Optimal PMU placement method for complete topological and numerical observability of power system

Sodhi, Ranjana; Srivastava, S. C.; Singh, S. N.

doi:10.1016/j.epsr.2010.03.005

Cited by 103 publications

(60 citation statements)

References 8 publications

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“…Three basic rules can be utilized for PMU placement as follows [15]: 1) If the voltage phasor and current phasor at one end of a branch are known, the voltage phasor at the other end of the branch can be calculated using Ohm's law.…”

Section: Basic Rules For Pmu Placement Problemmentioning

confidence: 99%

“…PMU placement solution sets for network observability using mathematical and heuristics algorithms are cited in [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. Numerous heuristic algorithms are explored for the optimal placement of PMUs in power systems, such as the bisecting search and simulated-annealing algorithm [2], tailored nondominated sorting genetic algorithm [3], tree search method [4], immunity genetic algorithm [5], binary imperialistic competition algorithm [6], and the improved tabu search [7].…”

Section: Introductionmentioning

confidence: 99%

“…Numerous heuristic algorithms are explored for the optimal placement of PMUs in power systems, such as the bisecting search and simulated-annealing algorithm [2], tailored nondominated sorting genetic algorithm [3], tree search method [4], immunity genetic algorithm [5], binary imperialistic competition algorithm [6], and the improved tabu search [7]. Mathematical algorithms proposed for the PMU placement problem are based on integer nonlinear programming [8], integer linear programming [9][10][11][12][13][14][15][16], and integer quadratic programming. In the literature, PMU placement is analyzed for constraints such as a mixed measurement set, single PMU outage or single line outage, multistage PMU placement, etc.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Optimal placing of PMUs in a constrained grid: an approach

Bhonsle¹,

Junghare²

2016

Turk J Elec Eng & Comp Sci

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Synchronized phasor measurement units (PMUs) are replacing conventional measuring meters in modern power networks. The paradigm of grid monitoring has shifted to a wider area. This offers better monitoring, protection, and control of the overall power grid. This paper presents an approach for optimal placing of PMUs in constrained power grids using the binary integer programming technique. The proposed approach deals with four constraints: 1) observability of network, two cases of fully observable and partially observable networks are investigated; 2) conventional measurements, three cases of zero injection bus and injection measurement, conventional power flow measurement, and both injection and power flow measurement are considered; 3) failure of a single PMU or communication line; and 4) rate of failure of PMUs or communication line, two cases of low and high are considered. The proposed approach is tested on an IEEE 14-bus system, a 21-bus 400-kV real power system, and an IEEE 30-bus system. This study will help the power system planner to design an economical, efficient, and reliable monitoring system. Key words:Binary integer programming technique, constrained power system, failure of a single PMU, failure of a single communication line, optimal PMU placement

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Section: Basic Rules For Pmu Placement Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Optimal placing of PMUs in a constrained grid: an approach

Bhonsle¹,

Junghare²

2016

Turk J Elec Eng & Comp Sci

View full text Add to dashboard Cite

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“…The complexity of electric power system is determined by its characteristics about constitution, configuration, operation, organization, etc, which has caused many disastrous accidents, such as the large-scale blackout of America-Canada electric power system on August 14, 2003, the large-scale blackout of Italy electric power system on September 28, 2003. In this paper, based on the real-time measurements of phasor measurement unit (PMU) [9][10][11][12], under the influence of white Gaussian noise, we used mainly nonlinear principal component analysis theory (NLPCA) to resolve fault identification problem in complex electrical engineering.…”

Section: Introductionmentioning

confidence: 99%

Fault Identification Based on Nlpca in Complex Electrical Engineering

Zhang¹,

Wang²,

Zhang³

2012

Journal of Electrical Engineering

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The fault is inevitable in any complex systems engineering. Electric power system is essentially a typically nonlinear system. It is also one of the most complex artificial systems in this world. In our researches, based on the real-time measurements of phasor measurement unit, under the influence of white Gaussian noise (suppose the standard deviation is 0.01, and the mean error is 0), we used mainly nonlinear principal component analysis theory (NLPCA) to resolve fault identification problem in complex electrical engineering. The simulation results show that the fault in complex electrical engineering is usually corresponding to the variable with the maximum absolute value coefficient in the first principal component. These researches will have significant theoretical value and engineering practical significance.

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“…The major weakness of using intelligent search algorithms is that globally optimal solutions are not guaranteed. Approaches based on deterministic methods as proposed in [19][20][21][22][23][24][25][26][27][28][29][30][31] attempt to build equivalent integer problems (EIP) to describe how the PMUs installed in the power system cause the whole network to be observable according to the observability rules and then solve the EIP using local or general optimization techniques. The method described in [6] was a breakthrough that used an EIP model to describe the task of PMU placement at strategic buses to make the entire system observable.…”

Section: Introductionmentioning

confidence: 99%

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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Optimal PMU placement method for complete topological and numerical observability of power system

Cited by 103 publications

References 8 publications

Optimal placing of PMUs in a constrained grid: an approach

Optimal placing of PMUs in a constrained grid: an approach

Fault Identification Based on Nlpca in Complex Electrical Engineering

A Substation-Oriented Approach to Optimal Phasor Measurement Units Placement

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