In contrast to most existing works on robust unit commitment(UC),this study proposes a novel big-M-based mixed-integer linear programming(MILP)method to solve security-constrained UC problems considering the allowable...In contrast to most existing works on robust unit commitment(UC),this study proposes a novel big-M-based mixed-integer linear programming(MILP)method to solve security-constrained UC problems considering the allowable wind power output interval and its adjustable conservativeness.The wind power accommodation capability is usually limited by spinning reserve requirements and transmission line capacity in power systems with large-scale wind power integration.Therefore,by employing the big-M method and adding auxiliary 0-1 binary variables to describe the allowable wind power output interval,a bilinear programming problem meeting the security constraints of system operation is presented.Furthermore,an adjustable confidence level was introduced into the proposed robust optimization model to decrease the level of conservatism of the robust solutions.This can establish a trade-off between economy and security.To develop an MILP problem that can be solved by commercial solvers such as CPLEX,the big-M method is utilized again to represent the bilinear formulation as a series of linear inequality constraints and approximately address the nonlinear formulation caused by the adjustable conservativeness.Simulation studies on a modified IEEE 26-generator reliability test system connected to wind farms were performed to confirm the effectiveness and advantages of the proposed method.展开更多
针对低碳背景下的多微电网优化配置问题,提出一种基于阶梯碳交易的含电转气(Power to Gas,P2G)的多微电网优化配置方法。首先,引入阶梯碳交易机制,以降低微电网的碳排量。其次,基于微电网所组成的联盟,以年投资成本和日运行维护成本最小...针对低碳背景下的多微电网优化配置问题,提出一种基于阶梯碳交易的含电转气(Power to Gas,P2G)的多微电网优化配置方法。首先,引入阶梯碳交易机制,以降低微电网的碳排量。其次,基于微电网所组成的联盟,以年投资成本和日运行维护成本最小,建立含P2G和共享储能的多微电网双层优化配置模型,使用KKT条件和Big-M法将双层模型转化为单层线性模型求解,并通过Shapley值法将联盟的最优经济成本进行分摊。最后,对P2G设备价格进行敏感性分析。通过分析对比多场景下的最优配置结果,验证了所提模型的低碳性和经济性。展开更多
梯级水电短期调度时需保障各电站下游河段的生态要求,而生态调度的深入研究要求生态约束越来越多样化,使得流域梯级短期优化调度问题愈加复杂。该文首先将生态约束按流量约束和控制方式分为Ⅰ类、Ⅱ类和Ⅲ类,满足梯级库群复杂的生态调...梯级水电短期调度时需保障各电站下游河段的生态要求,而生态调度的深入研究要求生态约束越来越多样化,使得流域梯级短期优化调度问题愈加复杂。该文首先将生态约束按流量约束和控制方式分为Ⅰ类、Ⅱ类和Ⅲ类,满足梯级库群复杂的生态调度要求;接着以剩余负荷峰谷差最小为目标,构建了耦合复杂生态约束的梯级水电短期日前调峰模型;最后利用分段线性化技术处理一元水力非线性约束,将四边形网格栅格化技术与第二类特殊顺序集(special ordered sets of type 2,SOS2)约束建模方法结合处理二元电力非线性约束,采用大M法对较为复杂的Ⅲ类生态约束进行线性化,将原模型转化为标准混合整数线性规划(mixed-integer linear programming,MILP)模型后进行求解。以乌江干流(贵州段)6座梯级水库为工程背景,在汛枯期不同来水场景下验证了模型的有效性且计算结果较逐次逼近动态规划(dynamic programming successive approximation,DPSA)算法优越性显著,通过与3个参照模型的结果对比分析得出生态约束的设置与类型会明显影响调峰效果,强调水利工程生态流量合理设计的必要性。展开更多
基金State Grid Jiangsu Electric Power Co.,Ltd(JF2020001)National Key Technology R&D Program of China(2017YFB0903300)State Grid Corporation of China(521OEF17001C).
文摘In contrast to most existing works on robust unit commitment(UC),this study proposes a novel big-M-based mixed-integer linear programming(MILP)method to solve security-constrained UC problems considering the allowable wind power output interval and its adjustable conservativeness.The wind power accommodation capability is usually limited by spinning reserve requirements and transmission line capacity in power systems with large-scale wind power integration.Therefore,by employing the big-M method and adding auxiliary 0-1 binary variables to describe the allowable wind power output interval,a bilinear programming problem meeting the security constraints of system operation is presented.Furthermore,an adjustable confidence level was introduced into the proposed robust optimization model to decrease the level of conservatism of the robust solutions.This can establish a trade-off between economy and security.To develop an MILP problem that can be solved by commercial solvers such as CPLEX,the big-M method is utilized again to represent the bilinear formulation as a series of linear inequality constraints and approximately address the nonlinear formulation caused by the adjustable conservativeness.Simulation studies on a modified IEEE 26-generator reliability test system connected to wind farms were performed to confirm the effectiveness and advantages of the proposed method.
文摘针对低碳背景下的多微电网优化配置问题,提出一种基于阶梯碳交易的含电转气(Power to Gas,P2G)的多微电网优化配置方法。首先,引入阶梯碳交易机制,以降低微电网的碳排量。其次,基于微电网所组成的联盟,以年投资成本和日运行维护成本最小,建立含P2G和共享储能的多微电网双层优化配置模型,使用KKT条件和Big-M法将双层模型转化为单层线性模型求解,并通过Shapley值法将联盟的最优经济成本进行分摊。最后,对P2G设备价格进行敏感性分析。通过分析对比多场景下的最优配置结果,验证了所提模型的低碳性和经济性。
文摘梯级水电短期调度时需保障各电站下游河段的生态要求,而生态调度的深入研究要求生态约束越来越多样化,使得流域梯级短期优化调度问题愈加复杂。该文首先将生态约束按流量约束和控制方式分为Ⅰ类、Ⅱ类和Ⅲ类,满足梯级库群复杂的生态调度要求;接着以剩余负荷峰谷差最小为目标,构建了耦合复杂生态约束的梯级水电短期日前调峰模型;最后利用分段线性化技术处理一元水力非线性约束,将四边形网格栅格化技术与第二类特殊顺序集(special ordered sets of type 2,SOS2)约束建模方法结合处理二元电力非线性约束,采用大M法对较为复杂的Ⅲ类生态约束进行线性化,将原模型转化为标准混合整数线性规划(mixed-integer linear programming,MILP)模型后进行求解。以乌江干流(贵州段)6座梯级水库为工程背景,在汛枯期不同来水场景下验证了模型的有效性且计算结果较逐次逼近动态规划(dynamic programming successive approximation,DPSA)算法优越性显著,通过与3个参照模型的结果对比分析得出生态约束的设置与类型会明显影响调峰效果,强调水利工程生态流量合理设计的必要性。
