Medium-term electric load forecasting using singular value decomposition

Medium-term load forecasting is an important stage in electric power system planning and operation. It is used in maintenance scheduling, and to plan for outages and major works in the power system. A new technique is proposed which uses hourly loads of successive years to predict hourly loads and peak load for the next selected time span. The proposed method implements a new combination of some existing and well established techniques. This is done by first filtering out the load trend, then applying the SVD (singular value decomposition) technique to de-noise the resulting signal. Hourly load is thus divided to three main components: a) a load trend-following component, b) a random component, and c) a de-noised component. Results of applying the technique to the Jordanian power system showed that good forecasting accuracies are attained. In addition, the proposed method outperforms the traditional exponential curve fitting method. The peak load error was found to be less than 5% using the proposed methodology. It was also found that a lag period of 4 years suits the load forecasting purposes of the Jordanian power system. The proposed method is generic and can be implemented to the hourly loads of any power system.

[1]  Les Oakshott Forecasting: Time Series Analysis , 2009 .

[2]  N. Draper,et al.  Applied Regression Analysis , 1967 .

[3]  John V. Ringwood,et al.  Integration of multi-time-scale models in time series forecasting , 2000, Int. J. Syst. Sci..

[4]  John Boland,et al.  Generation of synthetic sequences of electricity demand: Application in South Australia , 2007 .

[5]  G. Strang Introduction to Linear Algebra , 1993 .

[6]  Rafael Gouriveau,et al.  Medium term load forecasting using ANFIS predictor , 2010, 18th Mediterranean Conference on Control and Automation, MED'10.

[7]  Bart De Moor,et al.  The singular value decomposition and long and short spaces of noisy matrices , 1993, IEEE Trans. Signal Process..

[8]  Felix F. Wu,et al.  Applied Mathematics for Restructured Electric Power Systems , 2005, IEEE Transactions on Automatic Control.

[9]  E. Georgopoulou,et al.  Models for mid-term electricity demand forecasting incorporating weather influences , 2006 .

[10]  B. Bowerman,et al.  Forecasting, time series, and regression : an applied approach , 2005 .

[11]  Michael A. Malcolm,et al.  Computer methods for mathematical computations , 1977 .

[12]  Lester C. Hunt,et al.  Electricity demand for Sri Lanka : A time series analysis , 2008 .

[13]  V. Bianco,et al.  Electricity consumption forecasting in Italy using linear regression models , 2009 .

[14]  Joe H. Chow,et al.  Applied mathematics for restructured electric power systems : optimization, control, and computational intelligence , 2005 .

[15]  Hesham K. Alfares,et al.  Electric load forecasting: Literature survey and classification of methods , 2002, Int. J. Syst. Sci..

[16]  Nima Amjady,et al.  Short-term hourly load forecasting using time-series modeling with peak load estimation capability , 2001 .

[17]  Lei Xu,et al.  Independent component ordering in ICA time series analysis , 2001, Neurocomputing.

[18]  David E. Booth Time Series: Forecasting, Simulation, Applications , 1993 .

[19]  S. A. Soliman,et al.  Long-term/mid-term electric load forecasting based on short-term correlation and annual growth , 2005 .

[20]  J. P. Rothe,et al.  Short Term Load Forecasting Using Multi Parameter Regression , 2009, ArXiv.