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1

Marin, Cornel, and Ion Florin Popa. "Direct / Reverse Analogy between Mechanical System and RLC Series / Paralel Alternative Current Circuits - AC." Scientific Bulletin of Valahia University - Materials and Mechanics 17, no. 16 (May 1, 2019): 56–67. http://dx.doi.org/10.2478/bsmm-2019-0009.

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Abstract There is a direct analogy between the mechanical and electrical phenomena related to vibrations and electromagnetic oscillations in the RLC series AC circuits and an inverse analogy to the electromagnetic oscillations in the RLC parallel alternative current (AC) circuits. Direct analogy RLC series AC circuit refers to the connection between complex velocity and complex electrical intensity, mechanical impedance and electrical impedance, etc. Reverse analogy RLC parallel AC circuits refers to the connection between complex velocity and complex electrical voltage, mechanical impedance and electrical admission, etc.
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2

Backman, Philip, Chester Murley, and P. J. Williams. "The driven RLC circuit experiment." Physics Teacher 37, no. 7 (October 1999): 424–25. http://dx.doi.org/10.1119/1.880340.

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3

PAHLAVANI, H. "THE PERSISTENT CURRENT ON A DRIVEN MESOSCOPIC RLC CIRCUIT." International Journal of Modern Physics B 25, no. 23n24 (September 30, 2011): 3225–36. http://dx.doi.org/10.1142/s0217979211101788.

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The quantum theory for mesoscopic electric LC circuits with charge discreteness is briefly described. We take into account a resistance element (R) as an environment of the discrete-charge mesoscopic quantum LC circuit which is modeled by a Hamiltonian consisting of oscillators with continuous range of frequencies. Using a minimal coupling method, we investigate the quantum dynamics of this system. Hereby, the persistent current on a quantum damped L-design under the external potential source is obtained. Then, we write Heisenberg equations for a driven mesoscopic quantum RLC circuit with a dissipative term proportional to Ohmic damping and obtain persistent current on such a mesoscopic electric circuit.
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4

Wang Tian-Shu, Zhang Rui-De, Guan Zhe, Ba Ke, and Zu Yun-Xiao. "Properties of memristor in RLC circuit and diode circuit." Acta Physica Sinica 63, no. 17 (2014): 178101. http://dx.doi.org/10.7498/aps.63.178101.

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5

Dziarzhauskaya, Tatsiana, Igor Semchenko, and Sergei Khakhomov. "Helical Metamaterial Elements as RLC Circuit." Advanced Materials Research 1117 (July 2015): 122–25. http://dx.doi.org/10.4028/www.scientific.net/amr.1117.122.

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In the present paper, we study electromagnetic properties of single-turn, double-turn and DNA-like helices in microwave range. In particular, we determine the magnetic flux density in the center of the inclusions and their inductance and capacitance. In this paper we have numerically obtained the magnetic field of different kinds of helices: the single-turn helical element, the double-turn helical element, the half-turn helical element and DNA-like helical element. For these helical elements the inductance, capacitance and Q factor were calculated numerically.
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6

Jena, Saumya Ranjan, and Damayanti Nayak. "Approximate instantneous current in RLC circuit." Bulletin of Electrical Engineering and Informatics 9, no. 2 (April 1, 2020): 801–7. http://dx.doi.org/10.11591/eei.v9i2.1641.

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In this study, a mixed rule of degree of precision nine has been developed and implemented in the field of electrical sciences to obtain the instantaneous current in the RLC- circuit for particular value .The linearity has been performed with the Volterra’s integral equation of second kind with particular kernel . Then the definite integral has been evaluated through the mixed quadrature to obtain the numerical result which is very effective. A polynomial has been used to evaluate Volterra’s integral equation in the place of unknown functions. The accuracy of the proposed method has been tested taking different electromotive force in the circuit and absolute error has been estimated.
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7

YAN, ZHAN-YUAN, SHI-LIANG XU, and JIN-YING MA. "PATH INTEGRAL SOLUTIONS OF RLC MESOSCOPIC CIRCUIT WITH SOURCE." Modern Physics Letters B 26, no. 09 (April 8, 2012): 1250058. http://dx.doi.org/10.1142/s0217984912500583.

