Abstract
After a brief introduction to the field of Conic Optimization we present an application to the (robust) resistor network topology design problem, where the goal is to design an electrical network containing resistors, such that the dissipation is minimal, given the external current values at the nodes of the network and assuming that the conductance values satisfy some normalizing constraint. We present a linear model for the single-current case and semidefinite models for multi-current cases. All models are illustrated by examples.
Keywords
Publication details
- DOI
- 10.24200/squjs.vol17iss1pp125-146
- Journal
- Sultan Qaboos University Journal for Science, 16, 125
- Publisher
- Sultan Qaboos University
- Open access
- Gold open access
- License
- CC BY 4.0
Cite this article
APA 7
Roos, C., Bai, Y., & Chaerani, D. (2012). Robust Resistance Network Topology Design by Conic Optimization. Sultan Qaboos University Journal for Science, 16, 125. https://doi.org/10.24200/squjs.vol17iss1pp125-146
MLA 9
Roos, Cornelis, et al. "Robust Resistance Network Topology Design by Conic Optimization." Sultan Qaboos University Journal for Science, vol. 16, 2012, pp. 125. https://doi.org/10.24200/squjs.vol17iss1pp125-146.
Chicago (author–date)
Roos, Cornelis, Yanqin Bai, and Diah Chaerani. 2012. "Robust Resistance Network Topology Design by Conic Optimization." Sultan Qaboos University Journal for Science 16: 125. https://doi.org/10.24200/squjs.vol17iss1pp125-146.
Harvard
Roos, C., Bai, Y. and Chaerani, D. (2012) 'Robust Resistance Network Topology Design by Conic Optimization', Sultan Qaboos University Journal for Science, 16, pp. 125. doi:10.24200/squjs.vol17iss1pp125-146.
Vancouver
Roos C, Bai Y, Chaerani D. Robust Resistance Network Topology Design by Conic Optimization. Sultan Qaboos University Journal for Science. 2012;16:125. doi:10.24200/squjs.vol17iss1pp125-146
IEEE
C. Roos, Y. Bai, and D. Chaerani, "Robust Resistance Network Topology Design by Conic Optimization," Sultan Qaboos University Journal for Science, vol. 16, pp. 125, 2012, doi: 10.24200/squjs.vol17iss1pp125-146.