## Power System Harmonic AnalysisQuality of power supply is now a major issue worldwide making harmonic analysis an essential element in power system planning and design. Power System Harmonic Analysis presents novel analytical and modelling tools for the assessment of components and systems, and their interactions at harmonic frequencies. The recent proliferation of power electronic equipment is a significant source of harmonic distortion and the authors present effective techniques to tackle this real engineering problem. Features include: - Introduction to the main harmonic modelling philosophies
- Analysis of the behaviour of harmonic sources, stressing the interaction of ac/dc converters with the power system
- Information showing the reader how to predict accurately the levels of voltage and current harmonics throughout the power system
- Explanation of the techniques currently used for the prediction of harmonic content and the more advanced algorithms recently developed to determine both characteristic and uncharacteristic harmonic levels
- Description of methods to facilitate accurate assessment of harmonic sources and precise harmonic flow analysis
- Practical guidance on the prediction of unstable conditions and uncharacteristic harmonics
Power System Harmonic Analysis will also serve as a useful reference for postgraduate students following courses in power systems and power electronics disciplines. |

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### Contents

Fourier Analysis | 7 |

Transmission Systems | 33 |

Direct Harmonic Solutions | 97 |

ACDC Conversion Frequency Domain | 133 |

Harmonic Instabilities | 173 |

Machine Nonlinearities Harmonic Domain | 193 |

ACDC Conversion Harmonic Domain | 223 |

Iterative Harmonic Analysis | 241 |

Converter Harmonic Impedances | 283 |

Efficient Derivation of Impedance Loci | 311 |

Pulse Position Modulation Analysis | 317 |

Pulse Duration Modulation Analysis | 327 |

The Impedance Tensor | 353 |

Appendix VI | 361 |

### Common terms and phrases

ac system ac-dc admittance matrix Arrillaga busbars cable calculated CIGRE circuit coefficients commutation current complex composite resonance conductor converter impedance converter transformer coupling dc current dc side dc side impedance dc voltage elements end of commutation equivalent PI Fourier series Fourier Transform frequency domain fundamental frequency harmonic analysis harmonic domain harmonic impedances harmonic order harmonic source harmonic voltage HVdc IEEE inductance instability interaction iterative Jacobian matrix lattice tensor linear load flow locus magnetizing magnitude method mismatch equation Newton's method non-linear obtained parameters partial derivatives phase currents phasors plotted positive sequence power system pulse reactance representation represented resistance second harmonic sequence components sequence current sequence transform shown in Figure shunt simulation skin effect sparse spectrum system harmonic system impedance terminal voltage three-phase transfer function transmission line variables vector voltage distortion voltage harmonics voltage mismatch voltage source voltage waveforms waveform zero sequence