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In this paper, mesoscopic RLC circuit with source is studied with Feynman's path integral method. Resistance and source in the circuits make the quantization process rather complicated. To solve the problem, fluctuation analysis method is proposed to calculate the path integral propagator. Furthermore, the wave function and quantum fluctuation of the system are obtained, and time evolution characters of the system are discussed. The methods used in the paper would be helpful to the application of mesoscopic quantum theory.
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8

Kolářová, Edita. "Applications of second order stochastic integral equations to electrical networks." Tatra Mountains Mathematical Publications 63, no. 1 (June 1, 2015): 163–73. http://dx.doi.org/10.1515/tmmp-2015-0028.

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The theory of stochastic differential equations is used in various fields of science and engineering. This paper deals with vector-valued stochastic integral equations. We show some applications of the presented theory to the problem of modelling RLC electrical circuits by noisy parameters. From practical point of view, the second-order RLC circuits are of major importance, as they are the building blocks of more complex physical systems. The mathematical models of such circuits lead to the second order differential equations. We construct stochastic models of the RLC circuit by replacing a coefficient in the deterministic system with a noisy one. In this paper we present the analytic solution of these equations using the Itô calculus and compute confidence intervals for the stochastic solutions. Numerical simulations in the examples are performed using Matlab.
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9

Khalifa, Yaser M. A., Badar Khan, and Faisal Taha. "Multiobjective Optimization Tool for a Free Structure Analog Circuits Design Using Genetic Algorithms and Incorporating Parasitics." Journal of Artificial Evolution and Applications 2008 (September 8, 2008): 1–9. http://dx.doi.org/10.1155/2008/761380.

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This paper presents a novel approach for a free structure analog circuit design using genetic algorithms (GAs). A major problem in a free structure circuit is its sensitivity calculations as a polynomial approximation for the design is not available. A further problem is the effect of parasitic elements on the resulting circuit's performance. In a single design stage, circuits that are produced satisfy a specific frequency response specifications using circuit structures that are unrestricted and with component values that are chosen from a set of preferred values including their parasitic effects. The sensitivity to component variations for the resulting designs is performed using a novel technique and is incorporated in the fitness evaluation function. The extra degrees of freedom resulting form unbounded circuit structures create a huge search space. The application chosen is an RLC ladder filters circuit design.
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10

YUAN, HONG-CHUN, XUE-XIANG XU, XUE-FEN XU, and HONG-YI FAN. "FLUCTUATIONS AT FINITE TEMPERATURE AND THERMODYNAMICS OF MESOSCOPIC RLC CIRCUIT CALCULATED BY USING GENERALIZED THERMAL VACUUM STATE." Modern Physics Letters B 25, no. 31 (November 21, 2011): 2353–61. http://dx.doi.org/10.1142/s0217984911027650.

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By using the partial trace method and the technique of integration within an ordered product of operators we obtain the explicit expression of the generalized thermal vacuum state (GTVS) for an RLC circuit instead of using the Takahashi–Umezawa approach. According to thermal field dynamics (TFD), namely, the expectation value of physical observables in this GTVS is equivalent to their ensemble average, based on GTVS we successfully derive the quantum fluctuations at nonzero temperature and the thermodynamical relations for the mesoscopic RLC circuit. Our results show that the higher the temperature is, the more quantum noise the RLC circuit exhibits.
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11

Hlaing, Mya Thida, Wah Wah Aung, and Thae Thae Htwe. "Application of Laplace Transform for RLC Circuit." International Journal of Science and Engineering Applications 8, no. 8 (August 12, 2019): 317–19. http://dx.doi.org/10.7753/ijsea0808.1014.

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12

Zhou, Rui, Diyi Chen, and Herbert H. C. Iu. "Fractional-Order 2 × n RLC Circuit Network." Journal of Circuits, Systems and Computers 24, no. 09 (August 27, 2015): 1550142. http://dx.doi.org/10.1142/s021812661550142x.

