Analysis of Synchronous Machines (2nd Revised edition)

Analysis of Synchronous Machines (2nd Revised edition)

By: T. A. Lipo (author)Hardback

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Analysis of Synchronous Machines, Second Edition is a thoroughly modern treatment of an old subject. Courses generally teach about synchronous machines by introducing the steady-state per phase equivalent circuit without a clear, thorough presentation of the source of this circuit representation, which is a crucial aspect. Taking a different approach, this book provides a deeper understanding of complex electromechanical drives. Focusing on the terminal rather than on the internal characteristics of machines, the book begins with the general concept of winding functions, describing the placement of any practical winding in the slots of the machine. This representation enables readers to clearly understand the calculation of all relevant self- and mutual inductances of the machine. It also helps them to more easily conceptualize the machine in a rotating system of coordinates, at which point they can clearly understand the origin of this important representation of the machine. * Provides numerical examples * Addresses Park's equations starting from winding functions * Describes operation of a synchronous machine as an LCI motor drive * Presents synchronous machine transient simulation, as well as voltage regulation Applying his experience from more than 30 years of teaching the subject at the University of Wisconsin, author T.A. Lipo presents the solution of the circuit both in classical form using phasor representation and also by introducing an approach that applies MathCAD(R), which greatly simplifies and expands the average student's problem-solving capability. The remainder of the text describes how to deal with various types of transients-such as constant speed transients-as well as unbalanced operation and faults and small signal modeling for transient stability and dynamic stability. Finally, the author addresses large signal modeling using MATLAB(R)/Simulink(R), for complete solution of the non-linear equations of the salient pole synchronous machine. A valuable tool for learning, this updated edition offers thoroughly revised content, adding new detail and better-quality figures.

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About Author

Thomas A. Lipo received his BEE and MS degrees at Marquette University and his Ph.D from the University of Wisconsin in 1968. After 10 years at the Corporate R&D Center of the General Electric Company in Schenectady. New York, he joined Purdue University as professor in 1978 and subsequently took the same position at the University of Wisconsin in 1980. He was granted the 2004 Hilldale Award, the university's most prestigious award for scientific achievement. He has published more than 550 technical papers, secured 35 U.S. patents, and written five books in his discipline. He is a Fellow of IEEE and IET (London), and he is also a member of the National Academy of Engineering (USA) and the Royal Academy of Engineering (UK).


