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Convex relaxations and linear approximation for optimal power flow in multiphase radial networks
Open accessAbstract
Distribution networks are usually multiphase and radial. To facilitate power flow computation and optimization, two semidefinite programming (SDP) relaxations of the optimal power flow problem and a linear approximation of the power flow are proposed. We prove that the first SDP relaxation is exact if and only if the second one is exact. Case studies show that the second SDP relaxation is numerically exact and that the linear approximation obtains voltages within 0.0016 per unit of their true values for the IEEE 13, 34, 37, 123-bus networks and a real-world 2065-bus network.
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Distribution System Modeling and Analysis
Kersting, W. (2012) · Electric Power Engineering Series · doi:10.1201/b12056-31 · Cited by 1,241
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Congestion mitigation in unbalanced residential networks with OPF-based demand management
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Metadata
- Authors
- Gan, L., & Low, S. H.
- Venue
- 2014 Power Systems Computation Conference
- Publisher
- IEEE
- Published
- 2014-08
- Pages
- 1-9
- OpenAlex
- W1991988935
- Cited by
- 416
- References
- 1
- FWCI
- 23.97
- Type
- conference paper
- Language
- en
- Open access
- green
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- Gan, L., & Low, S. H. (2014). Convex relaxations and linear approximation for optimal power flow in multiphase radial networks. 2014 Power Systems Computation Conference. https://doi.org/10.1109/pscc.2014.7038399
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