BIDIRECTIONAL CURRENT-FED FLYBACK-PUSH-PULL DC-DC CONVERTER

Similar documents
466 IEEE TRANSACTIONS ON POWER ELECTRONICS, VOL. 13, NO. 3, MAY A Single-Switch Flyback-Current-Fed DC DC Converter

A BI-DIRECTIONAL DC-DC CONVERTER TOPOLOGY FOR LOW POWER APPLICATION 1

Generating Isolated Outputs in a Multilevel Modular Capacitor Clamped DC-DC Converter (MMCCC) for Hybrid Electric and Fuel Cell Vehicles

Analysis and Design of a Bidirectional Isolated buck-boost DC-DC Converter with duel coupled inductors

A New ZVS Bidirectional DC-DC Converter With Phase-Shift Plus PWM Control Scheme

A Double ZVS-PWM Active-Clamping Forward Converter: Analysis, Design, and Experimentation

A HIGHLY EFFICIENT ISOLATED DC-DC BOOST CONVERTER

Voltage Fed DC-DC Converters with Voltage Doubler

A New Three-Phase Interleaved Isolated Boost Converter With Solar Cell Application. K. Srinadh

Bidirectional DC-DC Converter with Full-bridge / Push-pull circuit for Automobile Electric Power Systems

THE TWO TRANSFORMER active reset circuits presented

A Novel Bidirectional DC-DC Converter with Battery Protection

A Novel Bidirectional DC-DC Converter with high Step-up and Step-down Voltage Gains

CURRENT-FED dc dc converters have recently seen resurgence

International Journal of Current Research and Modern Education (IJCRME) ISSN (Online): & Impact Factor: Special Issue, NCFTCCPS -

Key words: Bidirectional DC-DC converter, DC-DC power conversion,zero-voltage-switching.

An Efficient High-Step-Up Interleaved DC DC Converter with a Common Active Clamp

IN recent years, the development of high power isolated bidirectional

Hardware Testing, Designing and Simulation of Dual Input Buck-Buck DC-DC Converter Using H-Bridge Cells

BIDIRECTIONAL dc dc converters are widely used in

THE converter usually employed for single-phase power

SIMULATION OF A BI-DIRECTIONAL DC-DC CONVERTER FOR PV APPLICATIONS

Designing Of Bidirectional Dc-Dc Converter For High Power Application With Current Ripple Reduction Technique

A Dual Half-bridge Resonant DC-DC Converter for Bi-directional Power Conversion

INVESTIGATION OF GATE DRIVERS FOR SNUBBERLESS OVERVOLTAGE SUPPRESSION OF POWER IGBTS

A Novel Bridgeless Single-Stage Half-Bridge AC/DC Converter

Performance Evaluation of Isolated Bi-directional DC/DC Converters with Buck, Boost operations

COMPARISON OF SIMULATION AND EXPERIMENTAL RESULTS OF ZVS BIDIRECTIONAL DC-DC CONVERTER

Analysis of Novel DC-DC Boost Converter topology using Transfer Function Approach

A New Method for Start-up of Isolated Boost Converters Using Magnetic- and Winding- Integration

Cost effective resonant DC-DC converter for hi-power and wide load range operation.

Alternated duty cycle control method for half-bridge DC-DC converter

Implementation of high-power Bidirectional dc-dc Converter for Aerospace Applications

SINCE a dc voltage generated from fuel cells is usually

Analysis and Simulation of Full-Bridge Boost Converter using Matlab

Soft-Switching DC-DC Converters Based on A Phase Shift Controlled Active Boost Rectifier Using Fuzzy Controller

Matlab /Simlink based closed Loop Control of Bi-Directional DC - DC Converter

Simulation of Dual Active Bridge Converter for Energy Storage System Vuppalapati Dinesh 1, E.Shiva Prasad 2

Soft Switched Resonant Converters with Unsymmetrical Control

Interleaved Current-Fed Resonant Converter with High Current Side Filter for EV and HEV Applications

DC Transformer. DCX derivation: basic idea

International Journal of Modern Trends in Engineering and Research e-issn No.: , Date: 2-4 July, 2015

A Three-Phase AC-AC Buck-Boost Converter using Impedance Network

Implementation of an Interleaved High-Step-Up Dc-Dc Converter with A Common Active Clamp

