...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Journal of Dynamic Systems, Measurement, and Control >A Lumped-Parameter Modeling Methodology for One-Dimensional Hyperbolic Partial Differential Equations Describing Nonlinear Wave Propagation in Fluids
【24h】

A Lumped-Parameter Modeling Methodology for One-Dimensional Hyperbolic Partial Differential Equations Describing Nonlinear Wave Propagation in Fluids

机译：一维双曲型偏微分方程描述流体中非线性传播的集总参数建模方法

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Modeling the transient response of compressible fluid systems using dynamic systems theory is relevant to various engineering fields, such as gas pipelines, compressors, or internal combustion engines. Many applications, for instance, real-time simulation tools, system optimization, estimation and control would greatly benefit from the availability of predictive models with high fidelity and low calibration requirements. This paper presents a novel approach for the solution of the nonlinear partial differential equations (PDEs) describing unsteady flows in compressible fluid systems. A systematic methodology is developed to operate model-order reduction of distributed-parameter systems described by hyperbolic PDEs. The result is a low-order dynamic system, in the form of ordinary differential equations (ODEs), which enables one to apply feedback control or observer design techniques. The paper combines an integral representation of the conservation laws with a projection based onto a set of eigenfunctions, which capture and solve the spatially dependent nature of the system separately from its time evolution. The resulting model, being directly derived from the conservation laws, leads to high prediction accuracy and virtually no calibration requirements. The methodology is demonstrated in this paper with reference to classic linear and nonlinear problems for compressible fluids, and validated against analytical solutions.
机译：使用动态系统理论对可压缩流体系统的瞬态响应进行建模与各种工程领域有关，例如天然气管道，压缩机或内燃机。实时仿真工具，系统优化，估计和控制等许多应用将极大地受益于具有高保真度和低校准要求的预测模型。本文提出了一种解决非线性偏微分方程（PDE）的新方法，该方程描述了可压缩流体系统中的非定常流动。开发了一种系统的方法来操作由双曲线PDE描述的分布参数系统的模型阶数缩减。结果是一个以常微分方程（ODE）形式的低阶动态系统，使人们可以应用反馈控制或观察者设计技术。本文将守恒律的完整表示与基于一组本征函数的投影相结合，这些本征函数与系统的时间演化分开捕获并解决了系统的空间依赖性。直接从守恒定律得到的结果模型导致较高的预测精度，并且几乎没有校准要求。本文针对可压缩流体的经典线性和非线性问题论证了该方法，并针对分析解决方案进行了验证。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号