Day-Ahead Electricity Market State-Space Model and Its Power Production, Demand and Price Forecasting Algorithm Using H-infinity Filter

M. Rana, A. Abdelhadi
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Abstract

Development of an electricity market model is very important step of forecasting power of generators and client demand. This paper proposes a day-ahead state-space power system model which is obtained by a set of partial differential equations. After simplifications, the 4th order user-friendly state-space power system model is obtained where the measurements are obtained by a set of sensors. Secondly, we proposed an H-infinity based power system states forecasting algorithm where process and measurement noise covariances are not need to know. In each iteration, the residual error between true and forecasted states are minimised lead to an accurate forecasted system states. Numerical simulation illustrates that the proposed scheme can able to forecast the system states within 1–12 seconds.
日前电力市场状态空间模型及其基于h∞滤波器的产、需、价预测算法
电力市场模型的建立是预测发电机组功率和用户需求的重要步骤。本文提出了一种由一组偏微分方程得到的日前状态空间电力系统模型。经过简化,得到四阶用户友好的状态空间电力系统模型,其中测量由一组传感器获得。其次,提出了一种不需要知道过程噪声和测量噪声协方差的基于h∞的电力系统状态预测算法。在每次迭代中,将真实状态与预测状态之间的残差最小化,从而得到准确的预测系统状态。数值仿真结果表明,该方法能够在1 ~ 12秒内预测系统状态。
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