Marc Bodson
University of Utah, Electrical and Computer Engineering, Faculty Member
- Please check my web page: www.ece.utah.edu/~bodsonedit
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Research Interests: Engineering, Aerodynamics, Space Technology, Differential Equations, Kalman Filter, and 15 moreMotion estimation, Kalman Filtering, Water Waves, Hydrodynamics, Approximation, Predictive models, Real Time, Transfer Function, Frequency Dependence, Equations of Motion, Maritime Engineering, Filtering, Transfer Matrix Method, Non linear Partial Differential Equation, and Transfer Functions
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ABSTRACT The systematic design of voltage regulation systems for self-excited induction generators requires the development of a control-oriented model. The paper considers the situation where the peak magnitude of the stator voltages is... more
ABSTRACT The systematic design of voltage regulation systems for self-excited induction generators requires the development of a control-oriented model. The paper considers the situation where the peak magnitude of the stator voltages is regulated through adjustable capacitors connected to the windings. A transfer function model is difficult to obtain, due to the strong nonlinearity of the self-excitation phenomenon, and to unconventional features of the problem. Nevertheless, the paper succeeds in computing a transfer function relating small deviations of the capacitance to small deviations of the voltage magnitude using a clever choice of reference frame. The linearized system is found to be stable for all operating points under consideration, and the eigenvalues of the system predict rapidly-decaying oscillatory transients combined with a slower exponentially decaying component. Results of simulations of the full nonlinear model and of the linearized system demonstrate the validity of the approximation for small deviations. Experimental results also show a good match between measured data and the identified model.
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ABSTRACT The paper considers two models of induction machines accounting for magnetic saturation. The first is a systematically-designed model based on fundamental principles, while the second is a simplified model that neglects certain... more
ABSTRACT The paper considers two models of induction machines accounting for magnetic saturation. The first is a systematically-designed model based on fundamental principles, while the second is a simplified model that neglects certain terms in the first model. The paper shows that both models predict the same responses in the linear region, as well as in the nonlinear region but only for steady-state operation. To investigate the possible superiority of one model over the other, the paper considers the measurement of transient responses where the models predict different behaviors. Experimental conditions are planned by computing the eigenvalues of the linearized systems and selecting conditions with maximal differences in settling time. Surprisingly, however, the experimental data shows relatively little differences between the predictions of the models and fails to favor one model over the other.
The paper investigates the generation of harmonics in adaptive feedforward cancellation schemes. Specifically, it is shown that an algorithm designed to reject a certain number of frequency components may in fact be capable of reducing... more
The paper investigates the generation of harmonics in adaptive feedforward cancellation schemes. Specifically, it is shown that an algorithm designed to reject a certain number of frequency components may in fact be capable of reducing higher-order harmonics as well. This effect originates in the time-variation of the adaptive parameters. A consequence is that the adaptive system may perform better than
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ABSTRACT The paper presents a nonlinear state-space model of a self-excited induction generator. A systematic methodology is then proposed to compute all the possible operating points and the eigenvalues of the linearized system around... more
ABSTRACT The paper presents a nonlinear state-space model of a self-excited induction generator. A systematic methodology is then proposed to compute all the possible operating points and the eigenvalues of the linearized system around the operating points. In addition to a zero equilibrium, one or two operating points are typically found possible. In the first case, the zero equilibrium is unstable, resulting in spontaneous transition to the stable nonzero operating point. In the second case, the smaller of the nonzero operating points is unstable, so that only one stable operating point exists. However, the unstable operating point creates a barrier that must be overcome through triggering. The paper concludes with numerical examples and experiments illustrating the application of the theoretical results.
ABSTRACT Spontaneous self-excitation in induction generators is a fascinating phenomenon triggered by the instability of a zero equilibrium state. Prediction of this condition for various values of free parameters requires many... more
ABSTRACT Spontaneous self-excitation in induction generators is a fascinating phenomenon triggered by the instability of a zero equilibrium state. Prediction of this condition for various values of free parameters requires many computations of the eigenvalues of a 6 × 6 matrix over a large space. The paper uses a novel approach to derive analytic conditions and predict precisely when instabilities occur. The formulas give the values of the minimum load resistance, the range of capacitor values, and the range of speeds for which spontaneous self-excitation appears. The paper concludes with an illustration of the theoretical results on an example.
... SS Murthy, AK Tiwari, "Improved steady state and transient performance with optimum excitation of single-phase self-excited induction generator," Electric Machines and Power... more
... SS Murthy, AK Tiwari, "Improved steady state and transient performance with optimum excitation of single-phase self-excited induction generator," Electric Machines and Power Systems, vol.28, no.7, pp.591-604, July 2000 [15] O. Ojo, O. Omozusi, AA Jimoh, "The operation of an ...
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ABSTRACT The complexity and strong nonlinearity of the model of a self-excited induction generator hinder the systematic design of a voltage regulation system. Using a special reference frame aligned with the stator voltage vector, the... more
ABSTRACT The complexity and strong nonlinearity of the model of a self-excited induction generator hinder the systematic design of a voltage regulation system. Using a special reference frame aligned with the stator voltage vector, the paper succeeds in developing a control-oriented linearized model that relates small deviations of the capacitance, load admittance, and angular velocity, to corresponding deviations of the voltage amplitude. Transfer functions are also computed based on the linear model. A stability analysis predicts rapidly decaying oscillatory transients combined with a primary component with slower exponential decay. Simulated transient responses of the full and linearized models demonstrate the validity of the approximation and are in good agreement with experiments.