Finding All DC Operating Points Using Interval Arithmetic Based Verification Algorithms

Akhter, Itrat A.; Reiher, Justin; Greenstreet, Mark R.

doi:10.23919/date.2019.8714966

Cited by 2 publications

(4 citation statements)

References 29 publications

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“…Robust and efficient determination of solutions to systems of nonlinear equations is a challenging problem from a theoretical and practical point of view. Calculating DC solutions is one of the most critical tasks when analyzing electronic circuits [1][2][3][4][5][6][7][8][9]. The Newton-Raphson method and its variants are used in standard simulators to compute solutions to the equations describing the analyzed circuits.…”

Section: Multiple Solutions In the Analysis And Diagnosis Of Electron...mentioning

confidence: 99%

“…For reliable results, it is necessary to analyze the original nonlinear circuits. Interval methods and approaches based on the idea of successive contraction, division, and elimination of certain hyper-rectangular regions where solutions are sought can be applied here [1,3,6]. The complexity of the numerical procedures and the time-consuming aspect make the problem of finding all solutions for a large-scale circuit still unsolved.…”

Section: Multiple Solutions In the Analysis And Diagnosis Of Electron...mentioning

confidence: 99%

“…Solutions D-NRM (1) S-NRM ( (1) -percentage of iteration processes (per 1000 initial guess draws) leading to the solution; (2) -no solution found.…”

Section: Casementioning

confidence: 99%

“…In the meantime, many papers have highlighted potential problems in the simulation and operation of nonlinear circuits. Researchers have focused particular attention on the issue of multiple solutions and chaos [1][2][3][4][5][6][7][8][9]. Simultaneously, research was performed on the automation of testing different classes of circuits .…”

Section: Introductionmentioning

confidence: 99%

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Diagnosis of Analog Circuits: The Problem of Ambiguity of Test Equation Solutions

Hałgas

2024

Electronics

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Diagnosis of analog electronic circuits is a crucial issue in computer-aided design. During the diagnosis, solving a test equation to identify the values of faulty parameters is usually necessary. The equation is nonlinear to the parameters, even for linear circuits. The nonlinearity of the equation implies the possibility of multiple solutions. No method exists that guarantees the determination of all the solutions of the test equation. However, even information about more than one existing solution is essential for the designer. It allows for the selection of another test at the design step and helps to obtain an unambiguous solution during the diagnosis. Information about the possibility of additional solutions is essential for simulation after test methods (e.g., identification and verification methods) and for simulation before test methods, so-called dictionary methods, especially those targeting multiple fault classification. The paper deals with the problem of multiple solutions of the test equation for nonlinear DC circuits and proposes a method for identifying the solutions using a deflation technique. The outcomes are compared with the results obtained using standard and adaptively damped Newton–Raphson iterative methods. The methods use randomly selected initial guesses to find multiple solutions. The effectiveness of all the methods for identifying multiple solutions was verified numerically and via laboratory tests.

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Section: Multiple Solutions In the Analysis And Diagnosis Of Electron...mentioning

confidence: 99%

Section: Multiple Solutions In the Analysis And Diagnosis Of Electron...mentioning

confidence: 99%

“…Solutions D-NRM (1) S-NRM ( (1) -percentage of iteration processes (per 1000 initial guess draws) leading to the solution; (2) -no solution found.…”

Section: Casementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Diagnosis of Analog Circuits: The Problem of Ambiguity of Test Equation Solutions

Hałgas

2024

Electronics

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A SPICE-Oriented Method for Finding Multiple DC Solutions in Nonlinear Circuits

Hałgas

2023

Applied Sciences

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Finding multiple operating points of nonlinear circuits is a fundamental issue in electronic circuit analysis and design. Methods that guarantee finding all DC solutions are very time-consuming and can be used to analyze only rather small-sized circuits. On the other hand, there exist approaches that can find multiple operating points, but they do not guarantee finding all solutions. The methods are less time-consuming, do not require much computing power, and allow for analyzing more complex circuits. This paper proposes an efficient method for determining multiple and, in most cases, all DC solutions. The approach uses a deflation technique, and the SPICE simulator is applied to the calculations. For this purpose, the original nonlinear circuit during the computational process was modified appropriately after successive solutions were determined. The method was verified on benchmark nonlinear circuits from the literature, made in various technologies and using various models. The results of the DC analysis of several circuits are provided.

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Finding All DC Operating Points Using Interval Arithmetic Based Verification Algorithms

Cited by 2 publications

References 29 publications

Diagnosis of Analog Circuits: The Problem of Ambiguity of Test Equation Solutions

Diagnosis of Analog Circuits: The Problem of Ambiguity of Test Equation Solutions

A SPICE-Oriented Method for Finding Multiple DC Solutions in Nonlinear Circuits

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