基于最大熵原理的恒温槽波动的概率分布研究

Study on Probability Distribution of Constant Temperature Bath Stability Based on the Maximum Entropy Principle

针对恒温槽温度波动概率分布估计不统一的问题，对某型恒温槽进行了技术性能测试。利用最大熵原理对其在-40℃，0℃和40℃三个温度点波动的概率分布进行了拟合。在MATLAB中编制了修正阻尼最小二乘法程序，分别求出了三个温度点波动的概率密度函数。计算结果表明该型恒温槽的温度波动的最大熵概率分布呈对称单峰型，温度波动的取值集中于0℃附近，与正态分布拟合结果相一致。

To resolve the confusion of the constant temperature bath stability probability distribution, tests have been carried out. The maximum entropy principle is used to determine the probability distribution of stability at 0 ℃, 40 ℃ and -40℃. Probability density functions at the three temprature points are derived by the modified damp least square method implemented in MATLAB. Results indicate that the distribution of stabality is symmetric single-peak type, values concentrating on the area of 0 ~C, which is consistent with the results of normal distribution fitting.