Expression of transient phenomena at faults on ideal transmission lines by Laguerre functions

The paper presents analytical expressions for transient waveforms at faults on ideal transmission lines, and shows that impulse-like waveforms which intermittently appear in the transient waveforms are Laguerre functions, which are well known orthogonal functions. The transient waveforms for multi-phase transmission lines are also investigated, and it is shown that the expressions for them are also given by Laguerre functions. In addition, a new method of fault location by a correlation filter bank is demonstrated which uses the orthogonality of Laguerre functions.