www.ietdl.org Published in IET Power Electronics Received on 11th June 2013 Revised on 21st July 2013 Accepted on 17th August 2013 doi: 10.1049/iet-pel.2013.0455 ISSN 1755-4535 Analysis, design and implementation of an improved two-switch zero-current zero-voltage pulse-width modulation forward converter Karim Soltanzadeh1, Majid Dehghani1, Hosein Khalilian2 1 Department of Electrical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran Department of Electrical Engineering, Tabriz National University, Tabriz, Iran E-mail: k.soltanzadeh@yahoo.com 2 Abstract: In this study, an improved two-switch zero-current zero-voltage switching pulse-width modulation (ZCZVS-PWM) forward converter, which employs a simple resonant lossless snubber circuit, is introduced. A simple resonant snubber circuit consists of a capacitor, an inductor and two diodes. In proposed converter, switch Q1 operates under exactly zero-current switching at turn-on, and exactly zero-voltage switching (ZVS) at turn-off, and switch Q2 operates under exactly ZCZVS at turn-on, and ZVS at turn-off, and the all-passive semiconductor devices operate under soft-switching at turn-on and turn-off. The proposed converter has no current and voltage spikes in the switches in comparison with the hard-switching forward converter counterpart and is suitable for high switching frequency and high-power operation. The proposed converter is analysed and various operating modes of the improved two-switch ZCZVS-PWM forward converter are discussed. Analysis and design considerations are presented and the prototype experimental results of a 160 W (32 V/5 A) proposed converter operating at 300 kHz switching frequency, confirm the validity of theoretical analysis. 1 Introduction Pulse-width-modulated (PWM) forward converter is used in the industry in a wide variety of applications. This converter is required to operate with high switching frequency because of demands for small converter size and high-power density. High switching frequency operation, however, results in higher switching losses, increased electromagnetic interference (EMI) and reduced converter efficiency. In the classical configuration of the forward converter uses a tertiary winding for core reset [1, 2], and a disadvantage of the reset winding is that the transformer leakage inductance discharge spike cannot be put off. The leakage spike sums up with the voltage induced by the reset winding and causes a high-voltage spike across the active switch. In [3], a resistorcapacitor-diode (RCD) clamp circuit was proposed for the forward converter transformer reset. The RCD snubber is simple, but the power stored in snubber capacitor dissipates on the resistor and the switch turns off at hard-switching, thus the overall efficiency of converter is still low. In order to decrease the switching losses and absorb the voltage spikes while reducing the converter losses, active snubber and clamps are applied to dc–dc forward converters [4–19]. Almost all these techniques achieve soft-switching condition in the switch using an active auxiliary circuit. Resonant forward converters have been presented in [4–7] to reduce switching losses and increase system efficiency. However, the voltage stress in resonant converters is high for high-input voltage applications. The high-voltage or 1016 & The Institution of Engineering and Technology 2014 Downloaded from http://www.elearnica.ir current stress on semiconductors will increase conduction losses. The forward converters with the zero-voltage switching (ZVS) technique have been presented in [8–12]. However, the main drawbacks of these schemes are the complex control approach and too many power switches in the circuit. In [13, 14] active clamp, ZVS forward converters providing ZVS condition for the converter switch were presented. In the active clamp technique, the soft-switching condition is load dependent and soft-switching condition is lost under light load condition. In [15–17], zero-current switching (ZCS) forward converter is introduced. In [15], an extra winding is required to reset the transformer core just like the regular forward converter. In [16, 17], an auxiliary circuit on the secondary side of transformer is required. However, this auxiliary circuit is complex. In [18, 19], conventional