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A Convex Approximation for Optimal DER Scheduling on Unbal-anced Power Distribution Networks
Una aproximación convexa para la programación óptima de DERs en sistemas de distribución desbalanceados
DOI:
https://doi.org/10.15446/dyna.v86n208.72886Palabras clave:
Optimal power flow, power distribution networks, DER scheduling, Quadratic Constrained Quadratic Programming, renewable energy, storage systems (en)Flujo óptimo de potencia, sistemas de distribución, programación de DERs, Programación cuadrática cuadráticamente restringida, energías renovables, sistemas de almacenamiento (es)
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The increase of solar photovoltaic penetration poses several challenges for distribution network operation, mainly because such high penetration might cause reliability problems like protection malfunctioning, accelerated decay of voltage regulators and voltage violations. Some control strategies avoid such drawbacks at the cost of not fully exploiting the available energy. Existing solutions based on mathematical programming solve a 3-phase ACOPF to optimally exploit the available energy, however, this might increase all reliability problems above if done carelessly. As a solution to optimally exploit DERs (like local photovoltaic and storage systems) without compromising the network reliability, this paper presents a novel algorithm to solve the 3-phase ACOPF as a sequence of convex Quadratically Constrained Quadratic Programs. Results show that this solution has a lower voltage unbalance and computation time than its non-linear counterpart, furthermore, it converges to a primal feasible point for the non-linear formulation without major sacrifices on optimal DER active power injections.
El incremento de la penetración de energía solar fotovoltaica presenta varios retos para la operación de redes de distribución, principalmente porque tales penetraciones pueden causar problemas en la confiabilidad tales como mal funcionamiento de protecciones, desgaste acelerado de reguladores de tensión y violaciones de tensión. Algunas estrategias de control evitan tales desventajas al costo de no explotar completamente la energía disponible. Soluciones existentes basadas en programación matemática resuelven ACOPF trifásicos para explotar de manera óptima la energía disponible, sin embargo, esto puede incrementar los problemas de confiabilidad si no es realizado cuidadosamente. Como una solución para explotar de manera óptima DERs (como sistemas locales de energía fotovoltaica y almacenamiento) sin comprometer la confiabilidad de la red, se presenta un novedoso algoritmo que resuelve el ACOPF trifásico como una secuencia de problemas de Programación Cuadrática Cuadráticamente Restringido convexos. Los resultados muestran que esta solución presenta menor desbalance de tensión y tiempo de computo que su contraparte no-lineal, es más, converge a un punto factible para el problema primal de la formulación no-lineal sin mayores sacrificios en las inyecciones óptimas de potencia activa de los DERs.
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CrossRef Cited-by
1. John Fernando Martínez-Gil, Nicolas Alejandro Moyano-García, Oscar Danilo Montoya, Jorge Alexander Alarcon-Villamil. (2021). Optimal Selection of Conductors in Three-Phase Distribution Networks Using a Discrete Version of the Vortex Search Algorithm. Computation, 9(7), p.80. https://doi.org/10.3390/computation9070080.
2. I.D. Serna-Suárez, G. Morales-España, M. de Weerdt, G. Carrillo-Caicedo, G. Ordóñez-Plata, O.A. Quiroga. (2023). On the applicability of single-line equivalents on optimal operation of modern unbalanced distribution networks. Electric Power Systems Research, 223, p.109699. https://doi.org/10.1016/j.epsr.2023.109699.
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