A High Efficient DC-DC Converter with Soft Switching for Stress Reduction

A Bi-directional Z-source Inverter for Electric Vehicles

M.Tech in Industrial Electronics, SJCE, Mysore, 2 Associate Professor, Dept. of ECE, SJCE, Mysore

Design of a Dual Active Bridge DC-DC Converter for Photovoltaic System Application. M.T. Tsai, C.L. Chu, Y.Z. Yang and D. R Wu

FOR THE DESIGN of high input voltage isolated dc dc

A Bidirectional Series-Resonant Converter For Energy Storage System in DC Microgrids

A Novel Technique to Reduce the Switching Losses in a Synchronous Buck Converter

A SINGLE STAGE DC-DC CONVERTER FEASIBLE TO BATTERY CHARGING FROM PV PANELS WITH HIGH VOLTAGE STEP UP CAPABILITY

Multilevel Boost DC-DC Converter Derived From Basic Double-Boost Converter

Improved Battery Charger Circuit Utilizing Reduced DC-link Capacitors

New Conceptual High Efficiency Sinewave PV Power Conditioner with Partially-Tracked Dual Mode Step-up DC-DC Converter

Design of a Wide Input Range DC-DC Converter Suitable for Lead-Acid Battery Charging

High Voltage-Boosting Converter with Improved Transfer Ratio

Fuel Cell Based Interleaved Boost Converter for High Voltage Applications

Zero Voltage Switching in a Low Voltage High Current DC-DC Converter

Analysis, Design and Implementation of Snubberless Bidirectional Current Fed Full Bridge Voltage Doubler

ENERGY saving through efficient equipment is an essential

Hybrid Full-Bridge Half-Bridge Converter with Stability Network and Dual Outputs in Series

Multiple Output Converter Based On Modified Dickson Charge PumpVoltage Multiplier

Sepic Topology Based High Step-Up Step down Soft Switching Bidirectional DC-DC Converter for Energy Storage Applications

K.Vijaya Bhaskar. Dept of EEE, SVPCET. AP , India. S.P.Narasimha Prasad. Dept of EEE, SVPCET. AP , India.

Current-Doubler Based Multiport DC/DC Converter with Galvanic Isolation

LeMeniz Infotech. 36, 100 Feet Road, Natesan Nagar, Near Indira Gandhi Statue, Pondicherry Call: , ,

Soft-Switched Dual-Input DC-DC Converter Combining a Boost-Half-Bridge Cell and a Voltage-Fed Full-Bridge Cell

A New 98% Soft-Switching Full-Bridge DC-DC Converter based on Secondary-Side LC Resonant Principle for PV Generation Systems

Design and Simulation of Synchronous Buck Converter for Microprocessor Applications

HIGH GAIN MULTIPLE-INPUT DC-DC CONVERTER FOR HYBRID ENERGY SYSTEMS

A NOVEL APPROACH FOR INTEGRATED PUSHPULL CONVERTER USING ZVT-PWM TECHNIQUE IN DC UPS

Existing system: The Master of IEEE Projects. LeMenizInfotech. 36, 100 Feet Road, Natesan Nagar, Near Indira Gandhi Statue, Pondicherry

Bidirectional DC-DC Converter Using Resonant PWM Technique

A NEW SOFT-SWITCHING ACTIVE CLAMP SCHEME FOR FULL-BRIDGE ISOLATED CURRENT FED DC-DC CONVERTER FED DRIVES

Comparison and Simulation of Full Bridge and LCL-T Buck DC-DC Converter Systems

MICROCONTROLLER BASED ISOLATED BOOST DC-DC CONVERTER

Implementation of Voltage Multiplier Module in Interleaved High Step-up Converter with Higher Efficiency for PV System

S. General Topological Properties of Switching Structures, IEEE Power Electronics Specialists Conference, 1979 Record, pp , June 1979.

