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Steady-state and transient stability analyses of multimachine power systems using five different catastrophe models

University of British Columbia

Steady-state and transient stability analyses are important in planning and operation of electric power systems. For large power systems, such analyses are very time consuming. On-line stability assessment is necessary for secure and reliable operation because power systems are being operated close to their, maximum limits. In the last three decades, research work has been done in the area of fast on-line assessment by direct methods in order to minimize computational time. In these methods, major difficulties are power system modeling, stability system assessment, and adaptation to system operation. Catastrophe theory was applied to study power system stability by Deng and Zhang for steady-state stability, assessment and by Wvong, Mihiring, and Parsi-Feraidoonian for transient stability assessment. Although the cusp catastrophe was proposed by Deng and Zhang to study the steady-state stability assessment of power systems, no detailed formulation or specific results were presented. The swallowtail catastrophe was proposed to study the transient stability of power systems by Wvong, Mihiring and Parsi-Feraidoonian, but research did not identify the critical clearing angle values. In this thesis, further research is done on using catastrophe theory for steady-state and transient stability of power systems. In this thesis, different catastrophe models such as the fold, cusp, swallowtail, butterfly, and wigwam catastrophes are derived for steady-state stability assessment. The accuracy and limitations of these different catastrophe models on two test systems (three-machine WSCC system and seven-machine CIGRE system) are discussed. Five catastrophe models are also derived for transient stability assessment of power systems. The critical clearing angle of the critical group of machines for two test systems for various balanced three-phase faults are then determined using the cusp catastrophe model.

Thesis/Dissertation

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2009-05-19

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http://hdl.handle.net/2429/7947

Electrical and Computer Engineering

University of British Columbia

UBCV

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