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Towards Smart Energy Grids: A Box-Constrained Nonlinear Underdetermined Model for Power System Observability Using Recursive Quadratic Programming

Author

Listed:
  • Nikolaos P. Theodorakatos

    (School of Electrical and Computer Engineering, National Technical University of Athens (NTUA), Iroon Polytechneiou 9, 15780 Zografou, Athens, Greece)

  • Miltiadis Lytras

    (School of Business and Economics, Deree—The American College of Greece, Gravias 6, 153 42 Aghia Paraskevi, Greece
    Effat College of Engineering, Effat University, P.O. Box 34689, Jeddah 21478, Saudi Arabia)

  • Rohit Babu

    (Department of Electrical & Electronics Engineering, Bharat Institute of Engineering and Technology, Mangalpally, Ibrahimpatnam, Ranga Reddy, Hyderabad, Telangana 501510, India)

Abstract

This paper introduces an underdetermined nonlinear programming model where the equality constraints are fewer than the design variables defined on a compact set for the solution of the optimal Phasor Measurement Unit (PMU) placement. The minimization model is efficiently solved by a recursive quadratic programming (RQP) method. The focus of this work is on applying an RQP to attempt to find guaranteed global minima. The proposed minimization model is conducted on IEEE systems. For all simulation runs, the RQP converges superlinearly towards optimality in a finite number of iterations without to be rejected the full step-length. The simulation results indicate that the RQP finds out the minimal number and the optimal locations of PMUs to make the power system wholly observable.

Suggested Citation

  • Nikolaos P. Theodorakatos & Miltiadis Lytras & Rohit Babu, 2020. "Towards Smart Energy Grids: A Box-Constrained Nonlinear Underdetermined Model for Power System Observability Using Recursive Quadratic Programming," Energies, MDPI, vol. 13(7), pages 1-17, April.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:7:p:1724-:d:341499
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    References listed on IDEAS

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    1. Yash Puranik & Nikolaos V. Sahinidis, 2017. "Deletion Presolve for Accelerating Infeasibility Diagnosis in Optimization Models," INFORMS Journal on Computing, INFORMS, vol. 29(4), pages 754-766, November.
    2. John W. Chinneck, 2008. "Feasibility and Infeasibility in Optimization," International Series in Operations Research and Management Science, Springer, number 978-0-387-74932-7, December.
    3. Nazari-Heris, M. & Mohammadi-Ivatloo, B., 2015. "Application of heuristic algorithms to optimal PMU placement in electric power systems: An updated review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 50(C), pages 214-228.
    4. Mohammad Shoaib Shahriar & Ibrahim Omar Habiballah & Huthaifa Hussein, 2018. "Optimization of Phasor Measurement Unit (PMU) Placement in Supervisory Control and Data Acquisition (SCADA)-Based Power System for Better State-Estimation Performance," Energies, MDPI, vol. 11(3), pages 1-15, March.
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    Citations

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    Cited by:

    1. Luigi Fortuna & Arturo Buscarino, 2022. "Nonlinear Technologies in Advanced Power Systems: Analysis and Control," Energies, MDPI, vol. 15(14), pages 1-4, July.
    2. Dapeng Wang & Cong Zhang & Wanqing Jia & Qian Liu & Long Cheng & Huaizhi Yang & Yufeng Luo & Na Kuang, 2022. "A Novel Interval Programming Method and Its Application in Power System Optimization Considering Uncertainties in Load Demands and Renewable Power Generation," Energies, MDPI, vol. 15(20), pages 1-19, October.
    3. Khaoula Hassini & Ahmed Fakhfakh & Faouzi Derbel, 2023. "Optimal Placement of μ PMUs in Distribution Networks with Adaptive Topology Changes," Energies, MDPI, vol. 16(20), pages 1-27, October.
    4. Karthik Tamvada & Rohit Babu, 2022. "Control of doubly fed induction generator for power quality improvement: an overview," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 13(6), pages 2809-2832, December.
    5. Davide Astolfi & Ravi Pandit & Andrea Lombardi & Ludovico Terzi, 2022. "Multivariate Data-Driven Models for Wind Turbine Power Curves including Sub-Component Temperatures," Energies, MDPI, vol. 16(1), pages 1-18, December.
    6. Hussain A. Alhaiz & Ahmed S. Alsafran & Ali H. Almarhoon, 2023. "Single-Phase Microgrid Power Quality Enhancement Strategies: A Comprehensive Review," Energies, MDPI, vol. 16(14), pages 1-28, July.

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