Cyclostationary Analysis of Electric Power in a Resonant Circuit under Periodic Excitation

This paper presents an example of power analysis in parallel resonant circuit excited by current defined as periodic pulse train. The cyclostationary methodology being developed into approach to the electric power analysis, which consists in exploiting a standard set of cyclostationary characteristics such as cross correlation function and its frequency counterpart – cross spectral correlation density (CSCD). These characteristics make it possible to calculate all commonly used power quantitative measures including instantaneous, apparent and average power, power factor and others. The harmonic power distribution is investigated for the chosen low-Q resonant case. The expression for components of CSCD via current and voltage Fourier series coefficients is obtained using the known frequency response of the circuit under study.