摘要:
本文针对热工对象一般阻尼较大的特点,根据由级数展开取得低阶近似公式的原理,得到了统一而又便利的数学简化方法;用在单回路调节系统的模拟和分析中,可以得到相当准确的结果.文中以多容对象、单相换热器和纯时滞环节等典型对象为例,求得了一系列的低阶近似式和图表,并验证了它们的准确性.文中又以锅炉的某一个单相区的各类实际传递函数为例,求出了低阶近似式,论证了复杂环节同样可以低阶简化.文中还讨论了如何由对象的实验飞升曲线求其低阶近似传递函数,指出文献[1]的积分法实质上就是级数展开法,并对其计算程序作了一些改进.
Abstract:
Based on the algebraic method of series expansion, a simple and unified method to obtain the low-order approximate transfer functions for highly damped thermal pro-cess is proposed. The results are sufficiently accurate for the simulation and analy-sis of single-loop control systems. Examples are given for typical processes with lumped parameters, with distance-velocity lag and heat exchangers. Complex processes such as the heating surface of boiler can also be reduced to low-order approximation.The paper also discusses the method of obtaining a low-order approximate transfer function from the experimental time-response curve, and proposes an improved procedure of numerical integration as proposed by M. P. Simoyu.
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