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

Nikolaos P. Theodorakatos, Miltiadis Lytras and Rohit Babu
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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
Rohit Babu: Department of Electrical & Electronics Engineering, Bharat Institute of Engineering and Technology, Mangalpally, Ibrahimpatnam, Ranga Reddy, Hyderabad, Telangana 501510, India

Energies, 2020, vol. 13, issue 7, 1-17

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.

Keywords: smart power transmission system; synchronized measurements; optimal PMU placement; underdetermined nonlinear systems; algorithms; smart energy grids; smart cities (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

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