Abstract
The material in this chapter focuses on the relationship between power system dynamic equilibrium, power flow, and operating point stability. It addresses issues relating steady-state equilibrium in electric power systems with possible implications about stability of the associated operating point. It presents various connections between dynamic models, dynamic equilibrium, power-flow analysis, and the significance of singularities of Jacobian matrices involved in various computations. It includes advances on earlier work on this subject and provides recent results on computing the equilibrium of “post-contingency” models. These post-contingency models are created to enforce the concept of “constant control inputs” in the steady-state analysis. This impacts subtle things such as post-contingency speed (frequency) and remote voltage regulation. The concepts are illustrated on small system models. Different methods of computation are presented to provide alternatives for possible practical implementation.
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Acknowledgments
The authors thank Mr. Rodney Yeu for contributing the results from his graduate thesis on computing the post-contingency equilibrium point. Special thanks also to Mr. Tom Moone for providing editorial assistance. This work was supported in part by National Science Foundation grants NSF ECS 87-19055 and NSF EEC 0120153, and in part by the Grainger endowments to the University of Illinois.
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Sauer, P., Pai, M. (2014). Power System Dynamic Equilibrium, Power Flow, and Steady-State Stability. In: Savulescu, S. (eds) Real-Time Stability in Power Systems. Power Electronics and Power Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-06680-6_1
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DOI: https://doi.org/10.1007/978-3-319-06680-6_1
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