Comparative Implementation of Numerical Integration Methods for Transient Stability Constrained Optimal Power Flow

摘要

Transient Stability Constrained Optimal Power Flow (TSCOPF) is a non-linear mathematical programming problem that optimizes the operation of power systems considering steady state and dynamic constrains. TSCOPF models extend the OPF solution by considering the dynamic behavior of the system. One of the main approaches in TSCOPF studies discretizes the differential equations representing the dynamics of the system and includes them in the optimization problem. This paper evaluates the impact of numerical integration methods and time steps on TSCOPF. The results show that: 1) the forward Euler method obtains the most conservative representation for all cases evaluated; 2) as the integration time step increases, the backward Euler method and the trapezoidal rule tend to dampen electromechanical oscillations; and 3) the adequate use of a variable integration time step achieves a reduction in the number of equations, variables and computation times, while maintaining the accuracy on the results.