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Intrinsic Geometric Analysis of the Network Reliability and Voltage Stability

2010/11/12 by N. Gupta, Neeraj Gupta, B. N. Tiwari +6
Engineering · Mathematics · Physics and Astronomy · #Applications (stat.AP) #Data Analysis #FOS: Computer and information sciences #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods for differential equations #Optimal Power Flow Distribution #Power System Optimization and Stability #Statistics and Probability (physics.data-an) #math-ph #math.MP #physics.data-an #stat.AP

paper · pdf · doi:10.48550/arxiv.1011.2929

8 pages, 4 figures, 2 tables, Index Terms -- Circuit modeling, geometric modeling, parameter space method, power system reliability, power system stability, transmission planning, nonlinear methods, geometric controls, components optimization

arxiv created 2010/11/12 · openalex publication_date 2010/11/12 · arxiv updated 2010/11/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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

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