Attraction Region Seeking for Power Grids
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© 2004-2012 IEEE. Motivated by growing interest in the smart grid technology and architecture, this brief explores an attraction region for the asymptotical locked phase agreement and frequency synchronization in power networks with a symmetrically connected interaction topology. By placing attention on the complicated system dynamics and network structure, two cases consisting of uniform and nonuniform ratios of the damping coefficient and the inertia strength, respectively, are discussed. The quantitative estimate on the attraction region is characterized explicitly that relates the initial configurations and the system parameters. For the uniform case, by resorting to the second-order Gronwall's differential inequality and the phase and frequency diameters, the uniform boundedness of fluctuations of phase and frequency is established, which requires that the network diameter is smaller than or equal to two. For the nonuniform case, an energy estimate method is applied to ensure the uniform boundedness of fluctuations of phase and frequency, which, however, does not require the network spectral information. The convergence of phase and frequency to a certain equilibrium point is achieved by employing a second-order gradientlike system with an analytic nonlinearity. The obtained results are helpful to the insight into the stability study of large power grids since the model that we considered can be highly heterogeneous.
author list (cited authors)
Li, H., Chen, G., Liao, X., & Huang, T.