sheldon
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Aaron,
Some circuits can be analyzed using their quiescent, dc, operating point, some can be analyzed using their periodic operating point, and some circuits do not have a steady-state. Shooting Newton and Harmonic Balance are algorithms for calculating the periodic steady- state of circuits. Shooting Newton calculates the periodic steady-state response in the time domain. Harmonic Balance calculates the periodic steady-state response in the frequency domain.
Shooting Newton uses transient analysis to calculate the periodic steady-state.
Harmonic Balance calculates the frequency domain response directly.
Shooting Newton and Harmonic Balance complement each other.
Shooting Newton is useful when time domain waveform changes quickly, for example, switched capacitor circuits, and when the circuit is dependent on an instantaneous event, for example, Colpitt's Oscillators. Shooting Newton is also efficient for single tone periodic steady-state analysis.
Harmonic Balance is useful when time domain waveforms do not change quickly or the circuit is dependent on instantaneous events. Harmonic Balance is also useful when the circuit characteristics can be more effectively described in the frequency domain. Most RF applications fall into this category. Harmonic Balance is more efficient than Shooting Newton for multiple tone periodic steady- state analysis.
Transient analysis is prior to the steady-state calculation is used to improve convergence. For Shooting Newton, circuits often have start-up transients and these need to settle (somewhat) before starting the periodic analysis. For Harmonic Balance, some circuits have fast changing waveforms, for example, dividers and running transient analysis first can help the HB analysis converge.
It might be useful to think about it as there a set of tools available to you and transient analysis is the hammer. You can do anything with it, but it is not also the most efficient tool. DC/small signal and PSS/small signal are not as generally applicable, however, they are very good at the things they can do.
Hope this helps!
Best Regards,
Sheldon
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