Page 206 - Rashid, Power Electronics Handbook
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12  Three-Phase Controlled Recti®ers                                                                195

                         +              +
                        v D       Firing angle:a
                                                                           v L               dead time
                                                                                   +              -
                                                                                  v D            v D
                                        -
                         -        Firing angle:a = 180° - a +
                       v D









                                                                      FIGURE 12.33  Cycloconverter operation: (a) voltage waveform; and (b)
                                                         w
                                                                      current waveform for inductive load.
                 FIGURE 12.32  Waveform of circulating current: (a) instantaneous dc
                 voltage from positive converter; (b) instantaneous dc voltage from  requirements. Control speed of large synchronous motors in
                                                            ÿ
                 negative converter; (c) voltage difference between n þ  and n , n r , and
                                                      D     D         the low-speed range is one of the most common applications
                 circulating current i r .                            of three-phase cycloconverters. Figure 12.34 is a diagram of
                                                                      this application. They are also used to control slip frequency in
                 differences, given by voltage n , are not producing the circulat-  wound rotor induction machines, for supersynchronous
                                         r
                 ing current i , which is superimposed with the load currents  cascade (Scherbius system).
                            r
                  þ
                         ÿ
                 i , and i .
                  D      D
                   To avoid the circulating current i , it is possible to imple-  12.2.14 Harmonic Standards and Recommended
                                               r
                 ment a ‘‘circulating current free'' converter if a dead time of a  Practices
                 few milliseconds is acceptable. The converter section not
                 required to supply current remains fully blocked. When a  In view of the proliferation of power converter equipment
                 current reversal is required, a logic switch-over system deter-  connected to the utility system, various national and interna-
                 mines at ®rst the instant at which the conducting converter's  tional agencies have been considering limits on harmonic
                 current becomes zero. This converter section is then blocked
                 and the further supply of gating pulses to it prevented. After a
                 short safety interval (dead time), the gating pulses for the
                 other converter section are released.



                 12.2.13 Cycloconverters
                                                                                        POWER
                 A different principle of frequency conversion is derived from        TRANSFORMERS
                 the fact that a dual converter is able to supply an ac load with a
                 lower frequency than the system frequency. If the control
                 signal of the dual converter is a function of time, the output
                 voltage will follow this signal. If this control signal value alters
                 sinusoidally with the desired frequency, then the waveform
                 depicted in Fig. 12.33a consists of a single-phase voltage with a
                 large harmonic current. As shown in Fig. 12.33b, if the load is
                 inductive, the current will present less distortion than voltage.
                   The cycloconverter operates in all four quadrants during a
                 period. A pause (dead time) at least as small as the time
                 required by the switch-over logic occurs after the current
                 reaches zero, that is, between the transfer to operation in the
                 quadrant corresponding to the other direction of current ¯ow.
                   Three single-phase cycloconverters may be combined to
                 build a three-phase cycloconverter. The three-phase cyclocon-
                 verters ®nd an application in low-frequency, high-power  FIGURE 12.34  Synchronous machine drive with a cycloconverter.
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