Journal ArticleDOI
Nonlinear Programming Solutions for Load-Flow, Minimum-Loss, and Economic Dispatching Problems
TLDR
A unified approach to load-flow, minimum-loss, and economic dispatching problems is presented and a unconstrained minimization method is shown to coincide with the minimum of a function of the power system equations.Abstract:
A unified approach to load-flow, minimum-loss, and economic dispatching problems is presented. A load-flow solution is shown to coincide with the minimum of a function of the power system equations. An unconstrained minimization method, developed by Fletcher-Powell, is used to solve the load-flow problem. The method always finds a solution or indicates the nonexistence of a solution. Its performance is highly independent of the reference- slack bus position and requires no acceleration factors. Several constrained minimization techniques that solve the minimum-loss and economic dispatching problems are investigated. These include the Fiacco-McCormick, Lootsma, and Zangwill methods. The technique finally recommended is shown to be an extension of the method used to solve the load-flow problem. The approved IEEE test systems, and other systems whose response to conventional methods was known, have been solved.read more
Citations
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Journal ArticleDOI
Review of load-flow calculation methods
TL;DR: A survey is presented on the currently available numerical techniques for power-system load-flow calculation using the digital computer, and the suitabilities of various methods for modern applications such as security monitoring and optimal load flow are examined.
Journal ArticleDOI
A survey of the optimal power flow literature
M. Huneault,Francisco D. Galiana +1 more
TL;DR: A survey of publications in the fields of optimal power flow and dispatching can be found in this article, where the authors suggest a classification of methods based on the choice of optimization techniques and a single flow-chart-type figure, which indicates the relationship between methods, their chronology, and their popularity.
Journal ArticleDOI
A Load Flow Calculation Method for III-Conditioned Power Systems
S. Iwamoto,Y. Tamura +1 more
TL;DR: A load flow calculation method for ill-conditioned power systems is developed, and it is found that the solution does not exist for the 11 and 43 bus systems though the given data are said to be operational, and also that the answer does not converge with the single precision due to the precision deficiency of the computer.
Optimal power dispatch: a comprehensive survey
TL;DR: A review of the progress of optimal dispatch, also called economic dispatch, since its inception to the present in chronological sequence is given in this paper, where the classic single area as well as multi-area cases are summarized, and the important theoretical work in optimal load flows suggested to date reviewed.
Optimal power dispatch -a comprehensive survey
TL;DR: In this article, the progress of optimal dispatch, also called economic dispatch, since its inception to the present in chronological sequence is reviewed, and the classic single area as well as multi-area cases are summarized and the important theoretical work in optimal load flows suggested to date is reviewed.
References
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Journal ArticleDOI
A method for the solution of certain non – linear problems in least squares
TL;DR: In this article, the problem of least square problems with non-linear normal equations is solved by an extension of the standard method which insures improvement of the initial solution, which can also be considered an extension to Newton's method.
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A Rapidly Convergent Descent Method for Minimization
Roger Fletcher,M. J. D. Powell +1 more
TL;DR: A number of theorems are proved to show that it always converges and that it converges rapidly, and this method has been used to solve a system of one hundred non-linear simultaneous equations.
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An efficient method for finding the minimum of a function of several variables without calculating derivatives
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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.