A Novel Control Method Focusing on Reactive Power for A Dual Active Bridge Converter

44. Simulation and stability of multi-port DC-DC converter

ZVT Buck Converter with Synchronous Rectifier

Novel Passive Snubber Suitable for Three-Phase Single-Stage PFC Based on an Isolated Full-Bridge Boost Topology

PSIM Simulation of a Buck Boost DC-DC Converter with Wide Conversion Range

Comparative Analysis of Single Phase and Multiphase Bi-Directional DC-DC Converter

IJSRD - International Journal for Scientific Research & Development Vol. 4, Issue 03, 2016 ISSN (online):

A Highly Versatile Laboratory Setup for Teaching Basics of Power Electronics in Industry Related Form

Hardware Implementation of Interleaved Converter with Voltage Multiplier Cell for PV System

A Single Switch High Gain Coupled Inductor Boost Converter

NEW microprocessor technologies demand lower and lower

Analysis Design and Implementation of Snubber Less Current- Fed Bidirectional Full Bridge Dc-Dc Converter

Novel Zero-Current-Switching (ZCS) PWM Switch Cell Minimizing Additional Conduction Loss

l1-i VEL SINGLE-PHASE ZCS-PWM HIGH POWER FACTOR BOOST RECTIFIER IVO Barbi Carlos A. Canesin

DC-DC Resonant converters with APWM control

Review and Analysis of a Coupled Inductor Based Bidirectional DC-DC Converter

A Novel Single-Stage Push Pull Electronic Ballast With High Input Power Factor

A New Soft Switching PWM DC-DC Converter with Auxiliary Circuit and Centre-Tapped Transformer Rectifier

GENERALLY, a single-inductor, single-switch boost

ZVS IMPLEMENTATION IN INTERLEAVED BOOST RECTIFIER

A ZCS-PWM Full-Bridge Boost Converter for Fuel-Cell Applications

Transcription:

BIDIRECTIONAL CURRENT-FED FLYBACK-PUSH-PULL DC-DC CONVERTER Eduardo Valmir de Souza and Ivo Barbi Power Electronics Institute - INEP Federal University of Santa Catarina - UFSC www.inep.ufsc.br eduardovs@inep.ufsc.br, ivobarbi@inep.ufsc.br Abstract - This paper proposes a new dc-dc static power converter, designated Bidirectional Current-Fed Flyback- Push-Pull DC-DC Converter. Circuit operation, analysis, simulation, design example and experimental results are included in the paper. What distinguishes the proposed converter from the previous circuits is the existence of input and output inductors, which provides a significant reduction of both the power source and the load side current ripple. The proposed converter is suitable for the renewable electric power systems, such as those having fuel cells as the DC-source power supply. It is also a good candidate for electric vehicle power systems, where bidirectional power flow related with battery charge and discharge is necessary. Keywords - bidirectional, current-fed, isolated, flybackpush-pull, dc-dc converter This system is composed by a low voltage fuel cell (LVFC), a low voltage battery (LVB), a double-layer capacitor bank (DLCB) and static converters. A low battery bank is employed due to its volumetric efficiency comes down by connecting several battery cells in series [3]. The LVB and DLCB compose the energy-storage system. The capacitor will handle fast power transients like braking or accelerating while the battery will basically provide power at conditions that fuel cell presents low efficiency. Since this procedure avoids current surges to LVB, its lifetime will be extended [2]. A bidirectional and an unidirectional DC-DC converter are necessary to interface the battery and fuel cell with the bus, respectively, because its output voltage change under operation. These converts can be isolated or non-isolated. Although nonisolated converters present fewer components, galvanic isolation is necessary when: high-voltage and low-voltage sources negative poles cannot be connected or its voltage ratio is high enough that let semiconductors simultaneously handle high voltage and current [4]. Several isolated bidirectional converter topologies have been studied to interface a low voltage battery bank to a high voltage dc bus such as dual active bridge (DAB) types [5, 6] and current-fed half/full-bridge/push-pull types [7 1]. Figures 2 (a) and (b) shows a DAB and a current-fed push-pull topology, respectively. I. INTRODUCTION Fuel cells have been employed as primary power source in electrical vehicles since it presents high efficient and clear electricity generation, however, it lacks energy storage capability and fast power transient response [1]. Consequently, an auxiliary energy storage device is required such as lead-acid or lithium-ion battery. Figure1 shows a fuel-cell-vehicle powertrain topology [2]. Fig. 2. : (a) DAB and (b) current-fed push-pull. Fig. 1. : Fuel-cell-vehicle powertrain topology. The first type shows advantages such as first-order dynamics, high-power density and few components [11, 12] but presents the disadvantage of voltage source characteristics at both sides. The second type presents current-fed at battery side which let it drain low ripple current from the battery, protects low voltage side transistors from current surge and transformer from unbalanced flux [13] when power flow direction is from battery to dc bus. On the other hand, when reverse power flow is established, high voltage side transistors and transformer do not show such protections. In this paper, a isolated bidirectional dc-dc current-fed topology based on the unidirectional current-fed flyback-pushpull converter [14] will be proposed. Expected features are: Current-fed characteristic and low current ripple at both sides; 978-1-4577-1646-1/11/$26. 211 IEEE 8

