Journal ArticleDOI
Optimal power flow solutions under variable load conditions
K.C. Almeida,R. Salgado +1 more
TLDR
In this paper, an algorithm based on the continuation method and on a primal-dual interior point optimization method is proposed to calculate a sequence of optimal power flow (OPF) solutions under variable load conditions.Abstract:
This work presents a methodology to calculate a sequence of optimal power flow (OPF) solutions under variable load conditions. The aim is to obtain a set of optimal operating points in the neighborhood of the bounds of the region defined by the load flow equations and a set of operational limits. For this, an algorithm based on the continuation method and on a primal-dual interior point optimization method is proposed. Such an algorithm consists of two main steps: the predictor step, which uses a linear approximation of the Karush-Kuhn-Tucker (KKT) conditions to estimate a new operating point for an increment in the system load; and the corrector step, which calculates the optimum corresponding to the new load level via a nonlinear primal-dual interior point method. Indices for critical buses and inequality constraints are a byproduct of the methodology. In addition, sensitivity analysis is performed to calculate the amount of reactive compensation which allows for a pre-specified increase in the system load. Results for realistic test systems are presented.read more
Citations
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Journal ArticleDOI
A reactive power management proposal for transmission operators
TL;DR: In this paper, a market-based solution for managing reactive services by transmission operators is presented, which obligates the generators to provide reactive services in proportion to their active power output, optimizing and integrating reactive procurement with market operation for least-cost solution.
Journal ArticleDOI
A review on applications of heuristic optimization algorithms for optimal power flow in modern power systems
TL;DR: The most frequently applied HOAs for solving the OPF problem in recent years are covered and briefly introduced, including genetic algorithm (GA), differential evolution (DE), particle swarm optimization (PSO), and evolutionary programming (EP), etc.
Journal ArticleDOI
A closed formula for local sensitivity analysis in mathematical programming
TL;DR: In this paper, a method for local sensitivity analysis based on the duality property of mathematical programming is presented. But the method is restricted to nonlinear programming problems and does not cover nonlinear problems with right-hand side parameters.
Book ChapterDOI
A gradient-based artificial immune system applied to optimal power flow problems
TL;DR: The proposed method enhances the original AIS by combining it with a gradient vector, which is used to provide valuable information during the hypermutation process, decreasing the number of generations and clones, and, consequently, speeding up the convergence process while reducing the computational time.
Journal ArticleDOI
Feasible Path Identification in Optimal Power Flow With Sequential Convex Restriction
TL;DR: In this paper, the authors propose an algorithm that computes a provably feasible path from an initial operating point to a desired operating point, given an initial feasible point, the algorithm solves a sequence of convex quadratically constrained optimization problems over conservative convex inner approximations of the OPF feasible space.
References
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Journal ArticleDOI
The continuation power flow: a tool for steady state voltage stability analysis
TL;DR: In this paper, the authors present a method of finding a continuum of power flow solutions starting at some base load and leading to the steady-state voltage stability limit (critical point) of the system.
Journal ArticleDOI
Optimal reactive dispatch through interior point methods
TL;DR: An implementation of an interior point method to the optimal reactive dispatch problem is described in this article, which is based on the primal-dual algorithm and the numerical results in large scale networks (1832 and 3467 bus systems) have shown that this technique can be very effective to some optimal power flow applications.
Journal ArticleDOI
Optimal Power Flow By Newton Approach
TL;DR: In this paper, a direct simultaneous solution for all of the unknowns in the Lagrangian function on each iteration is proposed, where each iteration minimizes a quadratic approximation of the Lagrangeian.
Journal ArticleDOI
Maximum loadability of power systems using interior point nonlinear optimization method
TL;DR: In this article, a nonlinear optimization interior point (IP) method for the determination of maximum loadability in a power system is proposed, where most of the computational effort is taken by the formation and factorization of the augmented Hessian matrix of the IP algorithm.
Journal ArticleDOI
Calculation of critical loading condition with nose curve using homotopy continuation method
TL;DR: In this paper, a new method is presented for calculating the nose curves and critical loading conditions of power systems, which is based on the conventional Newton-Raphson load flow calculation, but overcomes the numerical difficulties associated with the singularity of the Jacobian matrix.