Linear and Nonlinear Model Order Reduction for Numerical Simulation of Electric Circuits

Mohaghegh, Kasra

ISBN 10: 3832527117 / ISBN 13: 9783832527112

Published by Logos Verlag Berlin, 2010

About this Item

Seller Inventory # 367901

Bibliographic Details

• Title: Linear and Nonlinear Model Order Reduction for Numerical Simulation of Electric Circuits
• Publisher: Logos Verlag Berlin
• Publication Date: 2010
• Language: English
• ISBN 10: 3832527117
• ISBN 13: 9783832527112
• Binding: paperback
• Edition: 1st.
• Condition: New
• Weight: 6 ounces

About this title

Synopsis

Increasing complexity combined with decreasing geometrical sizes in electric circuit design lead to high dimensional dynamical models to be considered by EDA tools. Model order reduction (MOR) has become a popular strategy to decrease the problem's size while preserving its crucial properties. MOR shall achieve accurate statements on a circuit's behavior within an affordable amount of computational time. Just recently, MOR techniques are designed to consider the differential algebraic nature of the underlying models. We present an approach based on an e-embedding, i.e., a strategy applied in the construction of numerical integration schemes for differential algebraic equations (DAEs). The system of DAEs is transformed into an artificial system of ordinary differential equations (ODEs), since MOR schemes for ODEs can be applied now. We construct, analyze and test different strategies with respect to the usage of the parameter e that transforms the DAEs into ODEs. Moreover, accurate mathematical models for MOS-devices introduce highly nonlinear equations. As the packing density of devices is growing in circuit design, huge nonlinear systems appear in practice. It follows an increasing demand for reduced order modeling of nonlinear problems. In the thesis, we also review the status of existing techniques for nonlinear MOR by investigating the performance of the schemes applied in circuit simulation.