Time domain and steady-state sensitivity of periodic switched networks to element changes

Switched periodic networks are widely used in power engineering and sensiti vities of their steady-state to element changes are of interest to the desi gners. The paper develops a method to obtain steady-state sensitivities for networks in which semiconductor and other switching devices are modelled a s ideal short circuits without additional elements. Such modelling has the advantage that switching transients need not be calculated and correct init ial conditions after switching are obtained with only four integration step s. It is also shown that sensitivities need not be calculated during the pr ocess of reaching the steady-state. Once the steady-state is available, int egration over two additional periods is sufficient to provide time domain s teady state sensitivity to the element changes. Copyright (C) 1999 John Wil ey & Sons, Ltd.