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15  Resonant and Soft-Switching Converters                                                          273

                                                                      duration. The objective of this type of switch is to shape the
                                Lr                          Lr        switch current waveform during conduction time in order to
                                                                      create a zero-current condition for the switch to turn off [13].
                                   Cr
                        S                           S
                                                        Cr
                                                                      15.3.2 ZV Resonant Switch
                             (a)                        (b)
                                                                      In a ZV resonant switch, a capacitor C is connected in parallel
                    FIGURE 15.3  Two types of zero-current (ZC) resonant switch.                     r
                                                                      with the switch S for achieving zero-voltage-switching (ZVS).
                                                                      If the switch S is a unidirectional switch, the voltage across the
                 circuit, which usually consists of an LC resonant circuit, for  capacitor C can oscillate freely in both positive and negative
                                                                               r
                 forcing the current to zero in the turn-off process [1]. This  half-cycle. Thus, the resonant switch can operate in full-wave
                 mechanism is in fact a type of zero-current turn-off process.  mode. If a diode is connected in antiparallel with the unidir-
                 With recent advancements in semiconductor technology, the  ectional switch, the resonant capacitor voltage is clamped by
                 voltage and current handling capability and the switching  the diode to zero during the negative half-cycle. The resonant
                 speed of fully controllable switches have improved signi®-  switch will then operate in half-wave mode. The objective of a
                 cantly. In many high-power applications, controllable switches  ZV switch is to use the resonant circuit to shape the switch
                 such as GTOs and IGBTs have replaced thyristors [2, 3].  voltage waveform during off time in order to create a zero-
                 However, the use of a resonant circuit for achieving zero-  voltage condition for the switch to turn on [13].
                 current-switching (ZCS) and=or zero-voltage-switching (ZVS)
                 [4 – 8] has also emerged as a new technology for power
                 converters. The concept of resonant switch to replace a  15.4 Quasi-Resonant Converters
                 conventional power switch is introduced in this section.
                   A resonant switch is a subcircuit composed of a semicon-
                                                                      Quasi-resonant converters (QRCs) can be considered a hybrid
                 ductor switch S and resonant elements L and C [9 – 11].
                                                     r     r          of resonant and PWM converters. The underlying principle is
                 Switch S can be implemented by a unidirectional or bidirec-
                                                                      to replace the power switch in PWM converters with the
                 tional switch, which determines the operation mode of the
                                                                      resonant switch. A large family of conventional converter
                 resonant switch. Two types of resonant switches [12], includ-  circuits can be transformed into their resonant converter
                 ing zero-current (ZC) resonant switch and zero-voltage (ZV)  counterparts. The switch current and=or voltage waveforms
                 resonant switches, are shown in Fig. 15.3 and Fig. 15.4,  are forced to oscillate in a quasi-sinusoidal manner, so that ZCS
                 respectively.                                        and=or ZVS can be achieved. Both ZCS-QRCs and ZVS-QRCs
                                                                      have half-wave and full-wave modes of operation [8 – 10, 12].
                 15.3.1 ZC Resonant Switch
                                                                      15.4.1 ZCS-QRCs
                 In a ZC resonant switch, an inductor L is connected in series
                                                 r
                 with a power switch S in order to achieve zero-current-switch-  A ZCS-QRC designed for half-wave operation is illustrated
                 ing (ZCS). If the switch S is a unidirectional switch, the switch  with a buck-type dc-dc converter. The schematic is shown in
                 current is allowed to resonate in the positive half-cycle only.  Fig. 15.5a. It is formed by replacing the power switch in a
                 The resonant switch is said to operate in half-wave mode. If a  conventional PWM buck converter with the ZC resonant
                 diode is connected in antiparallel with the unidirectional  switch in Fig. 15.3a. The circuit waveforms in steady state
                 switch, the switch current can ¯ow in both directions. In this  are shown in Fig. 15.5b. The output ®lter inductor L is
                                                                                                                     f
                 case, the resonant switch can operate in full-wave mode. At  suf®ciently large so that its current is approximately constant.
                 turn-on, the switch current will rise slowly from zero. It will  Prior to turning the switch on, the output current I free-
                                                                                                                   o
                 then oscillate because of the resonance between L and C .  wheels through the output diode D . The resonant capacitor
                                                                  r
                                                            r
                                                                                                   f
                 Finally, the switch can be commutated at the next zero current  voltage V Cr  equals zero. At t , the switch is turned on with
                                                                                              0
                                                                      ZCS. A quasi-sinusoidal current I ¯ows through L and C ,
                                                                                                                 r
                                                                                                  S
                                                                                                                       r
                                                                      the output ®lter, and the load. Then S is softly commutated at
                                  Lr                           Lr     t with ZCS again. During and after the gate pulse, the
                                                                       1
                                                                      resonant capacitor voltage V Cr  rises and then decays at a
                             Cr                                       rate depending on the output current. Output voltage regula-
                       S                            S                 tion is achieved by controlling the switching frequency. Opera-
                                                     Cr
                                                                      tion and characteristics of the converter depend mainly on the
                             (a)                        (b)
                                                                      design of the resonant circuit L ÿ C . The following para-
                                                                                                     r
                                                                                                 r
                    FIGURE 15.4  Two types of zero-voltage (ZV) resonant switch.  meters are de®ned: voltage conversion ratio M, characteristic
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