Question

A sinusoidal voltage source of v(t) = 240√2sin( 2π50t + 30°) is applied to a non linear load, resulting in a non-sinusoidal current, which is expressed in Fourier series form as:

i(t)=10√2sin(2π50t)+2√2sin(10π50t)+1√2sin(18π50t)

Determine,
a) the active power, reactive power and power factor.
b) the distortion factor and distortion power.
c) the total harmonic distortion of the load current.
d) explain the power quality disturbance arise in this problem.

Answer 1

llo gluen that, V(A) = 24052 Sin (21 504+ 30) 10J2 Sin (20504 + 257 sin llon 504) + Sin (1811 308) il hal a fres. of SoHz. So Current Voltage Corresponding to free. fundamental frequency. so H2 is consider as fs sth Component Current and harmonic other 9th Current Power will Consider only Correponding to fundamental frequency. P= En P= 240 x lux Cosso toto 2078.460gw. 940 xlox Stn 30 1200 VAR Ims 1002+(2)2+(11? 10.247 s Vans Irms 2459.2682 Pife S. 0-84515 distor tion factors (g) (Ilms lo (6) 0.9759 2 Irms 10?+22+1 2 Js²_P²8 Power distortion 536.6566 5 (2)²+(12 © total harmonic distortion 2 0.2236 10

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