Fundamentals of Harmonics:
Introduction, Examples of harmonic waveforms, characteristics of harmonics in power systems, measurement of harmonic distortion, power in passive elements, calculation of passive elements, resonance, capacitor banks and reactive power supply, capacitor banks and power factor correction, bus voltage rise and resonance, harmonics in transformers.
Harmonics in Power system:
Introduction, sources of harmonics, transformers, rotating machines, fluorescent lights, static var compensators, cycloconverters. Single phase controlled rectifiers, three phase converters. ∎
Effects of Harmonic Distortion on Power System:
Introduction, thermal losses in a harmonic environment, harmonic effects on power system equipment, capacitor banks, transformers, rotating machines, protection, communication and electronic equipment.
Mitigation of Power system Harmonics:
Introduction, harmonic filters, power converters, transformers, rotating machines, capacitor banks, harmonic filter design, active filters.
Limits of Harmonic Distortion:
Introduction, voltage harmonic distortion limits, current harmonic distortion limits.
Harmonic studies – Modelling of System Components:
Introduction, impedance in the presence of harmonics, skin effect, modelling of the high voltage grid, generator modelling, modelling of shunt capacitor banks, series capacitor banks, load models, induction motor modelling.
Transformer Modelling:
Introduction, modelling of two winding transformers, phase sequence admittance matrices, transmission of voltage and current across two winding transformers, transmission matrices and phase admittance matrix, modelling of three and four winding transformers.
Modelling of Transmission lines/Cables:
Introduction, skin effect, modelling of power lines, Line’s series impedance, mutual coupling between conductors, mutually coupled lines, line’s shunt capacitance, surge impedance and velocity of propagation, line’s series impedance and shunt capacitance – single phase equivalents, the transmission (ABCD) matrix, the admittance matrix, conversion between the transmission and admittance matrices, the nominal pi model – single phase equivalent, the equivalent pi model – voltage and current the line, line losses, the equivalent pi model – single phase equivalent, variations in the network’s short circuit capacity, examples – the nominal and equivalent models.
Power System Harmonic Studies:
Introduction, harmonic analysis using a computer program, harmonic analysis using spread sheet, harmonic distortion limits, harmonic filter rating, and practical considerations. Harmonic study of simple system, 300 -22 kV power system and low voltage system.
Course outcomes:
At the end of the course the student will be able to:
Question paper pattern:
The SEE question paper will be set for 100 marks and the marks scored will be proportionately reduced to 60.
Text/Reference Books
1. Power System Harmonics, George J Wakileh, Springer, Reprint, 2014.
2. Power System Harmonic Analysis, Jos Arrillaga et al, Wiley, Reprint, 2014.
3. Power System Harmonic, J. Arrillaga, N.R. Watson, Wiley, 2nd Edition, 2003.
4. Harmonics and Power Systems, Francisco C. DE LA Rosa CRC Press 1st Edition, 2006