*Consider the waveforms in Figure. v*

_{s}is the sinusoidal input voltage, i_{s}the instantaneous input current, i_{s1}is the fundamental component of i_{s}*The displacement angle Φ is the angle between fundamental components of input current and voltage. The displacement factor (DF) or Displacement Power Factor (DPF) is defined as*

The harmonic factor (HF) also known as total harmonic distortion (THD) is a measure of the distortion of a waveform. The harmonic factor of the input current is given as

*Where both currents are recorded as rms values*

*The crest factor (CF) is a comparison of the peak input current to its rms value. It is given as*

*For a pure sinusoidal input current and voltage, power factor is defined as the cosine of the load angle Φ*

*where the voltages and currents are stated in rms values and VA is*

*For a rectifier circuit, the input power factor is given by*

*Power factor in rectifier circuits is related to harmonic voltages and currents given in the diagrams*

*Where,*

*An ideal rectifier should have η = 100%, V*_{ac}= 0, RF = 0, TUF = 1, HF = THD = 0, and PF = PDF = 1.previous

**Performance Parameters of Rectifiers (Output dc side)**

*next*

**Performance of Single-phase, half-wave controlled rectifiers**

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