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Steady-state modes in non-sinusoidal current circuits

Lecture



Representation of periodic non-sinusoidal signals
In addition to sinusoidal currents and voltages, non-sinusoidal periodic currents and voltages are widely used in electronics.
For example, rectifiers have single and full-wave instantaneous values ​​of currents and voltages.

  Steady-state modes in non-sinusoidal current circuits

Or GLIN (generators of linearly varying voltages) and the multivibrator at the output have a sawtooth voltage or U - a rectangular shape.

  Steady-state modes in non-sinusoidal current circuits

Periodic non-sinusoidal functions of time f (t) for any t must satisfy the condition:

  Steady-state modes in non-sinusoidal current circuits where T is the period of oscillation.

A vivid way to represent non-sinusoidal values ​​are curves and their instantaneous values, which can be seen on an oscilloscope.

The second way is to represent these functions in the Fourier trigonometric series.

  Steady-state modes in non-sinusoidal current circuits

The Fourier trigonometric series converges quickly, so for engineering calculations the number of harmonics is limited to 3-5 members of the series.
For example, the voltage across a half-wave rectifier load resistor.

  Steady-state modes in non-sinusoidal current circuits

Sawtooth voltage:

  Steady-state modes in non-sinusoidal current circuits

Rectangular voltage:

  Steady-state modes in non-sinusoidal current circuits

Harmonic is when a non-sinusoidal function can be decomposed into the simplest sinusoidal functions that differ in amplitude, frequency and phase


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Electrical Engineering, Circuit design

Terms: Electrical Engineering, Circuit design