current waveform is faithfully captured.
[BibTeX] 
IEEE Open Journal of Power Electronics2022
arrow_drop_downUniversal serial bus power delivery (USBPD) chargers are more attractive to consumers with multiple output ports where more devices can be charged simultaneously. Existing multipleport charger designs take multistage approaches, which increases power loss, charger size, and cost. This paper addresses this issue by presenting a timedivision multiplexing (TDM) quasiresonant (QR) flyback converter that eliminates the buck converter stages with simple and commercial analog implementations without the need of microprocessors. The circuit operation and practical design considerations are discussed in detail. An universal AC input, dualUSBC GaN prototype validates the concept, while demonstrating USBPD compliant operation, passed conducted EMI, and superior efficiency which passes the most stringent efficiency standards with margin where the benchmark GaN charger fails. Thanks to the elimination of buck stages, the proposed dualUSBC charger achieves 1.9 W/cm$^{3}$ uncased power density, close to that of singleUSBC charger.
[BibTeX] 
IEEE Transactions on Power Electronics2021
arrow_drop_downUniversal serial bus power delivery (USBPD) fast chargers equipped with widebandgap devices are driven to higher power density and efficiency. The indispensable highvoltage bulk capacitors used to smooth the rectifier output could take 40% of the total system volume due to the large capacitance value required. This paper discussed a capacitor reduction method using a selfdriven thyristor scheme comprised of only three components in total. No extra control circuit is needed. Circuit analysis and design equations are presented, and the design results are implemented in a 60W GaNbased activeclamp flyback converter. The measurement results on the prototype show a 36.4% reduction of the bulkcapacitor size with similar efficiency compared to the conventional solution.
[BibTeX] 
IEEE Transactions on Antennas and Propagation2021
arrow_drop_downIt is proposed that ferromagnetic resonance (FMR) of thin film ferrites can be utilized to simultaneously improve the radiation efficiency and input impedance matching of electrically small antennas (ESAs). To validate the concept, the role of FMR in radiation is first derived analytically with an ideal thinfilm ferrite radiator. It was concluded that the Gilbert damping of the ferrite, determining the quality factor of FMR, directly impacts on the radiation efficiency of the antenna. A practical example is proposed in the form of an electrically small single loop antenna loaded with a thinfilm yttriumirongarnet (YIG) core. The prototype has been designed, fabricated and evaluated through both fullwave simulations and experiments. The simulation results match well to the experimental results, demonstrating the efficacy and significance of the idea. In addition, broadband equivalent circuit models are derived to model both the electrically small loops with and without the FMR enhancement and to provide additional insights to the design. The circuit models prove to be effective in predicting the input impedance and radiation efficiency of FMR enhanced ESAs at a precision comparable to fullwave simulations.
[BibTeX] 
IEEE Transactions on Microwave Theory and Techniques2019
arrow_drop_downA physicsbased nonlinear circuit model is developed for frequencyselective limiters (FSLs) based on thinfilm magnetic materials. The equivalent circuit model is structured and its parameters are determined rigorously from the fundamental physics of electromagnetic waves and spin waves. The spin motions as well as the ferromagnetic resonance (FMR) are modeled by RLC parallel circuits with parameters derived from Polder's tensor and Kittel's equations. The exchange coupling between spins is modeled by an inductor added between adjacent RLC circuits based on quantum spin theory. The nonlinear crossfrequency coupling from signal at ω to spin waves at ω/2 is represented by a nonlinear coupled inductor model that follows the mathematics of a pendulum motion to represent the parametric oscillations of spins. The circuit units are cascaded to describe the spinwave propagation inside the magnetic material, and transmission line parameters are added finally to describe the electromagnetic wave propagation. An FSL device described in the literature is used as an example to validate the circuit model, and the model successfully predicts the powerdependent insertion loss as well as the threshold power level, time delay, and frequency selectivity of the power limiting effect.
