title: Periodic steady-state analysis
text: # 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 $v(t)=v(t_{0})+{\frac {1}{C}}\int _{t_{0}}^{t_{0}+t}{i(t)dt}$ . For this component operating in a periodic steady state circuit, its voltage will be $v(t_{0}+T)=v(t_{0})$ when T is equal to its fundamental period. Referring back to the original voltage function $v(t)=v(t_{0})+{\frac {1}{C}}\int _{t_{0}}^{t_{0}+t}{i(t)dt}$, it can be determined that the average current flowing through the capacitor is zero in periodic steady state.
  
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