Estimación del margen de estabilidad de tensión en sistemas de potencia ante contingencias en líneas de transmisión mediante una formulación convexa y un enfoque heurístico
| dc.contributor.advisor | Montoya Giraldo, Oscar Danilo | |
| dc.contributor.author | Rojas Baez, Jenny Vanessa | |
| dc.contributor.author | Laverde Rojas, Maria Fernanda | |
| dc.contributor.orcid | 0009-0008-2001-8212 | |
| dc.contributor.orcid | 0009-0000-4385-8064 | |
| dc.contributor.orcid | 0000-0001-6051-4925 | |
| dc.creator.email | jenyrojas703@gmail.com | |
| dc.creator.email | brunis1no@gmail.com | |
| dc.creator.id | 20211572011 | |
| dc.creator.id | 20212007030 | |
| dc.date.accessioned | 2026-06-30T21:15:23Z | |
| dc.date.available | 2026-06-30T21:15:23Z | |
| dc.date.created | 2026-05-25 | |
| dc.description | La estabilidad de voltaje ante contingencias en las líneas de transmisión es una preocupación crítica en los sistemas eléctricos modernos, ya que la creciente demanda de electricidad y la integración a gran escala de fuentes de energía renovable ponen en riesgo la seguridad de la operación de la red. Este artículo aborda el problema de estimar el margen de estabilidad de voltaje ante N − 1 contingencias en las líneas de transmisión mediante tres metodologías de solución: una formulación de programación no lineal resuelta mediante un algoritmo de punto interior (IPOPT) con una estrategia de arranque múltiple, un enfoque heurístico recursivo basado en soluciones sucesivas de flujo de potencia de Newton-Raphson con escalado de carga progresivo y una relajación de programación de cono convexo de segundo orden. Los métodos propuestos se validan en los sistemas de prueba IEEE de 9, 14, 30 y 57 barras, cubriendo así redes de diversa complejidad topológica y redundancia. Un análisis comparativo evalúa la precisión de cada enfoque frente a una referencia de programación no lineal, así como su eficiencia computacional bajo un conjunto integral de escenarios de contingencia. Los resultados indican que el método heurístico logra una mayor precisión, mientras que la formulación convexa ofrece una solución sustancialmente más rápida, y ambos enfoques demuestran robustez en los casos en que el método de programación no lineal no converge. | |
| dc.description.abstract | Voltage stability under transmission line contingencies is a critical concern in modern power systems, as the growing electricity demand and the large-scale integration of renewable energy sources increasingly challenge the security of network operation. This paper addresses the problem of estimating the voltage stability margin under N − 1 transmission line contingencies through three solution methodologies: a nonlinear programming formulation solved via an interior-point algorithm (IPOPT) with a multi-start strategy, a recursive heuristic approach based on successive Newton–Raphson power flow solutions with progressive load scaling, and a convex second-order cone programming relaxation. The proposed methods are validated on the IEEE 9-, 14-, 30-, and 57-bus test systems, thereby covering networks of varying topological complexity and redundancy. A comparative analysis evaluates the accuracy of each approach against a nonlinear programming reference, as well as their computational efficiency under a comprehensive set of contingency scenarios. The results indicate that the heuristic method achieves higher precision, while the convex formulation offers a substantially faster solution, with both approaches demonstrating robustness in cases where the nonlinear programming method fails to converge. | |
| dc.format.mimetype | ||
| dc.identifier.uri | http://hdl.handle.net/11349/101905 | |
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| dc.rights.acceso | Abierto (Texto Completo) | |
| dc.rights.accessrights | OpenAccess | |
| dc.subject | Margen de estabilidad de voltaje | |
| dc.subject | Contingencias de transmisión | |
| dc.subject | Factor de cargabilidad | |
| dc.subject | Programación de cono de segundo orden | |
| dc.subject | Newton-Raphson | |
| dc.subject | Seguridad N-1 | |
| dc.subject.keyword | Voltage stability margin | |
| dc.subject.keyword | Transmission contingencies | |
| dc.subject.keyword | Loadability factor | |
| dc.subject.keyword | Secondorder cone programming | |
| dc.subject.keyword | Newton–Raphson | |
| dc.subject.keyword | N − 1 security | |
| dc.subject.lemb | Ingeniería Eléctrica -- Tesis y disertaciones académicas | spa |
| dc.subject.lemb | Sistemas de potencia eléctrica | spa |
| dc.subject.lemb | Estabilidad de sistemas eléctricos | spa |
| dc.subject.lemb | Análisis de contingencias (Ingeniería eléctrica) | spa |
| dc.title | Estimación del margen de estabilidad de tensión en sistemas de potencia ante contingencias en líneas de transmisión mediante una formulación convexa y un enfoque heurístico | |
| dc.title.titleenglish | Estimation of the Voltage Stability Margin in Power Systems Under Transmission Line Contingencies Using a Convex Formulation and a Heuristic Approach | |
| dc.type | bachelorThesis | |
| dc.type.degree | Producción Académica |
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