[BibTeX] 
IEEE Transactions on Power Electronics2019
arrow_drop_downA methodology to develop a subcircuit model for core loss simulation in LTspice is presented. The subcircuit implements the dynamic core loss model used in the transient solver of finiteelement analysis (FEA) in order to provide equivalent results in the time domain for ferrite materials. The wipeout rule is applied in the simulation so that the core loss during the transient behavior can be predicted. A field factor is derived from an effective flux density for a nonuniform flux distribution to simplify the relationship between the current and the field for arbitrary magnetic core shapes. The interface of the subcircuit is capable of being integrated to any power stage simulations. Simulation results of core loss equivalent to the FEA on an exemplary platecore inductor are obtained from the subcircuit that significantly reduces computational cost.
[BibTeX] 
IEEE Transactions on Magnetics2017
arrow_drop_downAn inductor with winding sandwiched between two core plates is analyzed to model the nonuniform distribution of magnetic field. The winding is placed near the edge of the core to maximize the energy within the limited footprint such that the amount of energy stored outside the core volume is not negligible. The proportionalreluctance, equalflux model is developed to build the contours with equal amount of flux by governing the reluctance of the flux path. The shapes of the flux lines are modeled by different functions that are guided by the finiteelement simulation. The field calculated from the flux lines enables calculation of inductance, winding loss, and core loss. The inductance is used as a figure of merit to evaluate the modeling accuracy. Prototypes made of flexible circuit for inductors with different layouts are measured to verify the model. The measured inductances agree with the modeled result by less than 13% error.
[BibTeX] 
IEEE Transactions on Industrial Electronics2017
arrow_drop_downA “distributed inductor” comprises a core containing multiple winding windows carrying prescribed Ampereturns. Its magnetic field can be shaped to vary by less than a distribution factor υ. The positions, dimensions, and Ampereturns of the windings are synthesized to improve the energy density. A design procedure is formulated to accentuate the impact of υ on the tradeoffs between inductance and losses. It is validated by a prototype having half the height of the commercial counterpart for a 30 W converter.
[BibTeX] 
IEEE Transactions on Power Electronics2014
arrow_drop_downThe “constantflux” concept is leveraged to achieve high magneticenergy density, leading to inductor geometries with height significantly lower than that of conventional products. Techniques to shape the core and to distribute the winding turns to shape a desirable field profile are described for the two basic classes of magnetic geometries: those with the winding enclosed by the core and those with the core enclosed by the winding. A relatively constant flux distribution is advantageous not only from the density standpoint, but also from the thermal standpoint via the reduction of hot spots, and from the reliability standpoint via the suppression of flux crowding. In this journal paper on a constantflux inductor (CFI) with enclosed winding, the foci are operating principle, dc analysis, and basic design procedure. Prototype cores and windings were routed from powderiron disks and copper sheets, respectively. The design of CFI was validated by the assembled inductor prototype.
[BibTeX]
Conference Papers

2022 IEEE Applied Power Electronics Conference and Exposition (APEC)2022
arrow_drop_downThis paper discusses the impact of parasitic inductances on the electromagnetic interference (EMI) performance at radiated frequency and provides a new concept for highfrequency wide bandgap (WBG) power module package design with integrated $\pi$type common mode filter ($\pi$CMF). The connection parasiticinductances of a $\pi$type CMF model are analyzed, and the parasitic inductances from the CMF to the CM noise source and to the heatsink are minimized to improve the CMF's EMI performance in the radiated frequency range. Therefore, placing the $\pi$CMF closer to the power module (i.e. inpackage CMF) provides a larger noise attenuation compared to placing it outside the module (i.e. external CMF). To verify the theoretical analysis, a halfbridge GaN power module with an inpackage $\pi$CMF is designed, and experiments are conducted by comparing the attenuated noise spectrums of a 70V/1.75A hardswitching buck converter built by the designed module with an external CMF and the powermodule integrated CMF. According to the experiment results, up to $10\ \text{dB}\mu\mathrm{V}$ more attenuation is achieved by the inpackage CMF than the external CMF, validating the analytical conclusion.