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This paper introduces new fundamentals of the 2 × n RLC circuit network in the fractional-order domain. First, we derive the three general formulae of the equivalent impedances of the circuit network by using the matrix transform methods and constructing the differential equation models in three different cases. Moreover, we systematically study the effects of the system parameters on the impedence characteristics in the three different cases. Specifically, the new phenomena and laws are presented by the results of the numerical simulations, which are impossible in the conventional cases. Finally, a comparative sensitivity analysis about the three cases with respect to the fractional orders for the fractional-order circuit network is carried out in detail. Mathematical analyses and numerical simulations are included to validate the study.
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13

Pedrosa, I. A., and A. P. Pinheiro. "Quantum Description of a Mesoscopic RLC Circuit." Progress of Theoretical Physics 125, no. 6 (June 1, 2011): 1133–41. http://dx.doi.org/10.1143/ptp.125.1133.

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14

Faleski, Michael C. "Transient behavior of the driven RLC circuit." American Journal of Physics 74, no. 5 (May 2006): 429–37. http://dx.doi.org/10.1119/1.2174032.

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15

Tang, Wei Feng, Guo Ming Xia, An Ping Qiu, and Yan Su. "Simulation and Experimental Verification of Silicon Microgyroscope's Closed-Loop Driving Circuits Based on Cadence." Key Engineering Materials 645-646 (May 2015): 543–47. http://dx.doi.org/10.4028/www.scientific.net/kem.645-646.543.

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The output-current of silicon microgyroscope is at the level of 10-7A, so the requirements for circuits’ SNR are very high. This paper conducts the simulation of closed-loop driving circuits in Cadence on the basis of a RLC series resonant circuit. It turns out that experimental results fit the simulation which has a great significance for improving the property of circuits. First of all, the operating principle of silicon microgyroscope is introduced. Secondly, a RLC series resonant circuit is established by measuring Q value and driving frequency. Then the overall simulation is conducted in Cadence combined with chips’ models offered by the manufacturers. Finally, the accuracy of simulation is verified by experiments. Experimental results show that, the relative error of driving sense signal’s value is 0.5%, for stability time the value is 0.6% and for driving frequency the value is 38ppm. Experimental results agree well with the simulation, which confirms simulation’s accuracy. This has a great significance for improving the property of circuits.
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16

LIANG, BAO-LONG, JI-SUO WANG, and XIANG-GUO MENG. "QUANTIZATION FOR THE MESOSCOPIC RLC CIRCUIT AND ITS THERMAL EFFECT BY VIRTUE OF GHFT." Modern Physics Letters B 23, no. 30 (December 10, 2009): 3621–30. http://dx.doi.org/10.1142/s0217984909021661.

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The mesoscopic single RLC (resistance-inductance-capacitance) circuit and the RLC circuit including complicated coupling are quantized by employing Dirac's standard canonical quantization method. The thermal effects for the systems are investigated by virtue of GHFT (the generalized Hellmann–Feynman theorem). The results distinctly show the effect of temperature on the quantum fluctuation.
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17

Faudzi, Ahmad’ ‘Athif Mohd, and Na Zhang. "Analysis on the Performance of a Second-order and a Third-order RLC Circuit of PRBS Generator." Journal of Integrated and Advanced Engineering (JIAE) 1, no. 1 (April 30, 2021): 1–10. http://dx.doi.org/10.51662/jiae.v1i1.7.

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A pseudo-binary random signal (PRBS) has been widely utilized for system identification in complex signals to develop an experimental approach. PRBS generator is a circuit that generates pseudo-random numbers. This work aims to analyze the best fit value of the PRBS generator with second-order and third-order under-damped black-box RLC circuit of the estimated model. The procedures conducting here can be divided into three parts. First, to design two black boxes using the RLC circuit representing a critically under-damped second-order and third-order system. PRBS generated with maximum-length sequence (MLS) equals 127 bits by using seven shift registers. Second, simulate the PRBS generator using MATLAB software and validate the estimated model from the simulation using the System Identification Tool in MATLAB. Next, connecting hardware RLC circuit and reading input and output signals using an oscilloscope. Finally, 2500 samples of captured data were used for estimation. Then, analyze and compare the best fit of the simulation and experiment with second-order and third-order under-damped black-box RLC circuit. Furthermore, analyze and compare best fit using different sample time. The results showed that the best fit of the second-order model with under-damped black-box RLC circuit was autoregressive with the exogenous term (ARX) 211, where the best fit of the simulation was 99.88%, and the best fit of the experiment was 96.04%. And the results showed that the best fit of the third-order model with an under-damped black-box RLC circuit was ARX 331, where the best fit of the simulation was 99%, and the best fit of the experiment was 94.28%. It was concluded that the best fit value of the second-order was better than the third order. What’s more, the results showed that when the select range is the same, the bigger the sample time, the better the best fit.
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18

