基于0-1整数规划的PMU优化配置研究
发布时间：2018-11-26 12:18
【摘要】：随着电力系统规模的不断扩大,大电网事故将对整个社会的各个方面产生极大的影响。因此,就需要对电力系统进行在线实时监测。同步相量测量单元(PMU)技术的成熟发展满足了电力系统实施监测的需要。然而,PMU的价格过于昂贵,在全网所有节点配置PMU虽然能够实时监测电力系统,却大大增加了电网的一次性投资。所以需要考虑PMU装置的优化布点配置。PMU的最优配置要求在全局可观的前提下所配置的PMU最少。0-1线性整数规划在分析求解多目标PMU最优配置有极大的优势。但是实际电力系统中存在一定数量的零注入节点。它的优点在于能够减少PMU配置数量,但同时在引入到整数规划进行计算时,将使模型非线性化而难以求解。传统的方法在解决该非线性约束时都存在不同程度的问题。本文针对包含零注入功率节点的约束进行了修正,给出了一个新的条件函数不等式方程组,能够很好解决出现的非线性问题。同时,新条件函数约束只需要在原邻接矩阵基础上进行处理,具有较强的可操作性。当考虑N-1情况下的PMU最优布点时,文章的方法具有很强的继承能力,有效的解决了传统方法无法解决的N-1优化配置问题。接着,在全局可观的分阶段配置时,文章以降低不可观测深度为应用目标进行配置,提出增加虚拟连接的方案来修改拓扑和条件函数,有效的应用到了0-1线性整数规划中。在N-1可观的分阶段配置过程中,文章以关键线路可观为应用目标进行优化配置。与传统文献利用线路N-1情况下关键线路可观进行配置对比,文章则是实现节点N-1情况下关键线路可观测。最后,文章在IEEE14节点系统以及IEEE39节点系统中分别进行了优化配置计算,所得到的方案对比于传统的算法具有很大的优势,在保证优化方案结果正确的前提之下,配置结果数量大大降低。
[Abstract]:With the continuous expansion of power system scale, large power grid accidents will have a great impact on all aspects of society. Therefore, it is necessary to monitor the power system in real time. The development of synchronous phasor measurement unit (PMU) technology meets the needs of power system monitoring. However, the price of PMU is too high, and the configuration of PMU in all nodes of the whole network can monitor the power system in real time, but it greatly increases the one-time investment of the power network. Therefore, it is necessary to consider the optimal placement of PMU devices. The optimal configuration of PMU requires the least PMU configuration under the premise of global observability. The 0-1 linear integer programming has great advantages in analyzing and solving the multi-objective PMU optimal configuration. But there are a certain number of zero-injection nodes in the actual power system. Its advantage is that it can reduce the number of PMU configurations, but at the same time, it will make the model nonlinear and difficult to solve when it is introduced into integer programming to calculate. The traditional methods have different degrees of problems in solving the nonlinear constraints. In this paper, the constraints including zero injection power nodes are modified, and a new set of conditional function inequality equations is given, which can solve the nonlinear problems well. At the same time, the constraint of the new conditional function only needs to be treated on the basis of the original adjacent matrix, which has strong maneuverability. When considering the optimal placement of PMU in the case of N-1, the method in this paper has strong inheritance ability and effectively solves the problem of N-1 optimal configuration which can not be solved by traditional methods. Then, in the globally observable phased configuration, this paper proposes a scheme of adding virtual connection to modify topology and condition function, which is applied to 0-1 linear integer programming effectively. In the process of N-1 considerable phased configuration, this paper optimizes the allocation of the critical path observability as the application target. Compared with the traditional literature on the configuration of critical lines in N-1 case, this paper is to realize the observability of critical circuits in the case of node N-1. Finally, the optimal configuration calculation is carried out in IEEE14 node system and IEEE39 node system respectively. Compared with the traditional algorithm, the scheme is superior to the traditional algorithm, under the premise of ensuring the correct result of the optimization scheme. The number of configuration results is greatly reduced.
【学位授予单位】：天津大学
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：TM76
[Abstract]:With the continuous expansion of power system scale, large power grid accidents will have a great impact on all aspects of society. Therefore, it is necessary to monitor the power system in real time. The development of synchronous phasor measurement unit (PMU) technology meets the needs of power system monitoring. However, the price of PMU is too high, and the configuration of PMU in all nodes of the whole network can monitor the power system in real time, but it greatly increases the one-time investment of the power network. Therefore, it is necessary to consider the optimal placement of PMU devices. The optimal configuration of PMU requires the least PMU configuration under the premise of global observability. The 0-1 linear integer programming has great advantages in analyzing and solving the multi-objective PMU optimal configuration. But there are a certain number of zero-injection nodes in the actual power system. Its advantage is that it can reduce the number of PMU configurations, but at the same time, it will make the model nonlinear and difficult to solve when it is introduced into integer programming to calculate. The traditional methods have different degrees of problems in solving the nonlinear constraints. In this paper, the constraints including zero injection power nodes are modified, and a new set of conditional function inequality equations is given, which can solve the nonlinear problems well. At the same time, the constraint of the new conditional function only needs to be treated on the basis of the original adjacent matrix, which has strong maneuverability. When considering the optimal placement of PMU in the case of N-1, the method in this paper has strong inheritance ability and effectively solves the problem of N-1 optimal configuration which can not be solved by traditional methods. Then, in the globally observable phased configuration, this paper proposes a scheme of adding virtual connection to modify topology and condition function, which is applied to 0-1 linear integer programming effectively. In the process of N-1 considerable phased configuration, this paper optimizes the allocation of the critical path observability as the application target. Compared with the traditional literature on the configuration of critical lines in N-1 case, this paper is to realize the observability of critical circuits in the case of node N-1. Finally, the optimal configuration calculation is carried out in IEEE14 node system and IEEE39 node system respectively. Compared with the traditional algorithm, the scheme is superior to the traditional algorithm, under the premise of ensuring the correct result of the optimization scheme. The number of configuration results is greatly reduced.
【学位授予单位】：天津大学
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：TM76
【参考文献】
相关期刊论文 前10条
1 周攀;范旭娟;肖潇;徐w居，
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