Abstract
The ac power flow problem can be solved efficiently by Newton's method. Only five iterations, each equivalent to about seven of the widely used Gauss-Seidel method, are required for an exact solution. Problem dependent memory and time requirements vary approximately in direct proportion to problem size. Problems of 500 to 1000 nodes can be solved on computers with 32K core memory. The method, introduced in 1961, has been made practical by optimally ordered Gaussian elimination and special programming techniques. Equations, programming details, and examples of solutions of large problems are given.
Keywords
Gaussian eliminationNewton's methodMathematical optimizationPower flowGauss–Seidel methodComputer scienceFlow (mathematics)Iterative methodElectric power systemPower (physics)MathematicsApplied mathematicsGaussianAlgorithmNonlinear system
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Publication Info
- Year
- 1967
- Type
- article
- Volume
- PAS-86
- Issue
- 11
- Pages
- 1449-1460
- Citations
- 1174
- Access
- Closed
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Cite This
W.F. Tinney,
Clifford Hart
(1967).
Power Flow Solution by Newton's Method.
IEEE Transactions on Power Apparatus and Systems
, PAS-86
(11)
, 1449-1460.
https://doi.org/10.1109/tpas.1967.291823
Identifiers
- DOI
- 10.1109/tpas.1967.291823