Hadiningrum, Kunlestiowati, Ratu Fenny Muldiani, and Defrianto Pratama. "The Effect of Capacitance on the Power Factor Value of Parallel RLC Circuits." Current Journal: International Journal Applied Technology Research 1, no. 2 (October 1, 2020): 120–27. http://dx.doi.org/10.35313/ijatr.v1i2.27.

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The power factor of the circuit is determined by the amount of pure resistance (R), self-inductance of the coil (L) and the capacitance of the capacitor (C). In this study, the measurement of the power factor value in a parallel RLC circuit was carried out through experimental testing and simulation with the value of C as the independent variable, while the values of R and L were fixed conditioned quantities. The purpose of this study was to determine the effect of capacitance on a parallel RLC circuit. One of the ways to improve the power factor value in a circuit is to install capacitive compensation using a capacitor. The relation between the power factor value and the capacitance and inductive reactance based on the experimental results and the simulation calculation results in the parallel RLC circuit both shows the same pattern with a relative uncertainty below 8%. The experimental results and simulation results both show that the power factor can be improved by using a right capacitance which is around the capacitance value when there is resonance in the circuit.
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19

Chen, Jin, Long Li Bao, Ya Yun Yu, and Fang Ding. "Design of the Embedded RLC Measurement Module." Applied Mechanics and Materials 716-717 (December 2014): 898–901. http://dx.doi.org/10.4028/www.scientific.net/amm.716-717.898.

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Based on the frequency measurement principle, an embedded RLC measurement module was designed in this paper. By the RC oscillator circuit and LC three-point oscillator circuit, the R, L, C analog parameters can be converted into a digital frequency for single-chip computer processing, according to the relationship between a function of frequency and component parameters, the RLC components corresponding parameter values is calculated​​. Experimental results showed that the RLC module has an automatic conversion range, high precision, enabling network connections and so on. It can be applied to management and fault monitoring and forecasting power transmission lines, oil and gas pipelines and submarine cables and other important public facilities.
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20

LONG CHAO-YUN and LIU BO. "DOUBLE-WAVE FUNCTION OF RLC CIRCUIT AFTER QUANTIZATION." Acta Physica Sinica 50, no. 6 (2001): 1011. http://dx.doi.org/10.7498/aps.50.1011.

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21

Long Chao-Yun. "The quantum fluctuation of parallel mesoscopic RLC circuit." Acta Physica Sinica 52, no. 8 (2003): 2033. http://dx.doi.org/10.7498/aps.52.2033.

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22

Xu, Cheng-Lin. "Number-phase quantization of a mesoscopic RLC circuit." Chinese Physics B 21, no. 2 (February 2012): 020402. http://dx.doi.org/10.1088/1674-1056/21/2/020402.

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23

Li, Chunlai, Yang Zhou, Yanfeng Yang, Hongmin Li, Wei Feng, Zhaoyu Li, and Youli Lu. "Complicated dynamics in a memristor-based RLC circuit." European Physical Journal Special Topics 228, no. 10 (October 2019): 1925–41. http://dx.doi.org/10.1140/epjst/e2019-800195-8.

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24

Xiao-Yan, Zhang, Wang Ji-Suo, and Fan Hong-Yi. "Fluctuation of Mesoscopic RLC Circuit at Finite Temperature." Chinese Physics Letters 25, no. 9 (September 2008): 3126–28. http://dx.doi.org/10.1088/0256-307x/25/9/009.

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25

Ying-Hua, Ji, Luo Hai-Mei, and Lei Min-Sheng. "The Squeezing Effect in a Mesoscopic RLC Circuit." Communications in Theoretical Physics 38, no. 5 (November 15, 2002): 611–14. http://dx.doi.org/10.1088/0253-6102/38/5/611.

