Publication detail

Techniques of matrix exponential function derivative for electrical engineering simulations

BRANČÍK, L.

Original Title

Techniques of matrix exponential function derivative for electrical engineering simulations

English Title

Techniques of matrix exponential function derivative for electrical engineering simulations

Type

conference paper

Language

en

Original Abstract

The paper presents four methods how to determine a derivative of the matrix exponential function in Matlab language. The necessity for such the computation appears at many cases of modelling and simulation problems. In the field of the electrical engineering it can be utilized for the sensitivity analysis of circuits with distributed parameters, like those containing multiconductor transmission lines. The methods based on the matrix exponential function Taylor series expansion, augmented matrix utilization, eigenvalues decomposition and the Padé approximation will be elaborated in this paper. All techniques have been programmed in the Matlab language environment while utilizing some built-in matrix-oriented functions with advantages.

English abstract

The paper presents four methods how to determine a derivative of the matrix exponential function in Matlab language. The necessity for such the computation appears at many cases of modelling and simulation problems. In the field of the electrical engineering it can be utilized for the sensitivity analysis of circuits with distributed parameters, like those containing multiconductor transmission lines. The methods based on the matrix exponential function Taylor series expansion, augmented matrix utilization, eigenvalues decomposition and the Padé approximation will be elaborated in this paper. All techniques have been programmed in the Matlab language environment while utilizing some built-in matrix-oriented functions with advantages.

Keywords

matrix exponential function, derivative, Taylor series expansion, augmented matrix, eigenvalue, eigenvector, Padé approximation, Matlab

RIV year

2006

Released

15.12.2006

Publisher

IEEE IES

Location

Bombay, India

ISBN

978-1-4244-0725-5

Book

IEEE International Conference on Industrial Technology

Pages from

2608

Pages to

2613

Pages count

6

BibTex


@inproceedings{BUT20373,
  author="Lubomír {Brančík}",
  title="Techniques of matrix exponential function derivative for electrical engineering simulations",
  annote="The paper presents four methods how to determine a derivative of the matrix exponential function in Matlab language.  The necessity for such the computation appears at many cases of modelling and simulation problems. In the field of the electrical engineering it can be utilized for the sensitivity analysis of circuits with distributed parameters, like those containing multiconductor transmission lines. The methods based on the matrix exponential function Taylor series expansion, augmented matrix utilization, eigenvalues decomposition and the Padé approximation will be elaborated in this paper. All techniques have been programmed in the Matlab language environment while utilizing some built-in matrix-oriented functions with advantages.",
  address="IEEE IES",
  booktitle="IEEE International Conference on Industrial Technology",
  chapter="20373",
  institution="IEEE IES",
  year="2006",
  month="december",
  pages="2608",
  publisher="IEEE IES",
  type="conference paper"
}