Analysis of a nano positioning actuator using a numerical method combined with a analytic method

Rho, Jong-Seok; Kwak, Sang-Yeop; Chung, Tae-Kyung; Jung, Hyun–Kyo

doi:10.3233/jae-2008-945

Cited by 3 publications

(5 citation statements)

References 17 publications

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“…By applying the TDM into the EC equation, the governing equation at the n th time step can be induced by (7) [25]

V_{C}^{n} = false(I^{n - 1} + normald I^{n} false) R_{coil} + L^{n - 1} \frac{normald I^{n}}{normald t} + λ_{x}^{n - 1} \frac{d x^{n}}{d t}

which is subject to

V_{C}^{n} = V_{C}^{n - 1} - \frac{1}{C} I^{n} d t

L_{}^{n} = \frac{λ^{n} false(I, x false) - λ^{n - 1} false(I, x false)}{\partial I^{n}}

λ_{x}^{n} = \frac{λ^{n} false(I, x false) - λ^{n - 1} false(I, x false)}{\partial x^{n}}

From the voltage drop (8), the current difference at the n th time step d I n can be derived by

normald I^{n} = \frac{normald t ()(, V_{C}^{n} - I^{n - 1} R_{coil}) - λ_{x}^{n - 1} normald x^{n}}{R_{coil} normald t + L_{...}}

…”

Section: Analysis Methods For the Lamentioning

confidence: 99%

“…Hence, the inductance

L_{i}^{1}

and the small time step d t were calculated by applying a small amount of current into the governing equations. The governing equation to analyse the time step d t was derived from (7) to (12)

normald t = \frac{L_{i}^{0} normald I^{1}}{V_{c}^{1} - false(I^{0} + normald I^{1} false) R_{coil}} ≃ \frac{L_{i}^{1} d I^{1}}{V_{normalc}^{0} - (I^{0} + d I^{1}) R_{coil}}

By applying the TDM into (4)–(6), (13)–(15) can be derived [20, 25]

m ()(, \frac{normald v^{n}}{normald t} + g) = F_{lorentz}^{n} - F_{load}^{n}

\begin{matrix} right leftthickmathspace.5em \\ {bold-italicv}^{n} & = {bold-italicv}^{n - 1} + d {bold-italicv}^{n} \\ = {bold-italicv}^{n - 1} + (\frac{{bold-italicF}_{lorentz}^{n} - {bold-italicF}_{load}^{n} - m g}{m}) d t \end{matrix}

\begin{matrix} right leftthickmathspace.5em \\ {bold-italicx}^{n} & = {bold-italicx}^{n - 1} + d {bold-italicx}^{n} = {bold-italicx}^{n -} \end{matrix}

…”

Section: Analysis Methods For the Lamentioning

confidence: 99%

“…By applying the TDM into (4)-(6), (13)- (15) can be derived [20,25] (14) x n = x n−1 + dx n = x n−1 + v n dt (15) 5 Design and analysis of the LA for the MCCB…”

Section: Tdm For the Lamentioning

confidence: 99%

“…To consider these non-linear factors, the LA is analysed via the time step analysis by using TDM. By applying the TDM into the EC equation, the governing equation at the nth time step can be induced by (7) [25] V n C = (I n−1 + dI n )R coil + L n−1 dI n dt + l n−1 x dx n dt (7) which is subject to…”

Section: Tdm For the Lamentioning

confidence: 99%

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Characteristic analysis and design of a novel lorentz force driving actuator for a molded case circuit breaker

Bak

Jung

2015

IET Electric Power Applications

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Recently, the demand for a remote controllable actuator for a circuit breaker (CB) has increased because of the trend towards the automation and information technology (IT) of the power system. However, the conventional molded case CB (MCCB) -of which demand is high among CBs -is not only manually controlled, but also liable to breakdown and difficult to find broken components because of the use of the mechanical spring type actuator. To address these problems, a novel Lorentz force driving actuator (LA) is proposed in this research. The LA is suitable for both low-and high-power CBs because of its high power density and the unaffectedness of performance by the stroke. The MCCB equipped with the LA is the first remote controllable low-power CB and low in maintenance cost. The correct and rapid analysis and design method using a twodimensional magneto-static field analysis and a dynamic analysis is proposed for the small size actuator as LA in this research.

