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Periodic steady-state analysis

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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 d v ( t ) d t {\displaystyle i(t)=C{\frac {dv(t)}{dt}}} , which becomes v ( t ) = v ( t 0 ) + 1 C t 0 t 0 + t i ( t ) d t {\displaystyle v(t)=v(t_{0})+{\frac {1}{C}}\int _{t_{0}}^{t_{0}+t}{i(t)dt}} . For this component operating in a periodic steady state circuit, its voltage will be v ( t 0 + T ) = v ( t 0 ) {\displaystyle 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 ) + 1 C t 0 t 0 + t i ( t ) d t {\displaystyle v(t)=v(t_{0})+{\frac {1}{C}}\int _{t_{0}}^{t_{0}+t}{i(t)dt}} , it can be determined that the average current flowing through the capacitor is zero in periodic steady state.

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