Journal
ELECTRONICS
Volume 11, Issue 21, Pages -Publisher
MDPI
DOI: 10.3390/electronics11213566
Keywords
AMPL modeling language; power flow; state estimation; power systems
Categories
Funding
- Colombia Scientific Program [FP44842-218-2018]
- Department of Electrical Engineering (UTFPR)
- Academic Department of Computational Science (UTFPR) at Parana, Brazil
- estrategia de sostenibilidad at Universidad de Antioquia in Medellin, Colombia
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This paper introduces a mathematical modeling approach to solve power flow and state estimation problems in electric power systems using the mathematical programming language AMPL. The advantages of representing these issues through mathematical optimization models in AMPL are highlighted, including handling specific issues not typically considered in classical approaches. The proposed optimization models were validated through several tests, demonstrating their applicability.
This paper presents a mathematical modeling approach by which to solve the power flow and state estimation problems in electric power systems through a mathematical programming language (AMPL). The main purpose of this work is to show the advantages of representing these problems through mathematical optimization models in AMPL, which is a modeling language extensively used in a wide range of research applications. The proposed mathematical optimization models allow for dealing with particular issues in that they are not usually considered in the classical approach for power flow and state estimation, such as solving the power flow problem considering reactive power limits in generation buses, as well as the treatment of errors in state estimation analysis. Furthermore, the linearized mathematical optimization models for both problems at hand are also presented and discussed. Several tests were carried out to validate the proposed optimization models, evidencing the applicability of the proposed approach.
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