reset winding in switching transformer were removed, but these converters must operate at frequency modulation and output filter is not optimum. The aim of this paper is to introduce a simple snubber cell for dc/dc PWM two-switch forward converter. The proposed improved two-switch zero-current zero-voltage switching pulse-width modulation (ZCZVS-PWM) forward converter is depicted in Fig. 1. The ZCZVS technique in this paper is provided by a snubber cell. The snubber cell consists of a resonant inductor Lr, a resonant capacitor Cr and two diodes Dr and D. The switch Q1 in the proposed converter is turned ON under ZCS, and Q2 is turned ON under ZCZVS, IET Power Electron., 2014, Vol. 7, Iss. 4, pp. 1016–1023 doi: 10.1049/iet-pel.2013.0455 www.ietdl.org Fig. 1 Proposed two-switch ZCZVS-PWM forward converter and both switches are turned off under ZVS condition without voltage spikes. To simplify the steady-state analysis of the circuit given in Fig. 1 during one-switching cycle, it is assumed that input and output voltages and output current are constant, and semiconductor devices and resonant circuit are ideal. Section 2 presents the principle of circuit operation and analysis of the proposed converter. The converter design procedure is given in Section 3. In Section 4, experimental results for a 160 W (32 V/5 A) proposed converter operating at 300 KHz switching frequency are given. Finally, in Section 5, the conclusions and discussions are presented. 2 Operation principles and analysis Seven stages occur within one-switching cycle in the steady-state operation of the proposed converter. The main theoretical waveforms of the proposed forward converter are shown in Fig. 2. The equivalent circuit schemes of these operation stages are given in Figs. 3a–g, respectively. At earlier moment of t = t0, the equations vCr (t) = Vs and iLr (t) = iLd (t) = 0 are valid. Stage 1 [t0, t1: Fig. 3a]: At the beginning of this stage, the switches Q1 and Q2 are off and the free-wheeling diode D2 is in the on state and conducts the load current Io. At t = t0, both the switches Q1 and Q2 are turned on by an external gate driver circuit, and Q1 turns on under exactly ZCS through leakage inductor Ld, and Q2 turns on under exactly ZCZVS. The clamping diodes Dm1 and Dm2 are reverse biased and hence their currents iDm1 (t) and iDm2 (t) are zero. Since vCr (t) = Vs , the diode Dr turns on under ZVZCS at t = t0, and the resonance between Cr and Lr occurs, and resonant capacitor Cr begins to discharge on the resonant inductor Lr and iLr (t) increases. The voltage across the leakage inductance is Vs. The current through the leakage inductance and rectifier diode D1 rises and the iD2 (t) falls from Io to zero at t = t1 given by iLd (t) = iQ2 (t) = Vs (t − t0 ) Ld nV iD1 (t) = s (t − t0 ) Ld iD2 (t) = Io − nVs (t − t0 ) Ld (1) voltage vCr (t) can be written as follows in this interval. Vs sin vr (t − t0 ) Zr (4) vCr (t) = Vs cos vr (t − t0 ) (5) iLr (t) = where the characteristic impedance Zr is Lr Zr = Cr (6) and the resonant frequency ωr is given by vr = 1/ Lr Cr (7) (2) So the current through the switch Q1 is (3) The resonant inductance current iLr (t) and the resonant capacitor IET Power Electron., 2014, Vol. 7, Iss. 4, pp. 1016–1023 doi: 10.1049/iet-pel.2013.0455 Fig. 2 Theoretical waveforms iQ1 (t) = Vs V (t − t0 ) + s sin vr (t − t0 ) Ld Zr (8) At t = t1, the current through the switch Q2 reaches Io/n and the 1017 & The Institution of Engineering and Technology 2014 www.ietdl.org Fig. 3 Equivalent circuit schemes of the operation stages in the proposed converter 1018 & The Institution of Engineering and Technology 2014 IET Power Electron., 2014, Vol. 7, Iss. 4, pp. 1016–1023 doi: 10.1049/iet-pel.2013.0455 www.ietdl.org free-wheeling diode D2 turns off with almost ZCZVS and this stage finishes. The duration of this time interval is Dt1 = t1 − t0 = Io L d nVs VCr (t1 ) Zr sin vr (t − t1 ) + iLr (t1 ) cos vr (t − t1 ) (10) vCr (t) = VCr (t1 ) cos vr (t − t1 ) − iLr (t1 ) Zr sin vr (t − t1 ) (11) iQ1 (t) = Io + iLr (t) n (12) Dtx1 = tx1 − t1 = VCr (t1 ) 1 tan−1 Zr ILr (t1 ) vr Dt3 = DTs − Dt2 − Dt1 At t = t2, vCr (t) reaches to − Vs and the resonant inductor current iLr (t) decreases from its peak value Vs/Zr, and falls to zero, and then resonant diode Dr