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Power Flow Solution by Newton's Method
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.
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Cited by
Three-phase power flow calculations using the current injection method
Garcia, P. A. N., Pereira, J. L. R., Carneiro, S., da Costa, V. M., & Martins, N. (2000) · IEEE Transactions on Power Systems · doi:10.1109/59.867133 · Cited by 438
Kang, Q., Wang, J., Zhou, M., & Ammari, A. C. (2016) · IEEE Transactions on Intelligent Transportation Systems · doi:10.1109/tits.2015.2487323 · Cited by 328
Metadata
- Authors
- Tinney, W., & Hart, C.
- Venue
- IEEE Transactions on Power Apparatus and Systems
- Published
- 1967-11
- Volume
- PAS-86
- Issue
- 11
- Pages
- 1449-1460
- ISSN
- 0018-9510 (ISSN-L)
- OpenAlex
- W1999562671
- Cited by
- 1,215
- References
- 0
- FWCI
- 18.85
- Type
- journal article
- Language
- en
- Open access
- closed
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- Tinney, W., & Hart, C. (1967). Power Flow Solution by Newton's Method. IEEE Transactions on Power Apparatus and Systems. https://doi.org/10.1109/tpas.1967.291823
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