A Compact Aggregated Unit Model for Short-term Hydro Power Generation Scheduling Based on Optimal Piecewise Approximation
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- 英文论文题名：A Compact Aggregated Unit Model for Short-term Hydro Power Generation Scheduling Based on Optimal Piecewise Approximation
- 论文作者：Jie Bai ; Qiaozhu Zhai ; Yuzhou Zhou
- 英文论文作者：Jie Bai ; Qiaozhu Zhai ; Yuzhou Zhou ; Systems Engineering Institute ; Xi'an Jiaotong University
- 年：2017
- 作者机构：Systems Engineering Institute,Xi'an Jiaotong University;
- 英文论文关键词：Short-term Hydro Scheduling ; Compact Aggregated Unit Model ; Optimal Piecewise Linear Approximation
- 会议召开时间：2017-07-26
- 会议录名称：第36届中国控制会议论文集（B）
- 英文会议录名称：Proceedings of the 36th Chinese Control Conference（B）
- 语种：英文
- 分类号：TV737
- 学会代码：KZLL
- 会议名称：第36届中国控制会议
- 会议地点：中国辽宁大连
- 主办单位：中国自动化学会控制理论专业委员会
- 学会名称：中国自动化学会控制理论专业委员会
- 页数：5
- 文件大小：285k
- 原文格式：D
- 会议级别：全国
摘要
This paper presents a compact aggregated unit model(CAUM) for short-term hydro power generation scheduling. The CAUM, which is obtained based on optimal piecewise linear approximation, represents the relationship between the maximum power generation level of the plant, total water discharge and the average storage of the reservoir. Different from the real-time optimal dispatch of the hydropower system, the CAUM is an off-line optimization. Meanwhile, the aggregation of the individual unit simplifies the short-term hydro power generation scheduling since all the individual unit related constraints are removed. By using the CAUM, the optimal power generation level can be rapidly determined and the short-term hydro power generation scheduling would be greatly simplified. Numerical testing results demonstrate that the method is effective.
This paper presents a compact aggregated unit model(CAUM) for short-term hydro power generation scheduling. The CAUM, which is obtained based on optimal piecewise linear approximation, represents the relationship between the maximum power generation level of the plant, total water discharge and the average storage of the reservoir. Different from the real-time optimal dispatch of the hydropower system, the CAUM is an off-line optimization. Meanwhile, the aggregation of the individual unit simplifies the short-term hydro power generation scheduling since all the individual unit related constraints are removed. By using the CAUM, the optimal power generation level can be rapidly determined and the short-term hydro power generation scheduling would be greatly simplified. Numerical testing results demonstrate that the method is effective.
This paper presents a compact aggregated unit model(CAUM) for short-term hydro power generation scheduling. The CAUM, which is obtained based on optimal piecewise linear approximation, represents the relationship between the maximum power generation level of the plant, total water discharge and the average storage of the reservoir. Different from the real-time optimal dispatch of the hydropower system, the CAUM is an off-line optimization. Meanwhile, the aggregation of the individual unit simplifies the short-term hydro power generation scheduling since all the individual unit related constraints are removed. By using the CAUM, the optimal power generation level can be rapidly determined and the short-term hydro power generation scheduling would be greatly simplified. Numerical testing results demonstrate that the method is effective.
引文
[1]A.Arce,T.Ohishi,and S.Soares,"Optimal dispatch of generating units of the Itaipu hydroelectric plant,"IEEETransactions on Power Systems,vol.17,no.1,pp.154-158,2002.
[2]G.Xiaohong,A.Svoboda,and L.Chao-An,"Scheduling hydro power systems with restricted operating zones and discharge ramping constraints,"IEEE Transactions on Power Systems,vol.14,no.1,pp.126-131,1999.
[3]G.W.Chang et al.,"Experiences with mixed integer linear programming based approaches on short-term hydro scheduling,"IEEE Transactions on Power Systems,vol.16,no.4,pp.743-749,2001.
[4]J.P.S.Catalao,S.J.P.S.Mariano,V.M.F.Mendes,and L.A.F.M.Ferreira,"Scheduling of head-sensitive cascaded hydro systems:A nonlinear approach,"in 2009 IEEE Power&Energy Society General Meeting,2009,pp.1-1.
[5]L.S.M.Guedes,P.d.M.Maia,A.C.Lisboa,D.A.G.Vieira,and R.R.Saldanha,"A unit commitment algorithm and a compact MILP model for short-term hydro-power generation scheduling,"IEEE Transactions on Power Systems,vol.PP,no.99,pp.1-1,2016.
[6]B.Tong,Q.Zhai,and X.Guan,"An MILP Based Formulation for Short-Term Hydro Generation Scheduling With Analysis of the Linearization Effects on Solution Feasibility,"IEEETransactions on Power Systems,vol.28,no.4,pp.3588-3599,2013.
