Abstract
The well-known nonlinear model for the stabilization problem of a power system network reduced at its generating nodes is considered. If active power controls can be employed at each node, the resulting control problem is not well defined since the location and the number of power controls are to be established: the aim is to use the least number of controls which allows the application of a stabilizing control scheme. We propose the recently developed technique of "feedback linearization".
Preliminary results establish that if the number of controls is equal to the number of generating nodes any power network is globally feedback linearizable; on the other hand if only one control is employed the power network is feedback linearizable if and only if its graph is a straight chain. Subsequently it is shown that, under mild conditions on the structure of a power network with n nodes, n/2 controls guarantee feedback linearizability. In those cases the explicit nonlinear state feedback stabilizing control laws are given.
This work was partly supported by DOE, Grant No. DE/ACOI/79ET/29367 and MPI (fondi 40%).
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Marino, R. (1984). On the stabilization of power systems with a reduced number of controls. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems. Lecture Notes in Control and Information Sciences, vol 62. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0004959
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DOI: https://doi.org/10.1007/BFb0004959
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