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计算墙体反应系数的模型降阶方法 被引量:1

Model Reduction Method for Calculating Thermal ResponseFactors of MultiLayer Walls
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摘要 反应系数法是空调动态负荷计算的常用方法,但用基于经典控制理论的传统方法求解多层墙体反应系数时可能发生漏根现象.文中基于Routh稳定性理论提出一种模型降阶方法,避免了求根,保留了原模型的渐近稳定性和低频特性,实例计算效果很好. Thermal response factor method was widely used in the calculation of airconditioning cooling loads. The conventional calculating method (Laplace transformation method) of these factors which was based on the classical control theory could lead to rootmissing occasionally. Simplifying a complicated highorder function with model reduction method was one of the effective ways in calculating the response factors of multilayer wall. But sometimes model reduction method might cause the reduced system unstable against the stable original one. In this paper, a new calculating method based on the Routh stability is presented. With Routh method, the infiniteorder s transfer function of multilayer wall can be reduced into a finiteorder one. Thus, the thermal response factors can be calculated from this model and the relationship between the transfer function and the space state method. Using this approach, the thermal response factors can be obtained without finding the roots while the asymptotic stability and the lowfrequency characteristics of the original model are retained. The practical case shows high accuracy of the results and assurance of stability of the thermal response factors. Further study is needed to reduce the order of the function effectively.
出处 《上海交通大学学报》 EI CAS CSCD 北大核心 1998年第7期14-17,共4页 Journal of Shanghai Jiaotong University
基金 国家自然科学基金
关键词 空调 多层墙体 反应系数 模型降价 airconditioning multilayer wall thermal response factor model reduction
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