(北方工业大学 现场总线与自动化重点实验室， 北京 100041)
摘 要: 在复杂的综合数学模型的基础上，利用正交多元回归法研究了预焙电解槽中电流效率与阳极电流分布的关系， 得到一个代数方程式， 同时， 用这个代数方程式分析了阳极电流分布与电流效率的关系。 分析结果表明：阳极电流分布与电流效率都随时间和空间而改变； 阳极电流分布的改变引起电流效率的改变； 在Kuhn Tucker 理论的基础上， 还讨论了系列电流不变时的最佳电流效率， 由于电解槽中磁场、 流场分布不均匀等原因，并非严格均匀的阳极电流分布才能得到最高的电流效率。
关键字: 铝电解; 正交多元回归; 电流效率; 电流分布
（ Field Bus & Automation Key Lab,
North China University of Technology,Beijing 100041, China）
Abstract: On the bases of the comprehensive mathematical model, the relation between current efficiency and anode current distribution in aluminum production was examined through using orthoganal regression design method. An algebraic equation was developed under some reasonable simplification, and based on it, the variation of current efficiency and anode current distribution was analyzed. The results show that both current efficiency and current distribution change with time and position. By use of the Kuhn Tucker theory, the optional current efficiency under given total serial current was discussed. Not strictly smooth anode current distribution results in optional current efficiency because of the uneven physical fields distribution.
Key words: current efficiency; aluminum electrolysis; current distribution; orthogonal regression design
