An efficient algorithm for finding multiple DC solutions based on Spice oriented Newton homotopy method

Ushida, Akio; Yamagami, Yoshihiro; Kinouchi, I.; Nishio, Yoshifumi; Inoue, Y.

doi:10.1109/iscas.2001.922081

Cited by 16 publications

(12 citation statements)

References 16 publications

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“…Even we combine the sine-cosine circuit and the Fourier transformation circuit, we cannot obtain unstable region of the frequency curve, because we set the frequency as time in Spice to solve the sine-cosine circuits. In this section, we explain the Solution Tracing Circuit (STC) (8) (9) realizing the arc-length method (10) (11) .…”

Section: Solution Tracing Circuitmentioning

confidence: 99%

Spice-Oriented Algorithm for Peak Search and Stability Assessment for Frequency Response

et al. 2011

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In this study, we propose a Spice-oriented algorithm for peak search and stability assessment for the frequency response. We obtain the frequency response by using the sine-cosine circuit, Fourier transformation circuit and solution tracing-curve circuit, which have been developed in our previous studies. We combine the idea using a differentiator and a nonlinear limiter with them in order to search the exact peaks and propose a stability assessment algorithm based on the Floquet theory. In our algorithm, we can simulate almost all tasks with Spice.

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Section: Solution Tracing Circuitmentioning

confidence: 99%

Spice-Oriented Algorithm for Peak Search and Stability Assessment for Frequency Response

et al. 2011

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“…The matrix C satisfies the conditions (14) and (15). N is a diagonal matrix having nonpositive diagonal elements (−∂ i ), i = 1, .…”

Section: B Preliminariesmentioning

confidence: 99%

“…Only a few methods have been proposed in this area, e.g. [15]- [23]. The paper [15] offers a simulator to find the multiple DC solutions, based on the Newton homotopy method, employing the transient analysis of SPICE.…”

Section: Introductionmentioning

confidence: 99%

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Some Contraction Methods for Locating and Finding All the DC Operating Points of Diode-Transistor Circuits

Tadeusiewicz¹,

Hałgas²

2010

International Journal of Electronics and Telecommunications

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Some Contraction Methods for Locating and Finding All the DC Operating Points of Diode-Transistor CircuitsThe paper is focused on the analysis of diodetransistor circuits having multiple DC solutions (operating points) and brings two methods enabling us to find all the solutions. The first method contracts and eliminates some hyperrectangular regions where the solutions are sought. It is based on the idea of framing of the nonlinear functions appearing in the mathematical description of the circuit by linear ones and exploits the Woodbury formula in matrix theory. The other method finds quickly and easily preliminary bounds on the location of all the solutions. The method employs some monotonic functions and generates convergent sequences leading to a shrinked hyperrectangle that contains all the solutions. Both the proposed methods are rigorously proved. They constitute the core of an algorithm which efficiently finds all the DC operating points of diode-transistor circuits. It is illustrated via numerical examples.

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“…Using the circuit, all kinds of the nonlinear devices such as bipolar transistors and MOSFETs are transformed into the corresponding HB modules. Combining with them, a given circuit is transformed into the equivalent HB circuit in the schematic form or net-list [16], [17], which corresponds to the determining equation of HB method and can be solved by DC analysis of Spice simulator or solution curve tracing method [18], [19]. Thus, our HB method can continuously calculate the characteristic curves like as Volterra series method.…”

Section: Introductionmentioning

confidence: 99%

Spice-Oriented Frequency-Domain Analysis of Nonlinear Electronic Circuits

Kawata¹,

Taniguchi²,

Oda³

et al. 2007

IEICE Transactions on Fundamentals of Electronics, Communicatio

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†a) , Yousuke TANIGUCHI † †b) , Masayoshi ODA † †c) , Yoshihiro YAMAGAMI † †d) , Yoshifumi NISHIO † †e) , Members, and Akio USHIDA †f) , Fellow SUMMARY Distortion analysis of nonlinear circuits is very important for designing analog integrated circuits and communication systems. In this letter, we propose an efficient frequency-domain approach for calculating frequency response curves, which is based on HB (harmonic balance) method combining with ABMs (Analog Behavior Models) of Spice. Firstly, nonlinear devices such as bipolar transistors and MOSFETs are transformed into the HB device modules executing the Fourier transformations. Using these modules, the determining equation of the HB method is formed by the equivalent sine-cosine circuit in the schematic form or netlist. It consists of the coupled resistive circuits, so that it can be efficiently solved by the DC analysis of Spice. In our algorithm, we need not to derive any troublesome circuit equations, and any kinds of the transformations.

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An efficient algorithm for finding multiple DC solutions based on Spice oriented Newton homotopy method

Cited by 16 publications

References 16 publications

Spice-Oriented Algorithm for Peak Search and Stability Assessment for Frequency Response

Spice-Oriented Algorithm for Peak Search and Stability Assessment for Frequency Response

Some Contraction Methods for Locating and Finding All the DC Operating Points of Diode-Transistor Circuits

Spice-Oriented Frequency-Domain Analysis of Nonlinear Electronic Circuits

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