Recent results have shown that several H 2 and H 2-related problems can be formulated as a convex optimization problem involving linear matrix inequalities (LMIs) with a finite number of variables. This paper presents an LMI-based robust H 2 controller design for damping oscillations in power systems. The proposed controller uses full state feedback. The feedback gain matrix is obtained as the solution of a linear matrix inequality. The technique is illustrated with applications to the design of stabilizer for a typical single-machine infinite-bus (SMIB) and a multimachine power system. The LMI based control ensures adequate damping for widely varying system operating conditions and is compared with conventional power system stabilizer (CPSS).
SUMMARYThis paper presents an LMI-based robust H 2 control design with regional pole constraints for damping power system oscillations. The proposed controller uses full state feedback. The feedback gain matrix is obtained as the solution of a linear matrix inequality (LMI). The technique is illustrated with applications to the design of stabilizer for a typical single-machine infinite-bus (SMIB) and a multimachine power system. The LMI-based control ensures adequate damping for widely varying system operating conditions and is compared with the conventional power system stabilizer (CPSS).
An intense pulsed light-ion beam generator, “ETIGO-1”, has been constructed at the Technological University of Nagaoka. In a preliminary stage of experiments done at less than half full power, we produced V
d (diode voltage)∼760 kV, I
d (diode current)∼65 kA, I
i (ion current)∼14 kA by use of a spherically-shaped, magnetically-insulated diode. Using a geometric focussing technique, we have obtained maximum current density J
i∼4 kA/cm2 (at the focussing point), yielding a focussing gain of ∼50. The focussing spot is observed to be less than 10 mm in diameter. The extracted ion current exceeds by more than a factor of 3 the spacecharge-limiting current of ions.
We give first an approximation of the operator δ h :, is a Hamilton function and * h denotes the star product. The operator, which is the generator of time translations in a * h-algebra, can be considered as a canonical extension of the Liouville operator L h : f → L h f := {h, f } Poisson . Using this operator we investigate the dynamics and trajectories of some examples with a scheme that extends the Hamilton-Jacobi method for classical dynamics to Moyal dynamics. The examples we have chosen are Hamiltonians with a one-dimensional quartic potential and two-dimensional radially symmetric nonrelativistic and relativistic Coulomb potentials, and the Hamiltonian for a Schwarzschild metric. We further state a conjecture concerning an extension of the Bohr-Sommerfeld formula for the calculation of the exact eigenvalues for systems with classically periodic trajectories.
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