Page 172 - Rashid, Power Electronics Handbook
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10  Diode Recti®ers                                                                                 161

                 the assumption that transformer T effectively has no leakage  MOS transistor Vð3Þ is found to be acceptable. However, there
                                              1
                 inductance (with coupling coef®cient K ¼ 0:99999999).  are still large ringing voltages across the output recti®ers
                 However, it is found that when a practical transformer  (Vð6; 9Þ and Vð9Þ).
                 (having a slightly lower K) is used, severe ringings occur.  To damp the ringing voltages across the output recti®ers,
                 Fig. 10.32 shows some simulation results to demonstrate this  additional snubber circuits across the recti®ers may therefore
                 phenomenon and the following assumptions are made:   also be required in a practical circuit, as will be described in
                                                                      what follows.
                      D and D are MBR2540 Schottky diodes and D M  is an
                       R
                              F
                      MUR460 ultra fast diode;
                      M is an IRF640 MOS transistor;                  10.6.1.6 Practical Circuit
                        1
                      transformer T has a practical coupling coef®cient of
                                  1
                      0.996;                                          Fig. 10.35 shows a practical forward converter also with
                                                                      snubber circuits added to recti®ers (R C for D and R C
                      the effective winding resistance of L  is 0:1 O, the                            2  2    R      3  3
                                                      P
                      effective winding resistance of L  is 0:4 O, and the  for D ) to reduce voltage ringing. Figs. 10.36 and 10.37 show
                                                                          F
                                                  M
                      effective winding resistance of L is 0:01 O;    the resultant voltage and current waveforms. Fig. 10.36 is for
                                                S
                      the effective series resistance of the output ®ltering  continuous-mode operation (R ¼ 0:35 O), where IðL Þ
                                                                                                                       1
                                                                                                  L
                                                                      (current in L ) is continuous. Figure 10.37 is for discontin-
                      capacitor is 0:05 O; and                                   1
                                                                      uous-mode operation (R ¼ 10 O), where IðL Þ becomes
                      the switching operation of the converter has reached a                L                  1
                                                                      discontinuous due to an increased value of R . These wave-
                      steady state.                                                                         L
                                                                      forms are considered to be acceptable.
                 The resultant waveforms shown in Fig. 10.32 indicate that  The design considerations of diode recti®er circuits in high-
                 there are large voltage and current ringings in the circuit.  frequency converters will be discussed later in Section 10.6.3.
                 These ringings are caused by the resonant circuits formed by
                 the leakage inductance of the transformer and the parasitic
                 capacitances of the diodes and the transistor.       10.6.2 Flyback Rectifier Diode and Clamping
                   Therefore, a practical converter may need snubber circuits  Diode in a Flyback Converter
                 to damp these ringings, as will be described in what follows.
                                                                      10.6.2.1 Ideal Circuit
                 10.6.1.5 Circuit with Snubber Across Transformer     Fig. 10.38 shows the basic circuit of a ¯yback converter. Due to
                                                                      its simple circuit, this type of converter is widely used in low-
                 To suppress the ringing voltage caused by the resonant circuit
                                                                      cost low-power applications. Discontinuous-mode operation
                 formed by transformer leakage inductance and the parasitic
                 capacitance of the MOS switch, a snubber circuit, shown as R 1  (meaning that the magnetizing current in the transformer falls
                 and C in Fig. 10.33, is now connected across the primary  to zero before the end of each switching cycle) is often used
                       1
                 winding of transformer T . The new waveforms are shown in  because it offers the advantages of easy control and low diode
                                      1
                 Fig. 10.34. Here the drain-to-source voltage waveform of the  reverse-recovery loss. Fig. 10.39 shows the idealized steady-
                                                                      state waveforms for discontinuous-mode operation. These
                                                                      waveforms are obtained from PSpice simulations, based on
                                                                      the following assumptions:
                                                                          D   is an idealized recti®er diode with in®nitely fast
                                                                            R
                                                                          switching speed;
                                                                          M 1  is an idealized MOS switch with in®nitely fast
                                                                          switching speed, with on-state resistance of 0:067 O;
                                                                          and off-state resistance of 1 MO;
                                                                          transformer T has a coupling coef®cient of 0.99999999;
                                                                                      1
                                                                          and
                                                                          the switching operation of the converter has reached a
                                                                          steady state.
                 FIGURE 10.33  Forward converter with snubber circuit (R 1 C 1 ) across
                                                                      Referring to the circuit shown in Fig. 10.38 and the waveforms
                 transformer:  V IN ¼ 50 V;  D M ¼ MUR460;  D R ¼ MBR2540;
                                                                      shown in Fig. 10.39, the operation of the converter can be
                 D F ¼ MBR2540;  M 1 ¼ IRF640;  R 1 ¼ 24 O;  C 1 ¼ 3000 pF;
                                                                      explained as follows:
                 C L ¼ 3500 mF; ESR of C L ¼ 0:05 O; L 1 ¼ 8 mH; L P ¼ 0:576 mH;
                 L M ¼ 0:576 mH; L S ¼ 0:036 mH; N P : N M : N S ¼ 4 : 4 : 1; R L ¼ 0:35 O;  1. For 0 < t < DT
                 effective winding resistance of L P ¼ 0:1 O; effective winding resistance of
                 L M ¼ 0:4 O; effective winding resistance of L S ¼ 0:01 O; and coupling  The switch M is turned on at t ¼ 0 and Vð3Þ¼ 0 for
                                                                                       1
                 coef®cient k ¼ 0:996.                                      0 < t < DT.
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