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13  DC-DC Converters                                                                                221

                                                                      switches in the dc-dc converter. The duty ratio of the PWM
                                                                      signal depends on the value of the control voltage. The
                                                                      frequency of the PWM signal is the same as the frequency of
                                                                      the sawtooth waveform. An important advantage of the
                                                                      voltage-mode control is its simple hardware implementation
                                                                      and ¯exibility.
                                                                        The error ampli®er in Fig. 13.17a reacts fast to changes in
                                                                      the converter output voltage. Thus, the voltage-mode control
                                                                      provides good load regulation, that is, regulation against
                         FIGURE 13.16  Bidirectional ¯yback converter.
                                                                      variations in the load. Line regulation (regulation against
                                                                      variations in the input voltage) is, however, delayed because
                                                                      changes in the input voltage must ®rst manifest themselves in
                 short the input voltage source. As power semiconductor
                                                                      the converter output before they can be corrected. To alleviate
                 devices usually have longer turn-off times than turn-on
                                                                      this problem, the voltage-mode control scheme is sometimes
                 times, a dead time (sometimes called a blanking time) must
                                                                      augmented by a so-called voltage-feedforward path. The
                 be introduced in PWM driving signals.
                                                                      feedforward path affects directly the PWM duty ratio accord-
                   The parallel combination of a controllable switch and a
                                                                      ing to variations in the input voltage. As will be explained in
                 diode is also used in converters, which allow for a current ¯ow
                                                                      what follows, the input voltage feedforward is an inherent
                 in both directions Ð from the input source to the load and
                 from the load back to the input source. Such converters are  feature of current-mode control schemes.
                 called bidirectional power-¯ow or simply bidirectional conver-  The current-mode control scheme is presented in Fig. 13.7b.
                 ters. As an example, a ¯yback bidirectional converter is shown  An additional inner control loop feeds back an inductor
                                                                      current signal, and this current signal, converted into its
                 in Fig. 13.16. It contains unipolar voltage and bidirectional
                                                                      voltage analog, is compared to the control voltage. This
                 current switch-diode combinations at both the primary switch
                                                                      modi®cation of replacing the sawtooth waveform of the
                 and the secondary switch of the ¯yback transformer. When the
                                                                      voltage-mode control scheme by a converter current signal
                 primary switch and secondary diode operate, the current ¯ows
                                                                      signi®cantly alters the dynamic behavior of the converter,
                 from the input source to the load. The converter current can
                                                                      which then takes on some characteristics of a current source.
                 also ¯ow from the output to the input through the secondary
                 switch and primary diode. Bidirectional arrangements can be
                 made for both buck and boost converters. A bidirectional buck
                 converter operates as a boost converter when the current ¯ow
                 is from the output to the input. A bidirectional boost conver-
                 ter operates as a buck converter with a reversed current ¯ow. If
                 for any reason (for instance, to avoid the DCM) the control-
                 lable switches are driven at the same time, they must be driven
                 alternately with a suf®cient dead time.

                 13.9 Control Principles

                 A dc-dc converter must provide a regulated dc output voltage
                 under varying load and input voltage conditions. The conver-
                 ter component values are also changing with time, tempera-
                 ture, pressure, and so forth. Hence, the control of the output
                 voltage should be performed in a closed-loop manner using
                 principles of negative feedback. The two most common
                 closed-loop control methods for PWM dc-dc converters,
                 namely, the voltage-mode control and the current-mode
                 control, are presented schematically in Fig. 13.17.
                   In the voltage-mode control scheme shown in Fig. 13.17a,
                 the converter output voltage is sensed and subtracted from an
                 external reference voltage in an error ampli®er. The error
                 ampli®er produces a control voltage that is compared to a
                 constant-amplitude sawtooth waveform. The comparator  FIGURE 13.17  Main control schemes for dc-dc converters: (a) voltage-
                 produces a PWM signal that is fed to drivers of controllable  mode control; (b) current-mode control.
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