Optimal PMU Placement by an Equivalent Linear Formulation for Exhaustive Search

Azizi, Sadegh; Dobakhshari, Ahmad Salehi; Sarmadi, S. Arash Nezam; Ranjbar, A.M.

doi:10.1109/tsg.2011.2167163

Cited by 147 publications

(103 citation statements)

References 25 publications

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“…In [78] authors presents a novel integer linear programming approach, which is shown to be equivalent to the ES-based PMU placement. The linearity of circuit equations ensures that there is a one-to-one relationship between the solutions of the proposed equivalent integer linear programming method (EILPM) and those of ES.…”

Section: Integer Programming (Ip)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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Section: Integer Programming (Ip)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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“…In simple terms, (6) guarantees that every zero injection has a contribution that changes a previously unobservable bus into an observable bus, whereas (7) guarantees that, to any bus, there is no more than one neighbor zero injection (including the bus itself) contributing to its observability. The strict proof for this form of i O is provided in [32]. In the next section, the SOOPP formulation inspired by BOM is proposed.…”

Section: Observability Rulesmentioning

confidence: 99%

“…Suppose a bus is a zero injection one, the set including that bus and all its incident buses is defined as a zero injection cluster (ZIC). For each ZIC in the power network, a linear relation equation between the voltage phasors of its buses can be obtained based on the KCL [32]. Thus, the only unknown bus voltage could be calculated by solving this equation.…”

Section: Installed Conventional Injection Measurementsmentioning

confidence: 99%

“…This network contains 339 substations, 2080 buses, 3007 branches, and 1516 zero injections among the buses at the transmission level. To show the advantage of SOOPP, the optimization results using OPP method proposed in [32] are also demonstrated. In practical large power systems, the SOOPP has better convergence reliability, faster calculating speed and could obtain much more economical PMU placements than conventional BOM.…”

Section: Considering Measurement Channels Limitationmentioning

confidence: 99%

“…However, this method did not address single PMU outages. The method in [32] considered this gap in the method of [24] and built an almost perfect model, except for the one tiny flaw that the bus observability provided by neighboring buses is not fully formulated.…”

Section: Introductionmentioning

confidence: 99%

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A Substation-Oriented Approach to Optimal Phasor Measurement Units Placement

Bao¹,

Guo²,

Han³

et al. 2015

Journal of Electrical Engineering and Technology

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-State Estimation (SE) is the basis of a variety of advanced applications used in most modern power systems. An SE problem formed with enough phasor measurement units (PMUs) data is simply a linear weighted least squares problem requiring no iterations. Thus, designing a minimumcost placement of PMUs that guarantees observability of a power system becomes a worthy challenge. This paper proposes an equivalent integer linear programming method for substation-oriented optimal PMU placement (SOOPP). The proposed method uses an exhaustive search to determine a globally optimal solution representing the best PMU placement for that particular power system. To obtain a more comprehensive model, contingencies and the limitation of the number of PMU measurement channels are considered and embodied in the model as changes to the original constraints and as additional constraints. The proposed method is examined for applicability using the IEEE 14-bus, 118-bus and 300-bus test systems. The comparison between SOOPP results and results obtained by other methods reveals the excellence of SOOPP. Furthermore, practical large-scale power systems are also successfully analyzed using SOOPP.

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PMU‐based power system component monitoring scheme satisfying complete observability with multicriteria decision support

Chatterjee

Ghosh

Roy

2019

Int Trans Electr Energ Syst

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Summary Modern power system operates in stressed conditions due to fickle loads, high penetration of renewables, and complex control strategies. The failure of any power system asset may lead to protract power interruption or even catastrophic failures. Synchrophasor‐based extensive research advancements in wide area measurement, protection, and control (WAMPAC) systems are solving critical operation and control problems of the power system. This paper proposes a new combinatorial methodology for monitoring the prime power system components in preference to complete observability of the system. A multicriteria decision support (MCDS) approach, analytical hierarchy process (AHP), has been used to prepare a ranking according to component bus priority for synchrophasor measurement unit installation. The priority list is further processed with intelligent search technique (IST) to compute the optimal solution for synchrophasor meter placement, ensuring complete observability, maximum measurement redundancy, and coverage of prime system components with direct monitoring. Some practical contingencies related to synchrophasor meters placement problem like single meter loss or line outage have also been considered for the case studies. The efficiency of the proposed method has been verified with IEEE 14‐bus, 24‐bus, 30‐bus, 57‐bus, and 118‐bus and New England 39‐bus test systems. To prove the superiority of the method, in essence of synchrophasor meter placement problems, the outcome has been compared with some of the existing methods from the literature.

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Optimal PMU Placement by an Equivalent Linear Formulation for Exhaustive Search

Cited by 147 publications

References 25 publications

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

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

A Substation-Oriented Approach to Optimal Phasor Measurement Units Placement

PMU‐based power system component monitoring scheme satisfying complete observability with multicriteria decision support

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