考虑饱和效应的电磁阀半线性分布参数控制方法

Tristan Braun, Florian Straußberger, J. Reuter, Gabi Preissler
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引用次数: 5

摘要

本文提出了一种用于电磁阀控制的半线性抛物型偏微分方程。由于材料的B/ h曲线的饱和效应,使得圆柱的分布参数模型变得非线性。给出了半线性偏微分方程的平面解及其级数解的收敛性证明。数值模拟结果表明了该方法的适应性,并讨论了线性和非线性情况下的区别。本文的主要贡献是将饱和效应纳入控制线性扩散方程的磁场中,并作为先前工作[1]和[2]的扩展,开发了基于平面度的半线性偏微分方程解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A semilinear distributed parameter approach for solenoid valve control including saturation effects
In this paper a semilinear parabolic PDE for the control of solenoid valves is presented. The distributed parameter model of the cylinder becomes nonlinear by the inclusion of saturation effects due to the material's B/H-curve. A flatness based solution of the semilinear PDE is shown as well as a convergence proof of its series solution. By numerical simulation results the adaptability of the approach is demonstrated, and differences between the linear and the nonlinear case are discussed. The major contribution of this paper is the inclusion of saturation effects into the magnetic field governing linear diffusion equation, and the development of a flatness based solution for the resulting semilinear PDE as an extension of previous works [1] and [2].
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