## Pao Yue-kong Library Electronic Theses Database

 Author: Niu, Linghui Title: Advanced power flow computation Degree: M.Sc. Year: 2013 Subject: Electric power systems -- Mathematical models.lectric power systems -- Data processing.Hong Kong Polytechnic University -- Dissertations Department: Faculty of Engineering Pages: viii, 56 p. : ill. ; 30 cm. Language: English OneSearch: https://www.lib.polyu.edu.hk/bib/b2649303 URI: http://theses.lib.polyu.edu.hk/handle/200/7308 Abstract: Power flow is a fundamental tool in power system planning, operation and investigation. Different power flow methods have been proposed in the past, such as Gauss-Seidel method, Newton-Raphson method, Fast-decoupled-Ioad-flow method and so on. The most popular method is Newton-Raphson because of its easy-understanding, high efficiency and universality. Traditional Newton-Raphson method neglects the second order derivative and the other higher order derivative. Newton-Raphson method has been proved is two-order convergence rate. In this thesis, power flow algorithm with three-order convergence rate based on Newton-Raphson is proposed. It makes full use of the second order derivative information of power flow equations, and can decrease the iterations effectively. This method introduces a new power flow model (current injection model) in order to reduce calculation burden of Hessian matrix. In the model, both node voltages and injected currents are treated as variables. Traditional power flow equations are departed to linear network equations and nonlinear node equations. The Hessian matrix of the nonlinear equations is constant matrix with simple structure. Since MATLAB is a convenient and efficient tool for power flow computation, I tested the new method with 4 buses system on MATLAB, it showed the iteration number has decreased from 4 to 1. So this method is much more efficient than Newton-Raphson method.

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