reduced passive components and; high-efficiency. II. PROPOSED CONVERTER Figure 3 shows the proposed converter topology. The converter is composed by: a flyback transformer, windings L F Bp and L F Bs ; a push-pull transformer, windings L P P p1, L P P p2, L P P s1 and L P P s2, and; four bidirectional-current unidirectional voltage switches, two for each side. Both transformers have the same secondary-primary winding turns ratio a. high. It will be described only the first half switching period since the other half is analogous. In the topological state illustrations, a circle at the transistor gate will be used as symbol to represent that it is enabled. A. Buck p s Mode First stage: The transistor T p1 and T s1 are enabled but due to the current i s direction, D s1 conducts instead of T s1. Transistors T p2 and T s2 are disabled. Figure4 (a) shows this topological state. Second stage: At t = D T s, transistors T p1 turns off, T s2 turns on and T p2 and T s1 keep the previous state. Although T s1 and T s2 states are both on, the current i s flows through D s1 and D s2. Figure 4 (b) presents this topological state. Fig. 3. : Proposed bidirectional topology. III. OPERATION MODES The modulation strategy consists of commanding transistors T p1 and T p2 by two signals with duty cycle D and shifted by half switching period. T s1 and T s2 commanding signals are complementary with T p2 and T p1 ones, respectively. Although it is required dead time between T p1 and T s2 and between T p2 and T s1 signals, there is no need for dead time or overlapping for transistor commanding signals from the same side. Duty cycle can vary from zero to one, hence, there are two operation modes: one in which the primary transistor commanding signals are non-overlapped, and another, in which they are. Since it is a bidirectional converter, for each mode mentioned before, there are two sub-modes depending on power flow directional. Table I presents these modes. Fig. 4. : (a) First and (b) second stage in Buck p s mode. Figure 5 shows the main waveforms for the Buck p s operation mode. TABLE I Operation modes. Power Flow < D <, 5, 5 < D < 1 Primary to secondary Buck p s Boost p s Secondary to primary Boost s p Buck s p The subscriptions p and s indicate primary and secondary sides, respectively. The Buck and Boost analogy is used since proposed converter presents similar pulsed or continuous current characteristics at input or output. Although there are four operation modes, only Buck p s and Boost p s modes will be described due to converter inputoutput symmetry. Still, in the following description, switches will be considered ideal and transformers self inductance very B. Boost p s Mode Fig. 5. : Waveforms for Buck p s mode. First stage: The transistors T p1 and T p2 are enabled and half of current i p flows through each one. Transistors T s1 and T s2 are disabled. Figure 6(a) presents the topological state in this stage. 9

Second stage: In t = (2D 1)T s /2, transistor T p2 turns off and transistor T s1 turns on. Although the transistor T s1 is enabled, current i s flows through D s1 because of its direction. Figure 6(b) shows the topological state in the current stage. D 2 (1 2D) if < D <.5 L F Bp = 2(1 D) (3) D(2D 1) if.5 < D < 1 2 The secondary winding self inductance are given by (4). L F Bs = a 2 L F Bp (4) Equation (5) and (6) give the output capacitance and its normalized value, respectively. Fig. 6. : (a) First and (b) second stage in Boost p s mode. P o C o = C o (5) E s2 f s V o % D(1 2D) if < D <.5 C o = 2(1 D) (6) (2D 1) if.5 < D < 1 2 Figure 8 shows the behavior of the normalized primary winding inductance and output capacitance against duty cycle. Figure 7 presents the main waveforms for Boost p s operation mode. Fig. 8. : Normalized output capacitance and flyback inductance. Fig. 7. : Waveforms for Boost p s mode. IV. STATIC GAIN Static gain is described by (1). Since the employed modulation strategy lets the converter operate only in continuous conduction mode, this characteristic is independent of load. E s = a D E p 1 D V. Passive components The flyback primary winding self inductance and its normalized value are given by (2) and (3), respectively. L F Bp = (1) E p 2 P o f s i% L F Bp (2) VI. SIMULATION RESULTS The converter simulation will be realized to verify its operation in the modes described in section III. Since both modes transfer power from the primary to secondary side, the output voltage source E s will be replaced by an RC load. Table II shows two converter specifications design: one operating in Buck p s mode and other in Boost p s mode. Table III presents the flyback transformer self inductances, transformation ratio and output capacitance for each design. TABLE II Specification. Description Value Input Voltage 25 (V) Output Voltage 25 (V) Nominal Power 2 (kw) Switching Frequency 25 (khz) Duty cycle 4; 6 (%) Current Ripple 1 (%) Output voltage ripple 1 (%) Figures 9 and 1 present Buck p s and Boost p s mode simulation results, respectively. 1

