Measurement Redundancy constrained Optimal PMU Locations

V. R. Raju, K. H. Phani Shree, S. V. Jayarama Kumar
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引用次数: 1

Abstract

Modern power networks are operating under heavy stress due to the intrusion of unprecedented loads and unpredictable energy resources. Networks are operated at their peak capacity to meet the demand. These circumstances forced the operators to opt for Wide Area Measurements and Control (WAMC) schemes for real-time monitoring, control, and protection. Synchrophaosr technology has evolved as a promising technology for the implementation of WAMC. Phasor Measurement Units (PMUs) can provide the synchrophasor data along with frequency and Rate of Change of Frequency (ROCOF). Whereas the deployment of these devices was limited due to higher price tags. This constraint has been dealt with in this study by identifying the optimal locations for PMU placement considering the measurement redundancy.In the present study, the optimal PMU placement problem is formulated using binary decision variables (1,0) representing the existence or non-existence of PMU at that bus. Initially, an additive algorithm to solve linear problems with binary decision variables, Balas additive algorithm (BAA) is tested to solve the optimal PMU placement problem. After understanding the challenges a nature-inspired algorithm, Binary Particle Swarm Optimization (BPSO) technique is used to solve the problem. While maintaining the complete system observability, the presence of Zero Injection Busses (ZIB) is also exploited to reduce the count of PMUs. Consequences of optimal placement problem (OPP) like, measurement reliability is also addressed considering redundancy in measurements. Finally, the existence of multiple solutions was solved by introducing Bus Observability Index (BOI) and the System Observability Redundancy Index (SORI) rankings. Algorithms are tested on standard IEEE systems. Results have shown, less than 25% of the busses demanded PMU placement for full system observability, at the same time the number of installations increased with measurement redundancy.
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测量冗余约束PMU最优位置
由于前所未有的负荷和不可预测的能源资源的入侵,现代电网面临着巨大的压力。网络以其最高容量运行以满足需求。这些情况迫使作业者选择广域测量与控制(WAMC)方案来进行实时监测、控制和保护。同步光技术已经发展成为实现WAMC的一种很有前途的技术。相量测量单元(pmu)可以提供同步相量数据以及频率和频率变化率(ROCOF)。然而,由于价格较高,这些设备的部署受到限制。本研究通过考虑测量冗余度确定PMU的最佳放置位置来处理这一约束。在本研究中,使用二进制决策变量(1,0)来表示该总线上存在或不存在PMU,从而形成最优PMU放置问题。首先,对求解二元决策变量线性问题的加性算法Balas加性算法(BAA)进行了测试,以求解PMU最优布局问题。在理解了其中的挑战之后,采用了一种受自然启发的算法,二元粒子群优化(BPSO)技术来解决这个问题。在保持完整的系统可观察性的同时,零注入总线(Zero Injection bus, ZIB)的存在也被用来减少pmu的数量。最优放置问题(OPP)的后果,如测量可靠性也考虑到冗余的测量。最后,通过引入总线可观察性指数(BOI)和系统可观察性冗余指数(SORI)排序,解决了多个方案的存在性问题。算法在标准IEEE系统上进行了测试。结果表明,只有不到25%的总线需要PMU来实现整个系统的可观察性,同时随着测量冗余的增加,安装数量也在增加。
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