Abstract

As the penetration level of renewable distributed generations such as wind turbine generator and photovoltaic stations increases, the load frequency control issue of a multi-area interconnected power system becomes more challenging. This paper presents an adaptive model predictive load frequency control method for a multi-area interconnected power system with photovoltaic generation by considering some nonlinear features such as a dead band for governor and generation rate constraint for steam turbine. The dynamic characteristic of this system is formulated as a discrete-time state space model firstly. Then, the predictive dynamic model is obtained by introducing an expanded state vector, and rolling optimization of control signal is implemented based on a cost function by minimizing the weighted sum of square predicted errors and square future control values. The simulation results on a typical two-area power system consisting of photovoltaic and thermal generator have demonstrated the superiority of the proposed model predictive control method to these state-of-the-art control techniques such as firefly algorithm, genetic algorithm, and population extremal optimization-based proportional-integral control methods in cases of normal conditions, load disturbance and parameters uncertainty.

Highlights

  • Load-frequency control (LFC) issue in a multi-area interconnected power system is essentially to design an effective and efficient controller to match the total generations with the total load demand and the corresponding system losses

  • An adaptive model predictive control (MPC) method is proposed for load frequency control (LFC) issue of a multi-area interconnected power system with PV generation

  • The key operations of this proposed method include formulating the LFC issue as a discrete-time state space model, obtaining the dynamic predictive model by introducing an expanded state vector, and rolling optimization of control output signal by gradient descent method based on a cost function minimizing the weighted sum of square predicted errors and square future control values

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Summary

Introduction

Load-frequency control (LFC) issue in a multi-area interconnected power system is essentially to design an effective and efficient controller to match the total generations with the total load demand and the corresponding system losses. The main objective of LFC is to minimize the frequency deviations of each area and tie-line power flows between neighboring control areas subjecting to some pre-specified tolerances when load demands fluctuate or resonance attack [1,2]. As the most popular control technique, proportional-integral-derivative (PID) controller and its various variations have been widely applied to the LFC issue [3,4,5,6,7,8]. It should be noted that there are different evolutionary algorithms based PID or proportional-integral (PI) control methods for the LFC issue of multi-area power systems. Genetic algorithm 5,6, hybrid particle swarm optimization [20], differential evolution [21,22], imperial competitive algorithm [23], firefly algorithm [24], non-dominated sorting genetic algorithm-II (NSGA-II) [8], multi-objective optimization

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