An extension of the lumped-network FDTD method to linear two-port lumped circuits

González, Óscar; Pereda, José Antonio Martín; Herrera, A.; Vegas, Α.

doi:10.1109/tmtt.2006.877058

Cited by 37 publications

(20 citation statements)

References 19 publications

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“…One approach is to use the S-parameters to represent the devices [1], [2] and the other is using spice models to account for the devices [3]- [24]. Whenever a device's S-parameters are available, they can be converted into Y-parameters through the network theory [25].…”

Section: Research Motivationsmentioning

confidence: 99%

“…In order to improve the low efficiency of iterative processing of the arbitrary lumped network in one FDTD cell, many methods were developed using the V-I relations (admittance or impedance) to process the lumped network into the FDTD method [18]- [24]. The lumped-network FDTD (LN-FDTD) method [18] used a two-step procedure to transform the device's impedance in the Laplace domain through the bilinear transform into the Z-domain and then again into the discrete time-domain.…”

Section: Finite-difference Time-domain Analysis Of Lumped Devicesmentioning

confidence: 99%

“…However, except for an extension to [18] to integrate a two-port device into the FDTD method [24], the methods reported in [19]- [23] were all designed to treat one-port devices. For circuits providing complex functionality, two-port or possibly multi-port devices whether passive or active, are sure to appear in the circuits.…”

Section: Finite-difference Time-domain Analysis Of Lumped Devicesmentioning

confidence: 99%

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An Efficient Scheme for Processing Arbitrary Lumped Multiport Devices in the Finite-Difference Time-Domain Method

Wang

Kuo

2007

IEEE Trans. Microwave Theory Techn.

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Developing full-wave simulators for high-frequency circuit simulation is a topic many researchers have investigated. Generally speaking, methods invoking analytic pre-processing of the device's V-I relations (admittance or impedance) are computationally more efficient than methods employing numerical procedure to iteratively process the device at each time step. For circuits providing complex functionality, two-port or possibly multi-port devices whether passive or active, are sure to appear in the circuits. Therefore, extensions to currently available full-wave methods for handling one-port devices to process multi-port devices would be useful for hybrid microwave circuit designs. In this dissertation, an efficient scheme for processing arbitrary multi-port devices in the finite-difference time-domain (FDTD) method is proposed. The device's admittance is analytically pre-processed and fitted into one grid cell. With an improved time-stepping expression, the computation efficiency is further increased.Multi-port devices in the circuit can be systematically incorporated and analyzed in a full-wave manner. The accuracy of the proposed method is verified by comparison with results from the equivalent current-source method and is numerically stable.iii

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Section: Research Motivationsmentioning

confidence: 99%

Section: Finite-difference Time-domain Analysis Of Lumped Devicesmentioning

confidence: 99%

Section: Finite-difference Time-domain Analysis Of Lumped Devicesmentioning

confidence: 99%

See 1 more Smart Citation

An Efficient Scheme for Processing Arbitrary Lumped Multiport Devices in the Finite-Difference Time-Domain Method

Wang

Kuo

2007

IEEE Trans. Microwave Theory Techn.

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“…The key point of researching the LN-FDTD method is to import the current expression of lumped network into the Maxwell's equations. Generally, there are three common methods to derive the current expression at the loaded place: directly deducing by the volt-ampere characteristic [5], basing on the piecewise linear recursive convolution (PLRC) technique [6][7][8], using Z-transform approach [9][10][11][12]. Furthermore, the PLRC technique and Z-transform can be applied to model arbitrary linear lumped network, whereas arbitrary linear lumped network is difficult to be modeled by the voltampere characteristic.…”

Section: Introductionmentioning

confidence: 99%

The Adi-FDTD Method Including Lumped Networks Using Piecewise Linear Recursive Convolution Technique

Xia¹,

Chu

Kong³

et al. 2013

PIER M

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Abstract-The lumped network alternating direction implicit finite difference time domain (LN-ADI-FDTD) technique is proposed as an extension of the conventional ADI-FDTD method in this paper, which allows the lumped networks to be inserted into some ADI-FDTD cells. Based on the piecewise linear recursive convolution (PLRC) technique, the current expression of the loaded place can be obtained. Then, substituting the expression into the ADI-FDTD formulas, the difference equations including an arbitrary linear network are derived. For the sake of showing the validity of the proposed scheme, lumped networks are placed on the microstrip and the voltage across the road is computed by the lumped network finite difference time domain (LN-FDTD) method and LN-ADI-FDTD method, respectively. Moreover, the results are compared with those of obtained by using the circuital simulator ADS. The agreement among all the simulated results is achieved, and the extended ADI-FDTD method has been shown to overcome the Courant-Friedrichs-Lewy (CFL) condition.

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“…Then the so-called lumped-network FDTD (LN-FDTD) is presented [12], which is an improvement of the LE-FDTD technique and allows a systematic and simple incorporation of arbitrary linear RLC oneport lumped networks into a single FDTD cell by using Z-transform signal-processing technique [9][10][11]. This approach can also be extended to model two-port lumped circuits, and it is often referred to as the TP-LN-FDTD method [12]. Based on Z-transform technique, the LN-FDTD or TP-LN-FDTD method can easily and accurately analyze arbitrary linear lumped networks.…”

Section: Introductionmentioning

confidence: 99%

FDTD Modeling of Arbitrary Linear Lumped Networks Using Piecewise Linear Recursive Convolution Technique

Chen¹,

Chu²

2007

PIER

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Abstract-Based on the piecewise linear recursive convolution (PLRC) technique, FDTD modeling of Arbitrary linear lumped networks is studied in this paper, including one-port networks and two-port networks. Their general FDTD iterative formulations are obtained. Firstly, the admittance parameters in Laplace domain of lumped network are written as a summation form of several rational fractions; then the time domain admittance parameters can be obtained by means of inverse Fourier transform technique. Finally the time domain results are directly incorporated into the MaxwellAmpere's difference equation using the PLRC technique. It is worth pointing out that this approach preserves the second-order accuracy and the explicit nature of the conventional FDTD method. The proposed technique can be extended to model arbitrary linear multiport lumped networks. To show the validity of the proposed algorithm, we analyze two microstrip circuits including lumped networks. The results are compared with those obtained from the Z-transform technique and the good agreement is achieved. 328Chen and Chu

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An extension of the lumped-network FDTD method to linear two-port lumped circuits

Cited by 37 publications

References 19 publications

An Efficient Scheme for Processing Arbitrary Lumped Multiport Devices in the Finite-Difference Time-Domain Method

An Efficient Scheme for Processing Arbitrary Lumped Multiport Devices in the Finite-Difference Time-Domain Method

The Adi-FDTD Method Including Lumped Networks Using Piecewise Linear Recursive Convolution Technique

FDTD Modeling of Arbitrary Linear Lumped Networks Using Piecewise Linear Recursive Convolution Technique

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