Equilibrium and dynamics of local voltage control in distribution systems
- Creators
- Farivar, Masoud
- Chen, Lijun
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Low, Steven
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.
Additional Information
© 2013 IEEE. This work was supported by Resnick Sustainbility Institute at Caltech, Advanced Technology Division of Southern California Edison, NSF NetSE grant CNS 0911041, ARPA-E grant DE-AR0000226, National Science Council of Taiwan, R.O.C, grant NSC 101-3113-P-008-001.Additional details
- Eprint ID
- 80122
- Resolver ID
- CaltechAUTHORS:20170810-113209963
- Resnick Sustainability Institute
- Southern California Edison
- NSF
- CNS-0911041
- ARPA-E
- DE-AR0000226
- National Science Council (Taipei)
- NSC 101-3113-P-008-001
- Created
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2017-08-14Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field
- Caltech groups
- Resnick Sustainability Institute