Foreword and Acknowledgements | p. xiii |
Basics of Reactive Power | p. 1 |
Chapter Overview | p. 1 |
Phasors and Vector Diagrams | p. 1 |
Definition of Different Types of Power | p. 4 |
Definition of Power for Non-Sinusoidal Currents and Voltages | p. 6 |
Equivalent Mechanical Model for Inductance | p. 9 |
Equivalent Mechanical Model for Capacitance | p. 11 |
Ohmic and Reactive Current | p. 12 |
Summary | p. 13 |
References | p. 13 |
Reactive Power Consumers | p. 15 |
Chapter Overview | p. 15 |
Reactive Energy Demand | p. 15 |
Simplified Model: Series Reactive Power Consumer | p. 16 |
Realistic Model: Mixed Parallel and Series Reactive Power | p. 16 |
Reactive Power Demand of Consumers | p. 17 |
Asynchronous Motors | p. 17 |
Transformers | p. 18 |
Control Gear (Ballast) for Gas Discharge Lamps | p. 18 |
Summary | p. 21 |
Effect of Reactive Power on Electricity Generation, Transmission and Distribution | p. 23 |
Chapter Overview | p. 23 |
Loading of Generators and Equipment | p. 23 |
Power System Losses | p. 24 |
Generators | p. 27 |
Voltage Drop | p. 28 |
General | p. 28 |
Transferable Power of Lines and Voltage Drop | p. 29 |
Transformer Voltage Drop | p. 32 |
Available Power of Transformers | p. 34 |
Summary | p. 35 |
Reactive Power in Standard Energy Contracts | p. 37 |
Chapter Overview | p. 37 |
Introduction | p. 37 |
Reactive Energy to be Considered in Standardized Contracts of Suppliers | p. 38 |
Pricing Dependent on Consumed Reactive Energy (kvarh) | p. 38 |
Pricing Dependent on Consumed Apparent Energy (kVAh) | p. 40 |
importance of Reactive Power in Determining the Costs of Connection | p. 42 |
Summary | p. 42 |
Reference | p. 42 |
Methods for the Determination of Reactive Power and Power Factor | p. 43 |
Chapter Overview | p. 43 |
Methods | p. 43 |
Determination of Power Factor in Single-Phase Grids | p. 43 |
Direct Indication of Power Factor by Means of Brueger's Device | p. 44 |
Determination of Power Factor in Three-Phase System | p. 44 |
Determination of Power Factor Using Portable Measuring Equipment | p. 46 |
Determination of Power (Factor) via Recorded Data | p. 48 |
Determination of Power Factor by Means of an Active Energy Meter | p. 48 |
Determination of Power Factor by Means of an Active and Reactive Energy Meter | p. 49 |
Determination of Power Factor via the Energy Bill | p. 50 |
Summary | p. 51 |
Improvement of Power Factor | p. 53 |
Chapter Overview | p. 53 |
Basics of Reactive Power Compensation | p. 53 |
Limitation of Reactive Power without Phase Shifting | p. 55 |
Compensation of Reactive Power by Rotational Phase-Shifting Machines | p. 55 |
Compensation of Reactive Power by Means of Capacitors | p. 56 |
Summary | p. 58 |
Design, Arrangement and Power of Capacitors | p. 61 |
Chapter Overview | p. 61 |
Basics of Capacitors | p. 61 |
Reactive Power of Capacitors | p. 64 |
Different Technologies in Manufacturing Capacitors | p. 65 |
Capacitors with Paper Insulation | p. 65 |
Capacitors with Metallized Paper (MP Capacitor) | p. 65 |
Capacitors with Metallized Plastic Foils | p. 66 |
Arrangements and Reactive Power of Capacitors | p. 66 |
Capacitors Connected in Parallel | p. 67 |
Capacitors Connected in Series | p. 67 |
Star and Delta Connection of Power Capacitors | p. 68 |
Design of MV Capacitors | p. 69 |
Long-Term Stability and Ageing of Capacitor Installations | p. 69 |
General | p. 69 |
Influence of Operating Voltage | p. 70 |
Ageing in the Case of Detuned Capacitors | p. 72 |
Ageing due to Switching Operations | p. 73 |