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“…By applying the TDM into the EC equation, the governing equation at the n th time step can be induced by (7) [25]

V_{C}^{n} = false(I^{n - 1} + normald I^{n} false) R_{coil} + L^{n - 1} \frac{normald I^{n}}{normald t} + λ_{x}^{n - 1} \frac{d x^{n}}{d t}

which is subject to

V_{C}^{n} = V_{C}^{n - 1} - \frac{1}{C} I^{n} d t

L_{}^{n} = \frac{λ^{n} false(I, x false) - λ^{n - 1} false(I, x false)}{\partial I^{n}}

λ_{x}^{n} = \frac{λ^{n} false(I, x false) - λ^{n - 1} false(I, x false)}{\partial x^{n}}

From the voltage drop (8), the current difference at the n th time step d I n can be derived by

normald I^{n} = \frac{normald t ()(, V_{C}^{n} - I^{n - 1} R_{coil}) - λ_{x}^{n - 1} normald x^{n}}{R_{coil} normald t + L_{...}}

…”

Section: Analysis Methods For the Lamentioning

confidence: 99%

“…Hence, the inductance

L_{i}^{1}

and the small time step d t were calculated by applying a small amount of current into the governing equations. The governing equation to analyse the time step d t was derived from (7) to (12)

normald t = \frac{L_{i}^{0} normald I^{1}}{V_{c}^{1} - false(I^{0} + normald I^{1} false) R_{coil}} ≃ \frac{L_{i}^{1} d I^{1}}{V_{normalc}^{0} - (I^{0} + d I^{1}) R_{coil}}

By applying the TDM into (4)–(6), (13)–(15) can be derived [20, 25]

m ()(, \frac{normald v^{n}}{normald t} + g) = F_{lorentz}^{n} - F_{load}^{n}

\begin{matrix} right leftthickmathspace.5em \\ {bold-italicv}^{n} & = {bold-italicv}^{n - 1} + d {bold-italicv}^{n} \\ = {bold-italicv}^{n - 1} + (\frac{{bold-italicF}_{lorentz}^{n} - {bold-italicF}_{load}^{n} - m g}{m}) d t \end{matrix}

\begin{matrix} right leftthickmathspace.5em \\ {bold-italicx}^{n} & = {bold-italicx}^{n - 1} + d {bold-italicx}^{n} = {bold-italicx}^{n -} \end{matrix}

…”

Section: Analysis Methods For the Lamentioning

confidence: 99%

“…By applying the TDM into (4)-(6), (13)- (15) can be derived [20,25] (14) x n = x n−1 + dx n = x n−1 + v n dt (15) 5 Design and analysis of the LA for the MCCB…”

Section: Tdm For the Lamentioning

confidence: 99%

Section: Tdm For the Lamentioning

confidence: 99%

See 2 more Smart Citations

Characteristic analysis and design of a novel lorentz force driving actuator for a molded case circuit breaker

Bak

Jung

2015

IET Electric Power Applications

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show abstract

“…Piezoelectric devices have been used in various applications such as miniature driving mechanisms [1], precision positioning [2,3], particle manipulations [4], communication systems [5], remote sensing [6],vibration control [7], chemical engineering [8], biomedical engineering [9], and microfluidics [10]. In most applications, electric energy is applied to the piezoelectric devices via lead wires soldered on the electrodes of piezoelectric components.…”

Section: Introductionmentioning

confidence: 99%

Piezoelectric device wirelessly driven by electric field

Bhuyan

Panda

2013

JAE

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Wireless drive of piezoelectric component by electric field has been proposed and experimentally investigated. The electric field is generated by a spiral coil antenna-like electric field generator. Wireless electric energy transmission to the piezoelectric component can be enhanced when the spiral coil antenna is in electric resonance with a capacitor. It has been found that the output power achieved wirelessly by the piezoelectric component depends on the operating frequency, electrical load, distance and electric field. At resonant frequency of 772 kHz and optimum electrical load resistance of 350 Ω, a maximum power of 0.362 mW has been received wirelessly by the piezoelectric plate operating in the thickness vibration mode, placed 4 mm away from antenna plane with input source power of 1.294 W. The excitation of the piezoelectric component is done remotely, so as the component does not require any wiring to the source and can be used in various sensors and actuators applications.

show abstract

Characteristic Analysis and Design of a Thomson Coil Actuator Using an Analytic Method and a Numerical Method

et al. 2013

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Analysis of a nano positioning actuator using a numerical method combined with a analytic method

Cited by 3 publications

References 17 publications

Characteristic analysis and design of a novel lorentz force driving actuator for a molded case circuit breaker

Characteristic analysis and design of a novel lorentz force driving actuator for a molded case circuit breaker

Piezoelectric device wirelessly driven by electric field

Characteristic Analysis and Design of a Thomson Coil Actuator Using an Analytic Method and a Numerical Method

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