Linear method for steady-state analysis of radial distribution systems. (July 2018)

• Record Type: Journal Article
• Authors: Di Fazio, Anna Rita; Russo, Mario; Valeri, Sara; De Santis, Michele
• Is Part Of: International journal of electrical power & energy systems. Volume 99(2018)
• Page Start: 744
• Page End: 755
• Publication Date: 2018-07
• Subjects: Power system modeling -- Distributed energy resources -- Power distribution -- Sensitivity analysis; Electrical engineering -- Periodicals; Electric power systems -- Periodicals; Électrotechnique -- Périodiques; Réseaux électriques (Énergie) -- Périodiques; Electric power systems; Electrical engineering; Periodicals; 621.3
• DOI: 10.1016/j.ijepes.2018.02.001
• Languages: English
• ISSNs: 0142-0615

Abstract

Highlights: A linear method for modeling the steady-state behavior of distribution systems is proposed. π-model of lines, ZIP model of loads, both P-Q and P-V control of DERs are included. The linearized model of the distribution system is firstly derived and, then, analytically solved thus obtaining its closed-form expression. The algorithm for the evaluation of the closed-form solution of the linear model is outlined. The effectiveness of the method is tested on both a 24-nodes and a 237-nodes network. Abstract: Linear methods for steady-state analysis of distribution systems are getting more and more important due to the spreading of distributed energy resources, such as distributed generation, storage systems, active demand. This paper proposes a new linear method based on a Jacobian approach for radial distribution network with lateral derivations and distributed energy resources. The set of the linear equations modeling the distribution system is firstly presented and, then, solved in a closed form. It includes the full π -model for lines, ZIP model for uncontrolled loads, both P-Q and P-V control for distributed energy resources. The adoption of a peculiar set of modeling variables and the radial topology of the network allows to obtain high accuracy and low computational times. The effectiveness of the method is tested on both a 24-nodes and a 237-nodes network. The method is firstly applied to sensitivity analysis and compared with other linearized methods in terms of accuracy and computational efficiency; then, it is applied to the power flow analysis and compared with the classical non linear load flow.