ILP-Based Optimal PMU Placement with the Inclusion of the Effect of a Group of Zero-Injection Buses

Abdulrahman, Ismael; Radman, Ghadir

doi:10.1007/s40313-018-0389-4

Cited by 22 publications

(13 citation statements)

References 25 publications

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“…A zero-injection cluster (ZIC) is the combination of the ZIB and all incident buses. A ZIB can be classified into two types: (1) a ZIB connected only to load and/or generator bus, in other words, not all of its neighboring buses are ZIBs; or (2) a ZIB connected to at least one other ZIB and possibly forming a group of ZIBs [28]. In this work, we consider the first type of ZIB, as in most of the work in the literature.…”

Section: Basic Conceptsmentioning

confidence: 99%

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Optimal PMU placement in the Southern Cameroon Interconnected Grid considering the effect of a group of ZIBs for complete obervability and dynamic stability

Adolphe,

Jacques,

Hubert

2024

Preprint

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In this paper, a solution for optimal PMU placement in the Southern Cameroon Interconnected grid (SIG) is proposed in response to a problem of dynamic stability in the network. In this power system, the monitoring of the parameters is ensured so far by the SCADA, a technology that gives unsynchronized measurements and whose state estimation of the grid is inconsistent. Furthermore, a scan rate of data makes the SCADA system inefficient for measuring the dynamic and transient behaviour occurring in the power grid. Present study uses the method of integer linear programming (ILP) considering the effect of a group of zero-injection buses (ZIBs). Then, a comparative analysis of our results is made with those of the algorithms of other existing optimization methods in order to evaluate the performance of the applied method from the viewpoint of the number of PMUs, the number of buses observable from one or more nodes, and the system observability redundancy index (SORI). The different results obtained through MATLAB 2020a clearly show that considering the effect of a group of ZIBs, the ILP method presents the most optimal solution with a number of 10 PMUs installed on the buses 5, 8, 10, 11, 13, 16, 25, 28, 33 and 39, with a complete observation of the SIG. This result is validated insofar as 50% of the buses obtained (5, 8, 11, 33 and 39) are found with all the other comparative methods. In addition, buses 5, 8, 10, 11, 13, 16, 39 represent the dominant interconnection substations of the SIG, bus 33 also being a dominant bus in the Area 3 of the SIG.

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Section: Basic Conceptsmentioning

confidence: 99%

“…Based on the topology of the SIG, the mathematical formulation of this method were developed according to the following constraints [28]:…”

Section: Formulation Of the Ilpmentioning

confidence: 99%

Optimal PMU placement in the Southern Cameroon Interconnected Grid considering the effect of a group of ZIBs for complete obervability and dynamic stability

Adolphe,

Jacques,

Hubert

2024

Preprint

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“…( 16) R i , i -is the measurement redundancy of the bus. A negative sign is added to the measurement redundancy to transform the maximization problem into the goal of the optimal target model [21].…”

Section: Integer Linear Programmingmentioning

confidence: 99%

“…A new ILP method was used to include the ZIB effect in OPP. The visualization technique was used to show the positions of the PMUs obtained from the OPP [21]. The OPP is investigated considering the inclusion of ZIBs in normal system states and the contingency of PMU interruption.…”

Section: Introductionmentioning

confidence: 99%

Optimal PMU Placement for Türkiye 400 kV Interconnected Power System Observability with Dragonfly Algorithm

2023

Teh. vjesn.

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The Phasor Measurement Unit (PMU) is a modern measuring device built on the system for monitoring, controlling, and protecting power systems. Since the costs of PMU devices are very high, they must be placed in the system in optimum numbers and in a way that monitors the whole system. This study determined the locations and numbers of the optimal number of PMU devices that can monitor the whole system. Integer Linear Programming (ILP) and Binary Particle Swarm Optimization (BPSO) methods are proposed to solve the optimum PMU placement (OPP) problem. Then, the solution to the problem is carried out using Dragonfly Algorithm (DA), which is proposed as a new heuristic method. Solution methods were applied to the IEEE 14-Bus Test System and Türkiye 400 kV Interconnected Power System, and the results were compared. In addition, the results of the proposed methods were compared with the results of different studies in the literature. Thanks to the ILP, BPSO, and DA methods proposed in this study, it has been determined that power systems can be observed with fewer PMU devices. The DA method offers a great cost advantage as it is the method that provides a solution with 5 fewer PMU devices for the 400 kV Interconnected Power System in Türkiye.

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“…The test case systems are assumed to be partially observable through PMUs. From the existing studies, for complete system observability based on PMUs only, an optimal number of 4, 10, and 17 PMUs are required for IEEE 14 bus, IEEE 30 bus, and IEEE 57 bus, respectively [39] , [40] , [41] , [42] . Therefore, each test case considers a random number of PMUs for partial observability (less than the optimal number).…”

Section: Evaluation Of the Proposed Linear Hse Model In Matlabmentioning

confidence: 99%

Development of electrical power transmission system linear hybrid state estimator based on circuit analysis techniques

Kiio¹,

Wekesa²,

Kamau³

2022

Heliyon

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ILP-Based Optimal PMU Placement with the Inclusion of the Effect of a Group of Zero-Injection Buses

Cited by 22 publications

References 25 publications

Optimal PMU placement in the Southern Cameroon Interconnected Grid considering the effect of a group of ZIBs for complete obervability and dynamic stability

Optimal PMU placement in the Southern Cameroon Interconnected Grid considering the effect of a group of ZIBs for complete obervability and dynamic stability

Optimal PMU Placement for Türkiye 400 kV Interconnected Power System Observability with Dragonfly Algorithm

Development of electrical power transmission system linear hybrid state estimator based on circuit analysis techniques

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