Power System Dynamics as Primal-Dual Algorithm for Optimal Load Control
@article{Zhao2013PowerSD, title={Power System Dynamics as Primal-Dual Algorithm for Optimal Load Control}, author={Changhong Zhao and Ufuk Topcu and Na Li and Steven H. Low}, journal={ArXiv}, year={2013}, volume={abs/1305.0585} }
We formulate an optimal load control (OLC) problem in power networks where the objective is to minimize the aggregate cost of tracking an operating point subject to power balance over the network. We prove that the swing dynamics and the branch power flows, coupled with frequency-based load control, serve as a distributed primal-dual algorithm to solve OLC. Even though the system has multiple equilibrium points, we prove that it nonetheless converges to an optimal point. This result implies…
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