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Symmetry 2019, 11(2), 136; https://doi.org/10.3390/sym11020136

Analytic Loss Minimization: Theoretical Framework of a Second Order Optimization Method

AMPSAS, University College Dublin, Dublin 4, Ireland
Received: 6 December 2018 / Revised: 14 January 2019 / Accepted: 22 January 2019 / Published: 26 January 2019
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Abstract

In power engineering, the Y b u s is a symmetric N × N square matrix describing a power system network with N buses. By partitioning, manipulating and using its symmetry properties, it is possible to derive the K G L and Y G G M matrices, which are useful to define a loss minimisation dispatch for generators. This article focuses on the case of constant-current loads and studies the theoretical framework of a second order optimization method for analytic loss minimization by taking into account the symmetry properties of Y b u s . We define an appropriate matrix functional of several variables with complex elements and aim to obtain the minimum values of generator voltages. View Full-Text
Keywords: symmetric matrix; network; complex derivatives; system; loss minimization symmetric matrix; network; complex derivatives; system; loss minimization
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Dassios, I.K. Analytic Loss Minimization: Theoretical Framework of a Second Order Optimization Method. Symmetry 2019, 11, 136.

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