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26

Wu, Wei-Feng, and Hong-Yi Fan. "Energy distribution in quantized mesoscopic RLC electric circuit." Modern Physics Letters B 30, no. 24 (September 10, 2016): 1650321. http://dx.doi.org/10.1142/s0217984916503218.

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Quantum information processing experimentally depends on optical-electronic devices. In this paper, we consider quantized mesoscopic RLC (resistance, inductance and capacitance) electric circuit in stable case as a quantum statistical ensemble, and calculate energy distribution (i.e. the energy stored in inductance and capacitance as well as the energy consumed on the resistance). For this aim, we employ the technique of integration within ordered product (IWOP) of operator to derive the thermo-vacuum state for this mesoscopic system, with which ensemble average energy calculation is replaced by evaluating expected value in pure state. This approach is concise and the result we deduced is physically appealling.
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27

Ji-Suo, Wang, Liu Tang-Kun, and Zhan Ming-Sheng. "Quantum Wavefunctions and Fluctuations of Mesoscopic RLC Circuit." Chinese Physics Letters 17, no. 7 (July 1, 2000): 528–29. http://dx.doi.org/10.1088/0256-307x/17/7/023.

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28

Hroncová, Darina. "BOND GRAPH METHODOLOGY IN THE RLC CIRCUIT ANALYSIS." TECHNICAL SCIENCES AND TECHNOLOGIES, no. 3(17) (2019): 261–70. http://dx.doi.org/10.25140/2411-5363-2019-3(17)-155-161.

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Urgency of the research. The bond graphs theory aim for to formulate general class physical systems over power interactions. The factors of power are effort and flow. They have different interpretations in different physical domains. Yet, power can always be used as a generalized resource to model coupled systems residing in several energy domains. Target setting. Formalism of power graphs enables to describe different physical systems and their interactions in a uniform, algorithmizable way and transform them into state space description. This is useful when analyzing mechatronic systems transforming various forms of energy (electrical, fluid, mechanical) by means of information signals to the resulting mechanical energy. Actual scientific researches and issues analysis. Over the past two decades the theory of Bond Graphs has been paying attention to universities around the world, and bond graphs have been part of study programs at an ever-increasing number of universities. In the last decade, their industrial use is becoming increasingly important. The Bond Graphs method was introduced by Henry M. Paynter (1923-2002), a professor at MIT & UT Austin, who started publishing his works since 1959 and gradually worked out the terminology and formalism known today as Bond Graphs translated as binding graphs or performance graphs. Uninvestigated parts of general matters defining. The electrical system model is solved with the help of the above mentioned bond graphs formalism. Gradually, the theory of power graphs in the above example is explained up to the construction of state equations of the electrical system. The state equations are then solved in Matlab / Simulink. The statement of basic materials. Using bond graphs theory to simulate electrical system and verify its suitability for simulating electrical models. In various versions of the parameters of model we can monitor its behavior under different operating conditions. The language of bond graphs aspires to express general class physical systems through power interactions. The factors of power i.e., effort and flow, have different interpretations in different physical domains. Yet, power can always be used as a generalized coordinate to model coupled systems residing in several energy domains. Conclusions. We introduced a method of systematically constructing a bond graph of an electrical system model using Bond graphs. A practical example of an electrical model is given as an application of this methodology. Causal analysis also provides information about the correctness of the model. Differential equations describing the dynamics of the system in terms of system states were derived from a simple electrical system coupling graph. The results correspond to the equations obtained by the classical manual method, where first the equations for individual components are created and then a simulation scheme is derived based on them. The presented methodology uses the reverse procedure. However, manually deriving equations for more complex systems is not so simple. Bond charts prove to be a suitable means of analysis, among other systems and electrical systems.
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29

Ran, Manjie, Xiaozhong Liao, Da Lin, and Ruocen Yang. "Analog Realization of Fractional-Order Capacitor and Inductor via the Caputo–Fabrizio Derivative." Journal of Advanced Computational Intelligence and Intelligent Informatics 25, no. 3 (May 20, 2021): 291–300. http://dx.doi.org/10.20965/jaciii.2021.p0291.

