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This paper presents the intrinsic geometric model for the solution of powersystem planning and its operation. This problem is large-scale and nonlinear,in general. Thus, we have developed the intrinsic geometric model for thenetwork reliability and voltage stability, and examined it for the IEEE 5 bussystem. The robustness of the proposed model is illustrated by introducingvariations of the network parameters. Exact analytical results show theaccuracy as well as the efficiency of the proposed solution technique.

Intrinsic Geometric Analysis of the Network Reliability and Voltage Stability