Transient analysis of three-phase power systems, part I

Clarke Transform Based Fast Assessment of Switching Overvoltages in an MV Distribution Network

“…If the network is solved analytically, so that an expression for all the sequence quantities is available in operational form (as a steady-state sinusoidal term plus a number of exponentially decaying terms [14]), then the aforementioned multiplications can be accomplished by separately applying the operators to each component. On the contrary, if the sequence quantities are available simply as an array of numerical values (as is the case if circuit simulation software is employed), apart from a few special cases there is no way to get the phase quantities back from sequence quantities [15]. This problem can be overcome by using a transform defined by a real-valued transformation matrix, such as the Clarke transform [16].…”