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Stabilization of Multimachine Power Systems by Decentralized Feedback Control. Zhi-Cheng Huang Department of Communications, Navigation and Control Engineering National Taiwan Ocean University. Outline. Introduction Decentralized controller design Illustrative example Conclusions.
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Stabilization of Multimachine Power Systems by Decentralized Feedback Control Zhi-Cheng Huang Department of Communications, Navigation and Control Engineering National Taiwan Ocean University
Outline • Introduction • Decentralized controller design • Illustrative example • Conclusions
Introduction • State-dependent impulse disturbance will be investigated • Direct feedback linearization compensator will be proposed • Boundedness of the system states will be guaranteed within the derived impulse intervals
Decentralizedcontrollerdesign • n synchronous machines • Mechanical equations
Decentralizedcontrollerdesign Salient-pole synchronous generator • Generator electrical dynamics
Decentralizedcontrollerdesign • Electrical equations
Decentralizedcontrollerdesign • The compensated multimachine power system model where
Decentralizedcontrollerdesign • DFL compensating law where except for the point (which is not in the normal working region for a generator)
Decentralizedcontrollerdesign • Generalizeduncertain DFL compensated model where known real constant matrices and controllable real time-varying parameter uncertainties interaction terms unknown nonlinearity constant with values either 1 or 0
Decentralizedcontrollerdesign • Assumption 1. (System Matrix Uncertainties) with Lebesgue measurable element
Decentralizedcontrollerdesign • Assumption 2.(Interaction functions) with Lebesgue measurable element
Decentralizedcontrollerdesign • Assumption 3. (impulse disturbance) where the effect of state changing with 12
An Illustrative Example A three-machine example system is chosen to demonstrate the effectiveness of the proposed nonlinear decentralized controller
An Illustrative Example • The excitation control input limitations • The generator #3 is an infinite bus and use the generator as the reference
System parameters An Illustrative Example
An Illustrative Example A three-machine power system
An Illustrative Example • The DFL compensated model for the generators #1 and #2
An Illustrative Example • with
An Illustrative Example • Assume
An Illustrative Example • the DFL compensated power system model will be globally asymptotically stable by the linear local state feedback
An Illustrative Example Fig. 1. The state responses with finite number of impulse disturbances
Conclusions • The problem of decentralized control of multimachine power systems with state-jump disturbances has been explored • A new synthesis algorithm for the direct feedback linearization compensator has been proposed • Sufficient conditions have been derived such that the decentralized practical stability can be guaranteed • The states of the uncertain multimachine power systems with equidistant or periodic impulse disturbance will attract into a bounded ball
The End Thanks for your Attention