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Optimal Power Flow Solutions

Dommel, Hermann, Tinney, William·1968·IEEE Transactions on Power Apparatus and Systems

Abstract

A practical method is given for solving the power flow problem with control variables such as real and reactive power and transformer ratios automatically adjusted to minimize instantaneous costs or losses. The solution is feasible with respect to constraints on control variables and dependent variables such as load voltages, reactive sources, and tie line power angles. The method is based on power flow solution by Newton's method, a gradient adjustment algorithm for obtaining the minimum and penalty functions to account for dependent constraints. A test program solves problems of 500 nodes. Only a small extension of the power flow program is required to implement the method.

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Metadata

Authors
Dommel, H., & Tinney, W.
Venue
IEEE Transactions on Power Apparatus and Systems
Published
1968-10
Volume
PAS-87
Issue
10
Pages
1866-1876
ISSN
0018-9510 (ISSN-L)
OpenAlex
W2095570364
Cited by
1,664
References
0
FWCI
16.92
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Optimal Power Flow Solutions. https://app.cochat.ai/papers/10.1109/tpas.1968.292150
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Dommel, H., & Tinney, W. (1968). Optimal Power Flow Solutions. IEEE Transactions on Power Apparatus and Systems. https://doi.org/10.1109/tpas.1968.292150

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Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.