Electric Power Problems: The Mathematical Challenge : Proceedings of a Conference, Seattle, Washington, March 18-20, 1980A. M. Erisman, K. W. Neves, M. H. Dwarakanath |
Contents
Mathematical Challenges in Power System Planning William F Tinney | 3 |
An Overview | 21 |
Solution of NonProblems vs NonSolution of Problems Lester H Fink | 35 |
A Survey of Sparse Matrix Computation J K Reid | 41 |
The Application of Diakoptics to the Solutions of Power System Problems | 69 |
An Application of Linear Graph Theory for Coordination of Directional Over | 104 |
Ordering Algorithms Applied to Sparse Matrices in Electrical Power Problems | 115 |
Survey of Numerical Methods for Ordinary Differential Equations H A Watts | 127 |
Singular Perturbation Analysis of Power System Dynamics | 219 |
Computational Aspects in Control | 229 |
Extended RealTime Analysis for Electric Power Systems Energy Control | 261 |
A Discussion of the Restorative State Control Problem in Electric Power | 276 |
On Line Stabilization of the Large Interconnected Power System in Emergency | 295 |
Effect of Regulators on Control of Large Amplitude Electromechanical Oscilla | 305 |
Parallel MultiArea Static State Estimation of Electric Power Systems Using | 315 |
Philip E Gill Walter Murray Michael A Saunders and Margaret H Wright | 352 |
Computational Aspects of Transient Stability Analysis | 159 |
A Package for the Solution of Sparse Stiff Ordinary Differential | 190 |
Numerical Methods for Ordinary Differential Equations Describing Pressure | 201 |
Some Mathematical Aspects of Power System Stability by Lyapunovs Method | 209 |
Special Distribution Network Configurations Which Satisfy Central Limit | 468 |
Pottle R Norin B Smith J Storer and S Talukdar | 499 |
Common terms and phrases
active-power algebraic algorithm analysis applications approach approximation branches busbars columns complex components conjugate constraints contingency cost developed diagonal Diakoptics distribution dynamic economic dispatch efficient eigenvalues electric power systems energy engineering estimate evaluation example factorization Figure finite element formulas fuel Gaussian elimination GEARS gradient Hessian matrix IEEE IEEE Trans implementation inequalities interconnected iteration Jacobian Jacobian matrix limits linear programming linear search linear systems load machine Markov chain Math mathematical methods minimize Newton's method nodes nonlinear nonlinear programming normal optimal power flow ordinary differential equations paper parallel parallel computer performance planning procedure reliability restoration scheduling sequence SIAM simulation six-phase line solution solve sparse matrix sparsity step stiff subdivisions subproblem subroutine subspace symmetric system operation techniques Theorem tion transient stability transmission unit commitment utilities values variables vector