turns off under exactly ZVZCS. The resonant currents iLr (t), iQ1 (t) and the resonant voltage vCr (t) are given as V iLr (t) = s cos vr (t − tx1 ) Zr (14) vCr (t) = −Vs sin vr (t − tx1 ) (15) iQ1 (t) = Io + iLr (t) n (16) Dt2 = t2 − t1 = Dtx1 + Dtx2 = p − Dt1 vr iLr (t) = iDr (t) = 0 IET Power Electron., 2014, Vol. 7, Iss. 4, pp. 1016–1023 doi: 10.1049/iet-pel.2013.0455 (19) (23) nVs Cr Io (24) Stage 5 [t4, t5:Fig. 3e ]: At t = t4, the diode D2 starts to conduct and the resonance between leakage inductance Ld and capacitor Cr begins. During this stage, the current iLd (t) decreases from its peak value and charges vCr (t) from zero. The resonant current starts the power rectifiers commutation, so that D1 current drops while D2 current rises. The resonant currents iLd (t)and resonant voltage vCr (t) are given as ILd (t) = Io cos vd (t − t4 ) n (25) vCr (t) = Io sin vd (t − t4 ) nZd (26) where Ld Zd = Cr (18) Stage 3[t2, t3:Fig. 3c]: This stage is on state of the conventional two-switch PWM forward converter and power transfer process occurs from source to load. During this stage, the voltage across the leakage inductance is Vs and it is linearly charged by the input voltage source. The currents iLr (t), iQ1 (t), iQ2 (t) and resonant voltage vCr (t) are given as Io (t − t3 ) − Vs nCr Dt4 = t4 − t3 = (17) At t = t2 , iQ1 (t) = Io /nand this stage finishes. The time interval of this stage is given as (22) This stage ends at time t = t4, when the voltage across resonant capacitor Cr is discharged by reflected load current completely and falls to zero, and allowing diode D2 starts to conduct. The time interval of this stage is as The time interval Δtx2 is p Dtx2 = t2 − tx1 = 2.vr (21) where D is the duty cycle of control signal and Ts = 1/fs is the switching period. fs is the switching frequency. Stage 4 [t3, t4:Fig. 3d ]: Since the resonant capacitor Cr is precharged to − Vs from stage 2, the power switches Q1 and Q2 turn-off under ZVS condition at t = t3, then reflected load current Io/n forces the snubber diode D on. During this stage, the voltage across Cr is discharged by reflected load current and the energy stored in Cr is released to the load side. Negative voltage across Cr keeps the diode D1 on. As the voltage across Cr decreases, the voltage across the switches increases. The resonant capacitor voltage vCr (t) for this interval is derived as vCr (t) = (13) (20) At t = t3, the switches Q1 and Q2 turn-off under ZVS condition because of capacitor charge, and resonant diode D turns on under ZVS and this stage finishes. The time interval Δt3 of this stage is written as The time interval Δtx1 is Io n vCr (t) = −Vs (9) Stage 2 [t1, t2:Fig. 3b]: During this stage, the switches Q1, Q2 and diodes D1, Dr are on, and another diodes are off. The voltage across the leakage inductance is Vs and the leakage inductance is linearly charged by the input voltage source. The switch current iQ2 (t)equals Io/n and iD1 (t) = Io . At t = t1 the resonance between Cr and Lr continues in stage 1, and the resonant capacitor voltage vCr (t) decreases and iLr (t) increases fastly. At t = tx1, vCr (t) falls to zero and iLr (t) reaches to its peak value Vs/Zr. The resonant currents iLr (t), iQ1(t) and the resonant voltage vCr (t) are given as iLr (t) = iQ1 (t) = iQ2 (t) = (27) and 1 vd = Ld Cr (28) This stage ends at time t = t5 when the voltage across each switch and vCr (t) equals Vs thus turning on the clamping diodes Dm1 and Dm1 under ZVZCS and snubber diode D 1019 & The Institution of Engineering and Technology 2014 www.ietdl.org turns OFF under exactly ZVZCS. The time interval of this stage is as Dt5 = 1 arcsin vd nVs Zd Io (30) nV ID1 (t) = niDm1 (t) = − s (t − t5 ) + nILd (t5 ) Ld (31) Vs (33) DC voltage transfer function Referring to the voltage waveform of the output inductor in Fig. 2 and applying volt–second balance, we have Vs −V n IQ 2(max ) = Io(max ) n (38) The maximum reverse voltages across the power diodes D1 and D2 are almost the same as a standard hard-switching forward converter design and given by D1 (max )′ =V D2 (max )′ = Vs n (39) The maximum value of the currents through the power diodes is (40) Design the snubber parameters 3.3.1 Snubber capacitor: The snubber capacitor is designed to control dv/dt of the drain-to-source voltage