Robust Wide‐area Fault Visibility and Structural Observability in Power Systems With Synchronized Measurement Units

Korkali, Mert

doi:10.1002/9781119480402.ch7

Cited by 2 publications

(56 citation statements)

References 11 publications

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“…Furthermore, the manufacturers supply PMUs with a varying number of channels and PMU cost ranges analogous to channel restriction. Some works study this combinatorial problem considering a restricted number of channels, which is a more realistic OPP scenario [56][57][58][59][60][61][62][63][64][65][66][67][68][69]. The principal constitution of this study is threefold:…”

Section: Consideration Of This Studymentioning

confidence: 99%

“…Our aim is to reconsider the ILP-based model under a limited PMU number [56][57][58] in the YALMIP environment [37,38]. GA and BSPO are able to handle the ILP model's constraints, and finally an equivalent nonlinear model is given to find optimality.…”

Section: Consideration Of This Studymentioning

confidence: 99%

“…In this study, we consider that optimal PMU numbers are installed around the power grid having a restricted number of measurement channels. Although there exist some works in this domain [56][57][58][59][60][61][62][63][64][65][66][67], we present a revised optimization model and a number of algorithms related to its solution. The solution of this model will keep the network completely observable relying only on synchronized measurements [37].…”

Section: Contribution Of This Studymentioning

confidence: 99%

“…In real-life, each PMU device has a restricted number of channels and thus a more realistic configuration of the PMUs is taken into consideration with a varying channel capacity [47,52,[56][57][58][59][60][61][63][64][65][66][67].…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, the restriction in the channel limit capacities is taken into consideration to implement a more reasonable configuration of PMUs in grids [56][57][58][59][60][61][62][63][64][65][66][67].…”

Section: Introductionmentioning

confidence: 99%

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Mathematical Models for the Single-Channel and Multi-Channel PMU Allocation Problem and Their Solution Algorithms

Theodorakatos,

Babu,

Theodoridis

et al. 2024

Algorithms

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Phasor measurement units (PMUs) are deployed at power grid nodes around the transmission grid, determining precise power system monitoring conditions. In real life, it is not realistic to place a PMU at every power grid node; thus, the lowest PMU number is optimally selected for the full observation of the entire network. In this study, the PMU placement model is reconsidered, taking into account single- and multi-capacity placement models rather than the well-studied PMU placement model with an unrestricted number of channels. A restricted number of channels per monitoring device is used, instead of supposing that a PMU is able to observe all incident buses through the transmission connectivity lines. The optimization models are declared closely to the power dominating set and minimum edge cover problem in graph theory. These discrete optimization problems are directly related with the minimum set covering problem. Initially, the allocation model is declared as a constrained mixed-integer linear program implemented by mathematical and stochastic algorithms. Then, the integer linear problem is reformulated into a non-convex constraint program to find optimality. The mathematical models are solved either in binary form or in the continuous domain using specialized optimization libraries, and are all implemented in YALMIP software in conjunction with MATLAB. Mixed-integer linear solvers, nonlinear programming solvers, and heuristic algorithms are utilized in the aforementioned software packages to locate the global solution for each instance solved in this application, which considers the transformation of the existing power grids to smart grids.

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