Sampling Effects on Secondary Voltage Control of Microgrids Based on Network of Multiagent

This paper studies a secondary voltage control
framework of the microgrids based on the consensus for a
communication network of multiagent. The proposed control is
designed by the communication network with one-way links. The
communication network is modeled by a directed graph. At this
time, the concept of sampling is considered as the communication
constraint among each distributed generator in the microgrids. To
analyze the sampling effects on the secondary voltage control of
the microgrids, by using Lyapunov theory and some mathematical
techniques, the sufficient condition for such problem will be
established regarding linear matrix inequality (LMI). Finally, some
simulation results are given to illustrate the necessity of the
consideration of the sampling effects on the secondary voltage control
of the microgrids.




References:
[1] R. Olfati-Saber, J.A. Fax, R.M. Murray, “Consensus and Cooperation
in Networked Multi-Agent Systems”, Procceding of the IEEE, vol.95,
pp.215-233, 2007.
[2] J.M. Guerrero, J.C. V´asquez, J. Matas, M. Castilla, L.G.d. Vicu˜na, M.
Castilla, “Hierarchical control of droop-controlled AC and DC microgrids
- A general approach toward standardization”, IEEE Trans. Ind. Electron.,
vol.58, pp.158-172, 2011.
[3] G.F. Franklin, J.D. Powell, M. Workman, Digital Control of Dynamic
Systems. New York: Addison-Wesley, 1998.
[4] C. Godsil and G. Royle, Algebraic Graph Theory. New York:
Springer-Verlag, 2001.
[5] N. Pogaku, M. Prodanovic, T.C. Green, “Modeling, analysis and testing
of autonomous operation of an inverter-based microgrid”, IEEE Trans.
Power Electron., vol.22, pp.613-625, 2007.
[6] M.J. Park, O.M. Kwon, J.H. Park, S.M. Lee, E.J. Cha, “Stability
of time-delay systems via Wirtinger-based double integral inequality,”
Automatica, vol.55, pp.204-208, 2015.
[7] P. Park, J.W. Ko, C.K. Jeong, “Reciprocally convex approach to stability
of systems with time-varying delays,” Automatica, vol.47, pp.235-238,
2011.
[8] M.C. de Oliveira, R.E. Skelton, Stability tests for constrained linear
systems. Berlin: Springer-Verlag, 2001.