of the power switches. When the main switches turn-off, it provides an alternative path for the leakage inductance current to reduce switching turning-off losses and dv/dt EMI noises. High-frequency response capacitor with low equivalent series resistance is required. The capacitor Cr in proposed converter is mainly responsible for ZVS turn-off of power switches. Thus, the discharging time of Cr should be larger than the fall time of the switch to ensure proper ZVS turn-off of the switch. During stage 4, the switches Q1 and Q2 turn-off and the current Io/n flows through snubber diode D to discharge Cr to leakage inductance. During this stage, capacitor discharges linearly. Thus Δt4 = tZVS is time that Cr discharges completely from the value −Vs to zero. To ensure proposed ZVS turn-off of the switches, discharge time tZVS is taken to be approximately three-times the fall time tf of switches. The snubber capacitor is derived as Cr = (Dt1 + Dt2 + Dt3 ) Io( max ) (3t ) nVs( min ) f (41) o (Vo )(Dt4 + Dt5 + Dt6 + Dt7 ) (34) Assuming that the time duration of stages 1 and 4 is very small in comparison with those of stages 2, 3, 5, 6 and 7, the dc voltage transfer function is approximately V D M= o s Vs n 3.2 During stage 2, the maximum value of the current through the power switch Q2 is 3.3 3 Design two-switch ZCZVS-PWM forward procedure (37) (32) Stage 7 [t6, t7:Fig. 3g ]: This stage at t = t6 starts when the current of free-wheeling diode iD2 (t)arrives to the load current Io. This stage is off-state of the conventional PWM forward converter. At t = t7, one-switching cycle is completed and another switching cycle begins. 3.1 Io(max ) Vs + n Zr ID1 (max ) = ID2 (max ) = Io(max ) This stage ends at time t = t6 when iD2 (t) arrives to load current Io, and diodes D1, Dm1 and Dm1 turn of under ZVZCS condition. The time interval of this stage is as ILd (t5 )Ld 1 V V ILd (t) = iDm1 (t) = iDm2 (t) = − s (t − t5 ) + ILd (t5 ) Ld nV ID2 (t) = Io − niDm1 (t) = Io + s (t − t5 ) − nILd (t5 ) Ld IQ (max ) = (29) Stage 6 [t5, t6:Fig. 3f ]: At t = t5, the clamping diodes Dm1 and Dm1 turn-on and transformer starts with the beginning of reset and iLd (t) decreases. During this stage, the voltage across each switch and vCr (t) equals Vs, the current of free-wheeling diode iD2 (t) rises and the current of rectifier diode iD1 (t) falls simultaneously and linearly. The currents iLd (t), iDm1 (t), iDm2 (t), iD1 (t) and iD2 (t) are given as Dt6 = t6 − t5 = During stage 2, the maximum value of the current through the power switch Q1 is =V Q2 (max ) = Vs 1020 & The Institution of Engineering and Technology 2014 1 (2pfr )2 .Cr (42) 3.3.3 Snubber diodes: During stage 1, the maximum value of the current through the snubber diode Dr is During stage 4, the maximum off-state voltage appearing across power switches is almost the same as a standard hard-switching two-switch forward converter design and given by Q1 (max ) Lr = (35) Design power switches and power diodes V 3.3.2 Snubber inductor: In order to minimise the influence of the resonant parameters and to easily achieve ZVS turning-OFF for power switch, we selected fs/fr = 0.14. Thus, we can obtain the resonant inductor Lr as follows (36) Vs (max ) Zr The maximum reverse voltage across the Dr is ID (max ) = (43) VD (max ) = Vs(max ) (44) r r IET Power Electron., 2014, Vol. 7, Iss. 4, pp. 1016–1023 doi: 10.1049/iet-pel.2013.0455 www.ietdl.org During stage 4, the maximum value of the current through the snubber diode D is ID (max ) = Io(max ) n output filter can be selected using the traditional hard-switching forward converter design method [20] as follows (45) n= The maximum reverse voltage across the D is VD(max ) = Vs(min ) 4 (46) Experimental result The ZVZCS PWM forward converter is designed for the following specifications: † † † † † † Maximum output power: Po = 160 W; Output voltage: Vo = 32 VDC; Maximum input voltage: Vs = 180 VDC; Minimum input voltage: Vs = 120 VDC; Nominal input voltage: Vs = 150 VDC; Switching frequency = fs = 300 kHz. 4.1 Design transformer and output filter Although the lossless snubber cell is present in the two-switch PWM forward converter, the transformer turns ratio and n1 hVs(min ) Dmax = = 1.62 n2 V◦ where η is the efficiency of converter, and we assumed that η = 0.9. Dmax is