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The higher harmonics in a curve of the rectified voltage

Figure 3.1

u_d = U_d-+ u_{d ~}.

For all circuits of rectifying and inverting at Ld = ∞ and no-load (without taking into account losses)

where ω₁ = ωm,

ω -a line frequency,

ω₁ - frequency of 1-th harmonic of arectified voltage,

m - a multiplicity of pulsations u_d,

n - the order of a higher harmonic,

U_nm - amplitude of the higher harmonic about n,

n - an initial phase of the higher harmonic about n.

Then

Amplitude cosine component

Amplitude sine component

Period of the first harmonic of the rectified voltage

The rectified voltage we is described by function

For single-phase half-wave, single-phase full-wave with centre tap, a single-phase bridge, three-phase zero circuits

For a three-phase bridge

For the circuit of a double three-phase star with the current-balancing reactor

Then

From here

In per units

With increase fast growth of the higher harmonics would be observed.

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