A new formulation of fringing capacitance and its application to the control of parallel-plate electrostatic micro actuators

Hosseini, M.; Zhu, Guchuan; Peter, Yves-Alain

doi:10.1007/s10470-007-9067-3

Cited by 61 publications

(32 citation statements)

References 18 publications

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“…However, for the difficulty of mathematical treatment of such a complicated system, we regard the case that only the capacitance C is an arbitrary time function while R and L are constants. As well as it is more easier to vary the capacitance than to vary resistance and/or inductance, the electronic circuits that involve a time-varying capacitance have several applications in science and technology [11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Superposition states for quantum nanoelectronic circuits and their nonclassical properties

Choi

2016

Int Nano Lett

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Quantum properties of a superposition state for a series RLC nanoelectronic circuit are investigated. Two displaced number states of the same amplitude but with opposite phases are considered as components of the superposition state. We have assumed that the capacitance of the system varies with time and a time-dependent power source is exerted on the system. The effects of displacement and a sinusoidal power source on the characteristics of the state are addressed in detail. Depending on the magnitude of the sinusoidal power source, the wave packets that propagate in charge(q)-space are more or less distorted. Provided that the displacement is sufficiently high, distinct interference structures appear in the plot of the time behavior of the probability density whenever the two components of the wave packet meet together. This is strong evidence for the advent of nonclassical properties in the system, that cannot be interpretable by the classical theory. Nonclassicality of a quantum system is not only a beneficial topic for academic interest in itself, but its results can be useful resources for quantum information and computation as well.

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Section: Introductionmentioning

confidence: 99%

Superposition states for quantum nanoelectronic circuits and their nonclassical properties

Choi

2016

Int Nano Lett

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“…It is practically uniform when the electrodes are parallel surfaces, except for the edges, where the fringe effect appears, which might have up to a 35% effect on the capacitance [27]. When the electrode geometry is not parallel, the field is not uniform, becoming stronger in the region where the electrodes are closer and weaker in the regions where they are more distant.…”

Section: Methodsmentioning

confidence: 99%

Mobile Helical Capacitive Sensor for the Dynamic Identification of Obstructions in the Distribution of Solid Mineral Fertilizers

Dalacort

Stevan

2018

Sensors

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Modern agriculture uses techniques and technologies that have provided farmers with increased yield and a possible reduction in costs. Optimizing the use of inputs by applying exact and accurate doses, which match the real needs of the soil, in addition to supplying the necessary nutrients for the correct development of the crops, enables a reduction in costs and environmental impacts caused by the incorrect use of products such as fertilizers and pesticides. With this background, this paper presents a study on the development of a capacitive sensor to identify the absence, presence or variations in the distribution of solid mineral fertilizers. To evaluate this sensor, eight different formulations were tested in distribution analysis with an overflow dosing mechanism, both statically and dynamically, with 2% maximum moisture variation between all samples. The identification of an absence or presence of fertilizers was successful in 100% of the experiments. Tests to identify variations in the fertilizer distribution were carried out through simulated obstruction. The sensor identified a reduction in the fertilizer flow in all experiments, obtaining numeric variations above 55%. In the fertilizer formulation identification test, only the formulations 02-28-20 and 06-21-12 in experiments carried out with the overflow dosing mechanism did not differ statistically one from another, while all other formulations presented a statistically significant difference in the ANOVA analysis and the Tukey test at 5% significance.

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“…Additionally, capacitive fringing field effects have been ignored. This is a reasonable assumption as long as the electrode overlap area is much greater than the electrode separation distance squared [24]. Using (3), a nonlinear differential equation that models the PPA system dynamics can be developed: Here, m is the proof mass, typically the movable electrode, and c is the system coefficient of damping.…”

Section: Kinematics Of Ppasmentioning

confidence: 99%

Beyond Snap-In: A Hybrid Nonlinear Control Approach for Actuators Possessing a Square-Law Characteristic

Wang

Hou

et al. 2019

Electronics

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The undesired square-law characteristics in micro-electrostatic actuators and magnetic solenoids results in a limited stable range, which reduces their application fields and performance. This research investigated the isomorphic dynamics in these actuators and observed that the nonlinear drive force and the uncertain time delay are the challenges for the full range position controller design. A hybrid nonlinear control scheme includes an input-output linearization controller and a feedback posicast compensator for targeting these problems with abundant stability margin. The experimental results show that the stable range has been extended from 33% to 80%. Furthermore, it is the first literature report of this type of actuator that can track sinusoidal motion beyond the conventional stable range with an amplitude of 70% of the total range. This contribution can significantly enhance the performance of micro-sensors or expand the usage of electrostatic/magnetic actuators in motion-control systems.

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A new formulation of fringing capacitance and its application to the control of parallel-plate electrostatic micro actuators

Cited by 61 publications

References 18 publications

Superposition states for quantum nanoelectronic circuits and their nonclassical properties

Superposition states for quantum nanoelectronic circuits and their nonclassical properties

Mobile Helical Capacitive Sensor for the Dynamic Identification of Obstructions in the Distribution of Solid Mineral Fertilizers

Beyond Snap-In: A Hybrid Nonlinear Control Approach for Actuators Possessing a Square-Law Characteristic

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