The authors present a sparse-matrix formulation of the transient energy function method, to analyze the transient stability of large-scale power systems. The proposed formulation preserves the original network structure and avoids network reduction. Consequently, all matrices used in the calculations are very sparse, leading to a significant saving in computational time as compared to the reduced-network-formulation approach. The proposed solution can handle very-large-scale power systems which are beyond the scope of the current reduced-network techniques. The sparse formulation is applied to several practical utility systems of up to 300 generators and 1724 buses. It is concluded that the results obtained demonstrate the superiority and potential of the sparse formulation in the stability analysis of large-scale power systems.
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