Stability of a Distributed Generation Network Using the Kuramoto Models
We derive a Kuramoto-like equation from the Cardell-Ilic distributed electrical generation network and use the resulting model to simulate the phase stability and the synchronization of a small electrical grid. It is well-known that a major problem for distributed generation is the frequency stability. This is a non linear problem and proper models for analysis are sorely lacking. In our model nodes are arranged in a regular lattice; the strength of their couplings are randomly chosen and allowed to vary as square waves. Although the system undergoes several synchronization losses, nevertheless it is able to quickly resynchronize. Moreover, we show that the synchronization rising-time follows a power-law.
KeywordsBiomass Combustion Soliton Coherence
Unable to display preview. Download preview PDF.
- 4.Carreras, B., et al.: Evidence for SOC in a Time Series of Electric Power System Blackouts. Chaos 51, 1733 (2004)Google Scholar
- 6.Cardell, J., Ilic, M.: Maintaining Stability with Distribute Generation. IEEE Power Eng. Soc. Meeting (2004)Google Scholar
- 7.Canale, E., Monzon, P.: Gluing Kuramoto Coupled Oscillators Networks. In: IEEE Decision and Control Conf., New Orleans (2007)Google Scholar
- 10.Fioriti, V., Rosato, V., Setola, R.: Chaos and Synchronization in Variable Coupling Kuramoto oscillators. Experimental Chaos Catania (2008)Google Scholar
- 12.Carsten, J., et al.: Riso Energy Report (2000)Google Scholar
- 13.Cardell, J., Ilic, M.: The Control of Distributed Generation. Kluwer Academic Press, Dordrecht (1998)Google Scholar