Steady state symbolic analysis of buck converter using fourier series

Steady state analysis is fundamental to give the first observation in circuit design. Buck converter driven by switching has complexity that the circuit topology changes as switching. In this paper a steady state analysis of buck converter is proposed which allows the exact calculation of steady state response. Proposed method uses Fourier series and a recovery function to express steady state output. It calculates infinite series of Fourier series by replacing with recovery function. Comparison between the proposed method and numerical simulation shows that the analysis gives consistent result with steady state of simulation including the non-linear ripple. Our method copes with more complex calculation problems such as average power and root-mean-square power which are most crucial issues in power electronics.