A Convex OPF Approximation for DC Networks Considering Voltage-Dependent Load Models

This paper addresses the problems of power flow and optimal power flow analysis considering voltage-dependent load models from the convex point of view. First, Taylor series expansion method is employed for linearizing the power flow equations generating a set of affine h yperplanes. S econd, the se...

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Autores:
Gil-González, Walter
Garcés, A.
Casilimas-Peña, A.
Garrido Arévalo, Víctor Manuel
Montoya, Oscar
Tipo de recurso:
Fecha de publicación:
2020
Institución:
Universidad Tecnológica de Bolívar
Repositorio:
Repositorio Institucional UTB
Idioma:
eng
OAI Identifier:
oai:repositorio.utb.edu.co:20.500.12585/9941
Acceso en línea:
https://hdl.handle.net/20.500.12585/9941
https://ieeexplore.ieee.org/document/9272042
Palabra clave:
Direct–current networks
Optimal power flow analysis
Sequential quadratic programming
Taylor’s based series expansion method
Rights
closedAccess
License
http://purl.org/coar/access_right/c_14cb
Description
Summary:This paper addresses the problems of power flow and optimal power flow analysis considering voltage-dependent load models from the convex point of view. First, Taylor series expansion method is employed for linearizing the power flow equations generating a set of affine h yperplanes. S econd, the sequential quadratic programming (SQP) approach is employed for adjusting the linearization point to eliminate the voltage estimation error between the exact and proposed convex models recursively. Two voltage-dependent load models are considered in our power flow a nd o ptimal p ower fl ow pr oposals wh ich based on the exponential and polynomial models. General algebraic modeling system (GAMS) and its nonlinear optimization packages are employed for comparison purposes. Two DC-test systems with 6 and 21 nodes are used to validate the performance of the SQP proposed. The proposed SQP approach is implemented in MATLAB software with quadprog toolbox.