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UBC Theses and Dissertations

Capacitor compensation effects on the performance of synchronous machines connected to long transmission lines Conteh, Amadu Mustapha


The increase in length, size and voltages of transmission lines and the development of high voltage capacitors have revitalized interest in recent years in the study of the performance characteristics of series or shunt capacitor compensated power systems. Most of the investigations are performed, however, either on the synchronous machine or on the transmission line. Major contributions were made by Butler², Bodine³, Dineley⁵, Peterson¹⁴ and others, as outlined in chapter 1. The thesis is to develop a general analytical method for the study of the compensation problem including the effects of both the salient pole synchronous machine and the transmission line with various power factor loads connected at the receiving end. The equations for the series capacitor compensated power system with balanced load are derived in chapter 2. The transmission line is represented by a three phase nominal-T network. The transmission line equations are transformed into Park's cross field reference frame which is employed for the formulation of equations for the synchronous machine. The equations obtained can be applied to both transient and steady state analyses. Chapter 3 also studies the series capacitor compensated system except that the load is unbalanced. The equations for the study of the shunt capacitor compensated system are developed in chapter 4. Both balanced and unbalanced loads are included. Two numerical examples of practical systems are presented to illustrate the applications of the method. The synchronous machine internal voltage against load current characteristics and those of the power angle between the internal voltage and the receiving end voltage versus load current, balanced and unbalanced, at various power factor, and with different degrees of series or shunt compensation of the system are investigated. The numerical results from digital computation confirm that the series capacitor compensation is more effective than the shunt capacitor compensation and that both the series and shunt capacitor compensations increase the transmission capacity.

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