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This paper introduces the application of a new method based on Fourier series expansion, to derive the frequency response of a thyristor controlled series capacitor (TCSC). The theory and the numerical approach are presented and the results are reported. Although this method is solely applied to the TCSC device in this context, it is completely general and may well be applied to any type of switched power devices. The analysis slows the behavior of a TCSC at frequencies other than fundamental frequency. Such information is very important for sub-synchronous resonance (SSR) as well as other harmonic related studies.

This paper presents a new method to eliminate harmonics drawn by a twelve-pulse rectifier through modulation of the dc bus. A PWM converter with low ratings is inserted in the dc link and controlled in a fashion that results in sinusoidal currents at the input. The bulk of the power transfer is handled by the diode bridges, while the additional PWM converter deals only with a ripple voltage.Circuit implementations applicable for series and parallel connections of the two constituent six-pulse sections are described. The proposed approach offers a low-cost alternative to PWM rectifiers or 18-pulse rectifiers. Operation of the circuit is verified through computer simulations.

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