[BibTeX] 
2022 IEEE Energy Conversion Congress and Exposition (ECCE)2022
arrow_drop_downIn this paper, an embedded GaN halfbridge power module with doublesided cooling, low inductance, low thermal resistance, onpackage decoupling capacitors, localized common mode filter, and integrated gate drivers is proposed. The two GaN dies are embedded in a printed circuit board (PCB) with heat dissipation paths to a ceramic substrate from both sides of the devices to achieve doublesided cooling capability. Thermal and electrical performance are fully analyzed and optimized. A lowcost module assembly procedure is presented utilizing standard layer attaching process. Finally, a compact $\mathbf{2.7}\ \mathbf{cm} \times \mathbf{1.8}\ \mathbf{cm}$ halfbridge GaN power module is fabricated to verify both electrical and thermal performance through experiments. The switching performance of the power module is tested under 400 V/25 A doublepulse test that shows the power loop inductance is as low as 1.03 nH and the overshoot voltage of the switching waveform is less than 5% of the dc bus voltage. The thermal resistance is verified to be 0.32 K/W, and the fabricated power module is employed in a buck converter with 500 W output power at 600 kHz switching frequency.
[BibTeX] 
2022 IEEE Energy Conversion Congress and Exposition (ECCE)2022
arrow_drop_downThe DC measurement capability and high frequency bandwidth are vital aspects for current sensors to accurately capture the switching current behavior of wide bandgap devices. However, typical Rogowski coil (RC) current sensors lack DC sensing capability resulting in inaccurate low frequency measurement results. This paper presents a concept of combinational RC with improved DC measurement capability without intruding the power loop area for double pulse test (DPT) systems. The DC current sensor and the RC are placed at different locations to capture the lowfrequency and highfrequency switching current, respectively. An analog adder circuit is used to combine the two sensing results, thereby extending the measurement bandwidth of the RC without increasing the insertion parasitic inductance. The frequencydomain measurement of the combinational RC with DC sensors verifies the extended DC measurement bandwidth. In the paper, the switching current measured from a halfbridge SiC power module under DPT has been used as an example to demonstrate the enhanced measurement capability of this combinational RC avoiding an increase of extra parasitic.
[BibTeX] 
2021 IEEE Energy Conversion Congress and Exposition (ECCE)2021
arrow_drop_downUniversal serial bus power delivery (USBPD) chargers are more attractive to consumers with multiple output ports. Existing multiple port charger designs take multistage approach thus increase power loss and charger size. Also, ports are normally designed with different power capability thus the highpower port becomes underused if the connected device is fully charged while the other lower power ports cannot take over the unused power. This is mainly limited by the power architecture design. This paper addresses this issue by presenting a multiplexing based multiport quasiresonant flyback converter. The design achieves true powersharing with high efficiency, small size, and simple analog implementation. This paper discusses the operating principle and design considerations. A GaNbased 60 W dual port charger verifies the proposed scheme while achieving 76% size reduction and 1% efficiency improvement than stateoftheart.
[BibTeX] 
2020 IEEE Energy Conversion Congress and Exposition (ECCE)2020
arrow_drop_downAn enhanced model for coupled inductors with significant fringing effect is developed in the form of equivalent circuit. The equivalent circuit is derived from a physical model that captures the flux paths through a leakage inductor and two mutual inductors on the primary and secondary side. A mutual winding resistor is added in parallel with the mutual inductor to model the winding loss affected by the fringing flux that penetrates the winding. The equivalent circuit is verified by finiteelement simulation (FES) and successfully predicts the opencircuit winding loss and winding loss variation with phaseshift impact.
