IEEE Transactions on Power Apparatus and Systems · 1969 · 1.7K citations · 10 references
EngineeringComputer EngineeringElectrical EngineeringCircuit TheoryComputational ElectromagneticsElectromagneticsMicrowave Network AnalysisNodal AnalysisNumerical Linear AlgebraTransmission LinesAdmittance AnalysisAdmittance MatrixElectromagnetic Transient SimulationNetwork Admittance MatrixSparse Matrix TechniquesSparsity ConstraintsSparsity ProblemTransient Electromagnetic Simulation
Electromagnetic transients in arbitrary single- or multiphase networks are solved by a nodal admittance matrix method. The formulation is based on the method of characteristics for distributed parameters and the trapezoidal rule of integration for lumped parameters. Optimally ordered triangular factorization with sparsity techniques is used in the solution. Examples and programming details illustrate the practicality of the method.
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A First Course in Numerical Analysis
Herbert Maisel, Anthony Ralston · Technometrics · 1966 · 2.5K citations
Transient analysis of lossless transmission lines
F. H. Branin · Proceedings of the IEEE · 1967 · 332 citations
Computer methods of network analysis
F. H. Branin · Proceedings of the IEEE · 1967 · 125 citations