Summary | p. 73 |
References | p. 73 |
Determination of Required Power of Capacitors | p. 75 |
Chapter Overview | p. 75 |
Basics of Calculation | p. 75 |
Determination of Compensation at New Projected Plants | p. 79 |
Summary | p. 85 |
Reference | p. 85 |
Types of Reactive Power Compensation | p. 87 |
Chapter Overview | p. 87 |
Single-Type Compensation | p. 87 |
Single-Type Compensation in Asynchronous Motors | p. 88 |
Single-Type Compensation of Transformers | p. 97 |
Single-Type Compensation of Reactive Power for Welding Transformers | p. 99 |
Single-Type Compensation of Fluorescent Lamps | p. 103 |
Bulk-Type Compensation | p. 108 |
Central-Type Compensation | p. 111 |
Mixed Compensation | p. 112 |
Advantages and Disadvantages of Different Types of Compensations | p. 113 |
Summary | p. 115 |
Reference | p. 115 |
Compensation of Existing Installations | p. 117 |
Chapter Overview | p. 117 |
Methods of Determining the Reactive Power for Extension | p. 117 |
Calculation of the Extension Unit by Means of Energy Invoices | p. 118 |
Summary | p. 121 |
Control of Reactive Power | p. 123 |
Chapter Overview | p. 123 |
General | p. 123 |
Reactive Power Compensation Units | p. 124 |
Control of Reactive Power by Automatic Reactive Power Controllers | p. 124 |
General | p. 124 |
Number of Steps and Reactive Power of the Capacitor Steps | p. 125 |
Threshold Level C/k Value | p. 131 |
Reverse Control Scheme (cos ¿d Line) | p. 133 |
Automatic Reactive Power Control | p. 135 |
No-Volt Release Function | p. 137 |
How to Wire a Power Factor Relay | p. 137 |
Reactive Power Control by 'Mixed Measurement' | p. 138 |
Reactive Power Control with Multiple Feed-ins | p. 140 |
Measuring by Means of Summation Current Transformer | p. 140 |
Parallel Operation of Compensation Banks for Each Incoming Supply | p. 142 |
Performances of Automatic Compensation Banks | p. 144 |
Summary | p. 146 |
Discharging Devices for Power Capacitors | p. 147 |
Chapter Overview | p. 147 |
Basis at LV Applications | p. 147 |
Rapid Discharging with Additional Resistances Switched in | p. 150 |
Discharging Capacitors by Means of Reactors | p. 150 |
Discharging Devices in MV Capacitors | p. 152 |
MV Capacitors to be Discharged by Resistances | p. 152 |
MV Capacitors to be Discharged by Reactors | p. 154 |
Calculation of the Electric Charge to be Stored on an MV Capacitor | p. 154 |
Summary | p. 156 |
Protection of Capacitors and Compensations | p. 157 |
Chapter Overview | p. 157 |
Protection against Overcurrent and Short Circuit | p. 157 |
Overvoltage Protection | p. 158 |
Protection against Overtemperatures | p. 158 |
Protection against Internal Faults | p. 158 |
Protection against Voltage Flashover | p. 159 |
Self-healing Technology | p. 159 |
Protection against Overheating and Internal Overpressure | p. 159 |
Protection by Balance Observation at Single-Phase MV Capacitors | p. 162 |
Summary | p. 163 |
Reference | p. 163 |
Switching of Capacitors | p. 165 |
Chapter Overview | p. 165 |
General | p. 165 |
Selection of Switchgear | p. 167 |
Air Contactors | p. 168 |
Circuit Breakers | p. 169 |
Switch Fuses and Magnetic Trips | p. 169 |
Switching by Semiconductors (Thyristor Modules) | p. 169 |
General | p. 169 |
Static Contactors for Switching Capacitors up to 415 V | p. 171 |
Static Contactors for Switching Capacitors of Rated Voltage Higher than 500 V | p. 173 |
Power Factor Relays for Static Contactors | p. 173 |
Dynamic Reactive Power Compensation (Ready to Install) | p. 174 |
Summary | p. 175 |
