TY - JOUR
T1 - An analytic approach for resource efficient parametric simulation of electronic circuits
AU - Schenk, Mario
AU - Muetze, Annette
AU - Krischan, Klaus
PY - 2020/1/2
Y1 - 2020/1/2
N2 - We propose a resource efficient precision transient circuit simulator approach without time step for solving the systems of differential equations. The method is notably suitable for optimization and worst-case dimensioning of small-scale electronic circuits. A closed-form analytic solution is computed for each of the electronic circuit states. Numerical integration is not required, and therefore, convergence problems are eliminated. An electronic circuit with only linear elements, for example, R, C, L and independent current, and voltage sources (LTI), is described with a system of differential (state) equations. Nonlinear elements, such as L(i), C(u), Diodes, MOSFETs, BJTs and/or PWM controllers are described with piecewise-linear models. Connecting linear and linearized nonlinear elements, results in a linear system of differential equations.
AB - We propose a resource efficient precision transient circuit simulator approach without time step for solving the systems of differential equations. The method is notably suitable for optimization and worst-case dimensioning of small-scale electronic circuits. A closed-form analytic solution is computed for each of the electronic circuit states. Numerical integration is not required, and therefore, convergence problems are eliminated. An electronic circuit with only linear elements, for example, R, C, L and independent current, and voltage sources (LTI), is described with a system of differential (state) equations. Nonlinear elements, such as L(i), C(u), Diodes, MOSFETs, BJTs and/or PWM controllers are described with piecewise-linear models. Connecting linear and linearized nonlinear elements, results in a linear system of differential equations.
KW - Circuit analysis
KW - circuit simulation
KW - computer aided analysis
KW - piecewise linear approximation
KW - time-domain analysis
UR - http://www.scopus.com/inward/record.url?scp=85075721137&partnerID=8YFLogxK
U2 - 10.1080/09398368.2019.1697077
DO - 10.1080/09398368.2019.1697077
M3 - Article
AN - SCOPUS:85075721137
SN - 0939-8368
VL - 30
SP - 33
EP - 47
JO - EPE Journal : European Power Electronics and Drives Journal
JF - EPE Journal : European Power Electronics and Drives Journal
IS - 1
ER -