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Abstract- A new synchronous rectifier (SR) driving method is proposed using primary current sensing in this paper. Because the magnetizing current of ...
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A New Current Driven Synchronous Rectifier for Series-Parallel Resonant (LLC) DC-DC Converter Xinke Wu(member, IEEE), Guichao Hua, Junming Zhang (member, IEEE), Abstract- A new synchronous rectifier (SR) driving method is proposed using primary current sensing in this paper. Because the magnetizing current of transformer is included in primary winding of transformer, it can’t be used to generate the driving signals of SRs directly. A current compensating winding in current transformer is used to cancel out the magnetizing current and generate suitable driving signals for SR. Therefore, one CT is used to generate two driving signals for two SRs in LLC converter with center tapped rectifier. This current driven method is simple and low cost for high output current DC-DC application. A 150W DC-DC prototype using LLC half bridge converter with proposed SR circuit is built up to verify the theoretical analysis. Index Terms- LLC current driven synchronous rectifier, Primary current sensing, current compensation. I INTRODUCTION In recent years, the series-parallel resonant LLC converter becomes more and more popular in isolated DC-DC applications due to its high power density, high efficiency and long hold-up time capability [1-4, 24-26]. Since the LLC converter has no output inductor, the voltage stress of the rectifier device is much lower than that of conventional isolated topology with filter inductor. Therefore, low break-down voltage devices can be used to reduce the conduction loss. However, if SR is used to reduce the conduction loss, the achieving of optimal driving signals is much more complex [5-8] than that of conventional PWM converters [13-15]. The self driven SR is simple and low cost in DC-DC conversion. This kind driving circuits utilizes the transformer winding or auxiliary winding to drive SR without additional components or with a few external signal diodes and transistors. They are suitable for PWM converters with inductive filter [12, 13]. But, if they are used in resonant converters [10, 11], driving voltages are not reasonable because the voltages across transformer are sinusoidal when the leakage inductance is large. In order to achieve appropriate drive voltage, the leakage inductance should be minimized [9]. But, small leakage

Zhaoming Qian (Senior member, IEEE)

inductance causes current reversion in SR because when the primary switch turns off, the decrease of current in SR is before the removing of gate voltage. Furthermore, when the switching frequency is lower than the dominating resonant frequency [6] in LLC converter, the reverse current becomes more serious [5]. It may cause high conduction loss and voltage spike [14]. In order to get the desirable driving voltage, the switching frequency should be higher than the dominating resonant frequency [9]. It limits the normalized steady state gain lower than 1, and LLC converter can’t work at the optimized operating point in DC-DC application with hold-up time requirement because the optimized operating point for LLC converter is at the dominating resonant frequency [1, 3]. External driven methods [6-8] also have the current reversion in SR. In order to reduce the reversing current the switching frequency is always higher than the dominating frequency [6]. Therefore, the wide steady state gain of LLC converter is sacrificed. For voltage driven methods [5, 16, 17], the cost is very low. But, the driving signal is noise sensitive. With smart driven IC, such as IR1167 (IR) and TEA1761 (NXP), the cost is still high. Furthermore, whatever the discrete voltage driven circuit or smart IC, the driven voltage is dependent on the Rdson of SR, which reduces the reliability and becomes more noise sensitive. Current driven SR techniques with current transformer (CT) [18-22] can be used in LLC converter because the driving signal is controlled by the current in SR. With these methods, there is no current reversion at wide switching frequency range. Furthermore, the reliability is high because the driving voltage is independent of the Rdson of SR. However, in high current application with center tapped rectifier, two independent CTs are needed using available current driven methods, which bring out high current loss in traces and windings of CTs. In order to reduce the cost and improve the reliability, a new primary current sensing technique is proposed to derive the SR driving signals in this paper.

Manuscript received June 18, 2009. Accepted for publication 04 Feb. 2010. Copyright (c) 2009 IEEE. Personal use of this material is permitted. However, permission to use this material for any other purposes must be obtained from the IEEE by sending a request to [email protected].

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magnetizing current ipm.

