Globally optimal phasor measurement unit placement using branch and bound algorithm

Kamh, Mohamed Zakaria; Younis, Mohamed Ramadan; Ibrahim, Amr M.

doi:10.1016/j.asej.2021.03.001

Cited by 6 publications

(3 citation statements)

References 34 publications

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“…PMUs are installed on buses 2, 6, 7, and 9 (Kamh et al, 2021). There are 38 measurements by PMUs, including voltage magnitude and phase of buses 2, 6, 7, and 9; and current magnitude and phase of branches 2-1, 2-3, 2-4, 2-5, 6-5, 6-11, 6-12, 6-13, 7-4, 7-8, 7-9, 9-4, 9-7, 9-10, and 9-14. Figure 3A presents the estimated results of voltage magnitude, and Figure 3B presents the results of voltage phase in four cases: simultaneous V-θ estimation using conventional measurement (SIM-CONV), simultaneous V-θ estimation using PMU measurement (SIM-PMU), separate V-θ estimation using conventional measurement (SEP-CONV), and separate V-θ estimation using PMU measurement (SEP-PMU), as well as the reference values.…”

Section: Ieee 14-bus Test Casementioning

confidence: 99%

Decoupling of voltage magnitude and phase in genetic algorithms for smart transmission network state estimation

Tran

Kieu

2023

Front. Energy Res.

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A large amount of renewable energy resources are integrated into electricity transmission networks. For efficient operation, transmission networks should be smart, in which it is necessary to have the function of estimating the state of the power system. This function determines bus voltage magnitude and phase, which are used for monitoring, operating, and controlling transmission networks. Transmission network state estimation is developed to estimate bus voltage magnitude and phase by many methods, which include genetic algorithms. Published articles have not mentioned in detail how to apply genetic algorithms to estimate the state of large transmission networks, and the application is limited to small networks. Therefore, this work seeks to estimate the state of large transmission networks by genetic algorithms. Strong decoupling was observed between active power and the voltage phase, as well as between reactive power and voltage magnitude, while a weak coupling, between active power and voltage magnitude, as well as between reactive power and voltage phase; voltage magnitude has a value of around 1.0 p.u, and the voltage phase has a value of around 0.0. This paper proposes a novel approach to genetic algorithms for estimating the state of smart transmission networks. In this novel approach, voltage magnitude and phase are separately estimated at each iteration of genetic algorithms. The approach is validated on IEEE 14-, 30-, and 118-bus networks. Results show that our approach can use phasor measurement unit data to estimate the state of large smart transmission networks by genetic algorithms.

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Section: Ieee 14-bus Test Casementioning

confidence: 99%

Decoupling of voltage magnitude and phase in genetic algorithms for smart transmission network state estimation

Tran

Kieu

2023

Front. Energy Res.

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“…The heuristic methods include, but are not limited to, Depth‐First Algorithm, 11 Graph Theory, 11 and Greedy Algorithm 12 . The deterministic methods consist of programming methods such as Binary Integer Linear Programming, 13 Branch and Bound Method, 14 Recursive Quadratic Programming, 15 Mixed‐Integer Programming, 16 Mixed‐Integer Semidefinite Programming, 17 and Binary Search 18 . Additionally, the meta‐heuristic algorithms include Binary Particle Swarm Optimization Technique, 19 Genetic Algorithm, 20 the Binary‐Coded Ant Colony Optimization Technique, 21 Simulated Annealing 11 and other several bio‐inspired algorithms 22,23 .…”

Section: Introductionmentioning

confidence: 99%

“…The implementation of the DOX approach for attaining the best value of the maximized SNR is obtained by analyzing a wide set of conditions, perturbations, and additive noise, which provides an accurate assessment of damping ratio (DR) and frequency (f ) of electromechanical oscillations. Numerical results obtained from the standard IEEE test systems (14,39, 57, 118, and 300 bus systems) are compared with the existing methods in the literature. The statistical indices demonstrate that under the highly limited optimization context selected, the intended optimizer functions satisfactorily.…”

mentioning

confidence: 99%

Multi‐objective precise phasor measurement locations to assess small‐signal stability using dingo optimizer

Logeshwari,

Abirami,

Subramanian

et al. 2023

Optim Control Appl Methods

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Small‐signal stability is an important task and key research in electrical engineering for networks. This research article focuses on the implementation of a multi‐objective approach for choosing an optimal location for Phasor Measurement Units (PMUs) to quantify a power system's small‐signal stability by maximizing the signal‐to‐noise ratio (SNR) in the system. The novelty of this research lies in the implementation of Dingo Optimization (DOX) technique along with the Prony Analysis (PA) approach for the assessment of small‐signal stability in standard grid networks. The voltage angle, amplitude and the range of frequencies are measured by the optimal placement of PMUs, which primarily focus on the multi‐signal PA. To achieve the objective of this research, DOX integrated with the multi‐signal PA approach is used to determine the ideal position for PMU placement by considering maximum redundancy and optimizing the signal to noise ratio to a maximum level. The effectiveness of the DOX strategy is established with improved accuracy and fewer disturbances by optimizing the electromechanical oscillations of the system. The implementation of the DOX approach for attaining the best value of the maximized SNR is obtained by analyzing a wide set of conditions, perturbations, and additive noise, which provides an accurate assessment of damping ratio (DR) and frequency (f) of electromechanical oscillations. Numerical results obtained from the standard IEEE test systems (14, 39, 57, 118, and 300 bus systems) are compared with the existing methods in the literature. The statistical indices demonstrate that under the highly limited optimization context selected, the intended optimizer functions satisfactorily.

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Phasor measurement units for grid security and reliability: A study in perspective of Rajasthan control area in India

Kale,

Swarnkar,

Mahela

2025

Renewable Energy Integration in Utility Grids

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Globally optimal phasor measurement unit placement using branch and bound algorithm

Cited by 6 publications

References 34 publications

Decoupling of voltage magnitude and phase in genetic algorithms for smart transmission network state estimation

Decoupling of voltage magnitude and phase in genetic algorithms for smart transmission network state estimation

Multi‐objective precise phasor measurement locations to assess small‐signal stability using dingo optimizer

Phasor measurement units for grid security and reliability: A study in perspective of Rajasthan control area in India

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