Optimal linearization method of nonlinear state equation as an example of model of ion recombination in electrical arc

Piotr Daniel Orzechowski

doi:10.1117/12.674911

26 April 2006 Optimal linearization method of nonlinear state equation as an example of model of ion recombination in electrical arc

Piotr Daniel Orzechowski

Author Affiliations +

Proceedings Volume 6159, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments IV; 61593Y (2006) https://doi.org/10.1117/12.674911
Event: Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments IV, 2005, Wilga, Poland

Abstract

In present paper discussed a optimal linearization method (OLM) for nonlinear systems are described by differential equations. OLM based on substitute the nonlinear model with its linear approximation in such a way that the error mean square of the difference between the nonlinear model and its linear approximation for the whole period of the transitory state is minimal. As an example of practical application of OLM, the linearization of a nonlinear model of ion volume recombination during electric arc is presented.

Citation Download Citation

Piotr Daniel Orzechowski "Optimal linearization method of nonlinear state equation as an example of model of ion recombination in electrical arc", Proc. SPIE 6159, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments IV, 61593Y (26 April 2006); https://doi.org/10.1117/12.674911

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