Fig.1 Conventional primary current sensing SR for LLC converter with external parallel resonant inductor

Fig.2 Proposed SR driving method for LLC converter with integrated parallel resonant inductor II CIRCUIT DESCRIPTION AND OPERATION PRINCIPLES A) Proposed primary current sensing and magnetizing current compensation Fig.1 shows a series-parallel LLC resonant half bridge converter with external parallel resonant inductor Lm. The feedback loop with opto-coupler is omitted because it isn’t discussed in this paper. The external inductor Lm is much lower than the magnetizing inductance of transformer. The resonant current ipm in Lm is much larger than the magnetizing current in transformer. Therefore, the current in the primary winding reflects the load current directly because the magnetizing current of the transformer can be neglected. Hence, iPT can be sensed with a CT to generate driving signals for SRs as shown in Fig.1. The volt-second across Lm and the current in Lm are high. It is quite difficult to decrease the core loss without any sacrifice of the copper loss in this inductor because the current in the parallel resonant inductor can’t be neglected. In practice, in order to reduce the cost and size, the parallel resonant inductor Lm is integrated into the transformer as shown in Fig.2. Therefore the magnetizing inductance of the transformer is Lm and the primary current ip includes the reflected load current iTp and the

If ip is used to generate the driving signals for SRs directly, the magnetizing current causes wrong driving logics for SRs. When the current in SR decreases to zero, ip is still flowing through primary winding because of the magnetizing current in Lm. If ipm can be neglected, the primary current can be used to generate the driving signal like the circuit in Fig.1. In order to cancel out the magnetizing current’s effect, a new CT with compensating winding is proposed. With the new CT, an additional compensating current source, which is in proportional to ipm, is needed. Fortunately, the variation slope of ipm is proportional to the voltage across the transformer. Therefore, a current source icomp can be built up with an inductor Lcomp paralleling with the transformer winding. It is in proportional to the current ipm. Fig.2 shows a secondary side construction method for the additional current source. Besides the secondary side location, any position whose voltage is proportional to the voltage across transformer is possible. Fig.3 shows the possible locations of the inductor Lcomp. The implementations of CT and SR driving circuit are shown in Fig.4. The compensating winding Ncomp in the CT is used to cancel out the sensed magnetizing current in winding NPCT. The secondary winding NSCT is used to generate driving signals for SRs. Two push-pull drivers follow the output winding NSCT to drive two SRs of center tapped rectifier in the LLC converter. The direction of current icomp in compensating winding is opposite to ipm. Because Lcomp parallels with Lm, it affects the equivalent parallel resonant inductance. If the affection can be neglected, the operation of the power stage becomes different. Either for efficiency optimization or for the cost reduction, the effect of the additional parallel inductor should be as low as possible. When the inductor Lcomp parallels with Lm, the equivalent parallel inductance is Lmequ. For the secondary side paralleled application in Fig.2 the equivalent Lmequ is got in (1).

L mequ =

L m ⋅ L comp ⋅ n 2 L m + L comp ⋅ n 2

(1)

where n=Np/Ns. When Lcomp*n2>>Lm, for example Lcomp*n2>20*Lm, then Lmequ ≈ Lm and the influence of Lcomp in the steady state operation of the circuit can be neglected. The analysis of the operation principle and the following design considerations are both with the condition in (2).

L mequ ≈ Lm

(2)

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Fig.3 Simplified equivalent circuit of the transformer with paralleling inductor

clamping circuit for the SR1’s gate voltage when SR1 is off. With the clamping circuit, iCTm is shortened during the common off time of SRs when switching frequency is lower than the dominating frequency. It is necessary because the current iCTm will cause the undesirable drive signal on SR. The operation of protection circuit is divided into on and off stages during half switching cycle. The detailed equivalent circuits of CT and driving circuit operation stages are shown in Fig.6. Fig.7 shows the simplified equivalent circuits of CT and driving circuits according to Fig.6. Following are the detailed explanations of four stages.

Fig.4 Current transformer structure and driving circuit B) Operation Principles of the driving circuit In order to simplify the analysis, the circuit is divided into four stages during half switching cycle as shown in Fig.5. The primary ZVS transitions and the steady state analysis of LLC converter are presented in previous literatures [1, 3, 4], therefore they are not repeated here. Cg is the equivalent input capacitance of SR. Current iCTm is the magnetizing of CT in winding NSCT. The reflected current from NPCT after cancellation in NSCT is iCT. Voltage drop of DC1, DC2 and D1, D2 is supposed to be VD. The transistor QC1 and resistor R3, diode D3 compose a

Fig.5 Key waveforms in half switching cycle

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Fig.6 Equivalent circuits of four stages

