15th IEEE PowerTech Conference - PowerTech 2023, Belgrade (Serbia). 25-29 junio 2023
Summary:
Load flow is the key tool for most of the studies related with electric power systems operation and planning. For a given electric network and power dispatch, power flow provides the state variables of the system, i.e. bus voltages magnitude and angle. In most of the cases, power flow must be run several times to cover different dispatches, topologies, outages, etc. Therefore, power flow algorithms must be fast and robust. This paper presents a second-order formulation of the Newton-Raphson method applied to the power flow problem. Power flow equations are reformulated as a homotopy that undergoes a manifold between initial point and the solution. The updating vector at each iteration is computed using first and second-order derivatives. The performance of the algorithm is illustrated using the IEEE 39 buses test network.
Spanish layman's summary:
Este artículo presenta una variante de segundo orden del método Newton-Rhapson para el flujo de cargas. Las ecuaciones se redefinen como una homotopía que genera una curva entre punto inicial y solución. El vector de actualización en cada iteración se calcula con derivadas de primer y segundo orden.
English layman's summary:
This paper presents a second-order Newton-Raphson-based solver for the power flow problem. Equations are reformulated as a homotopy that undergoes a manifold between initial point and the solution. The updating vector at each iteration is computed using first and second-order derivatives.
Keywords: convergence; Newton-Raphson method; power flow; second-order approach.
DOI: 
10.1109/PowerTech55446.2023.10202924
Publication date: June 2023.
Citation:
Echavarren, F.M., Rouco, L., Benítez Domínguez, A., Sigrist, L., Power flow algorithm using a second-order differentation approach, 15th IEEE PowerTech Conference - PowerTech 2023, Belgrade (Serbia). 25-29 June 2023.
IIT-23-081C
