Periodic steady-state analysis of electrical circuits in the extended state-space

This paper presents algorithms for the calculation of periodic steady state responses (PSR) including the advantages of the extended state approach (ESA). The quick search of PSR is outlined for both, the non-autonomous and the autonomous case and for circuits containing delaying devices like transmission lines as well. The presented theory of PSR is verified by two well-known examples of literature: the Cuk-converter and the Colpitts-oscillator. Another example demonstrates the enormous short computation time of ESA in connection with electrical circuits consisting of many transmission lines.