Stage 1 (t0-t1): At t0, Q1 is on, and Q2 is off. There are no currents in SRs. The current ip is freewheeling in primary side. Because the voltage across drain to source of SR1 is high, the transistor QC1 is turned on. Therefore, point A is clamped close to zero. The magnetizing current in NSCT is freewheeling in the winding NSCT , the transistor QC1 and the diode D2. No driving signal outputs from CT. Without the clamping circuit (consisting of QC1, R3, D3) the voltage at point A will increase and SR1 would be turned on before its body diode conducts. Stage 2 (t1-t2): At t1, Q1 turns off and the body diode of SR1 begins conducting. Therefore, QC1 turns off and point A is released, and this clamping circuit is off. After QC1 turns off, the current iCT flows through the base of QA1, and the equivalent gate input capacitor Cg, as shown in Fig.7, of SR1 is charged rapidly by the current in the collector of QA1. Meanwhile, the current iCTS increases from zero. When the voltage VgSR1 reaches (Vo+VD-VBE) at t2, clamp diode DC1 conducts and this stage ends, where Vo is the output voltage and VBE is the voltage drop of base-emitter junction. Since the time of this transition stage is much less than Ts/2, iCTm is assumed to be constant during this interval.

Stage 3 (t2-t3): After t2, SR1 is on because VgSR1 is high. Since DC1 is on, the energy from CT can be fed into output capacitors. The voltage across the NSCT is (Vo+2VD). The current iCTm increases during this interval according to (3).

i CTm (t) = I CTm − ≈ I CTm

(Vo + 2VD ) (t − t 2 ) L CTm

Vo − (t − t 2 ) LCTm

(3)

where ICTm is the magnetizing current of CT at t1. The current flowing through diodes DC1 and D2 is iCT (iCT=iCTs-iCTm). As shown in Fig.5, in this stage the current iCTs is in phase with iSR, and iCTm decreases from positive ICTm. When iCTs reaches negative ICTm, the current iCT decreases to zero and this mode ends. Stage 4 (t3-t4): At t3, when current iCT decreases to zero, there is no current flowing through DC1, and it is off. After t3, the direction of iCT deviates because the current iCTs decreases continuously. Since QC2 in the clamping circuit (consisting of QC2, R4 and D4) of SR2 is on during all

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intervals of SR1, the current iCT passes through the collector of QC2. Therefore, the cathode of D2 is clamped at ground. Also current iCT flows through the base of QA2, Cg is discharged by the collector current of QA2. Hence, the voltage VgSR1 decreases rapidly. At t4, Cg is fully discharged by QA2, and SR1 turns off. After t4 the operation mode is similar to stage 1 except that the diode D1 is on and D2 is off, and the other half switching cycle begins.

requirement of the inductor winding should consider high voltage, which increases the cost. Paralleling an inductor at location B is a better choice because the volt-second of secondary side is much less, and the voltage stress is low. B) Relationship between Lcomp and NsCT/NpCT In order to achieve the current cancellation appropriately, the compensating current source icomp and the winding Ncomp must be designed carefully. It should be noted that the following analysis and design are based on the condition in (2). Therefore, the effect of Lcomp on the power stage is neglected. From Fig.3, the slope of the current ipm are determined by voltage vp(t) across winding Np. Therefore, ipm is described in (4).

i pm (t ) =

v p (t ) Lm

⋅ t − I pm

(4)

where Ipm is the peak of magnetizing current in Lm. The slope of the current icomp is determined by the voltage across secondary side winding, which is in proportional to the primary voltage vp(t). The current icomp in Lcomp is described in (5).

i comp (t ) =

v p (t) n ⋅ L comp

t − I comp

(5)

where Icomp is the peak of icomp. The peak current Ipm can be derived according to the average voltage of vp(t) during half switching cycle.

I pm =

V p Ts 1 V p ⋅ Ts = Lm 2 2 4 Lm

(6)

where Vp is the average value of vp(t) during half switching cycle. Therefore, the peak current Icomp can be derived in (7).

Fig.7 Simplified equivalent of CT and driving circuit III DESIGN CONSIDERATIONS A) Optimized Location of Lcomp From the possible locations of Lcomp in Fig.3, all the locations can be used in ideal implementation. But, in practical implementation the size and the cost of Lcomp are different for different locations. If icomp is constructed in primary side by paralleling an inductor across primary winding, the volt-second of primary side location is much higher than that of secondary side. When a certain current source is needed, the loss and the inductance of primary side implementation are high. Furthermore, the isolating

I comp =

V p ⋅ Ts 4n ⋅ Lcomp

(7)

The CT senses the currents ip and icomp with different windings, NpCT for ip and Ncomp for icomp. The current ip includes the magnetizing current ipm and reflected current iSR/n. The current icomp reflected in primary winding is neglected. The reluctance model of the proposed CT is shown in Fig.8, which is built up according to [24]. The quantity Rp refers to the reluctance path l and the cross area Ae, R p = l (u r uo Ae ) . The magnetomotive force (mmf) caused in NpCT is divided into two parts according to ipm and iSR/n.

