Journal ArticleDOI
Reliable load flow technique for radial distribution networks
TLDR
In this article, the load flow equations are written in terms of new variables resulting in a set of 3N equations (2N linear plus N quadratic) for a network with N+1 buses.Abstract:
This paper presents a method to solve the power flow problem in radial distribution networks. In the proposed formulation, the load flow equations are written in terms of new variables resulting in a set of 3N equations (2N linear plus N quadratic) for a network with N+1 buses. A computationally efficient solution scheme based on the Newton-Raphson method is proposed, and possible simplifications are discussed. Finally, a comparative evaluation of the proposed method's performance against existing algorithms is provided.read more
Citations
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Journal ArticleDOI
Branch Flow Model: Relaxations and Convexification—Part II
Masoud Farivar,Steven H. Low +1 more
TL;DR: It is proved that convexification requires phase shifters only outside a spanning tree of the network and their placement depends only on network topology, not on power flows, generation, loads, or operating constraints.
Journal ArticleDOI
Convex Relaxation of Optimal Power Flow—Part I: Formulations and Equivalence
TL;DR: This tutorial summarizes recent advances in the convex relaxation of the optimal power flow (OPF) problem, focusing on structural properties rather than algorithms.
Journal ArticleDOI
Radial distribution load flow using conic programming
TL;DR: In this article, the authors show that the load flow problem of a radial distribution system can be modeled as a convex optimization problem, particularly a conic program, which facilitates the inclusion of the distribution power flow equations in radial system optimization problems.
Journal ArticleDOI
Minimum Loss Network Reconfiguration Using Mixed-Integer Convex Programming
TL;DR: In this paper, a mixed-integer conic programming formulation for the minimum loss distribution network reconfiguration problem is proposed, which employs a convex representation of the network model which is based on the conic quadratic format of the power flow equations.
Journal ArticleDOI
Three-phase power flow calculations using the current injection method
TL;DR: In this paper, a sparse formulation for the solution of unbalanced three-phase power systems using the Newton-Raphson method is presented, where the Jacobian matrix is composed of 6/spl times/6 block matrices and retains the same structure as the nodal admittance matrix.
References
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Journal ArticleDOI
Optimal capacitor placement on radial distribution systems
M.E. Baran,F.F. Wu +1 more
TL;DR: In this article, the problem of capacitors placement on a radial distribution system is formulated and a solution algorithm is proposed, where the location, type, and size of the capacitors, voltage constraints, and load variations are considered.
Journal ArticleDOI
Fast Decoupled Load Flow
TL;DR: This paper describes a simple, very reliable and extremely fast load-flow solution method that is attractive for accurate or approximate off-and on-line routine and contingency calculations for networks of any size, and can be implemented efficiently on computers with restrictive core-store capacities.
Journal ArticleDOI
Optimal sizing of capacitors placed on a radial distribution system
M.E. Baran,F.F. Wu +1 more
TL;DR: In this paper, a nonlinear programming problem for capacitors placed on a radial distribution system is formulated and a solution algorithm is developed to find the optimal size of capacitors so that the power losses will be minimized for a given load profile while considering the cost of the capacitors.
Journal ArticleDOI
Power Flow Solution by Newton's Method
TL;DR: The ac power flow problem can be solved efficiently by Newton's method because only five iterations, each equivalent to about seven of the widely used Gauss-Seidel method are required for an exact solution.
Journal ArticleDOI
A compensation-based power flow method for weakly meshed distribution and transmission networks
TL;DR: In this article, a power flow method is described for solving weakly meshed distribution and transmission networks, using a multiport compensation technique and basic formations of Kirchoff's laws.
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