An Extension of Parseval´s Theorem and Its Use in Calculating Transient Energy in the Frequency Domain

The paper first presents an analysis which leads to an equation useful for calculating energy in the frequency domain. The equation is seen to be an extension of Parseval´s theorem and is very useful for calculating the energy content of pulses that are difficult to treat in the time domain. An algorithm based on the equation has been programmed in Fortran. The details of the algorithm and the program were presented elsewhere [1]; only a few details are discussed in this paper. Finally, an application of the method to the calculation of transient energy in power distribution networks is discussed.