Cover image for Harmonics and power systems
Title:
Harmonics and power systems
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Series:
Electric power engineering series
Publication Information:
Boca Raton, FL : CRC Press/Taylor & Francis, 2006
ISBN:
9780849330162

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30000010121047 TK3226 D44 2006 Open Access Book Book
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30000010115563 TK3226 D44 2006 Open Access Book Book
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Summary

Summary

Harmonics have always been a problem with industrial loads, but now more and more consumer and commercial power loads are cropping up as sources of harmonic currents. Approaching the problem from both utility and end-user perspectives, Harmonics and Power Systems addresses the most relevant aspects in the generation and propagation of harmonic currents in electrical networks.

Grounded in years of practical experience working and teaching in the electric, oil, and steel industries in several countries to address the harmonics problem, De La Rosa elucidates the concepts and equations with worked examples and various illustrations generated using current industrial software tools. From a general overview of the principles and equations used to describe and analyze harmonic currents to the fundamentals of power losses in harmonic environments, this field-tested book offers detailed coverage of passive harmonic filters, harmonic propagation analysis, and alternatives to filtering. The author provides a clear-cut procedure for evaluating harmonic current propagation and assessing their penetration into electrical networks. He also discusses the most important and widely used industry standards to control harmonic distortion levels.

Recognizing the diversity of power networks, this book examines the role of specific characteristics of various types of networks. Harmonics and Power Systems is an easy-to-follow, practical introduction for novices and a useful problem-solving tool for seasoned professionals.


