Transient stability analysis of synchronous motors
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Bibliographic Information
Transient stability analysis of synchronous motors
（Studies in electrical and electronic engineering, 36）
Elsevier, 1990
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Description and Table of Contents
Description
The synchronous motor, despite its apparently inherent drawbacks, has become one of the most commonly used driving units for supplying power. In particular, the rapid progress in high-power semiconductor technology has opened up attractive possibilities for designing fast and multivariable controllers for handling abnormal operational conditions. A systematic study of the questions related to the nonstationary performance of synchronous motors accompanied by a change in kinetic energy of their inertial masses is presented in this volume. Special attention is paid to the transient stability of synchronous motors subjected to various abnormal operating conditions. The generalized investigations fully exploit the optimization offered by computer methods, enabling the authors to avoid the basic drawbacks of the purely analytical methods and to draw up some generalized diagrams of the ultimate transient stability limits. Theoretical results are compared with a number of practical examples. Of the transient faults, the problems of resynchronisation are the most closely examined, e.g.
Table of Contents
Operating Conditions of the Synchronous Machine. Basic definitions of the stability of synchronous machines. Typical transient faults. Transient stability criterion. Analytical Description of the Synchronous Machine. Basic conventions on the polarity of torques and powers. Fundamental equations of the synchronous machine. Transformed supply voltage. The Power of the Synchronous Machine. Instantaneous power and torque of the synchronous machine. Steady-state operating conditions. Transient operating conditions. Subtransient operating conditions. Verification of power equations by simulation. Asynchronous Power of the Synchronous Machine. Torque equation of the synchronous machine in asynchronous operation. Generalization of the components of asynchronous torque. Steady-state (mean) component of asynchronous torque. Periodic component of asynchronous torque. Analytical Solution of Transient Disturbances. Primitive equation of transient operation of the synchronous machine. Analytical solution of the primitive equation of transient operation. The method of small swings. Analysis of peak slip. Equivalent motion trajectory. Synchronizing transient stability at the end of frequency starting. Transient disturbance from synchronous operation. Synchronization limit of the synchronous motor. Computer-aided Solution of Transient Faults. Fundamental division of transient processes in the synchronous machine. Simulation solution of the primitive equation. Generalization of the transient equation of a synchronous machine. Generalized simulation solution of the synchronization process. Experimental verification of synchronization stability limits. Stability at a sudden supply voltage drop. A mathematical model of the fundamental equations of the synchronous machine. Simulation solution by means of fundamental equations. Voltage induced in the field circuit at asynchronous operation. Appendix I. Per-unit Power of Inertial Masses and Acceleration Time. Appendix II. Per-unit Quantities of the Synchronous Machine. Stator reference values. Effect of the equivalent schematic diagram configuration. Equivalent rotor reactances X RC , X d0 , X Q0 . Reduction of the direct-axis equivalent diagram with unequal mutual reactances to the classical form. Rotor reference values. Current conversions and reference currents in the direct axis. The remaining direct-axis reference values. Quadrature-axis reference values. Appendix III. Derivation of Mutual Equivalent Reactances. Reference reactance X an . Unsaturated reactances of armature reaction X ad , X aq . Mutual reactances of stator and field windings X Fd X dF . Mutual reactances X Dd , X dD , X Qq , X gQ of the stator and the equivalent damper windings. Mutual reactance X FD between the field and equivalent damper windings in the direct axis. Appendix IV . Shape Factors of Magnetic Field in the Air Gap. Shape factor C F1 of the direct-axis field winding. Shape factors C d1 , C q1 of armature reaction.
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