Signal-Anticipation in Local Voltage Control in Distribution Systems

作者: Zhiyuan Liu , Seungil You , Xinyang Zhou , Guohui Ding , Lijun Chen

DOI: 10.1109/TSG.2019.2920825

关键词: Numerical stabilityNash equilibriumBounded functionStability (probability)Computer scienceConvergence (routing)Upper and lower boundsNode (networking)TopologyMetric (mathematics)

摘要: We consider the signal-anticipating behavior in local Volt/Var control for distribution systems. Such a makes interaction among nodes game. characterize Nash equilibrium of game as optimum global optimization problem and establish its asymptotic stability. also show that voltage has less restrictive convergence condition than signal-taking control. then introduce notion price signal-anticipation (PoSA) to impact control, use gap cost between network metric PoSA. how PoSA scales with size, topology, heterogeneity few settings. Our results is upper bounded by constant average per node will go zero size increases. This desirable it means not be arbitrarily large, no matter what is, mechanism needed mitigate behavior. further carry out numerical experiments real-world circuit complement theoretical analysis.

参考文章(35)
Wen-Chyuan Yueh, EIGENVALUES OF SEVERAL TRIDIAGONAL MATRICES Applied Mathematics E-Notes [electronic only]. ,vol. 5, pp. 66- 74 ,(2005)
Masoud Farivar, Christopher R. Clarke, Steven H. Low, K. Mani Chandy, Inverter VAR control for distribution systems with renewables international conference on smart grid communications. pp. 457- 462 ,(2011) , 10.1109/SMARTGRIDCOMM.2011.6102366
Na Li, Guannan Qu, Munther Dahleh, Real-time decentralized voltage control in distribution networks allerton conference on communication, control, and computing. pp. 582- 588 ,(2014) , 10.1109/ALLERTON.2014.7028508
Emiliano Dall'Anese, Sairaj V. Dhople, Georgios B. Giannakis, Optimal Dispatch of Photovoltaic Inverters in Residential Distribution Systems IEEE Transactions on Sustainable Energy. ,vol. 5, pp. 487- 497 ,(2014) , 10.1109/TSTE.2013.2292828
Masoud Farivar, Lijun Chen, Steven Low, Equilibrium and dynamics of local voltage control in distribution systems conference on decision and control. pp. 4329- 4334 ,(2013) , 10.1109/CDC.2013.6760555
H.-D. Chiang, M.E. Baran, On the existence and uniqueness of load flow solution for radial distribution power networks IEEE Transactions on Circuits and Systems. ,vol. 37, pp. 410- 416 ,(1990) , 10.1109/31.52734
E. Altman, U. Ayesta, B. J. Prabhu, Load balancing in processor sharing systems performance evaluation methodolgies and tools. ,vol. 47, pp. 35- 48 ,(2011) , 10.1007/S11235-010-9300-8
Tao Wu, David Starobinski, On the price of anarchy in unbounded delay networks Proceeding from the 2006 workshop on Game theory for communications and networks. pp. 13- ,(2006) , 10.1145/1190195.1190210
Na Li, Lijun Chen, Munther A. Dahleh, Demand Response Using Linear Supply Function Bidding IEEE Transactions on Smart Grid. ,vol. 6, pp. 1827- 1838 ,(2015) , 10.1109/TSG.2015.2410131