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The zero sequence harmonics of a set of three-phase distorted (non-sinusoidal) periodic signals are harmonics that are in phase in time for a given frequency or order. It can be proven the zero sequence harmonics are harmonics whose frequency is an integer multiple of the frequency of the third harmonics. [6] So, their order is given by:
The possible effects if the level of harmonics, known as total harmonic distortion becomes too high include damage to sensitive electronic equipment [5] and reduction in the efficiency of the HV transformer. [6] The efficiency of electrical loads can be improved by attenuating harmonics at the supply, or by preventing their generation.
In physics, acoustics, and telecommunications, a harmonic is a sinusoidal wave with a frequency that is a positive integer multiple of the fundamental frequency of a periodic signal. The fundamental frequency is also called the 1st harmonic; the other harmonics are known as higher harmonics.
Harmonic oscillators occurring in a number of areas of engineering are equivalent in the sense that their mathematical models are identical (see universal oscillator equation above). Below is a table showing analogous quantities in four harmonic oscillator systems in mechanics and electronics.
Ferroresonant effects were first described in a 1907 paper by Joseph Bethenod. [ 3 ] [ 4 ] The term ferroresonance was apparently coined by French engineer Paul Boucherot in a 1920 paper, in which he analysed the phenomenon of two stable fundamental frequency operating points coexisting in a series circuit containing a resistor, nonlinear ...
Sympathetic resonance or sympathetic vibration is a harmonic phenomenon wherein a passive string or vibratory body responds to external vibrations to which it has a harmonic likeness. [1] The classic example is demonstrated with two similarly-tuned tuning forks. When one fork is struck and held near the other, vibrations are induced in the ...
Second-harmonic generation (SHG), also known as frequency doubling, is the lowest-order wave-wave nonlinear interaction that occurs in various systems, including optical, radio, atmospheric, and magnetohydrodynamic systems. [1] As a prototype behavior of waves, SHG is widely used, for example, in doubling laser frequencies.
Nonlinear effects may significantly modify the shape of the resonance curves of harmonic oscillators. First of all, the resonance frequency ω {\displaystyle \omega } is shifted from its "natural" value ω 0 {\displaystyle \omega _{0}} according to the formula