并联供水水库联合调度规则最优性条件研究Ⅱ:算法开发与实例研究
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摘要
利用水库调度问题的特征开发高效求解算法是水库优化调度问题算法研究的核心内容。本文以两阶段调度问题与多阶段调度问题应保持最优策略集的一致性作为假设条件,基于本文上篇中并联供水水库两阶段调度问题的最优性条件(K-T条件),设计了该类水库调度问题的优化求解方法,并通过两阶段调度模型的滚动运行,实现并联水库系统长时序优化调度的目的。以辽宁省碧流河水库与英那河水库为例,开展了并联供水工程研究,结果表明:新的算法具有合理性与有效性,较由限制供水规则与参数式规则组合构成的并联供水水库联合调度规则,显著改善了用水户缺水状况,提高了供水保证率。
Following the assumption that multi-period reservoir optimal operation problem can be formulated by multiple two-period optimal operation problems,this paper designs a new algorithm to solve the multiperiod operation model on the basis of K-T conditions presented in companion paper. Further,to verify the effectiveness of the new algorithm,a real-world parallel reservoir supply system in Liaoning Province,i.e.,Biliu River reservoir and Yingna River reservoir,is used as a case study. The numerical results show that less water shortage and higher supply reliability are obtained from the new algorithm with comparison of the performances of the commonly used operation rule.
Following the assumption that multi-period reservoir optimal operation problem can be formulated by multiple two-period optimal operation problems,this paper designs a new algorithm to solve the multiperiod operation model on the basis of K-T conditions presented in companion paper. Further,to verify the effectiveness of the new algorithm,a real-world parallel reservoir supply system in Liaoning Province,i.e.,Biliu River reservoir and Yingna River reservoir,is used as a case study. The numerical results show that less water shortage and higher supply reliability are obtained from the new algorithm with comparison of the performances of the commonly used operation rule.
引文
[1]曾祥,胡铁松,王敬,等.并联供水水库调度规则最优性条件研究Ⅰ:理论分析[J].水利学报,2018,49(12):1481-1488.
[2]赵铜铁钢.考虑水文预报不确定性的水库优化调度研究[D].北京:清华大学,2013.
[3] ZHAO T T G,CAI X M,LEI X H,et al. Improved dynamic programming for reservoir operation optimization with concave utility functions[J]. Journal of Water Resources Planning and Management,2012,138(6):590-596.
[4] YOU J Y,CAI X M. Hedging rule for reservoir operations:2. A numerical model[J]. Water Resources Re?search,2008,44,W01416,doi:10.1029/2006WR005482.
[5] ZHAO J S,CAI X M,WANG Z J. Optimality conditions for a two-stage reservoir operation problem[J]. Water Resources Research,2011,47,W08503,doi:10.1029/2010WR009971.
[6] XU W Z,ZHAO J S,ZHAO T T G,et al. Adaptive reservoir operation model incorporating nonstationary inflow prediction[J]. Journal of Water Resources Planning and Management,2015,141(8):04014099.
[7] ZENG X,HU T S,XIONG L H,et al. Derivation of operation rules for reservoirs in parallel with joint water de?mand[J]. Water Resources Research,2015,51(12):9539-9563.
[8]曾祥,胡铁松,郭旭宁,等.并联供水水库解析调度规则研究Ⅱ:多阶段模型与应用[J].水利学报,2014,45(9):1120-1126.
[9]胡铁松,曾祥,郭旭宁,等.并联供水水库解析调度规则研究Ⅰ:两阶段模型[J].水利学报,2014,45(8):883-891.
[2]赵铜铁钢.考虑水文预报不确定性的水库优化调度研究[D].北京:清华大学,2013.
[3] ZHAO T T G,CAI X M,LEI X H,et al. Improved dynamic programming for reservoir operation optimization with concave utility functions[J]. Journal of Water Resources Planning and Management,2012,138(6):590-596.
[4] YOU J Y,CAI X M. Hedging rule for reservoir operations:2. A numerical model[J]. Water Resources Re?search,2008,44,W01416,doi:10.1029/2006WR005482.
[5] ZHAO J S,CAI X M,WANG Z J. Optimality conditions for a two-stage reservoir operation problem[J]. Water Resources Research,2011,47,W08503,doi:10.1029/2010WR009971.
[6] XU W Z,ZHAO J S,ZHAO T T G,et al. Adaptive reservoir operation model incorporating nonstationary inflow prediction[J]. Journal of Water Resources Planning and Management,2015,141(8):04014099.
[7] ZENG X,HU T S,XIONG L H,et al. Derivation of operation rules for reservoirs in parallel with joint water de?mand[J]. Water Resources Research,2015,51(12):9539-9563.
[8]曾祥,胡铁松,郭旭宁,等.并联供水水库解析调度规则研究Ⅱ:多阶段模型与应用[J].水利学报,2014,45(9):1120-1126.
[9]胡铁松,曾祥,郭旭宁,等.并联供水水库解析调度规则研究Ⅰ:两阶段模型[J].水利学报,2014,45(8):883-891.