Modeling the electric power consumption in a multi-area system

被引:26
作者
Perninge, Magnus [1 ]
Knazkins, Valerijs [1 ]
Amelin, Mikael [1 ]
Soder, Lennart [1 ]
机构
[1] Royal Inst Technol, Div Elect Power Syst, Stockholm, Sweden
来源
EUROPEAN TRANSACTIONS ON ELECTRICAL POWER | 2011年 / 21卷 / 01期
关键词
electric power consumption; Nordic power system; continuous time; mean reversion; stochastic modeling;
D O I
10.1002/etep.450
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this article a model of the electric power consumption in a multi-area power system is derived. The model is based on stochastic differential equations to mimic the stochastic behavior of electric power consumption in large systems. The developed model considers correlations between the consumptions in the different areas. A numerical example showing how to find the parameters of the process will be given. The load data used in the numerical example is hourly energy consumption data for the Nordic countries: Sweden, Norway, and Finland. Copyright (C) 2010 John Wiley & Sons, Ltd.
引用
收藏
页码:413 / 423
页数:11
相关论文
共 21 条
[1]  
Alaton P., 2002, Applied Mathematical Finance, V9, P1, DOI [10.1080/13504860210132897, DOI 10.1080/13504860210132897]
[2]  
ALFUHAID AS, 1997, IEEE T POWER SYSTEMS, V12, P1749
[3]  
[Anonymous], 2002, HDB BROWNIAN MOTION, DOI DOI 10.1007/978-3-0348-8163-0
[4]  
Barndorff-Nielsen O.E, 1997, Finance Stoch, V2, P41, DOI DOI 10.1007/S007800050032
[5]  
BARNDORFFNIELSE.OE, 2002, J ROYAL STAT SOC B, V64, P133
[6]  
BIBBY BM, 1990, BERNOULLI, V1, P17
[7]   Estimating stochastic volatility diffusion using conditional moments of integrated volatility [J].
Bollerslev, T ;
Zhou, H .
JOURNAL OF ECONOMETRICS, 2002, 109 (01) :33-65
[8]   USE AND ABUSE OF REGRESSION [J].
BOX, GEP .
TECHNOMETRICS, 1966, 8 (04) :625-&
[9]  
CHEN WK, OPTION PRICING ORNST
[10]  
Chung K.L., 1983, INTRO STOCHASTIC INT