Real-Time Optimization with Prior-selected Time Convergence for Economic Dispatch*

Abstract

In this study, a prior-selected time convergence (PTC) optimization algorithm is proposed to obtain the optimal solution to RTEDPs in prior-selected time (PT) with mathematical convergence analysis. The prior-selected convergence time is independent of initial conditions and any problem parameter. To the best of the author's knowledge, this is the first time an PTC optimization algorithm is introduced, which obtains the optimal solution for the dual optimization problem of RTEDPs in PT. The implementation of the proposed solution is simple, and only one tuning parameter is required using the adaptive learning rate. The numerical simulations were conducted using an IEEE 118 bus grid under various situations such as constraint variations, load variations, and generator plug-off. The simulation results demonstrate that the proposed method always guarantee PTC in 10 iterative simulations with random initial conditions and different coefficients of local objective function while satisfying the demand-supply energy balance.