Analysis of Coupled Electromechanical Oscillators by a Band-Pass, Reduced Complexity, Volterra Method
01 Jan 2005-pp 215-224
TL;DR: In this paper, an input-output, black-box, monochromatic identification technique is applied, in order to obtain a simple, yet nonlinear, small-signal model for the low-pass modulating envelope of the excitation.
Abstract: Nonlinear analysis of a typical electromechanical coupled oscillator is approached by using Volterra polynomial series representation for nonlinear systems. The problem is formulated in a band-pass framework, allowing the study of transmission of power and information over the same line from the excitation voltage source to the final electromagnetic transducer stage. An input-output, black-box, monochromatic identification technique is applied, in order to obtain a simple, yet nonlinear, small-signal model for the low-pass modulating envelope of the excitation. The small-signal model consists of a low-order static polynomial nonlinearity intermitted between two linear MA filters. The procedure is carried completely in the frequency domain. The most important of the advantages, offered by the proposed methodology, is that identification is performed by employing only the fundamental harmonic component of the response to single sinusoidal inputs of various frequencies and amplitudes that sweep the band and range of interest.Copyright © 2005 by ASME
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28 May 2006
TL;DR: In this paper, a model for the energy exchanges involved in OWC power-plants is proposed using data series generated by numerical codes developed on the basis of relative physical principles.
Abstract: A model for the energy exchanges involved in OWC power-plants is proposed. The model is using data series generated by numerical codes developed on the basis of relative physical principles. The ocean wave field and the oscillating water column are modeled according to linear water wave theory as a waveguide excited at both ends. The thermodynamic process inside the chamber is modeled with a controlvolume approach. Then by applying identification techniques for linear and nonlinear systems, the corresponding operator representations are obtained in the frequency domain. A closed-loop is finally constructed which may find use in analysis and synthesis of OWC systems.
6 citations
01 Jan 2006
TL;DR: In this article, the nonlinear coupling dynamics between a bandpass and a lowpass subsystem is investigated by partitioning the system state vector to a low-pass and bandpass part.
Abstract: The nonlinear coupling dynamics between a bandpass and a lowpass subsystem is investigated by partitioning the system state vector to a lowpass and a bandpass part. The corresponding dynamic equations of the lowpass part are formed on the assumption of linearity when unforced. Its excitation includes an external disturbance vector and a nonlinear static term, standing for the coupling of the lowpass dynamics to the bandpass part of the full system. For the bandpass part, the constant matrices appearing in the conventional form of the state-space representation of linear time invariant systems are substituted by matrix functions depending upon the state vector of the lowpass subsystem. A convenient method for describing this interaction between spectrally separated subsystems, which can be established only if their coupling is nonlinear, is the Hilbert transform. The methodology proposed is applied to a typical electromechanical oscillator, where it is compared against the standard perturbation analysis results.Copyright © 2006 by ASME
3 citations
Book•
01 Jan 2011
TL;DR: In this article, the authors present simulations and feedback control of non-linear coupled electromechanical oscillators for energy conversion applications, and a low pass equivalent model is presented to characterize the nonlinear relationship between the electrical current and the displacement of the mass.
Abstract: iii ACKNOWLEDGEMENTS I wish to express my heartfelt thanks to all the people that supported me during the composition of this work. I have learned so many new and exciting things, and for that reason I would like to especially thank Dr Nikolaos Xiros and Dr Manhar Dhanak for being my advisors, guiding and giving me the chance to work on this project. Special thanks to my family for supporting me in pursuing this Masters degree far away from my home country, to all my friends back in Greece who would constantly cheer me up, to great friends and roommates, and to this specific person that I made sad when I decided to pursue my dreams in a foreign country. Lastly I would like to thank Dr, Pierre-Philippe Beaujean for showing me that wonderful mathematics is behind wonderful music. iv ABSTRACT Author: Dimitrios Psarrou Title: Simulations and feedback control of non linear coupled electromechanical oscillators for energy conversion applications Institution: This thesis discusses the coupling of a mechanical and electrical oscillator, an arrangement that is often encountered in mechatronics actuators and sensors. The dynamics of this coupled system is mathematically modeled and a low pass equivalent model is presented. Numerical simulations are then performed, for various input signals to characterize the nonlinear relationship between the electrical current and the displacement of the mass. Lastly a framework is proposed to estimate the mass position without the use of a position sensor, enabling the sensorless control of the coupled system and additionally providing the ability for the system to act as an actuator or a sensor. This is of value for health monitoring, diagnostics and prognostics, actuation and power transfer of a number of interconnected machines that have more than one electrical system, driving corresponding mechanical subsystems while being driven by the same voltage source and at the same time being spectrally separated and independent.