[7]R.M.Lima,M.G.Marcovecchio,A.Q.Novais,and I.E.Grossmann,"On the Computational Studies of Deterministic Global Optimization of Head Dependent Short-Term Hydro Scheduling,"IEEE Transactions on Power Systems,vol.28,no.4,pp.4336-4347,2013.
[8]X.Li,T.Li,J.Wei,G.Wang,and W.W.G.Yeh,"Hydro Unit Commitment via Mixed Integer Linear Programming:A Case Study of the Three Gorges Project,China,"IEEE Transactions on Power Systems,vol.29,no.3,pp.1232-1241,2014.
[9]A.Hamann,G.Hug,and S.Rosinski,"Real-Time Optimization of the Mid-Columbia Hydropower System,"IEEE Transactions on Power Systems,vol.32,no.1,pp.157-165,2017.
[10]Q.Zhai,X.Xiao,and X.Li,"Aggregated hydro unit based model for short-term hydro generation scheduling,"in The 26th Chinese Control and Decision Conference(2014 CCDC),2014,pp.4454-4459.
[11]E.C.Finardi and E.L.da Silva,"Unit commitment of single hydroelectric plant,"Electric Power Systems Research,vol.75,no.2-3,pp.116-123,8//2005.
[12]A.Toriello and J.P.Vielma,"Fitting piecewise linear continuous functions,"European Journal of Operational Research,vol.219,no.1,pp.86-95,5/16/2012.
[13]Q.Zhai,X.Guan,and J.Yang,"Fast unit commitment based on optimal linear approximation to nonlinear fuel cost:Error analysis and applications,"Electric Power Systems Research,vol.79,no.11,pp.1604-1613,11//2009.
[14]IBM.IBM ILOG CPLEX Optimition Studio.Available:http://http://www-01.ibm.com/software/info/ilog/
[2]G.Xiaohong,A.Svoboda,and L.Chao-An,"Scheduling hydro power systems with restricted operating zones and discharge ramping constraints,"IEEE Transactions on Power Systems,vol.14,no.1,pp.126-131,1999.
[3]G.W.Chang et al.,"Experiences with mixed integer linear programming based approaches on short-term hydro scheduling,"IEEE Transactions on Power Systems,vol.16,no.4,pp.743-749,2001.
[4]J.P.S.Catalao,S.J.P.S.Mariano,V.M.F.Mendes,and L.A.F.M.Ferreira,"Scheduling of head-sensitive cascaded hydro systems:A nonlinear approach,"in 2009 IEEE Power&Energy Society General Meeting,2009,pp.1-1.
[5]L.S.M.Guedes,P.d.M.Maia,A.C.Lisboa,D.A.G.Vieira,and R.R.Saldanha,"A unit commitment algorithm and a compact MILP model for short-term hydro-power generation scheduling,"IEEE Transactions on Power Systems,vol.PP,no.99,pp.1-1,2016.
[6]B.Tong,Q.Zhai,and X.Guan,"An MILP Based Formulation for Short-Term Hydro Generation Scheduling With Analysis of the Linearization Effects on Solution Feasibility,"IEEETransactions on Power Systems,vol.28,no.4,pp.3588-3599,2013.
[7]R.M.Lima,M.G.Marcovecchio,A.Q.Novais,and I.E.Grossmann,"On the Computational Studies of Deterministic Global Optimization of Head Dependent Short-Term Hydro Scheduling,"IEEE Transactions on Power Systems,vol.28,no.4,pp.4336-4347,2013.
[8]X.Li,T.Li,J.Wei,G.Wang,and W.W.G.Yeh,"Hydro Unit Commitment via Mixed Integer Linear Programming:A Case Study of the Three Gorges Project,China,"IEEE Transactions on Power Systems,vol.29,no.3,pp.1232-1241,2014.
[9]A.Hamann,G.Hug,and S.Rosinski,"Real-Time Optimization of the Mid-Columbia Hydropower System,"IEEE Transactions on Power Systems,vol.32,no.1,pp.157-165,2017.
[10]Q.Zhai,X.Xiao,and X.Li,"Aggregated hydro unit based model for short-term hydro generation scheduling,"in The 26th Chinese Control and Decision Conference(2014 CCDC),2014,pp.4454-4459.
[11]E.C.Finardi and E.L.da Silva,"Unit commitment of single hydroelectric plant,"Electric Power Systems Research,vol.75,no.2-3,pp.116-123,8//2005.
[12]A.Toriello and J.P.Vielma,"Fitting piecewise linear continuous functions,"European Journal of Operational Research,vol.219,no.1,pp.86-95,5/16/2012.
[13]Q.Zhai,X.Guan,and J.Yang,"Fast unit commitment based on optimal linear approximation to nonlinear fuel cost:Error analysis and applications,"Electric Power Systems Research,vol.79,no.11,pp.1604-1613,11//2009.
[14]IBM.IBM ILOG CPLEX Optimition Studio.Available:http://http://www-01.ibm.com/software/info/ilog/