An efficient homotopy method that can be easily implemented on SPICE

Yamamura, Kenichiro; Kuroki, Wataru

doi:10.1109/iscas.2006.1693883

Cited by 5 publications

(5 citation statements)

References 5 publications

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“…Actually, it is often difficult to solve (5) by the NR method because the characteristics of macromodels are generally complicated. In that case, the SPICE-oriented homotopy method is very effective [5], [6], [10]. In the SPICEoriented homotopy method, we perform the transient analysis of SPICE to the combination of the homotopy circuit,1 the circuit shown in Figs.…”

Section: Parametric Representation Of Pwl Resistorsmentioning

confidence: 99%

“…7. For details, see [10]. The homotopy method is espacially effective when we want to obtain multiple solutions.…”

Section: Parametric Representation Of Pwl Resistorsmentioning

confidence: 99%

“…3(b); for details, see [10]. Example 1: We first consider the circuit containing one macromodel and ten transistors as shown in Fig.…”

Section: Parametric Representation Of Pwl Resistorsmentioning

confidence: 99%

“…10 and 12 consist of almost linear parts and sharply bending parts. Since SPICE includes efficient time-step control algorithms, it can trace such solution curves very efficiently [5], [6].…”

Section: Parametric Representation Of Pwl Resistorsmentioning

confidence: 99%

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A SPICE-Oriented Method for Finding DC Operating Points of Nonlinear Circuits Containing Piecewise-Linear Macromodels

Yamamura

Lai

Kuroki

2006

2006 International Conference on Communications, Circuits and Systems

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Recently, efficient algorithms have been proposed for finding all characteristic curves of one-port piecewise-linear (PWL) resistive circuits. Using these algorithms, a middle scale one-port circuit can be represented by a PWL resistor that is neither voltage nor current controlled. By modeling often used one-port subcircuits by such resistors (macromodels), large scale circuits can be analyzed efficiently. In this paper, an efficient method is proposed for finding DC operating points of nonlinear circuits containing such neither voltage nor current controlled resistors using the SPICE-oriented approach. The proposed method can be easily implemented on SPICE without programming.

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Section: Parametric Representation Of Pwl Resistorsmentioning

confidence: 99%

“…7. For details, see [10]. The homotopy method is espacially effective when we want to obtain multiple solutions.…”

Section: Parametric Representation Of Pwl Resistorsmentioning

confidence: 99%

“…3(b); for details, see [10]. Example 1: We first consider the circuit containing one macromodel and ten transistors as shown in Fig.…”

Section: Parametric Representation Of Pwl Resistorsmentioning

confidence: 99%

Section: Parametric Representation Of Pwl Resistorsmentioning

confidence: 99%

See 2 more Smart Citations

A SPICE-Oriented Method for Finding DC Operating Points of Nonlinear Circuits Containing Piecewise-Linear Macromodels

Yamamura

Lai

Kuroki

2006

2006 International Conference on Communications, Circuits and Systems

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“…The continuation method, proposed in [3][4][5][6][7][8][9][10][11], is an effective method to solve nonlinear circuits. The continuation method is based on 3 steps:…”

Section: Introductionmentioning

confidence: 99%

Accelerating the solving of nonlinear equations using the homotopy method: application on finding the operating point of complex circuits

Dhiabi¹,

Boumehraz²

2017

Turk J Elec Eng & Comp Sci

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Analog circuits with nonlinear elements (e.g., diode, BJT, and CMOS) and integrated circuits are very complex systems. As a result, they are very difficult to analyze because of the need to generate a nonlinear equation system solution in order to do so. Solving nonlinear equations is still a challenging problem. Iterative methods, however, are frequently used to solve them. This paper describes a method that can be used to both accelerate the solving of nonlinear equations and find the operating point in various integrated circuits by construction of the global homotopy equation of the analog circuit. This is done by converting the elements in the circuit to their equivalent dependent sources. The proposed method is based on three steps. The first step is the use of the homotopy method to get a continuous function. The second step consists of finding the best direction of the solution by applying prediction and the correction procedures. The third step consists of the control of step size to accelerate the solution search. In order to demonstrate the effectiveness of the proposed method, a new type of software called PyAMS (Python Language for Analog and Mixed Signal) was created by the authors based on the proposed method. A comparison was done between the proposed method and two other methods and, in doing so, many types of integrated circuits were used. Based on the proposed method, an analysis of many universal circuits was carried out to verify the correct function of the circuit.

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A SPICE-Oriented Nonexistence Test for DC Solutions of Nonlinear Circuits

Kuroki

Yamamura

2007

2007 International Conference on Communications, Circuits and Systems

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An efficient homotopy method that can be easily implemented on SPICE

Cited by 5 publications

References 5 publications

A SPICE-Oriented Method for Finding DC Operating Points of Nonlinear Circuits Containing Piecewise-Linear Macromodels

A SPICE-Oriented Method for Finding DC Operating Points of Nonlinear Circuits Containing Piecewise-Linear Macromodels

Accelerating the solving of nonlinear equations using the homotopy method: application on finding the operating point of complex circuits

A SPICE-Oriented Nonexistence Test for DC Solutions of Nonlinear Circuits

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