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off. This sequence is repeated in cyclic order. So, natural or line commutation takes place in this case. Otherwise, the procedure is similar to the one as discussed in the previous lesson.
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l o a d
i (^) P^ i^ N
P 1 P (^3) +
3-phase ac supply
Fig. 30.1: Three-phase to single-phase cycloconverter
i (^) O
3-phase ac supply
The procedure to be followed in the triggering of the thyristors in sequence in the two bridge converters has been briefly given earlier. The readers are requested to go through two lessons (#2.5-2.6) in module 2 (AC-DC Converters), or any standard text book. As given in the earlier lesson (#4.4), the firing angle (α) of two converters is first decreased starting from the initial value of to the final value of , and then again increased to the final value of , as shown in Fig. 30.2. Also, for positive half cycle of the output voltage waveform, bridge 1 is used, while bridge 2 is used for negative half cycle. The two half cycles are combined to form one complete cycle of the output voltage, the frequency being decided by the number of half cycles of input voltage waveform used for each half cycle of the output. As more no. of segments of near
frequency also being reduced. The initial value of firing angle delay is kept at α 1 ≈ 90 °, such the average value (dc) of the
be noted that the next thyristor in sequence is triggered at α 2 < 90 °, as the firing angle is decreased for each segment, to obtain higher voltage Vav ∝ cos α 2 =+ ve , to form the sine wave at the output. This can be observed from the points, M, N, O, P, Q, R & S, shown in Fig. 30.2. From these segments, the first quarter cycle of the output voltage waveform from to , is obtained. The second quarter cycle of the above waveform from to , is obtained, using the segments starting from the points, T, U, V, W, X &Y (fig. 30.2). It may be noted that the firing angle delay at the point, Y is
α = 90 °, and also the firing angle is increased from (T) to (Y) in this interval. When the firing angle delay is , the average value of the segment is
voltage waveform. In this region, the bridge 1 (positive) is used. To obtain the negative half cycle of the output voltage waveform ( − ), the other bridge converter (#2) termed negative (N) is used in the same manner as given earlier, i.e. its firing angle delay (α) is first decreased starting from the initial value of to the final value of , and then again increased
to the final value of , as given earlier. The two half cycles (positive and negative) together give one complete cycle ( − ) of the output voltage waveform.
Fig. 30.2 Output voltage waveforms for a three-phase to single phase cyclo-converter.
Fabricated output voltage Mean output voltage
e (^0)
α = 90° α = 0° (^) α = 90°
θ = ωt
The load on the output of the cyclo-converter is assumed to be inductive (R-L). The load can also be capacitive. For inductive load, the output current (Fig. 30.3) lags behind the voltage by its
noted that the current is unidirectional in a thyristor converter. As the current, being alternating in nature, flows in both directions in a complete cycle, two converters are connected in anti- parallel. The positive (P) converter carries current during positive half cycle of output current, while the other, i.e. negative (N) one carries current in the negative half cycle. As discussed in the previous lesson (#29), P-converter acts as a rectifier, when the output voltage is positive, and as an inverter, when the output voltage is negative (Fig. 30.3). Similarly, N-converter acts as a rectifier, when the output voltage is negative, and as an inverter, when the output voltage is positive. It can thus be inferred, in general, that one of two converters would operate as rectifier, if its output voltage and current have the same polarity, and as an inverter, if these are of opposite polarity.
respectively, then these firing angles must be controlled so as to satisfy the condition
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l o a d
i (^) P^ i^ N
P 1 P (^3) +
3-phase ac supply
Fig. 30.4: Cycloconverter (circulating current mode) with Inter-group(IG) reactor
i (^) O
3-phase ac supply
IG reactor a
b c
The continuous current of each group in the circulating current mode imposes a higher loading on each group compared to the non-circulating current mode of operation. In practice, this mode, i.e. circulating current one, would only be used, when the load current is low, so that continuous load current with a better waveform can be maintained. At the higher levels of load current, the groups would be blocked to prevent circulating current. Control circuits would be used to sense the level of the load current, allowing firing pulses to each group at low current level, but blocking firing pulses to one or the other group at the higher current levels. The reactor would be designed to saturate at higher current levels, when the cyclo-converter is operating in the non-circulating current mode, thus permitting a smaller one.
A three-phase to single-phase cyclo-converter, using two three-phase half-wave converters, is shown in Fig. 30.5. The principle of operation is same here as described earlier. Each thyristor
i.e. 1, 2 & 3, whether it is P-type or N-type. It may be noted that the thyristors, 1, 2 & 3 are connected to the phases, A, B & C, respectively, in series with the load impedance, as shown in Fig. 30.5. The ripple frequency is 150 Hz, three times the input frequency of 50 Hz, as this converter is a three-pulse one. So, the inductance in the inductive (R-L) load must be high, as compared to one used in the earlier case, to make the current continuous. This inductance acts as the filter for the output (load) current. The mode of operation here is non-circulating current one. It may be noted that harmonic content, both in the output voltage and current waveforms, is higher than those present in the earlier case using two three-phase full-wave bridge converters. This is, because six pulses are used in a cycle for the earlier one, the ripple frequency being 300 Hz. Also three thyristors are used in each converter, i.e., a total of only 6 devices for two converters are needed, whereas earlier, six thyristors are used for each bridge converter, needing a total of 12 devices. This means that the cost is much lower, as also the control circuit in this
case is much simpler and cheaper, as only three pulses per each converter are needed. This may be preferred, as only the harmonic content is more, which may not be a demerit in most of the applications. If it is used to drive ac motors, the high impedance at the ripple frequency is expected to make the output current near sinusoidal one, with the result that no additional filtering component is needed. Other conditions, being same, are not described here, and the waveforms also not shown, which is given in standard text book, or may be drawn from the waveforms given in .the earlier case.
o a d
3-phase supply
3-phase supply
Fig. 30.5: Three-phase to single phase cycloconverter (two three-phase half-wave converter)
In this lesson, firstly, the three-phase to single-phase cyclo-converter, using two three-phase full-wave bridge converters, is described, with the circuit and various output voltage and current waveforms. The non-circulating current mode of operation is presented in detail, so as to obtain sinusoidal output voltage waveform. The circulating current mode is briefly discussed, along the change in the circuit. Lastly, the circuit for the same type of cyclo-converter, with two three- phase half-wave converters, is given, stating briefly the differences for this case. In the next lesson, the three-phase to three-phase cyclo-converter will be taken up first. Three such circuits, as described in this lesson, are needed in this case. Lastly, the analysis of the cyclo-converter output wave-forms will be presented.