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A Fast Numerical Algorithm for Calculating the Given Zero-Level Instability of DC Amplifiers
A fast numerical algorithm for calculating the given instability of the zero level of DC amplifiers is considered. Traditional methods for calculating the instability of nonlinear electronic circuits require repeated calculations of the stationary mode of the simulated nonlinear circuit, followed by...
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Published in: | Mathematical models and computer simulations 2021-11, Vol.13 (6), p.955-963 |
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container_title | Mathematical models and computer simulations |
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creator | Gridin, V. N. Anisimov, V. I. |
description | A fast numerical algorithm for calculating the given instability of the zero level of DC amplifiers is considered. Traditional methods for calculating the instability of nonlinear electronic circuits require repeated calculations of the stationary mode of the simulated nonlinear circuit, followed by the calculation of the sensitivity of the values of the coordinates of the operating points to variations in the parameters of the components. In contrast to them, the method proposed in this article is based on performing a single linearization of the nonlinear characteristics of the components only at the initial stage of solving the problem. At the subsequent stages of solving the problem, the linearized representation of the components is used to calculate the given instability under the influence of external influences and the technological spread of parameters during the serial production of the developed circuit. |
doi_str_mv | 10.1134/S2070048221060077 |
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N. ; Anisimov, V. I.</creator><creatorcontrib>Gridin, V. N. ; Anisimov, V. I.</creatorcontrib><description>A fast numerical algorithm for calculating the given instability of the zero level of DC amplifiers is considered. Traditional methods for calculating the instability of nonlinear electronic circuits require repeated calculations of the stationary mode of the simulated nonlinear circuit, followed by the calculation of the sensitivity of the values of the coordinates of the operating points to variations in the parameters of the components. In contrast to them, the method proposed in this article is based on performing a single linearization of the nonlinear characteristics of the components only at the initial stage of solving the problem. At the subsequent stages of solving the problem, the linearized representation of the components is used to calculate the given instability under the influence of external influences and the technological spread of parameters during the serial production of the developed circuit.</description><identifier>ISSN: 2070-0482</identifier><identifier>EISSN: 2070-0490</identifier><identifier>DOI: 10.1134/S2070048221060077</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Algorithms ; Amplifiers ; Circuits ; Electronic circuits ; Linearization ; Mathematical Modeling and Industrial Mathematics ; Mathematics ; Mathematics and Statistics ; Numerical analysis ; Parameters ; Simulation and Modeling ; Stability</subject><ispartof>Mathematical models and computer simulations, 2021-11, Vol.13 (6), p.955-963</ispartof><rights>Pleiades Publishing, Ltd. 2021. 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I.</creatorcontrib><title>A Fast Numerical Algorithm for Calculating the Given Zero-Level Instability of DC Amplifiers</title><title>Mathematical models and computer simulations</title><addtitle>Math Models Comput Simul</addtitle><description>A fast numerical algorithm for calculating the given instability of the zero level of DC amplifiers is considered. Traditional methods for calculating the instability of nonlinear electronic circuits require repeated calculations of the stationary mode of the simulated nonlinear circuit, followed by the calculation of the sensitivity of the values of the coordinates of the operating points to variations in the parameters of the components. In contrast to them, the method proposed in this article is based on performing a single linearization of the nonlinear characteristics of the components only at the initial stage of solving the problem. At the subsequent stages of solving the problem, the linearized representation of the components is used to calculate the given instability under the influence of external influences and the technological spread of parameters during the serial production of the developed circuit.</description><subject>Algorithms</subject><subject>Amplifiers</subject><subject>Circuits</subject><subject>Electronic circuits</subject><subject>Linearization</subject><subject>Mathematical Modeling and Industrial Mathematics</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Numerical analysis</subject><subject>Parameters</subject><subject>Simulation and Modeling</subject><subject>Stability</subject><issn>2070-0482</issn><issn>2070-0490</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp1UN9LwzAQDqLgmPsDfAv4XL2kadM-lunmYOiD-iJCSbPLlpG2M2kH--_tmOiDeC933H0_jo-Qawa3jMXi7oWDBBAZ5wxSACnPyOi4ikDkcP4zZ_ySTELYwlAxl1mcjchHQWcqdPSpr9FbrRwt3Lr1ttvU1LSeTpXTvVOdbda02yCd2z029B19Gy1xj44umtCpyjrbHWhr6P2UFvXOWWPRhytyYZQLOPnuY_I2e3idPkbL5_liWiwjzbJYRilyI1PUYAzjkFRC5BoqllVJWmkcPtWS5TmuckzNajirWAumRJJCJqTRMh6Tm5PuzrefPYau3La9bwbLkqcsYQISeUSxE0r7NgSPptx5Wyt_KBmUxxzLPzkOHH7ihAHbrNH_Kv9P-gJqoHK4</recordid><startdate>20211101</startdate><enddate>20211101</enddate><creator>Gridin, V. N.</creator><creator>Anisimov, V. I.</creator><general>Pleiades Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20211101</creationdate><title>A Fast Numerical Algorithm for Calculating the Given Zero-Level Instability of DC Amplifiers</title><author>Gridin, V. N. ; Anisimov, V. I.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c1837-6e2f76ec0ff1205b449c0b18b56bce327c7199ed9e6fd5b4a3c41a4560847fc73</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Algorithms</topic><topic>Amplifiers</topic><topic>Circuits</topic><topic>Electronic circuits</topic><topic>Linearization</topic><topic>Mathematical Modeling and Industrial Mathematics</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Numerical analysis</topic><topic>Parameters</topic><topic>Simulation and Modeling</topic><topic>Stability</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Gridin, V. N.</creatorcontrib><creatorcontrib>Anisimov, V. 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Traditional methods for calculating the instability of nonlinear electronic circuits require repeated calculations of the stationary mode of the simulated nonlinear circuit, followed by the calculation of the sensitivity of the values of the coordinates of the operating points to variations in the parameters of the components. In contrast to them, the method proposed in this article is based on performing a single linearization of the nonlinear characteristics of the components only at the initial stage of solving the problem. At the subsequent stages of solving the problem, the linearized representation of the components is used to calculate the given instability under the influence of external influences and the technological spread of parameters during the serial production of the developed circuit.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S2070048221060077</doi><tpages>9</tpages></addata></record> |
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subjects | Algorithms Amplifiers Circuits Electronic circuits Linearization Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Numerical analysis Parameters Simulation and Modeling Stability |
title | A Fast Numerical Algorithm for Calculating the Given Zero-Level Instability of DC Amplifiers |
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