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By Bodgan Wilamowski, J. David Irwin

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Having just one single value Vom for a given To, the output voltage vo repeats itself in each period To. This state is called period-1. Similarly, period-5 state develops, for example, at firing period To = 277 μs. Now, there are five consecutive distinct Vom values. 28). 4 Closed-Loop Control A self-control structure is obtained by applying a feedback control loop. Now, the approximately sinusoidal output voltage vo is compared with a DC control voltage VDC and the thyristors are alternatively fired at the crossing points of the two curves.

There are stable (attracting) and unstable (repelling) LC. 5) having closed trajectory is that the trajectories starting from nearby initial points are attracted by stable limit cycle and sooner or later they end up in the LC, while the trajectories starting from different initial conditions will stay forever in different tracks determined by the initial conditions in the case of center. 6 shows a stable LC together with the Poincaré plane. Here, the dimension is 3. The LC intersects the Poincaré plane at point Pk called Fixed Point (FP).

Each sub-inverter pair works in the same way as it was previously described. 24 The basic configuration of the inverter. 25 Time functions of (a) output voltage vo, output current io, condenser voltage vc, and (b) thyristor voltage v T1 in basic operation. 2 Results One of the most interesting results is that by using an approximate model assuming sinusoidal output voltage, no steady-state solution can be found for the current pulse and other variables in certain operation region and its theoretical explanation can be found in Ref.

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