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Capacitors and inductors have been proven to exhibit fractional-order characteristics. Therefore, the establishment of fractional-order models for circuits containing such components is of great significance in practical circuit analysis. This study establishes the impedance models of fractional-order capacitors and inductors based on the Caputo–Fabrizio derivative and performs the analog realization of fractional-order electronic components. The mathematical models of fractional RC, RL, and RLC electrical circuits are deduced and verified via a comparison between the numerical simulation and the corresponding circuit simulation. The electrical characteristics of the fractional circuits are analyzed. This study not only enriches the models of fractional capacitors and inductors, but can also be applied to the description of circuit characteristics to obtain more accurate results.
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30

Magesh, N., and A. Saravanan. "Generalized Differential Transform Method for Solving RLC Electric Circuit of Non-Integer Order." Nonlinear Engineering 7, no. 2 (June 26, 2018): 127–35. http://dx.doi.org/10.1515/nleng-2017-0070.

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AbstractSystematic construction of fractional ordinary differential equations [FODEs] has gained much attention nowadays research because dimensional homogeneity plays a major role in mathematical modeling. In order to keep up the dimension of the physical quantities, we need some auxiliary parameters. When we utilize auxiliary parameters, the FODE turns out to be more intricate. One of such kind of model is non-homogeneous fractional second order RLC circuit. To solve this kind of complicated FODEs, we need proficient modern analytical method. In this paper, we use two different methods, one is modern and the other is traditional, namely generalized differential transform Method (GDTM) and Laplace transform method (LTM) to obtain the analytical solution of non-homogeneous fractional second order RLC circuit. We present the solution in terms of convergent series. Though GDTM and LTM are capable to produce the exact solution of fractional RLC circuit, great strength of GDTM over LTM is that differential transform of initial conditions occupy the coefficients of first two terms in series solution so that we arrive exact solution with few iterations and also, it does not allow the noise terms while computing the coefficients. Due to this, GDTM takes less time to converge than LTM and it has been demonstrated. Furthermost, we discuss the characteristics of non-homogeneous fractional second order RLC circuit through numerical illustrations.
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31

Priambodo, Purnomo Sidi, Yosua Adriadi, and Taufiq Alif Kurniawan. "Transformerless SoC-based current control switching battery charger for e-vehicle: design and analysis." E3S Web of Conferences 67 (2018): 03044. http://dx.doi.org/10.1051/e3sconf/20186703044.

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Electric-based vehicles become a necessity in the future to dramatically reduce the effects of pollution. There are various devices involve in the operation of electric vehicles, one of which is a battery charger. This paper discusses the design steps, circuit and ripple performance analysis associated with building a battery charger system. The analysis shows the differences between RL and RC circuits in controlling the output voltage average and the ripples. It shows how RLC mixed circuit improve performance in both controlling the output voltage average and the ripple suppression.
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32

Panuluh, AH. "The Lagrangian and Hamiltonian for RLC Circuit: Simple Case." International Journal of Applied Sciences and Smart Technologies 2, no. 2 (December 5, 2020): 79–88. http://dx.doi.org/10.24071/ijasst.v2i2.2519.

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The Lagrangian and Hamiltonian for series RLC circuit has been formulated. We use the analogical concept of classical mechanics with electrical quantity. The analogy is as follow mass, position, spring constant, velocity, and damping constant corresponding with inductance, charge, the reciprocal of capacitance, electric current, and resistance respectively. We find the Lagrangian for the LC, RL, RC, and RLC circuit by using the analogy and find the kinetic and potential energy. First, we formulate the Lagrangian of the system. Second, we construct the Hamiltonian of the system by using the Legendre transformation of the Lagrangian. The results indicate that the Hamiltonian is the total energy of the system which means the equation of constraints is time independent. In addition, the Hamiltonian of overdamping and critical damping oscillation is distinguished by a certain factor.
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33

Pedrosa, I. A. "Quantum description of a time-dependent mesoscopic RLC circuit." Physica Scripta T151 (November 1, 2012): 014042. http://dx.doi.org/10.1088/0031-8949/2012/t151/014042.

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34

Haška, Kristian, Dušan Zorica, and Stevan M. Cvetićanin. "Fractional RLC circuit in transient and steady state regimes." Communications in Nonlinear Science and Numerical Simulation 96 (May 2021): 105670. http://dx.doi.org/10.1016/j.cnsns.2020.105670.