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Fig.9 shows the candidates of Lcomp with different turns of Ncomp and NpCT. N pCT iSR

Φ

n

N comp =

n 2 ⋅ L comp n ⋅ Lm

N pCT >

20 N pCT n

(12)

Fig.8 Reluctance model of the proposed CT with three windings. Therefore, the mmf caused by NpCT is described as (8).

N pCT i p = N pCT i p m + N pCT

iSR n

(8)

In order to cancel out the magnetizing current ipm in winding NPCT, the mmf caused in Ncomp should equal to the mmf caused by ipm. Hence,

N comp icomp = N pCT i pm

(9)

When (9) is matched, the current ipm is not reflected in current iCTs. Therefore, the driving signal from winding NsCT is independent of the current ipm. By substitute (4) - (7) into (9), we get

N comp v p (t ) Lcomp n =

t − N comp

N pCT v p (t ) Lm

V p ⋅ Ts 4n ⋅ Lcomp

t − N pCT

V p ⋅ Ts

(10)

4 ⋅ Lm

From (10), the relationship among the key parameters of CT is derived in (11).

N comp Lcomp n

=

N pCT Lm

(11)

This equation shows that the compensating current is independent of the voltage of the transformer. It also represents the relationship between turn ratio NpCT/Ncomp and inductance Lcomp. It is a key designing criteria of the proposed current compensating method. C) Determination of Ncomp For 12V output and 400V input DC-DC application, n is between 16 and 17 for LLC half bridge converter [1]. The inductance of Lm is determined in designing the power stage as presented in [1]. The count of winding NpCT is about one turn or two turns for convenience. Therefore, the turn count of Ncomp can be derived from (11). In order to reduce the effect of Lcomp, it is supposed that n2*Lcomp>20Lm. Then, Ncomp should be larger than (12).

Fig.9 Possible inductance Lcomp vs. Ncomp Besides the selection of the compensation winding Ncomp, NsCT should also be considered. From the analysis of the stages in half switching cycle the on time of SR is determined by the magnetizing current and the reflected current in SR. Therefore, it is important to design the magnetizing inductance LmCT and the turn ratio m of CT (m=NsCt/NpCT). D) Selection of m and the core of CT The current iCTm is determined by the voltage across NsCT and the dominating resonant period of power stage. In analyzing iCTm the transition stages (stage 1, 2 and 4) can be neglected because these intervals are much less than stage 3. Therefore, similar to the analysis of Ipm and Icomp, ICTm is derived in (13).

I CTm =

1 Vo + 2VD Tr Vo ⋅ Tr ≈ 2 LmCT 2 4 LmCT

where Tr= 2π

(13)

Lr Cr . The inductance LmCt is derived

according to the turn count and the core quantity Rp.

(mN ) =

2

L mCT

pCT

Rp

(14)

Because the SR1 is turned off when the reflected current iCTs equals to ICTm at t4, the magnetizing current of CT affects the on time of SR. The reflected current iCTs is derived in (15). i CTs =

iSR n⋅m

(15) When iCTs=Ictm, we get the critical current in SR at t4.

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i SR (t 4 ) ≈

Tr Vo ⋅ n ⋅ R p Tr Vo ⋅ n ⋅ R p = 4 m ⋅ N pCT 2 4 ⋅ N sCT N pCT

However, considering the tolerance of the inductance of the Lcomp, for example, +/-10% deviation, the inductance of Lcomp should be lower than the calculated result and the magnetizing current ipm is over compensated in CT, which leads to the meeting time of iCTm and iCTs ahead of the ideal precise compensation.

