Medium range forecasting of hourly power system load by time series analysis using the Walsh transform

作者: T.K. Basu , T.K. Bhattacharya , P. Purkayastha

DOI: 10.1016/0142-0615(91)90022-N

关键词: Orthogonal transformationTime seriesHadamard transformMathematical optimizationDemand forecastingTelecommunicationsStochastic processTerm (time)Electric power systemMathematicsSeries (mathematics)Electrical and Electronic EngineeringEnergy Engineering and Power Technology

摘要: Abstract Medium range forecasts of hourly load demand for a span 24 h to 168 (one week) are required the preparation short term maintenance schedules unit auxiliaries and peaking stations apart from maintaining security constraints minimizing operational costs. Forecasts daily seven days by available multiplicative SARIMA model suffer divergent error levels multistep ahead forecasts, take all features any particular day, order such models will be prohibitively large. In present paper unique approach has been made time series analysis stochastic processes: multigrade periodicities in curve have gainfully exploited grouping data subgroups characterizing each week day separately then group is replaced an orthogonal transform known as Walsh transform. The amplitudes transformed spectrum modelled Box-Jenkins taking inverse (Walsh) transforms.

参考文章(10)
T.N. Goh, S.S. Choi, C.H. Tan, K.C. Tan, A comparative study of short-term forecasting of energy and peak power demand Electric Power Systems Research. ,vol. 5, pp. 63- 71 ,(1982) , 10.1016/0378-7796(82)90009-8
A. K. MAHALANABIS, M. HANMANDLU, R. S. RANA, Load modelling of an interconnected power system for short term prediction International Journal of Systems Science. ,vol. 11, pp. 445- 453 ,(1980) , 10.1080/00207728008967029
TURAN GÖNEN, LOAD FORECASTING USING BOX‐JENKINS METHODOLOGY Compel-the International Journal for Computation and Mathematics in Electrical and Electronic Engineering. ,vol. 3, pp. 35- 46 ,(1984) , 10.1108/EB009986
Thomas Harris, D. W. Bunn, E. D. Farmer, Comparative models for electrical load forecasting Technometrics. ,vol. 28, pp. 403- ,(1986) , 10.2307/1268996
G. Gross, F.D. Galiana, Short-term load forecasting Proceedings of the IEEE. ,vol. 75, pp. 1558- 1573 ,(1987) , 10.1109/PROC.1987.13927
George Edward Pelham Box, Gwilym M. Jenkins, Time series analysis, forecasting and control ,(1970)
Gordon K. C. Chen, Peter R. Winters, Forecasting Peak Demand for an Electric Utility with a Hybrid Exponential Model Management Science. ,vol. 12, pp. 531- 537 ,(1966) , 10.1287/MNSC.12.12.B531
Loren Enochson, Robert K. Otnes, Digital time series analysis ,(1972)
A. R. Tremayne, A. C. Harvey, Time Series Models. Economica. ,vol. 50, pp. 216- ,(1983) , 10.2307/2554073
C. Chatfield, D. L. Prothero, Box‐Jenkins Seasonal Forecasting: Problems in a Case‐Study Journal of the Royal Statistical Society: Series A (General). ,vol. 136, pp. 295- 315 ,(1973) , 10.2307/2344994