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Journal ArticleDOI

Practical reactive power allocation/operation planning using successive linear programming

TLDR
In this article, a reactive power planning method for large systems using linear programming (LP) is presented, which utilizes calculated linear sensitivities including active power and voltage phase angle in the formulation.
Abstract
A method for reactive power planning is presented that it finds an optimal solution for both allocation and operation planning in large systems using linear programming (LP). The method utilizes calculated linear sensitivities including active power and voltage phase angle in the formulation. Although the overall method includes these relations, the number of constraints and variables are not augmented in its first procedure, APPROACH-1. Its second procedure, APPROACH-2, overcomes numerical problems caused by a dense constraint matrix. This is achieved by retaining untouched sparse sensitivities in the constraint matrix and by eliminating any calculations related to the inverse matrix. The results of applying this method to a practical 224-bus system and the IEEE-30 bus system verify its robustness and fast convergence. >

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Citations
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Journal ArticleDOI

Optimal power flow: a bibliographic survey I

TL;DR: Optimal power flow (OPF) has become one of the most important and widely studied nonlinear optimization problems as mentioned in this paper, and there is an extremely wide variety of OPF formulations and solution methods.
Journal ArticleDOI

Review of Reactive Power Planning: Objectives, Constraints, and Algorithms

TL;DR: Various objectives of reactive power planning are reviewed and various optimization models, identified as optimal power flow model, security-constrained OPF model, and SCOPF with voltage-stability consideration are discussed.
Journal ArticleDOI

An Efficient Technique for Reactive Power Dispatch Using a Revised Linear Programming Approach

TL;DR: In this article, the authors present a mathematical formulation of the reactive power operation/planning problem, which employs a linearized objective function and constraints, and its approach is based on adjusting control variables which are tap positions of transformers and reactive power injection.
Journal ArticleDOI

Reactive-Power Dispatch by Successive Quadratic Programming

TL;DR: The reactive-power dispatch is formulated as the minimization of real-power losses in the system, utilizing a full set of control variables: generator voltages, switchable shunt susceptances, and transformer taps, utilizing the Jacobian method for sensitivity calculations.
Journal ArticleDOI

A method for finding a pair of multiple load flow solutions in bulk power systems

TL;DR: In this paper, the convergent characteristic of load flow calculation by the Newton-Raphson method in rectangular coordinates has been found to converge straight toward two multiple solutions when they are located close to each other.
References
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Journal ArticleDOI

Optimal Power Flow Solutions

TL;DR: A practical method is given for solving the power flow problem with control variables such as real and reactive power and transformer ratios automatically adjusted to minimize instantaneous costs or losses by Newton's method, a gradient adjustment algorithm for obtaining the minimum and penalty functions to account for dependent constraints.
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

Linear Programming for Power-System Network Security Applications

TL;DR: A linear programming method for security dispatch and emergency control calculations on large power systems is presented, which works directly with the normal power-system variables and limits, and incorporates the usual sparse matrix techniques.
Journal ArticleDOI

Optimal Control of Reactive Power flow for Improvements in Voltage Profiles and for Real Power Loss Minimization

TL;DR: In this paper, a mathematical formulation of the optimal reactive power control (optimal VAR control) problem and results from tests of the algorithm are presented in order to minimize the real power losses in the system.
Journal ArticleDOI

Network Constrained Reactive Power Control Using Linear Programming

TL;DR: In this article, the use of linear prograrming (LP) in power system reactive power control calculations is presented, where solutions are constrained within limits set by busbar voltage levels and reactive power flows.
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