2 citations
01 Jan 2019
TL;DR: This Thesis-Restricted is protected by copyright and/or related rights and has been brought to you by ScholarWorks@UNO with permission from the rights-holder(s).
Abstract: This Thesis-Restricted is protected by copyright and/or related rights. It has been brought to you by ScholarWorks@UNO with permission from the rights-holder(s). You are free to use this Thesis-Restricted in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s) directly, unless additional rights are indicated by a Creative Commons license in the record and/or on the work itself.
1 citations
Cites background or methods from "Analysis of Coupled Electromechanic..."
...In the wider context of mechatronics, electromechanical systems analysis and synthesis, especially in comparatively small scales, has gained significant interest, due to developments in the rapidly evolving field of MEMS/NEMS (Micro-Electro-Mechanical Systems, Nano-Electro-Mechanical Systems) [1]....
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...In the wider context of mechatronics, electromechanical systems analysis and synthesis, especially in comparatively small scales, has gained significant interest, due to developments in the rapidly evolving field of MEMS/NEMS (Micro-Electro-Mechanical Systems, Nano-Electro-Mechanical Systems) [1]....
[...]
...In this arrangement, a voltage or current source is coupled to a mechanical second-order oscillator, consisted of a mass-damper-spring interconnection, through an electromagnet [1,3-7]....
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...37) perturbation analysis may be carried out [1,20-21]....
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...Perturbation analysis clearly reveals that by using the LP equivalent system the solutions obtained are identical for the electromechanical coupled oscillators at hand [1,20-21]....
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Book•
27 May 2020
TL;DR: In this article, the authors pointed out that due to wave action these foundations are exposed to different pressure durations due to flat concrete foundations and proposed a hybrid structure for ocean engineering.
Abstract: As pointed out by other researchers, hybrid structures in ocean engineering are based on flat concrete foundations. Due to wave action these foundations are exposed to different pressure d...
1 citations
References
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Book•
01 Jan 1987
TL;DR: Das Buch behandelt die Systemidentifizierung in dem theoretischen Bereich, der direkte Auswirkungen auf Verstaendnis and praktische Anwendung der verschiedenen Verfahren zur IdentifIZierung hat.
Abstract: Das Buch behandelt die Systemidentifizierung in dem theoretischen Bereich, der direkte Auswirkungen auf Verstaendnis und praktische Anwendung der verschiedenen Verfahren zur Identifizierung hat. Da ...
20,436 citations
Book•
01 Jan 1980
TL;DR: In this article, a complete and detailed development of the analysis, design and characterization of non-linear systems using the Volterra and Wiener theories, as well as gate functions, is presented.
Abstract: This text presents a complete and detailed development of the analysis, design and characterization of non-linear systems using the Volterra and Wiener theories, as well as gate functions, thus yielding new insights and a better comprehension of the subject. The Volterra and Wiener theories are useful in the study of systems in biological, mechanical, and electrical fields.
2,210 citations
TL;DR: In this paper, the authors review the development of new reduced-order modeling techniques and discuss their applicability to various problems in computational physics, including aerodynamic and aeroelastic behaviors of two-dimensional and three-dimensional geometries.
732 citations
Book•
05 Oct 2001
TL;DR: This paper presents a meta-modelling framework for model-based controller design that automates the very labor-intensive and therefore time-heavy and expensive process of manually specifying Volterra Model parameters.
Abstract: 1. Introduction.- 2. Qualitative Behavior.- 3. Restrietions & Extensions.- 4. Determination of Volterra Model Parameters.- 5. Practical Considerations in Volterra Model Identification.- 6. Model-Based Controller Synthesis.- 7. Advanced Direct Synthesis Controller Design.- 8. Model Predictive Control Using Volterra Series.- 9. Application Case Studies.- 10. Summary.
258 citations