1. Sufficient Conditions for Robust Frequency Stability of AC Power Systems.
- Author
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Alves, Erick, Bergna-Diaz, Gilbert, Brandao, Danilo, and Tedeschi, Elisabetta
- Subjects
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FREQUENCY stability , *RENEWABLE energy transition (Government policy) , *REACTIVE power , *POWER system simulation , *ALGEBRAIC equations , *TEST systems - Abstract
This paper analyses the frequency stability of ac grids in the presence of non-dispatchable generation and stochastic loads. Its main goal is to evaluate conditions in which the system is robust to large, persistent active power disturbances without recurring to time-domain simulations. Considering the ongoing energy transition to more renewable sources, defining robustness boundaries is a key topic for power system planning and operation. However, much of the research on long-term studies has not dealt with robust dynamic constraints, while short-term analyses usually depend on time-consuming simulations to evaluate nonlinearities. To bridge this gap, the authors derive an algebraic equation that provides sufficient conditions for robust frequency stability in ac power systems and a relationship among four key quantities: the maximum active power perturbation, the minimum system damping, the steady-state and the transient frequency limits. To achieve this goal, it uses a nonlinear average-model of the ac grid and Lyapunov's direct method extended by perturbation analysis requiring only limited knowledge of the system parameters. The algebraic calculations are validated using time-domain simulations of the IEEE 39-bus test system and results are compared to the traditional Swing Equation model. [ABSTRACT FROM AUTHOR]
- Published
- 2021
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