Abstract-Stability is an important constraint in power system operation. Often trial and error heuristics are used that can be costly and imprecise. A new methodology that eliminates the need for repeated simulation to determine a transiently secure operating point is presented. The theoretical development is straightfforward: dynamic equations are converted to numerically equivalent algebraic equations and then integrated into the standard OPF formulation. Implementation issues and simulation results are discussed in the context of a 162-bus system.

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A cooperative control strategy was provided to regulate the active and reactive power outputs of multiple photovoltaic (PV) generators installed on a distribution network. The proposed control strategy not only makes a group of PVs converge and operate at the same ratio of available power, but also regulates the total active and reactive power outputs of the PVs such that the active power across a concerned line and the voltage of a critical bus are kept to a referenced value. The stability of the closed-loop dynamical system was analysed by considering some special properties of classical distribution networks, and the minimal requirement of the communication topology among the PVs was provided. Simulations on a radial distribution power system network were provided to verify the validness of the proposed control strategy.

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