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A set of three line (or line-to-line) voltages in a balanced three-phase (three-wire or four-wire) power system cannot contain harmonics whose frequency is an integer multiple of the frequency of the third harmonics (i.e. harmonics of order =), which includes triplen harmonics (i.e. harmonics of order = ()). [3]
As all harmonics are periodic at the fundamental frequency, the sum of harmonics is also periodic at that frequency. The set of harmonics forms a harmonic series . The term is employed in various disciplines, including music, physics, acoustics , electronic power transmission, radio technology, and other fields.
A harmonic spectrum is a spectrum containing only frequency components whose frequencies are whole number multiples of the fundamental frequency; such frequencies are known as harmonics. "The individual partials are not heard separately but are blended together by the ear into a single tone."
Harmonic balance is a method used to calculate the steady-state response of nonlinear differential equations, [1] and is mostly applied to nonlinear electrical circuits. [2] [3] [4] It is a frequency domain method for calculating the steady state, as opposed to the various time-domain steady-state methods.
That signal then drives a step recovery diode impulse generator circuit that turns the sine wave into something approximating an impulse train. The resulting impulse train has the harmonics of the input sine wave present to a high frequency (such as 18 GHz). The impulse train can then be used with a diode mixer (also called a sampler). [2]
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Harmonics of a string showing the periods of the pure-tone harmonics (period = 1/frequency) The harmonic series (also overtone series) is the sequence of harmonics, musical tones, or pure tones whose frequency is an integer multiple of a fundamental frequency.
The analog of the spherical harmonics for the Lorentz group is given by the hypergeometric series; furthermore, the spherical harmonics can be re-expressed in terms of the hypergeometric series, as SO(3) = PSU(2) is a subgroup of PSL(2,C).