IEEE Transactions on Power Apparatus and Systems · 1968 · 24 citations · 11 references
Natural SciencesComputer ScienceMechanical EngineeringComputational Fluid DynamicsFluid DynamicsOptimizationGradient-based OptimizationNonlinear ProgrammingNumerical AlgorithmsNumerical AnalysisGradient DescentGradient ProgrammingLoad Flow AnalysisProblem ReformulationProblem Statement FormulationSteepest Descent
Gradient methods are applied to load-flow studies. It is shown that these are more relevant to the problem statement than the known methods. Steepest-descent and conjugate-gradient methods are adapted, but the main point made is that the load-flow can be reformulated as an optimization problem, thereby permitting recourse to other optimization methods. The numerical results obtained imply that such reformulation may reduce the required computer time.
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Function minimization by conjugate gradients
R. Fletcher · The Computer Journal · 1964 · 4.9K citations · Full text
Robert J. Buehler, Douglass J. Wilde · Econometrica · 1965 · 701 citations
Mathematical Methods for Digital Computers
Olga Taussky, Anthony Ralston, Herbert S. Wilf · Econometrica · 1961 · 634 citations