Layapunov’s Analysis for Mechanical Analog to Approximate Lumped-Short Transmission Line
Keywords:
.Abstract
Mechanical analog for electrical systems in power system are not new. Researchers have then extended it ranging from small system to large power systems. In this paper, mechanical analog of short transmission line with lumped parameters is considered under two cases namely, Line-ground fault with non-zero fault impedance and Load as function of time. The stability under every case is studied using Layapunov’s direct method. The results are simulated in MATLAB, and justification is done by plotting rate of change of potential function with time
References
[2] S. Sundar Ram, V.V. Veeravalli, and A. Nedic. Distributed and recur- ´ sive parameter estimation in parametrized linear state-space models. IEEE Transactions on Automatic Control, 55:488–492, 2010.
[3] V. Bhatt and J. Koechling. Three-dimensional frictional rigid-body impact. Journal of applied mechanics, 62:893, 1995.
[4] M. J. Coleman, A. Chatterjee, and A. Ruina. Motions of a rimless spoked wheel: a simple 3d system with impacts. Dynamics and Stability of Systems, 12(3):139–160, 1997.
[5] A. S. Bazanella, A. S. Silva, and P. V. . Kokotovic, “Lyapunov design of excitation control for synchronous machines,” In Proc. of 36th Conference on Decision and Control, 1997.
[6] M. Ghandhari, G. Andersson, and I. A. Hiskens, “Control lyapunov function for controllable series devices,” In Proc. of VII SEPOPE, 2000.
[7] A. Isidori, Nonlinear Control Systems. Berlin: Springer-Verlag, 2nd Edition, 1989.
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