[BibTeX] 
3D Multiscale Unconditionally Stable TimeDomain Modeling of Nonlinear RF Thin Film Magnetic Devices2019 IEEE International Symposium on Antennas and Propagation and USNCURSI Radio Science Meeting2019
arrow_drop_downAn unconditionally stable threedimensional (3D) finitedifference timedomain (FDTD) algorithm has been proposed to solve simultaneously Maxwell's equations and the LandauLifshitzGilbert (LLG) equation with full nonlinear effects. The proposed algorithm can predict the dynamic interaction between magnetic spins and EM fields. The accuracy of the modeling has been validated by 1. Small signal simulation of a linear ferrite isolator and 2. Large signal simulation of the dispersive permeability of a continuous ferrite film. The simulations agree with the theoretical and experimental predictions, under both linear and nonlinear circumstances. Specifically, the algorithm has fully revealed that sufficiently large RF power can decrease the ferromagnetic resonance (FMR) frequency and suppress the permeability.
[BibTeX] 
2019 IEEE MTTS International Microwave Symposium (IMS)2019
arrow_drop_downA nonlinear circuit model is developed for magnetic material based frequencyselective limiters (FSL). The dominant magneticbehaviors of FSL devices are translated into equivalent circuits with parameters rigorously determined from fundamental physics. The spin motions as well as the ferromagnetic resonance (FMR) are modeled by RLC parallel circuits with parameters derived from Polder's tensor and Kittel's equations. The exchange coupling between spins is modeled by an inductor added between adjacent RLC circuits based on quantum spin theory. The nonlinear crossfrequency coupling from signal at ω to spin waves at ω/2 is represented by a pendulum model that predicts the parametric oscillations of spins. A FSL device described in literature is used as an example to validate the circuit model. The simulation results match the measurement results published, and the model successfully predicts the threshold power level, nonlinear insertion loss, time delay, and frequency selectivity of the device.
[BibTeX] 
2019 IEEE MTTS International Microwave Symposium (IMS)2019
arrow_drop_downAn unconditionally stable threedimensional (3D) finitedifference timedomain (FDTD) algorithm has been proposed to predict the dynamic interaction between nonlinear magnetic spins and electromagnetic (EM) fields in nonlinear magnetic devices. The proposed modeling solves simultaneously Maxwell's equations and the LandauLifshitzGilbert (LLG) equation with full nonlinear effects. The accuracy of the modeling has been validated by 1. Small signal simulation of a linear ferrite isolator and 2. Large signal simulation of the dispersive permeability of a continuous ferrite film. The simulations agree with the theoretical and experimental predictions. The fact that the 2μmthick film exhibits strong nonlinearity shows the potential of magnetic thin film applied in miniature RF front ends.
[BibTeX] 
2014 IEEE Energy Conversion Congress and Exposition (ECCE)2014
arrow_drop_downThe “constantflux” concept introduced recently is leveraged to distribute magnetic flux to improve energy density, lowering the profile of an inductor. The optimal flux distribution with normalized parameters is identified mathematically, and verified by simulation. It is then applied to reduce the dc resistance of a commercial inductor by a factor of two, keeping the outer dimensions and inductance the same. Thermallimited current rating is improved by 50%, whereas saturationlimited current rating is improved by 20% thanks to the suppression of flux crowding. The simulation result is verified by measurement results of a prototype under high current bias.
[BibTeX] 
2013 TwentyEighth Annual IEEE Applied Power Electronics Conference and Exposition (APEC)2013
arrow_drop_downThe “constantflux” concept is leveraged to achieve high magneticenergy density, leading to inductor geometries with height significantly lower than that of conventional products. Techniques to shape the core and to distribute the winding turns to shape a desirable field profile is described for the two basic classes of magnetic geometries, those with the core outside the winding and those with the core inside the winding. A relatively constant flux distribution is advantageous not only from the density standpoint, but also from the thermal standpoint via the reduction of hot spots, and from the reliability standpoint via the suppression of flux crowding. Design and fabrication results are delineated for a coreoutside inductor with same specifications as a commercial counterpart, but with smaller footprint as well as smaller height. Prototype cores and windings were milled from powderiron disks and copper sheets, respectively. The volume of the prototyped constantflux inductor is 66% the volume of a commercial inductor with same inductance and dc resistance.
[BibTeX]