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为便于生产控制以制得预定分子量的产物，根据直接酯化法合成聚对苯二甲酯乙二酯（ＰＥＴ）共聚酯的特点，综合考虑各种主、副反应，从统计观点出发，对三组分ＰＥＴ共聚酯体系的齐聚物和缩聚物，分别建立了其数均聚合度Ｘｎ和数均分子量Ｍｎ的简化和非简化计算方程．将简化Ｘｎ方程与Ｃａｒｏｔｈｅｒｓ方程进行计算比较，其结果完全相同；将简化Ｘｎ方程应用于二组分聚酯体系，其形式与传统的二组分线型缩聚物Ｘｎ方程形式相同，各Ｘｎ和Ｍｎ方程可推广应用于二组分聚酯体系和三组分以上的多组分共聚酯体系．
In order to facilitate the production control to obtain a predetermined molecular weight of the product, according to the characteristics of the direct esterification synthesis of polyethylene terephthalate (PET) copolyester, considering various primary and secondary reactions, from a statistical point of view, For the oligomers and polycondensates of the three-component PET copolyester system, the simplified and non-simplified equations of the number-average polymerization degree Xn and the number-average molecular weight Mn were established respectively. The simplified Xn equation is compared with the Carothers equation. The results are the same. The simplified Xn equation is applied to the two-component polyester system in the same form as the traditional two-component linear polycondensate Xn equation. The Xn and Mn The equation can be extended to two component polyester systems and three component or more multicomponent copolyester systems.