Physics:Periodic steady-state analysis

Periodic Steady-State Analysis (PSS analysis) computes the periodic steady-state response of a circuit at a specified fundamental frequency, with a simulation time independent of the time constants of the circuit. The PSS analysis also determines the circuit's periodic operating point which is required starting point for the periodic time-varying small-signal analyses: PAC, PSP, PXF, and Pnoise. The PSS analysis works with both autonomous and driven circuits. PSS is usually used after transient analysis.

Examples

The current through a capacitance of value C in time domain is $i(t)=C\frac{dv(t)}{dt}$, which becomes $v(t)=v(t_0)+\frac{1}{C}\underset{t_0}{\overset{t_0+t}{\int }}i(t)dt$ . For this component operating in a periodic steady state circuit, its voltage will be $v(t_0+T)=v(t_0)$ when T is equal to its fundamental period. Referring back to the original voltage function $v(t)=v(t_0)+\frac{1}{C}\underset{t_0}{\overset{t_0+t}{\int }}i(t)dt$, it can be determined that the average current flowing through the capacitor is zero in periodic steady state.