Periodic steady-state analysis explained

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

	dv(t)
	dt

, which becomes

v(t)=v(t₀₎+

	1
	C

	t₀+t
\int
	t₀

{i(t)dt}

. For this component operating in a periodic steady state circuit, its voltage will be

v(t₀+T)=v(t₀₎

when T is equal to its fundamental period. Referring back to the original voltage function

v(t)=v(t₀₎+

	1
	C

	t₀+t
\int
	t₀

{i(t)dt}

, it can be determined that the average current flowing through the capacitor is zero in periodic steady state.