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Analysis on the time and frequency domain for the RC electric circuit of fractional order

100%
Guía M., Gómez F., Rosales J.
Open Physics
|
2013
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vol. 11
|
issue 10
1366-1371
EN
This paper provides an analysis in the time and frequency domain of an RC electrical circuit described by a fractional differential equation of the order 0 < α≤ 1. We use the Laplace transform of the fractional derivative in the Caputo sense. In the time domain we emphasize on the delay, rise and settling times, while in the frequency domain the interest is in the cutoff frequency, the bandwidth and the asymptotes in low and high frequencies. All these quantities depend on the order of differential equation.
2
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RLC electrical circuit of non-integer order

100%
Gómez F., Rosales J., Guía M.
Open Physics
|
2013
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vol. 11
|
issue 10
1361-1365
EN
In this work a fractional differential equation for the electrical RLC circuit is studied. The order of the derivative being considered is 0 < γ ≤ 1. To keep the dimensionality of the physical quantities R, L and C an auxiliary parameter γ is introduced. This parameter characterizes the existence of fractional components in the system. It is shown that there is a relation between and σ through the physical parameters RLC of the circuit. Due to this relation, the analytical solution is given in terms of the Mittag-Leffler function depending on the order of the fractional differential equation.
3
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Nilpotency indices of state matrices and linear dependence on time of state variable of electrical circuits with state feedbacks

100%
Kaczorek T.
Archives of Electrical Engineering
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2010
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vol. 59
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issue 1
4
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Electric circuit analysis by means of optimization criteria. Part I - the simple circuits.

100%
Siwczyński M., Jaraczewski M.
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issue 4
5
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Minimum energy control of fractional positive electrical circuits

63%
Kaczorek T.
Archives of Electrical Engineering
|
2016
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vol. 65
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issue 2
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