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Simple controllers are designed and analyzed using the linearized models.
Next, optimal parameter settings for a conventional PSS are generated using the linearized models.
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The linearization method is applied to approximate the nonlinear system by using the linearized model [36, 39].
The experimental results are close to the results predicted by using the linearized model of the system and highlight many of the difficulties associated with the practical implementation of robust control laws.
It is reasonable to use the linearized model for the islanding problem since the islands contain the generators with similar swing characteristics and oscillation frequencies that are unrelated with the size and the location of the disturbance [23, 24, 25].
This is a significant improvement as it will be possible to use the linearized model to describe the material in a finite element program and solve problems with complicated geometries.
The instabilities are predicted by using the linearized shaft model and the post-critical behaviors are determined by applying center manifold theory to the full non-linear equations of motion.
The PBPK model-based risk assessment approach estimated a cancer risk to people of 3.7 x 10 -8) for a lifetime inhalation exposure of 1 micrograms/m3, which is lower by more than two orders of magnitude than that calculated by the U.S. Environmental Protection Agency using the linearized multistage model (for low-dose extrapolation) and body surface correction factor (for interspecies scaling).
It is also possible to compare our meta-analytic estimates with those published from the U.S. coke oven cohort (latest update reported by Costantino 1995): The U.S. EPA (1984), cited by WHO (1987) estimated a lifetime risk from continuous exposure per nanogram per cubic meter BaP of 8.7/100,000 using the linearized multistage model.
Starting parameters were estimated using the linearized form of each nonlinear model (i.e., log (AGB i )).
The model accounts for water-table effects using the linearized kinematic condition.
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