Equilibrium and dynamics of local voltage control in distribution systems | IEEE Conference Publication | IEEE Xplore

Equilibrium and dynamics of local voltage control in distribution systems


Abstract:

We consider a class of local volt/var control schemes where the control decision on the reactive power at a bus depends only on the local bus voltage. These local algorit...Show More

Abstract:

We consider a class of local volt/var control schemes where the control decision on the reactive power at a bus depends only on the local bus voltage. These local algorithms form a feedback dynamical system and collectively determine the bus voltages of a power network. We show that the dynamical system has a unique equilibrium by interpreting the dynamics as a distributed algorithm for solving a certain convex optimization problem whose unique optimal point is the system equilibrium. Moreover, the objective function serves as a Lyapunov function implying global asymptotic stability of the equilibrium. The optimization based model does not only provide a way to characterize the equilibrium, but also suggests a principled way to engineer the control. We apply the results to study the parameter setting for the inverter-based volt/var control in the proposed IEEE 1547.8 standard.
Date of Conference: 10-13 December 2013
Date Added to IEEE Xplore: 10 March 2014
ISBN Information:
Print ISSN: 0191-2216
Conference Location: Firenze, Italy
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA, USA
College of Engineering and Applied Science, University of Colorado, Boulder, CO, USA
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA, USA

Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA, USA
College of Engineering and Applied Science, University of Colorado, Boulder, CO, USA
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA, USA

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