(16)

Fig.10 The current in SR vs. NsCT at t4 ( toroid core with ur=7500, l=6cm, Ae=15mm2)

Because SR1 is turned off after t4, this critical current passes through the body diode of SR1, and it causes conduction loss in SR. The quantities Tr, Vo, n, are determined in designing the power stage, the iSR(t4) is affected by Rp, m and NpCT of CT. In order to reduce the size and the cost of CT, The ferrite core with high permeability and small size is preferred for this CT. However, less size core results in higher Rp and iCTm, and iCTm will meet iCTs earlier. Hence, the shutoff time of SR1 will be earlier, and it will result in high body diode conduction loss. In order to prevent high body diode loss, the turn ratio should be selected corresponding to Rp. But, high NsCT will increase the cost and size of CT. Therefore, it should be balanced between the size of CT and the shutoff time of SR. E) Design procedures of compensating quantities

current

sensing

and

After the key parameters of power stage are determined, the parameters for CT and compensating current can be designed. The detailed designing steps are provided in following. Step 1: Determining the inductance range of Lcomp according to (2). In order to reduce the effect on the power stage, this inductance should be as large as possible referring to Lm (generally, n2Lcomp>20*Lm). Since Ncomp should be an integer, the Lcomp must be corrected according to a selected Ncomp in (11) and Fig.9. Ncomp is appropriate from 4 to 8 because the current icomp and the size of CT can be optimized. Step 2: After the inductance range of Lcomp is got, the core of Lcomp can be selected. Since the larger Ncomp results in larger Lcomp and less icomp, in order to reduce the loss of Lcomp, larger Ncomp is preferred. In order to reduce the cost, Iron powder Toroid core or conventional ferrite rod core can be used to build up the inductor. The size of the inductor should be as small as possible to minimize the cost and the effect on the layout of secondary side.

Step 3: Determining m and NsCT according to (16) and Fig.10. From Fig.10, the NsCT influences the body diode loss. Although larger NsCT results in less body diode loss, when NsCT is large enough, the body diode loss becomes very small. As shown in Fig.10, when NsCT is higher than 50 with NpCt=2, the body diode loss is lower than 0.08W which is neglected in a 150W converter. Therefore, in order to reduce the size and cost of CT NsCT is below 50. It should be noticed that there is a compromise in step 2 and step 3 for NpCT. It can be seen in Fig.9 and Fig.10 that higher NpCT causes higher icomp and iCTs, but leads to less body diode loss with same NsCT. Therefore, the conduction los between body diode and icomp should be balanced. IV EXPERIMENTAL VERIFICATIONS AND ATTENTIONS Vin

Table 1 Key parameters of the prototype 280V-390V 12V/12.5A Vo/Iomax Normal: 390V

fs

96kHz

n

33:2

Lm:

620 uH/ PQ2625/TP4A

CT core

T 10*7*5 (TDG/TS7)

Lcomp

175 uH/Iron Powder Core/ T10*7*5 FDB070AN06

Ncomp :NpCT :NsCT Lr

8:2:50

12uH

Cr

SR1 SR2 Lk

113uH RM8/TP4A 20 nF

A LLC prototype with the primary current driven SR is built up to verify the theoretical analysis. The secondary side current driven SR [19] is also tested with the same prototype except the SR driving circuit. Table 1 provides the key parameters of the prototype. The dominating resonant frequency is about 96 kHz. Fig.11 shows the measured driving signal and drain to source voltage of SR1 at different load condition. The optimal driving signal for SR1 is achieved at full load. The measured driving logic is almost the ideal driving logic for SR. However, the measured driving signal deviates from ideal driving signal at light load. The shutoff time of gate voltage is a little ahead of zero-crossing of the current in SR at light load. The main reason is that the meeting time of iCTm and iCTs advances when iCTs decreases with the load current. Therefore, the body diode loss increases and the efficiency is less than that of the secondary side current driven SR.

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When the switching frequency is higher than dominating resonant frequency, the proposed current driven circuit still works well as shown in Fig.12. But, the voltage ringing across SR increases because the there is a small reversed current in SR. It shows that the response of the driving circuit is limited, and the current reversion appears when the di/dt is higher than 100A/us. Fig.13 is the primary current ip and corresponding compensating current icomp. The current compensation is achieved very well with the proposed method. The driving signals with load transition are shown in Fig.14. When Io steps from full load to very light load, the driving signals vary with the current ip in transformer. When the reflected load current in ip becomes less and less, the width of gate voltage becomes narrower as zoomed in Fig.14. When the load is very light (fr.

iP:2A/div icomp:0.2A/div Vds:20V/div VgsSR:20V/div Fig.13 measured primary current, compensation current and gate signal of SR1

Fig.14 Voltages of SR1 and primary current waveforms at the transition from full load (12.5A) to light load (0.5A)

Fig.11 Drive signals and drain to source voltages of SR1 at different loads.

