Harmonic Regime
In physics, the term harmonic regime designs the state of a system where the time-wise variation of its characteristics is sinusoidal.
This state can be reached either through external excitation (forced harmonic regime), or on its own in the case of oscillators.
Harmonic regime gains its importance from the presence from Fourier series, which allow a periodic signal to be expressed as a sum of sinusoidal signals.
Hence, by knowing the frequency response of a linear system, one can use harmonic analysis to derive its response to a periodic signal.
Use cases
Electricity
Most electrical networks use alternating current, with models introducing impedances as functions of frequency.[1]
Control systems
Using the superposition principle, the response of a linear systems can be studied using their transfer functions, which can be experimentally determined in forced harmonic regime.
Assuming that the transfer function is known, the process would be the following :
- Compute the Fourier transform of the input signal, moving to the frequency domain
- Multiply the frequency domain representation by the transfer function to get the output in frequency domain
- Compute the inverse Fourier transform of the output to return to the time domain
References
- ↑ Roussel, Jimmy (2016-03). "RÉGIME SINUSOÏDAL FORCÉ". femto-physique.fr (in français). Retrieved 2026-02-20. Check date values in:
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