Electrical load forecasting based on self-adaptive chaotic neural network using Chebyshev map

The importance of electrical load forecasting stems from energy planning and formulating strategies in power system. In this paper, a novel chaotic back-propagation (CBP) neural network algorithm based on the merit of Chebyshev map is proposed. To improve the accuracy of proposed algorithm, self-adaptive gradient correction method is used to eliminate the precocious phenomenon of network. An additional inertial term including chaotic sequence is increased in the process of optimizing the weight value and threshold value of network. The ergodicity of chaotic variables within the range of [−1, 1] can decrease the oscillation trend of network, accelerate the learning speed and overcome the fake saturation problem so as to greatly improve the forecasting ability of proposed algorithm. The simulation results of actual cases indicate that the proposed CBP neural network is advantageous in many respects in comparison with the previous methods studied.