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以某厂一台数控双主轴车床为研究对象，根据齐次坐标转换原理，给出了该机床的几何误差和热误差的综合数学模型．对于不同的热误差因子，给出了不同的热误差数学模型，通过计算机分析合成误差曲线的斜率，分离了热误差和几何误差．补偿系统主要由微机结合机床控制器构成．由机床的温度信号和工作台运动位置信号结合综合误差数学模型，通过微机算出补偿值并送入机床控制器对刀架进行附加进给运动完成实时补偿．补偿试验表明，工件之间的尺寸变化可从原来的６０μｍ以上降到１４μｍ；工件的锥度变化从５０μｍ／ｃｍ以上降到１５μｍ／ｃｍ，大幅度提高了机床的加工精度，满足了工厂的实际生产需要．
Taking a CNC double-spindle lathe of a factory as the research object, a comprehensive mathematical model of geometric error and thermal error of the machine tool is given according to the principle of homogeneous coordinate transformation. For different thermal error factors, different mathematical models of thermal error are given. By analyzing the slope of the synthetic error curve by computer, the thermal and geometric errors are separated. The compensation system is mainly composed of computer and machine controller. The temperature signal of the machine tool and the signal of the position of the workbench are integrated with the mathematical model of the integrated error, and the compensation value is calculated by the computer and fed into the machine tool controller to perform additional feed movement on the tool post to complete the real-time compensation. Compensation tests show that the dimensional changes between the workpiece can be reduced from the original 60μm to 14μm; workpiece taper changes from 50μm / cm or more to 15μm / cm, a substantial increase in the machining accuracy of the machine to meet the actual production plant need.