Winding Distribution in an Ideal Machine Introduction The Winding Function Calculation of the Winding Function Multipole Winding Configurations Inductances of an Ideal Doubly Cylindrical Machine Calculation of Winding Inductances Mutual Inductance Calculation-An Example Winding Functions for Multiple Circuits Analysis of a Shorted Coil-An Example General Case for C Circuits Winding Function Modifications for Salient-Pole Machines Leakage Inductances of Synchronous Machines Practical Winding Design Reference Frame Theory Introduction Rotating Reference Frames Transformation of Three-Phase Circuit Variables to a Rotating Reference Frame Stationary Three-Phase r-L Circuits Observed in a d-q-n Reference Frame Matrix Approach to the d-q-n Transformation The d-q-n Transformation Applied to a Simple Three-Phase Cylindrical Inductor Winding Functions in a d-q-n Reference Frame Direct Computation of d-q-n Inductances of a Cylindrical Three-Phase Inductor The d-q Equations of a Synchronous Machine Introduction Physical Description Synchronous Machine Equations in the Phase Variable or as-, bs-, cs- Reference Frame Transformation of the Stator Voltage Equations to a Rotating Reference Frame Transformation of Stator Flux Linkages to a Rotating Reference Frame Winding Functions of the Three-Phase Stator Windings in a d-q-n Reference Frame Winding Functions of the Rotor Windings Calculation of Stator Magnetizing Inductances Mutual Inductances between Stator and Rotor Circuits d-q Transformation of the Rotor Flux Linkage Equation Power Input Torque Equation Summary of Synchronous Machine Equations Expressed in Physical Units Turns Ratio Transformation of the Flux Linkage Equations System Equations in Physical Units Using Hybrid Flux Linkages Synchronous Machine Equations in Per Unit Form Steady-State Behavior of Synchronous Machines Introduction d-q Axes Orientation Steady-State Form of Park's Equations Steady-State Torque Equation Steady-State Power Equation Steady-State Reactive Power Graphical Interpretation of the Steady-State Equations Steady-State Vector Diagram Vector Interpretation of Power and Torque Phasor Form of the Steady-State Equations Equivalent Circuits of a Synchronous Machine Solutions of the Phasor Equations Solution of the Steady-State Synchronous Machine Equations Using MathCAD Open-Circuit and Short-Circuit Characteristics Saturation Modeling of Synchronous Machines Under Load Construction of the Phasor Diagram for a Saturated Round-Rotor Machine Calculation of the Phasor Diagram for a Saturated Salient-Pole Synchronous Machine Zero Power Factor Characteristic and the Potier Triangle Other Reactance Measurements Steady-State Operating Characteristics Calculation of Pulsating and Average Torque during Starting of Synchronous Motors Transient Analysis of Synchronous Machines Introduction Theorem of Constant Flux Linkages Behavior of Stator Flux Linkages on Short-Circuit Three-Phase Short-Circuit, No Damper Circuits, Resistances Neglected Three-Phase Short-Circuit from Open Circuit, Resistances and Damper Windings Neglected Short-Circuit from Loaded Condition, Stator Resistance and Damper Winding Neglected Three-Phase Short-Circuit from Open Circuit, Effect of Resistances Included, No Dampers Extension of the Theory to Machines with Damper Windings Short-Circuit of a Loaded Generator, Dampers Included Vector Diagrams for Sudden Voltage Changes Effect of Exciter Response Transient Solutions Utilizing Modal Analysis Comparison of Modal Analysis Solution with Conventional Methods Unsymmetrical Short-Circuits Power System Transient Stability Introduction Assumptions Torque Angle Curves Mechanical Acceleration Equation in Per Unit Equal Area Criterion for Transient Stability Transient Stability Analysis Transient Stability of a Two Machine System Multi-Machine Transient Stability Analysis Types of Faults and Effect on Stability Step-by-Step Solution Methods Including Saturation Machine Model Including Saturation Summary-Step-by-Step Method for Calculating Synchronous Machine Transients Excitation Systems and Dynamic Stability Introduction Generator Response to System Disturbances Sources of System Damping Excitation System Hardware Implementations IEEE Type 1 Excitation System Excitation Design Principles Effect of the Excitation System on Dynamic Stability Naturally Commutated Synchronous Motor Drives Introduction Load Commutated Inverter (LCI) Synchronous Motor Drives Principle of Inverter Operation Fundamental Component Representation Control Considerations Starting Considerations Detailed Steady-State Analysis Time Step Solution Sample Calculations Torque Capability Curves Constant Speed Performance Comparison of State Space and Phasor Diagram Solutions Extension of d-q Theory to Unbalanced Operation Introduction Source Voltage Formulation System Equations to Be Solved System Formulation with Non-Sinusoidal Stator Voltages Solution for Currents Solution for Electromagnetic Torque Example Solutions Linearization of the Synchronous Machine Equations Introduction Park's Equations in Physical Units Linearization Process Transfer Functions of a Synchronous Machine Solution of the State Space and Measurement Equations Design of a Terminal Voltage Controller Design of a Classical Regulator Computer Simulation of Synchronous Machines Introduction Simulation Equations MATLAB(R) Simulation of Park's Equations Steady-State Check of Simulation Simulation of the Equations of Transformation Simulation Study Consideration of Saturation Effects Air Gap Saturation Field Saturation Approximate Models of Synchronous Machines Appendix 1: Identities Useful in AC Machine Analysis Appendix 2: Time Domain Solution of the State Equation Appendix 3: Three-Phase Fault Appendix 4: TrafunSM Appendix 5: SMHB Synchronous Machine Harmonic Balance

Product Details

  • publication date: 09/07/2012
  • ISBN13: 9781439880678
  • Format: Hardback
  • Number Of Pages: 606
  • ID: 9781439880678
  • weight: 1224
  • ISBN10: 1439880670
  • edition: 2nd Revised edition

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