A Weighted Least Squares Algorithm for Optimal PMU Placement

Manousakis, Νikolaos M.; Korres, George N.

doi:10.1109/tpwrs.2013.2242698

Cited by 101 publications

(50 citation statements)

References 8 publications

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“…27,28 The NLP formulation for the OPP problem can be expressed as 27,28 NLP method can produce more than one solution to the OPP problem, while the MILP formulation can provide a single solution.…”

Section: Nonlinear Programmingmentioning

confidence: 99%

“…[16][17][18][19][20][21][22] In Aminifar et al, 23 ILP is used with auxiliary variable to find the OPP in case of zero injection. 27 Nonlinear programming (NLP) formulations are introduced in Theodorakatos et al 28 This type of formulations has been explored under several contingencies in literature. A weighted least square algorithm using nonlinear observability constraint is presented in Manousakis and Korres.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Optimal PMU placement for modeling power grid observability with mathematical programming methods

Almunif

Fan

2019

Int Trans Electr Energ Syst

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Summary Phasor measurement units (PMUs) can obtain synchronized voltage and current phasors to increase the accuracy of state estimation results. Optimal PMU placement (OPP) reduces the required number of PMUs to make the system fully observable. In this paper, two mathematical programming formulations, which are mixed integer linear programming (MILP) and nonlinear programming (NLP), for power grid observability modeling to solve the OPP problem are presented. Power flow and zero injection measurement modeling along with restricted communication facilities, PMU failure, and limited channel capacity contingencies are investigated. MILP zero injection formulation is improved to overcome the observability redundancy and optimality drawbacks. A new formulation for nonlinear programming‐based PMU placement for zero injection measurement is proposed. MILP and NLP methods are compared to illustrate the advantages and disadvantages of each method. The comparison and proposed formulations are examined on IEEE 14‐, 57‐, 118‐, 300‐bus test systems and a large 2383‐bus Polish system to demonstrate their effectiveness.

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Section: Nonlinear Programmingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Optimal PMU placement for modeling power grid observability with mathematical programming methods

Almunif

Fan

2019

Int Trans Electr Energ Syst

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“…The proposed method can be used to determine PMU locations when conventional measurements, such as line flows and power injection measurements, are available. While the authors in [82] presents a new method for optimal placement of phasor measurement units (PMU) for complete power system observability by formulating the optimal PMU placement (OPP) problem as a quadratic minimization problem with continuous decision variables subject to nonlinear observability constraints. The optimal solution is obtained by an unconstrained nonlinear weighted least squares (WLS) approach.…”

Section: Integer Quadratic Programming (Iqp)mentioning

confidence: 99%

Artificial Intelligence Versus Conventional Mathematical Techniques: A Review for Optimal Placement of Phasor Measurement Units

Negash

Khan

Yohannes

2016

Technol Econ Smart Grids Sustain Energy

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The Phasor Measurement Unit (PMU) is a contemporary metering device installed on system to enable the power system monitoring and control. PMUs are most accurate and advance time synchronized technology which provides measurements of voltages at the buses and also current phase values which are connected to those buses where these PMUs are located. PMU placement on each bus of a system is difficult to achieve either due to cost factor or due to non-existence limitation of communication facilities in some parts of the system. Moreover, as a consequence of Ohm's Law, when a PMU is placed at a bus, neighboring busses also become observable. This implies that a system can be made observable with a lesser number of PMUs than the number of busses. It is necessary to determine the minimum number of PMUs for entire observability of the power network. The optimal placement of PMUs (OPP) problem can be solved by various techniques. Hence in this paper a comprehensive review is presented on the OPP problems under the characterization of heuristic and mathematical methodologies. Also a comparison between

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“…However, PMUs are currently considered an expensive solution, and as a result they are not installed at every bus of the network. Therefore, different studies have been recently carried out for determining the optimum PMU placement, such as [64][65][66][67]. …”

Section: Topology Error Processingmentioning

confidence: 99%