Generation of reduced analog circuit models using transient simulation traces

The generation of fast models for device level circuit descriptions is a very active area of research. Model order reduction is an attractive technique for dynamical models size reduction. In this paper, we propose an approach based on clustering, curve-fitting, linearization and Krylov space projection to build reduced models for nonlinear analog circuits. We demonstrate our model order reduction method for three nonlinear circuits: a voltage controlled oscillator, an operational amplifier and a digital frequency divider. Our experimental results show that the reduced models lead to an improvement in simulation speed while guaranteeing the representation of the behavior of the original circuit design.

[1]  Ishak Aris,et al.  Using curve-fitting optimisation technique to estimate power MOSFET model parameters for PECT II system , 1998, ICSE'98. 1998 IEEE International Conference on Semiconductor Electronics. Proceedings (Cat. No.98EX187).

[2]  Ashwani Kumar,et al.  Neural Network based Fault Diagnosis in Analog Electronic Circuit using Polynomial Curve Fitting , 2013 .

[3]  Chenjie Gu,et al.  Model Order Reduction of Nonlinear Dynamical Systems , 2011 .

[4]  Athanasios C. Antoulas,et al.  Approximation of Large-Scale Dynamical Systems (Advances in Design and Control) (Advances in Design and Control) , 2005 .

[5]  Athanasios C. Antoulas,et al.  Approximation of Large-Scale Dynamical Systems , 2005, Advances in Design and Control.

[6]  J. Miller Numerical Analysis , 1966, Nature.

[7]  陈崇源,et al.  使用《Basic circuit Theory》进行教学的初步体会 , 1980 .

[8]  Ning Dong,et al.  General-Purpose Nonlinear Model-Order Reduction Using Piecewise-Polynomial Representations , 2008, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.

[9]  Ming Ying Kuo,et al.  Modeling of capacitors and nonlinear inductors using piecewise curve fitting technique , 1994, Proceedings of 1994 IEEE Workshop on Computers in Power Electronics.

[10]  Jacob K. White,et al.  A trajectory piecewise-linear approach to model order reduction and fast simulation of nonlinear circuits and micromachined devices , 2001, IEEE/ACM International Conference on Computer Aided Design. ICCAD 2001. IEEE/ACM Digest of Technical Papers (Cat. No.01CH37281).

[11]  H. V. D. Vorst,et al.  Model Order Reduction: Theory, Research Aspects and Applications , 2008 .

[12]  Yong Chen Model order reduction for nonlinear systems , 1999 .

[13]  Sofiène Tahar,et al.  Towards improving simulation of analog circuits using model order reduction , 2012, 2012 Design, Automation & Test in Europe Conference & Exhibition (DATE).

[14]  J. Douglas Faires,et al.  Numerical Analysis , 1981 .