大规模风电并网给电力系统区域间可用输电能力(available transfer capability,ATC)评估带来了新的挑战,为更加准确地评估高风电渗透率不确定性条件下的区域间ATC,文章提出了一种计及风电空间相关性的ATC概率评估方法。首先,利用条件概...大规模风电并网给电力系统区域间可用输电能力(available transfer capability,ATC)评估带来了新的挑战,为更加准确地评估高风电渗透率不确定性条件下的区域间ATC,文章提出了一种计及风电空间相关性的ATC概率评估方法。首先,利用条件概率原理对历史数据进行处理,并应用Copula函数对风电相关性进行建模;其次,区域间ATC的评估过程涉及到最大输电能力和现有输电协议的计算,因此提出一种ATC双层优化模型,在此基础上,利用Karush-Kuhn-Tucker(KKT)最优条件,双层模型即转化为均衡约束的数学规划(mathematica program with equilibrium constraint,MPEC)模型;再次,再将MPEC模型转化为混合整数二阶锥规划问题;最后,采用蒙特卡罗仿真对计及风电相关性的区域间ATC进行概率评估,并以IEEE 30节点系统为例,分析风电相关性对区域间ATC的影响,验证所提模型的正确性和有效性。展开更多
The economic emission dispatch (EED) problem minimizes two competing objective functions, fuel cost and emission, while satisfying several equality and inequality constraints. Since the availability of wind power (WP)...The economic emission dispatch (EED) problem minimizes two competing objective functions, fuel cost and emission, while satisfying several equality and inequality constraints. Since the availability of wind power (WP) is highly dependent on the weather conditions, the inclusion of a significant amount of WP into EED will result in additional constraints to accommodate the intermittent nature of the output. In this paper, a new correlated bivariate Weibull probability distribution model is proposed to analytically remove the assumption that the total WP is characterized by a single random variable. This probability distribution is used as chance constraint. The inclusion of the probability distribution of stochastic WP in the EED problem is defined as the here-and-now strategy. Non-dominated sorting genetic algorithm built in MATLAB is used to handle the EED problem as a multi-objective optimization problem. A 69-bus ten-unit test system with non-smooth cost function is used to test the effectiveness of the proposed model.展开更多
文摘大规模风电并网给电力系统区域间可用输电能力(available transfer capability,ATC)评估带来了新的挑战,为更加准确地评估高风电渗透率不确定性条件下的区域间ATC,文章提出了一种计及风电空间相关性的ATC概率评估方法。首先,利用条件概率原理对历史数据进行处理,并应用Copula函数对风电相关性进行建模;其次,区域间ATC的评估过程涉及到最大输电能力和现有输电协议的计算,因此提出一种ATC双层优化模型,在此基础上,利用Karush-Kuhn-Tucker(KKT)最优条件,双层模型即转化为均衡约束的数学规划(mathematica program with equilibrium constraint,MPEC)模型;再次,再将MPEC模型转化为混合整数二阶锥规划问题;最后,采用蒙特卡罗仿真对计及风电相关性的区域间ATC进行概率评估,并以IEEE 30节点系统为例,分析风电相关性对区域间ATC的影响,验证所提模型的正确性和有效性。
文摘The economic emission dispatch (EED) problem minimizes two competing objective functions, fuel cost and emission, while satisfying several equality and inequality constraints. Since the availability of wind power (WP) is highly dependent on the weather conditions, the inclusion of a significant amount of WP into EED will result in additional constraints to accommodate the intermittent nature of the output. In this paper, a new correlated bivariate Weibull probability distribution model is proposed to analytically remove the assumption that the total WP is characterized by a single random variable. This probability distribution is used as chance constraint. The inclusion of the probability distribution of stochastic WP in the EED problem is defined as the here-and-now strategy. Non-dominated sorting genetic algorithm built in MATLAB is used to handle the EED problem as a multi-objective optimization problem. A 69-bus ten-unit test system with non-smooth cost function is used to test the effectiveness of the proposed model.
