Multi-objective optimization of the operating conditions in a cutting process based on low carbon emission costs

Carbon tax policy has become an effective way of governing carbon emissions in many countries. So carbon emissions incur additional costs to the manufacturer and thus have an impact on profits. The selection of cutting parameters affects machining efficiency and carbon emissions in the manufacturing process. And it further affects carbon emission costs and product machining costs. The aim of the work is to develop a numerical model and method to optimize cutting parameters and minimize carbon emission costs in response of carbon tax policy. First, the relationship among energy consuming, working hour and cutting parameters in a cutting process is analyzed. Then the multi-objective optimization model of cutting parameters for high-efficiency and low-carbon manufacturing is presented, which takes cutting speed and feed rate as optimization variables, carbon emission and working hour as optimization objectives. Non-dominated sorting genetic algorithm NSGA-II is adopted to obtain the Pareto solution set of cutting parameters. An approach based on carbon emission costs is presented to evaluate and select Pareto optimal solutions. Finally, a case is given to illustrate the proposed model and method. Based on the case analysis, the influences of different depths of cut, common materials of cutting tools and workpiece on optimal cutting parameters and carbon emissions are explored. The analysis results show the influence of cutting speed on carbon emissions and processing time is greater than that of feed rate. Given depth of cut, small feed rate and big cutting speed can achieve low-carbon machining. Carbon emissions and processing time are smaller for the carbide tool than high-speed steel tool in turning of 45 carbon steel. The proposed model and method could support manufacturing enterprises selecting optimal cutting parameters to decrease carbon emission costs, and governments making appreciate carbon tax policy to control carbon emissions.

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