Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 9 of 9 for “"Singular perturbation analysis"”.
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Singular-perturbation analysis of climb-cruise-dash optimization
The method of singular-perturbation analysis is applied to the determination of range-fuel-time optimal aircraft trajectories. The problem is shown to break down into three sub-problems which are studied separately. In particular, the inner layer containing the altitude path-angle dynamics is …
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The Solution of a Parabolic Partial Differential Equation via Domain Decomposition: The Synthesis of Asymptotic and Numerical Analysis
… on a domain decomposition that is dictated by singular perturbation analysis. The analysis is used to determine regions where certain reduced equations may be solved in place of the full equation. Parallelism is evident at two levels. Domain decomposition provides parallelism at the highest …
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Type-C wind turbine model order reduction and parameter identification
… or needlessly complex. Through use of singular perturbation analysis, this research shows that under normal system operating conditions the power injected in the network by a Type-C wind turbine generator (WTG) can be described by a first-order nonlinear dynamical model that relates the …
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Cellular automata models for excitable media
… these "masks" for the diffusion component and on singular perturbation analysis for the reaction component. The cellular automaton is used to model spiral waves in the Belousov-Zhabotinskii reaction. The behavior of the spiral waves and the movement of the spiral tip are analyzed. By comparing …
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Digital Control Techniques for Switching Power Converters
… objectives. The first proposed technique is a singular perturbation analysis that provides a theoretical foundation for time-scale separation. If a buck, boost, buck-boost, or flyback converter meets a simple requirement, then inductor current operates on a fast time scale while the capacitor …
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A hierarchy of microgrid models with some applications
… models that can be utilized for power system analysis and control design purposes. The microgrid models are classified according to time resolution and, consequently, according to complexity and computational cost as well. Our approach involves three key stages: (1) the formulation of …
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Modeling hotspot dynamics in microwave heating
… the leading order temperature solution of a singular perturbation analysis is used to reduce the system to a free boundary problem. This approximation accurately predicts the steady-state solutions for the temperature and electric fields in closed form. These solutions are valid for arbitrary …
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Control and stability of autonomous inverter-based microgrids
… of the interconnected inverters is derived via singular perturbation analysis and the behaviour of the boundary layer model is investigated. Using the reduced model sufficient conditions for the existence of an equilibrium point are derived. In particular, computable 2-norm and ∞-norm sufficient …
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Temporal synchronization of CA1 pyramidal cells by high-frequency, depressing inhibition, in the presence of intracellular noise
… synchronous, periodic solutions using geometric singular perturbation techniques are proven. The effects of synaptic strength, synaptic recovery, and inhibition frequency are discussed. In contrast to prior work, which suggests that the ripple is produced by homogeneous populations of either …