# Effect of Harmonic Components on EMF of Synchronous Generator

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### Effect of Harmonic Components on EMF of Synchronous Generator

#### ec = [Bm1 sin θ + Bm3 sin 3θ +……….. + Bmx sin xθ].l.(2πdf/P)

Area of each fundamental pole,

A1 = πdl/P

ec = [Bm1 A1 2f sin θ + Bm3 A1 2f sin 3θ +……….. + Bmx A1 2f sin xθ]

Area of xth harmonic pole, Ax =  πdl/xP =  A1/x

#### ec = πf (Φ1  sin θ + 3Φ3 sin 3θ +……….. + xΦx  sin xθ)

Instantaneous value of fundamental frequency EMF generated in a conductor is,
ec1 = πfΦ1 sin θ    V

#### Hence the R.M.S. value of fundamental frequency EMF generated in a conductor is,

ec1 = πfΦ1/√2 = 2.22 fΦ1
Hence RMS value of xth harmonic frequency emf generated in a conductor is,

### Effect of Harmonic Components on Pitch Factor in Synchronous Generator:

#### We know that,

α = Angle of the short pitch for fundamental flux wave then it changes for the various harmonic component of flux as,

### Total EMF Generated due to Harmonics in synchronous Generator:

#### Consider the windings to short pitch and distributed, the e.m.f. of a fundamental  frequency is given by,

E1ph = 4.44 Kc1 Kd1 Φ1 f Tph   V

where               Tph = Turns per phase series
Φ1  = Fundamental flux component

While the phase e.m.f. of Xth order harmonic component of frequency is given by,