Disadvantages Of Harmonics
CHAPTER 1 INTRODUCTION 1.1 PROJECT BACKGROUND Power quality is the deviation in voltage or current waveform from its orderly sinusoidal waveform. The main target of the electric utility is to distribute sinusoidal voltage at moderate magnitude throughout the system. When impedance changes with the applied voltage then it is known as a non-linear load. When a sinusoidal voltage is applied, the current drawn by non-linear load will not be sinusoidal. These non-sinusoidal currents contain harmonics which affects the system performance. Arc furnaces, inverters, switched mode power supply(SMPS), heavy rectifiers for electrolytic refining, etc produces harmonics and they cause the negative impact in the system. Harmonic is a sinusoidal …show more content…
Various types of filtering method to reduce harmonics have been discussed and the advantages and disadvantages of those filters are explained. 2.2 POWER SYSTEM HARMONICS: Harmonics in a system generally refers to the current and voltages frequencies which have an integral multiple of the fundamental frequency. But there are some components where the voltage and current frequencies are not the integral multiples of the fundamental frequency. They are called as interharmonics. There are other components known as sub-harmonics where the voltage and current frequencies contain a fraction of the fundamental frequency. Power system signal can be mathematically represented as x(t)=a_0+∑_(n=1)^∞▒(a_n cos〖(nω_1 t)〗+b_n sin〖(nω_1 t〗 ) (2.1) where ω_1 is the fundamental frequency in radian 's. a_0=1/2π ∫_(-π)^π▒〖x(ωt)d(ωt) (2.2)〗 a_(n )=1/π ∫_(-π)^π▒〖x(ωt)cos(nωt)d(ωt) …show more content…
There is another way of representing the system giving more complex equations given in equation (2.8) x(t) =∑_(n=-∞)^∞▒〖c_n e^(jnw_n t) 〗 (2.8) where 〖 c〗_n = 1/2 (a_n-b_n ) (2.9) 〖 c〗_(-n)=c_n^* (2.10) c_(o ) =a_(o )
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