TABLE III Converter designs. Parameter Buck p s Boost p s a 1.5.67 L F Bp (µh) 333.3 75 L F Bs (µh) 75 333.3 C o(µf) 8.5 12.8 VII. EXPERIMENTAL RESULTS A laboratory prototype was implemented with the specification presented at Table IV. Two semi-regenerative clamping circuits, one at primary side and another at secondary side, were designed due to the switches voltage stress produced by the interruption of transformer leakage inductance current. Figure 11 shows the converter schematic with the clamping circuits. Fig. 9. : Simulation waveforms in Buck p s mode. TABLE IV Prototype specifications. Parameter Value a 2 Primary Side Voltage 8 (V) Secondary Side Voltage 16 (V) Nominal Power 8 (W) Switching Frequency 5 (khz) Duty cycle 45; 55 (%) Current Ripple 1 (%) Output voltage ripple 1 (%) L F Bp 4 (µh) L F Bs 16 (µh) C p 94 (µf) C s 69 (µf) Fig. 11. : Converter schematic with clamping circuit. Fig. 1. : Simulation waveforms in Boost p s mode. Experimental results were obtained for two operation modes: Buck p s and Boost s p. Duty cycle was set at 45% for both cases. A 75 ns dead time was inserted between the transistors T p1 and T s2 command signals and transistors T p2 and T s1. For each mode, the output voltage source was replaced by an RC load adjusted to dissipate the converter rated power and the input voltage source was regulated in order to have the nominal voltage at the load. Figure 12 shows voltage and current waveforms of primary and secondary converter sides when operating at Buck p s operation mode. Channels 1 and 2 refers to v p and v s voltages while channels 3 and 4 to i p and i s currents. It is possible to observe that both currents are positive, indicating that the power comes from primary to secondary side. 11

vp (V) vs (V) ip (A) is (A) 12 9 6 3 2 15 1 5 16 12 8 4 12 8 4 V p = 14V V s = 163.3V Ī p = 9.1A Ī s = 5.21A 1 2 3 4 5 6 Fig. 12. : Experimental converter current and voltage waveforms in Buck p s operation mode. In Figure 13, voltage and current waveforms of primary and secondary converter sides when operating at Boost s p operation mode are presented. Channels 1 and 2 refers to v p and v s voltages while channels 3 and 4 to i p and i s currents. In this case, both currents are negative indicating that the power comes from secondary to primary side. vp (V) vs (V) ip (A) is (A) 1 75 5 25 2 15 1 5 5 5 1 15 5 1 15 V p = 8.9V V s = 141.5V Ī p = 9.94A Ī s = 6.32A 1 2 3 4 5 6 Fig. 13. : Experimental converter current and voltage waveforms in Boost s p operation mode. Figures 14 and 15 show voltage and current waveforms of S p1 and S s2 switches for Buck p s and Boost s p operation modes, respectively. In both cases, channel 1 and 2 refers to the voltages v T p1 and v T s2 and channels 3 and 4 to its currents in the given order. Negative current value indicates that the current passes through the diode instead of the transistor. It is possible to verify that there are voltage spikes at switching times at primary and secondary side transistors in both modes. vt p1 (V) vt s2 (V) it p1 (A) it s2 (A) 4 3 2 1 6 45 3 15 15 1 5 3 3 6 max(v T p1 ) = 42V max(v T s2 ) = 48V Ī T p1 = 4.51A Ī T s2 = 2.44A 1 2 3 4 5 6 Fig. 14. : Experimental transistors current and voltage waveforms in Buck p s operation mode. vt p1 (V) vt s2 (V) it p1 (A) 4 3 2 1 6 45 3 15 5 5 1 15 it s2 (A) 9 6 3 max(v T p1 ) = 34V max(v T s2 ) = 498V Ī T p1 = 5.9A Ī T s2 = 3.19A 1 2 3 4 5 6 Fig. 15. : Experimental transistors current and voltage waveforms in Boost s p operation mode. VIII. CONCLUSION This paper has presented an isolated bidirectional converter based on the unidirectional current-fed flyback-pushpull topology. By employing the presented modulation strategy, this converter preserves the main characteristics of unidirectional topology version operating in continuous conduction mode, including: operation modes, static gain and input/output current ripple, and show the possibility of synchronous rectification. 12