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1 0.95 0.9 Proposed SR Secondary side SR

0.85 0.8 0.75

1

2

3

4

5

6 7 8 9 10 11 12 Io(A) Fig.15 Measured efficiencies of the prototype with the proposed SR circuit and the circuit in [19] respectively

Fig.16 Size comparisons between the proposed SR method and Smart IC (SO-8)

V CONCLUSIONS This paper presents a low cost synchronous rectifier with primary current sensing and magnetizing current compensation for the LLC converter. With the proposed compensation method, the driving signal for SR follows the current in SR very well in wide load range. Compared with secondary side current sensing circuit, only one CT is used to generate two driving voltages for SRs in center tapped rectifier. Since no CT is in series of the secondary side traces, the PCB at secondary side can be simplified. Although a small compensating inductor is placed at secondary side, it is in parallel with the winding. Therefore, it effects on the PCB can be minimized. A 150W (12V/12.5A) LLC half bridge DC-DC prototype verifies the theoretical analysis. The measure efficiency for LLC HB converter is up to 96.3% at full load. Although the measured efficiency improvement at full load is not high compared with conventional current driven method in [19] in the prototype, the proposed method is still attractive in high power density application. ACKNOWLEDGEMENT The authors would like to give thanks to Dr. Dianbo Fu (CPES, Virginia Tech) for his valuable suggestions on improving this paper.

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Bo Yang and Fred C. Lee Alpha J. Zhang and Guisong Huang

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Xinke Wu (M’09) was born in Jiangsu province, China, in 1978. He received the B.S Degree and M.S Degree in electrical engineering from Harbin Institute of Technology, Harbin, China in 2000 and 2002 respectively, and received Ph.D degree in electrical engineering from Zhejiang University, Hangzhou, China in 2006. Now he is an assistant research fellow of National Engineering Research Center (NERC) for Applied Power Electronics in Zhejiang University. His research covers soft switching of power conversion, power factor correction, high efficiency Dc-Dc converter and power electronics system integration. Guichao Hua received a master degree in electrical engineering from Zhejiang University, Hangzhou, China, in 1988. He received his Ph.D. degree in electrical engineering from the Virginia Tech, Blacksburg, Virginia, U.S.A., in 1994, and he was working as a researcher in CPES, Center for Power Electronics Systems, for 5 years during that period. As a co-founder & vice president of engineering of VPT Inc. from 1994 to 1999, the founder & GM

of Bel Power (Hangzhou) Co., Ltd. from 1999 to 2007, the founder & CEO of Inventronics (Hangzhou) Co., Ltd. from 2007 till now and the founder & CEO of LED One (Hangzhou) Co., Ltd. from 2009 till now, Dr. Hua is the initiator of the PWM zero-voltage switching theory. He holds more than 17 US Patents with several licensed to multiple international power companies, and he published over 60 papers on international magazines and conference proceedings. Junming Zhang was born in Zhejiang, China, in 1975. He received the M.S. degree and Ph.D. degree in electrical engineering from Zhejiang University, Hangzhou, China, in 2000 and 2004 respectively. He is an associate professor of College of Electrical Engineering in Zhejiang University. His research interests include power electronics system integrations, power management, DC/DC converter, synchronous rectifier and high power inverters.

Zhaoming Qian (IEEE SM’92) was graduated in radio engineering from Electrical Engineering Department of Zhejiang University, China in 1961. He received Ph.D. in applied science from Catholic Univ. of Leuven and the Interuniversity Microelectronics Center (IMEC), Leuven, Belgium, in 1989. Since 1961 He has been doing teaching and research work on electronics and power electronics in Zhejiang University of China. He was promoted as a professor of the Electrical Engineering Department of Zhejiang University in 1992. He is currently the deputy director of National Engineering Research Center for Applied Power Electronics at Zhejiang University and the deputy director of Scientific Committee of National Key Laboratory of Power Electronics at Zhejiang University. His main professional interests include power electronics and its industrial applications, power electronic system integration, and EMC in power electronic systems etc. He has published one book on EMC design and more than 200 papers. He received Excellent Education Awards from the China Education Commission and from Zhejiang University in 1993, 1997, and 1999 respectively, the Science and Technology Development Awards from the China Education Commission in 1999 and 2003 respectively.

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