The use of trapezoid waveforms within converters for HVDC

The Controlled Transition Bridge (CTB) is a converter topology that combines series connected semiconductor “director switches” with chains of switched capacitor modules, chainlink circuits, in such a way that the director switches carry the main current for a significant portion of the period and the chainlink elements provide a controlled traverse of voltage between different director switches conducting. The simplest example of this is where the director switches form a six pulse bridge and the chainlink elements traverse at a constant rate between the upper director switch conducting and the lower director switch conduction etc., so that the output AC waveform is a trapezoid. The use of a trapezoid waveform reduces the level of super harmonics significantly and with a star delta transformer to remove the “triple N” harmonics, the total harmonic distortion is reduced, but not sufficiently for use in HVDC application. The use of filtering is undesirable because of the VARs they introduce and while active filtering can be used there are control difficulties that need to be overcome, so a two slope trapezoid waveform is proposed in which the slope characteristics are chosen specifically to minimise a wide range of harmonics for a given fundamental magnitude. For this a cost function is derived that includes the functions of the harmonics being considered and a search is carried out using standard algorithms such as Newton-Raphson, to minimise its value within a given region. Modelling is used to demonstrate that the resulting primary THD would meet the requirements for VSC HVDC operation.