两种蒸汽压缩循环模型的分析与定性可观测性

Ricus Husmann, H. Aschemann
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引用次数: 1

摘要

本文从可观测度的不同度量出发,分析了一个面向物理的蒸汽压缩循环模型。高维非线性模型采用压力和焓作为状态变量,并包含两个控制输入。在两个输入变量的网格上确定一组平衡点,并执行相应的泰勒线性化。在分析了特征值的位置后,采用两种方法研究了可观测性性质:第一种方法是基于可观测性格兰量,第二种方法是基于平稳卡尔曼滤波器。gramian的分析提供了对状态和单个测量输出的相互联系的更深入的了解,而Kalman滤波器则表明与方差相关的可实现的估计质量。此外,还详细讨论了包含与整体质量守恒相关的等式约束及其对可观测性的影响的直接方法。
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Analysis and Qualitative Observability of Two Vapor Compression Cycle Models
In this paper, a physically-oriented vapor compression cycle model is analyzed regarding different measures of the degree of observability. The high-dimensional nonlinear model employs pressures and enthalpies as state variables and involves two control inputs. A set of equilibrium points is determined over a grid of both input variables, and corresponding Taylor linearizations are performed. After an analysis of the eigenvalue locations, the observability properties are investigated using two alternative approaches: the first is based on the observability Gramians, the second on a stationary Kalman Filter. The analysis of the Gramians provides a deeper insight into the interconnections of states and individual measured outputs, whereas the Kalman Filter indicates the achievable estimation quality which is related to the variances. Moreover, a direct way to include equality constraints related to the overall mass conservation and its impact on the observability is discussed in detail.
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