Reference | p. 175 |
Installation, Disturbances and Maintenance | p. 177 |
Chapter Overview | p. 177 |
Installation of Automatically Controlled Compensation Banks | p. 177 |
Automatic Compensation Banks: Setting into Operation | p. 178 |
Selection of Current Transformer (CT) and Determination of the CT Cable | p. 178 |
Preset Switching Time Delay per Capacitor Step | p. 183 |
Disturbances and How to Solve Them | p. 184 |
Working and Maintenance | p. 185 |
Summary | p. 187 |
References | p. 187 |
Reactive Power Compensation in Electrical Plants with Generators | p. 189 |
Chapter Overview | p. 189 |
General | p. 189 |
Automatic Control of Reactive Power within Four Quadrants | p. 190 |
Technical Considerations | p. 190 |
Bargaining Considerations | p. 192 |
Summary | p. 193 |
References | p. 194 |
Effects of Perturbation Considering Especially the Impact of Harmonics on Power Factor Correction Capacitors | p. 195 |
Chapter Overview | p. 195 |
Perturbations and Improved Power Quality for Business Customers | p. 196 |
Measuring and Analysis | p. 198 |
Summary | p. 203 |
References | p. 204 |
Resonances in Electrical Power Systems | p. 205 |
Chapter Overview | p. 205 |
Parallel Resonance Circuit | p. 205 |
Series Resonance Circuit | p. 208 |
Typical Resonances in Power Systems | p. 208 |
Resonance due to Reactive Power Compensation in 6 kV System | p. 208 |
Parallel Resonance in a 30 kV Industrial System | p. 210 |
Impedance in Urban 10 kV System | p. 212 |
Summary | p. 212 |
Reference | p. 212 |
Reactor-Protected Capacitors and Filter Circuits | p. 213 |
Chapter Overview | p. 213 |
Effect of Reactor-Protected Systems and System Configuration | p. 214 |
Effect of Reactor-Protected Systems | p. 214 |
System Configuration of Reactor-Protected Capacitor Banks | p. 217 |
Notes on the Selection of Reactors | p. 220 |
Influence of the Reactor Rate on the Capacitor's Lifetime | p. 222 |
Filter Effect with Detuned Filters | p. 223 |
Filter Circuits | p. 225 |
General | p. 225 |
Active Filters | p. 227 |
Passive Filters | p. 229 |
Comparison of Active and Passive Filters | p. 233 |
Neutral Line Harmonic Filtering | p. 233 |
General | p. 233 |
Special Features of the Third Harmonic | p. 234 |
Network Relief by the Neutral Line Harmonic Filter | p. 235 |
Summary | p. 238 |
References | p. 239 |
Dynamic Reactive Power Compensation Systems | p. 241 |
Chapter Overview | p. 241 |
Improvement of Power Quality via Dynamic Reactive Power Compensation Systems | p. 242 |
Motor Startup Compensation | p. 245 |
Flicker Compensation | p. 245 |
Evaluation of Power Factor Correction Solutions as Seen by the Distribution System Operator (Power Utility) | p. 251 |
Summary | p. 252 |
References | p. 252 |
Compensation Effects at Rectifiers | p. 253 |
Chapter Overview | p. 253 |
General | p. 253 |
Compensation Bank at a Six-Pulse Rectifier | p. 254 |
Time Courses of Voltage and Current at a Three-Phase Bridge-Connected Rectifier | p. 256 |
How Compensation Banks Affect Three-Phase Bridge-Connected Rectifiers | p. 257 |
Characteristic Behaviour of Reactive Power Controllers at Rectifiers | p. 260 |
Summary | p. 261 |
References | p. 261 |
Environmental and Climate Protection Using Capacitors | p. 263 |
Chapter Overview | p. 263 |
PCB-Filled Capacitors | p. 263 |
Climate Change and Energy Efficiency through Power Factor Correction | p. 264 |
Summary | p. 267 |
References | p. 267 |
Symbols and Abbreviations | p. 269 |
Index | p. 273 |
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