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35

ITOH, MAKOTO, and LEON O. CHUA. "DUALITY OF MEMRISTOR CIRCUITS." International Journal of Bifurcation and Chaos 23, no. 01 (January 2013): 1330001. http://dx.doi.org/10.1142/s0218127413300012.

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In this paper, we show that the dynamics of any memristor circuits can be simulated by a corresponding "dual" nonlinear RLC circuit where the memristor is substituted by a nonlinear resistor. They are in one-to-one correspondence, that is, they are duals of each other. We also propose a method for synchronizing these dual dynamic nonlinear circuits. We next define memory elements which can be characterized by charge and flux. The memory-element circuits can also be simulated by their corresponding dual nonlinear RLC circuits. We then define 2-terminal elements which are characterized by complementary pair of signals, and study them from the view point of one-to-one correspondence. We finally show an example of 2-terminal elements such that the terminal voltage and current are identical, and their time-derivatives of any order are also identical, however, their time-integrals are different. That is, these 2-terminal elements are in one-to-one correspondence except for the time-integral signals.
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36

SOLIMAN, AHMED M. "HISTORY AND PROGRESS OF THE KERWIN–HUELSMAN–NEWCOMB FILTER GENERATION AND OP AMP REALIZATIONS." Journal of Circuits, Systems and Computers 17, no. 04 (August 2008): 637–58. http://dx.doi.org/10.1142/s0218126608004551.

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The history of Kerwin–Huelsman–Newcomb (KHN) second-order filter is reviewed. A generation method of the KHN filter from passive RLC filter is presented. Two alternative forms of the KHN circuit using operational amplifier are reviewed. The effect of finite gain-bandwidth of the op amps is considered and expressions of the actual ω0 and Q are given. Two KHN circuits with inherently stable Q factor are also included. Two new partially compensated inverted KHN circuits are introduced. Active compensation methods to improve the KHN and the inverted KHN circuit performance for high Q designs are summarized. Spice simulation results are given. The progress of the KHN realizations using the current conveyor is also summarized briefly.
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37

Wu, Chaojun, Qi Zhang, Zhang Liu, and Ningning Yang. "Dynamic Behaviors Analysis of a Novel Fractional-Order Chua’s Memristive Circuit." Mathematical Problems in Engineering 2021 (July 12, 2021): 1–15. http://dx.doi.org/10.1155/2021/5896353.

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This paper proposed a novel fractional-order Chua’s memristive circuit. Firstly, a fractional-order mathematical model of a diode bridge generalized memristor with RLC filter cascade is established, and simulations verify that the fractional-order generalized memristor satisfies the basic characteristics of a memristor. Secondly, the capacitor and inductor in Chua’s chaotic circuit are extended to the fractional order, and the fractional-order generalized memristor is used instead of Chua’s diode to establish the fractional-order mathematical model of chaotic circuit based on RLC generalized memristor. By studying the stability analysis of the equilibrium point and the influence of the circuit parameters on the system dynamics, the dynamic characteristics of the proposed chaotic circuit are theoretically analyzed and numerically simulated. The results show that the proposed fractional-order memristive chaotic circuit has gone through three states: period, bifurcation, and chaos, and a narrow period window appears in the chaotic region. Finally, the equivalent circuit method is adopted in PSpice to realize the construction of the fractional-order capacitance and inductance, and the simulation of the fractional-order memristive chaotic circuit is completed. The results further verify the correctness of the theoretical analysis.
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38

Tokuyama, Mitugi, and Hirokazu Ohtagaki. "Chaos in RLC Series Circuit with GIC-Electronic Nonlinear Inductor." IEEJ Transactions on Electronics, Information and Systems 118, no. 9 (1998): 1278–84. http://dx.doi.org/10.1541/ieejeiss1987.118.9_1278.

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39

Fan Hong-Yi and He Rui. "Quantum dissipation of the density matrix of mesoscopic RLC circuit." Acta Physica Sinica 63, no. 11 (2014): 110301. http://dx.doi.org/10.7498/aps.63.110301.

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40

Zhou, Ling, Zhi-zhong Tan, and Qing-hua Zhang. "A fractional-order multifunctional n-step honeycomb RLC circuit network." Frontiers of Information Technology & Electronic Engineering 18, no. 8 (August 2017): 1186–96. http://dx.doi.org/10.1631/fitee.1601560.