the maximum value of the duty cycle and Dmax = 0.48 is selected with reference to [21]. Ferrite EE30 core is selected as a core of power transformer. The filter inductance Lf and filter Cf capacitor are designed like a regular PWM forward converter. Voltage output ripple and current output ripple must not exceed 1 and 20%, respectively. LF . . Vo (1 − D) DILF .f 1−D , DV 8.LF . o .f 2 Vo LF = 150 mH, CF CF = 4.7 mF Using the design procedure discussed in the previous section, the following components were selected: † Power switches Q1 and Q2: IRF640; † Power diodes D1 and D2: HER605; Fig. 4 Complete circuit of the implemented prototype IET Power Electron., 2014, Vol. 7, Iss. 4, pp. 1016–1023 doi: 10.1049/iet-pel.2013.0455 1021 & The Institution of Engineering and Technology 2014 www.ietdl.org Fig. 5 Voltage and current of the switch Q1, vQ1(t) = 100 V/div, iQ1(t) = 5 A/div, VGS(t) = 20 V/div, time:0.5 μs/div Fig. 6 Voltage and current of the switch Q1, vQ2(t) = 100 V/div, iQ2(t) = 5 A/div, VGS(t) = 20 V/div, time:0.5 μs/div † Snubber diodes Dr and D: HER604; † Output inductor LF = 150 μH: ferrite EI28 core/60 turns/2 mm air gap length; † Snubber capacitor Cr = 1 nF/250 V; † Snubber inductor Lr = 6 μH, ferrite EE10 core/10turns/0.1 mm air gap length. † Filter capacitor CF = 4.7 μF/60 V. Fig. 8 Leakage inductance current and voltage across resonance capacitor, vCr ( t): 100 V/div, iLd ( t): 3 A/div, time:0.5 μ/div Fig. 9 Current of diode D and voltage across resonance capacitor, vCr ( t): 100 V/div, iD(t): 2 A/div, time:0.5 μ/div PWM controller is applied to HIP2500. TL494 used for control output voltage, and produces PWM pulse signal. The HIP2500 is high-voltage, high-speed power MOSFET driver with independent high- and low-side referenced output channels. The output pulse of HO pin of HIP2500 is applied to gate of switch Q2 and LO pin is applied to gate of switch Q1. The complete prototype circuit diagram of the proposed converter is shown in Fig. 4. The control system implemented by two main IC and they are TL494 and HIP2500. The output pulse of the TL494 Fig. 7 Resonant inductance current and voltage across resonance capacitor, vCr ( t): 100 V/div, iLr ( t): 2 A/div, time:0.5 μ/div 1022 & The Institution of Engineering and Technology 2014 Fig. 10 Efficiency of the proposed converter (continuous line) and hard-switching counterpart (broken line) against output power IET Power Electron., 2014, Vol. 7, Iss. 4, pp. 1016–1023 doi: 10.1049/iet-pel.2013.0455 www.ietdl.org Figs. 5–9 have shown some obtained experimental results of the prototype proposed converter. It can be seen that the experimental waveforms are closed to theoretical waveform, and confirming the soft-switching without voltage and current spikes. Fig. 5 has shown voltage and current of the switch Q1, and Fig. 6 has shown voltage and current of the switch Q2. In Figs. 5 and 6, it can be noticed that Q1 and Q2 operate in ZCS and ZCZVS turn-on, and both of them operate in ZVS turn-off, and it can also be noticed that they do not have any voltage and current spikes in switching state. Fig. 7 has shown voltage across resonant capacitor vCr (t) and resonant inductance current iLr (t); Fig. 8 has shown voltage across resonant capacitor vCr (t) and the leakage inductance current iLd (t); and Fig. 9 has shown voltage across resonant capacitor vCr (t) and the diode D current iD(t). The efficiency curve of the proposed converter against output power is shown in Fig. 10. Note that the proposed converter has 91% efficiency in full load, and also has high efficiency in light load. 5 Conclusion In this paper, an improved two-switchZCZVS-PWM forward converter that employs a simple snubber circuit that overcomes most of the drawbacks of the normal PWM forward converter is proposed. In the proposed converter, the switches Q1 and Q2 operate at ZCS and ZCZVS turn-on respectively and both of them operate at ZVS turn-off, and the all-passive semiconductor devices operate at soft-switching turn-on and turn-off. This new converter has no additional current and voltage spikes of the main switches, and it is suitable for high switching frequency and high-power operation. A PWM ZCZVS two-switch forward converter has been analysed in detail. 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