View source for Periodic steady-state analysis

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'''Periodic Steady-State Analysis''' ('''PSS analysis''') computes the periodic steady-state response of a [[electrical circuit|circuit]] at a specified fundamental [[frequency]], with a [[electronic circuit simulation|simulation time]] independent of the [[RC time constant|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 model|small-signal analyses]]: PAC, PSP, PXF, and Pnoise. The PSS analysis works with both [[autonomous circuit|autonomous]] and [[driven circuit|driven]] circuits.
PSS is usually used after [[transient analysis]].

== Examples ==
The current through a [[capacitance]] of value C in [[time domain]] is <math>i(t)= C \frac{dv(t)}{dt} </math>, which becomes <math>v(t) = v(t_0) + \frac{1}{C}\int_{t_0}^{t_0 + t}{i(t)dt} </math> . For this component operating in a periodic steady state circuit, its [[voltage]] will be <math>v(t_0 + T) = v(t_0)</math> when T is equal to its fundamental [[wave period|period]]. Referring back to the original voltage function <math>v(t) = v(t_0) + \frac{1}{C}\int_{t_0}^{t_0 + t}{i(t)dt} </math>, it can be determined that the average [[electric current|current]] flowing through the [[capacitor]] is zero in periodic steady state.
[[Category:Electricity]]
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