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41

Zhang, Zhi-Ming, Lin-Sheng He, and Shi-Kang Zhou. "A quantum theory of an RLC circuit with a source." Physics Letters A 244, no. 4 (July 1998): 196–200. http://dx.doi.org/10.1016/s0375-9601(98)00295-3.

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42

Zycki, Z., and K. Pawluk. "Design of RLC circuit for pulse magnetizer of permanent magnets." COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering 17, no. 3 (1998): 412–17. http://dx.doi.org/10.1108/03321649810369519.

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43

Cotfas, Petru, Daniel Cotfas, Paul Borza, Dezso Sera, and Remus Teodorescu. "Solar Cell Capacitance Determination Based on an RLC Resonant Circuit." Energies 11, no. 3 (March 16, 2018): 672. http://dx.doi.org/10.3390/en11030672.

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44

Kim, Jong-Hyun, and Jong-Jean Kim. "Thiourea[SC(NH2)2] in RLC circuit: Nonlinear dynamic response." Ferroelectrics 105, no. 1 (May 1990): 249–54. http://dx.doi.org/10.1080/00150199008224650.

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45

Hayati Raad, Shiva, and Zahra Atlasbaf. "Equivalent RLC Ladder Circuit for Scattering by Graphene-Coated Nanospheres." IEEE Transactions on Nanotechnology 18 (2019): 212–19. http://dx.doi.org/10.1109/tnano.2019.2893350.

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46

KAWAI, T., Y. NAKASHIMA, Y. KOKUBO, and I. OHTA. "Dual-Band Wilkinson Power Dividers Using a Series RLC Circuit." IEICE Transactions on Electronics E91-C, no. 11 (November 1, 2008): 1793–97. http://dx.doi.org/10.1093/ietele/e91-c.11.1793.

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47

Liang, Bao-Long, Ji-Suo Wang, Shi-Xue Song, and Xiang-Guo Meng. "Equivalent Analogy of Mesoscopic RLC Circuit and Its Thermal Effect." International Journal of Theoretical Physics 49, no. 8 (April 23, 2010): 1768–74. http://dx.doi.org/10.1007/s10773-010-0357-7.

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48

Chuamuangphan, Pipat, C. Chuamuangphan, and Kamchai Treechairusme. "The Superconducting Magnetic Properties of YBCO Effect on the Inductance of Coil." Advanced Materials Research 93-94 (January 2010): 668–71. http://dx.doi.org/10.4028/www.scientific.net/amr.93-94.668.

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The effect of the magnetic properties of YBCO superconductors on the inductance of coil were studied in order to the dependence on temperature of effective penetration depth and the variation potential difference for damped oscillation in RLC series circuit. In this work, The samples of YBa2Cu3-xAgxO7- were prepared by solid state reaction in air at 950 ๐C for 24 hr. serves as the core of solenoids. The inductance of solenoids changes up with the increasing of temperature from boiling point of liquid nitrogen (77 K) to room temperature had been measured. Then we calculated to the effective penetration depth. We found that there were increase correspond with the increasing of temperature and the critical temperature decreased and then increased with the increase in Ag2O concentration of x = 0.1 and 0.2 , respectively. The variation potential difference for damped oscillation in RLC series circuit. We found that the decreasing of amplitude per cycle of the samples at superconducting state larger than those at normal state and phases shift in the damping oscillattion of RLC circuit at superconducting state are less than that at normal state, discussed as in inductance, the magnetic flux entering through the samples at superconducting state are less than that at normal state.
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49

Greenwood, Eric. "Mesoscopic RLC Circuit and Its Associated Occupation Number and Berry Phase." Physical Science International Journal 16, no. 3 (January 10, 2017): 1–12. http://dx.doi.org/10.9734/psij/2017/37327.

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50

Malarvizhi, M., S. Karunanithi, and N. Gajalakshmi. "NUMERICAL ANALYSIS USING RK - 4 IN TRANSIENT ANALYSIS OF RLC CIRCUIT." Advances in Mathematics: Scientific Journal 9, no. 8 (August 19, 2020): 6115–24. http://dx.doi.org/10.37418/amsj.9.8.79.

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