Table of Contents

Chapter 1 Fundamentals of Harmonic Distortion and Power Quality Indices in Electric Power Systemsp. 1
1.1 Introductionp. 1
1.2 Basics of Harmonic Theoryp. 2
1.3 Linear and Nonlinear Loadsp. 3
1.3.1 Linear Loadsp. 4
1.3.2 Nonlinear Loadsp. 6
1.4 Fourier Seriesp. 9
1.4.1 Orthogonal Functionsp. 12
1.4.2 Fourier Coefficientsp. 13
1.4.3 Even Functionsp. 13
1.4.4 Odd Functionsp. 13
1.4.5 Effect of Waveform Symmetryp. 14
1.4.6 Examples of Calculation of Harmonics Using Fourier Seriesp. 14
1.4.6.1 Example 1p. 14
1.4.6.2 Example 2p. 15
1.5 Power Quality Indices under Harmonic Distortionp. 17
1.5.1 Total Harmonic Distortionp. 17
1.5.2 Total Demand Distortionp. 17
1.5.3 Telephone Influence Factor TIFp. 18
1.5.4 C Message Indexp. 18
1.5.5 I * T and V * T Productsp. 18
1.5.6 K Factorp. 19
1.5.7 Displacement, Distortion, and Total Power Factorp. 19
1.5.8 Voltage-Related Parametersp. 20
1.6 Power Quantities under Nonsinusoidal Situationsp. 20
1.6.1 Instantaneous Voltage and Currentp. 20
1.6.2 Instantaneous Powerp. 21
1.6.3 RMS Valuesp. 21
1.6.4 Active Powerp. 21
1.6.5 Reactive Powerp. 21
1.6.6 Apparent Powerp. 21
1.6.7 Voltage in Balanced Three-Phase Systemsp. 22
1.6.8 Voltage in Unbalanced Three-Phase Systemsp. 23
Referencesp. 25
Chapter 2 Harmonic Sourcesp. 27
2.1 Introductionp. 27
2.2 The Signature of Harmonic Distortionp. 28
2.3 Traditional Harmonic Sourcesp. 29
2.3.1 Transformersp. 36
2.3.2 Rotating Machinesp. 37
2.3.3 Power Convertersp. 39
2.3.3.1 Large Power Convertersp. 45
2.3.3.2 Medium-Size Power Convertersp. 45
2.3.3.3 Low-Power Convertersp. 46
2.3.3.4 Variable Frequency Drivesp. 47
2.3.4 Fluorescent Lampsp. 54
2.3.5 Electric Furnacesp. 55
2.4 Future Sources of Harmonicsp. 56
Referencesp. 58
Chapter 3 Standardization of Harmonic Levelsp. 59
3.1 Introductionp. 59
3.2 Harmonic Distortion Limitsp. 60
3.2.1 In Agreement with IEEE-519:1992p. 61
3.2.2 In Conformance with IEC Harmonic Distortion Limitsp. 63
Referencesp. 67
Chapter 4 Effects of Harmonics on Distribution Systemsp. 69
4.1 Introductionp. 69
4.2 Thermal Effects on Transformersp. 69
4.2.1 Neutral Conductor Overloadingp. 70
4.3 Miscellaneous Effects on Capacitor Banksp. 70
4.3.1 Overstressingp. 70
4.3.2 Resonant Conditionsp. 71
4.3.3 Unexpected Fuse Operationp. 72
4.4 Abnormal Operation of Electronic Relaysp. 73
4.5 Lighting Devicesp. 73
4.6 Telephone Interferencep. 74
4.7 Thermal Effects on Rotating Machinesp. 74
4.8 Pulsating Torques in Rotating Machinesp. 74
4.9 Abnormal Operation of Solid-State Devicesp. 81
4.10 Considerations for Cables and Equipment Operating in Harmonic Environmentsp. 81
4.10.1 Generatorsp. 81
4.10.2 Conductorsp. 83
4.10.3 Energy-Metering Equipmentp. 83
Referencesp. 83
Chapter 5 Harmonics Measurementsp. 85
5.1 Introductionp. 85
5.2 Relevant Harmonic Measurement Questionsp. 86
5.2.1 Why Measure Waveform Distortionp. 86
5.2.2 How to Carry out Measurementsp. 87
5.2.3 What Is Important to Measurep. 87
5.2.4 Where Should Harmonic Measurements Be Conductedp. 88
5.2.5 How Long Should Measurements Lastp. 88
5.3 Measurement Procedurep. 89
5.3.1 Equipmentp. 89
5.3.2 Transducersp. 90
5.4 Relevant Aspectsp. 90
Referencesp. 91
Chapter 6 Harmonic Filtering Techniquesp. 93
6.1 Introductionp. 93
6.2 General Aspects in the Design of Passive Harmonic Filtersp. 93
6.3 Single-Tuned Filtersp. 94
6.3.1 Design Equations for the Single-Tuned Filterp. 96
6.3.2 Parallel Resonant Pointsp. 97
6.3.3 Quality Factorp. 100
6.3.4 Recommended Operation Values for Filter Componentsp. 101
6.3.4.1 Capacitorsp. 101
6.3.4.2 Tuning Reactorp. 104
6.3.5 Unbalance Detectionp. 104
6.3.6 Filter Selection and Performance Assessmentp. 104
6.4 Band-Pass Filtersp. 105
6.5 Relevant Aspects to Consider in the Design of Passive Filtersp. 107
6.6 Methodology for Design of Tuned Harmonic Filtersp. 108
6.6.1 Select Capacitor Bank Needed to Improve the Power Factor from the Present Level Typically to around 0.9 to 0.95p. 108
6.6.2 Choose Reactor that, in Series with Capacitor, Tunes Filter to Desired Harmonic Frequencyp. 109
6.6.3 Determine Whether Capacitor-Operating Parameters Fall within IEEE-18[superscript 2] Maximum Recommended Limitsp. 109
6.6.3.1 Capacitor Voltagep. 109
6.6.3.2 Current through the Capacitor Bankp. 110
6.6.3.3 Determine the Capacitor Bank Duty and Verify that It Is within Recommended IEEE-18 Limitsp. 110
6.6.4 Test Out Resonant Conditionsp. 110
6.7 Example 1: Adaptation of a Power Factor Capacitor Bank into a Fifth Harmonic Filterp. 110
6.8 Example 2: Digital Simulation of Single-Tuned Harmonic Filtersp. 113
6.9 Example 3: High-Pass Filter at Generator Terminals Used to Control a Resonant Conditionp. 117
6.10 Example 4: Comparison between Several Harmonic Mitigating Schemes Using University of Texas at Austin HASIP Programp. 124
Referencesp. 129
Chapter 7 Other Methods to Decrease Harmonic Distortion Limitsp. 131
7.1 Introductionp. 131
7.2 Network Topology Reconfigurationp. 132
7.3 Increase of Supply Mode Stiffnessp. 132
7.4 Harmonic Cancellation through Use of Multipulse Convertersp. 134
7.5 Series Reactors as Harmonic Attenuator Elementsp. 135
7.6 Phase Balancingp. 136
7.6.1 Phase Voltage Unbalancep. 137
7.6.2 Effects of Unbalanced Phase Voltagep. 137
Referencep. 138
Chapter 8 Harmonic Analysesp. 139
8.1 Introductionp. 139
8.2 Power Frequency vs. Harmonic Current Propagationp. 139
8.3 Harmonic Source Representationp. 142
8.3.1 Time/Frequency Characteristic of the Disturbancep. 142
8.3.2 Resonant Conditionsp. 147
8.3.3 Burst-Type Harmonic Representationp. 148
8.4 Harmonic Propagation Factsp. 149
8.5 Flux of Harmonic Currentsp. 150
8.5.1 Modeling Philosophyp. 151
8.5.2 Single-Phase vs. Three-Phase Modelingp. 152
8.5.3 Line and Cable Modelsp. 152
8.5.4 Transformer Model for Harmonic Analysisp. 153
8.5.5 Power Factor Correction Capacitorsp. 154
8.6 Interrelation between AC System and Load Parametersp. 154
8.6.1 Particulars of Distribution Systemsp. 156
8.6.2 Some Specifics of Industrial Installationsp. 157
8.7 Analysis Methodsp. 158
8.7.1 Simplified Calculationsp. 158
8.7.2 Simulation with Commercial Softwarep. 159
8.8 Examples of Harmonic Analysisp. 160
8.8.1 Harmonic Current during Transformer Energizationp. 160
8.8.2 Phase A to Ground Faultp. 160
Referencesp. 167
Chapter 9 Fundamentals of Power Losses in Harmonic Environmentsp. 169
9.1 Introductionp. 169
9.2 Meaning of Harmonic-Related Lossesp. 169
9.3 Relevant Aspects of Losses in Power Apparatus and Distribution Systemsp. 171
9.4 Harmonic Losses in Equipmentp. 172
9.4.1 Resistive Elementsp. 172
9.4.2 Transformersp. 174
9.4.2.1 Crest Factorp. 174
9.4.2.2 Harmonic Factor or Percent of Total Harmonic Distortionp. 175
9.4.2.3 K Factorp. 175
9.5 Example of Determination of K Factorp. 176
9.6 Rotating Machinesp. 177
Referencesp. 179
Indexp. 181