Expressions for passive components design were presented and verified that the flyback primary winding self inductance is minimized at duty cycle of 5 %. Experimental results validated the possibility of bidirectional power flow between converter primary and secondary sides and evidenced the necessity of clamping circuit to limit voltage spikes on switches. Conference (IPEC), 21 International, 21, pp. 981 986. [13] A. I. Pressman, Switching Power Supply Design. McGraw-Hill Professional, 1991. [14] D. Ruiz-Caballero and I. Barbi, A new flyback-currentfed push-pull dc-dc converter, IEEE Transactions on Power Electronics, vol. 14, no. 6, pp. 156 164, Nov. 1999. REFERENCES [1] T. Gilchrist, Fuel cells to the fore [electric vehicles], IEEE Spectrum, vol. 35, no. 11, pp. 35 4, Nov. 1998. [2] J. Bauman and M. Kazerani, A comparative study of fuel-cell battery, fuel-cell ultracapacitor, and fuel-cell battery ultracapacitor vehicles, IEEE Transactions on Vehicular Technology, vol. 57, no. 2, pp. 76 769, 28. [3] T. Bhattacharya, V. Giri, K. Mathew, and L. Umanand, Multiphase bidirectional flyback converter topology for hybrid electric vehicles, IEEE Transactions on Industrial Electronics, vol. 56, no. 1, pp. 78 84, 29. [4] J.-S. Lai and D. Nelson, Energy management power converters in hybrid electric and fuel cell vehicles, Proceedings of the IEEE, vol. 95, no. 4, pp. 766 777, 27. [5] F. Krismer, S. Round, and J. Kolar, Performance optimization of a high current dual active bridge with a wide operating voltage range, in Power Electronics Specialists Conference, 26. PESC 6. 37th IEEE, 26, pp. 1 7. [6] J. Walter and R. De Doncker, High-power galvanically isolated dc/dc converter topology for future automobiles, in Power Electronics Specialist Conference, 23. PESC 3. 23 IEEE 34th Annual, vol. 1, 23, pp. 27 32 vol.1. [7] F. Peng, H. Li, G.-J. Su, and J. Lawler, A new zvs bidirectional dc-dc converter for fuel cell and battery application, Power Electronics, IEEE Transactions on, vol. 19, no. 1, pp. 54 65, 24. [8] S.-J. Jang, T.-W. Lee, W.-C. Lee, and C.-Y. Won, Bidirectional dc-dc converter for fuel cell generation system, in Power Electronics Specialists Conference, 24. PESC 4. 24 IEEE 35th Annual, vol. 6, 24, pp. 4722 4728 Vol.6. [9] L. Zhu, A novel soft-commutating isolated boost fullbridge zvs-pwm dc-dc converter for bidirectional high power applications, IEEE Transactions on Power Electronics, vol. 21, no. 2, pp. 422 429, 26. [1] T. Mishima and E. Hiraki, Zvs-sr bidirectional dc-dc converter for supercapacitor-applied automotive electric energy storage systems, in 25 IEEE Conference Vehicle Power and Propulsion, 25, p. 6 pp. [11] A. Alonso, J. Sebastian, D. Lamar, M. Hernando, and A. Vazquez, An overall study of a dual active bridge for bidirectional dc/dc conversion, in Energy Conversion Congress and Exposition (ECCE), 21 IEEE, 21, pp. 1129 1135. [12] G. Guidi, M. Pavlovsky, A. Kawamura, T. Imakubo, and Y. Sasaki, Efficiency optimization of high power density dual active bridge dc-dc converter, in Power Electronics 13