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利用耗散概念,推导出线圈(电磁体)在加入高导热材料情况下平均传热温差表达式,为应用耗散极值原理优化奠定了理论基础.在此基础上,针对电磁体稳态工作(磁场强度为定值,电磁体内各点均匀产热,发热量为定值)的情况,分别在无体积约束、给定体积约束两种不同条件下,以耗散最小(也即平均传热温差最小)为目标对电磁体进行了构形优化.另外,分析了高导热材料对磁场的影响,并研究了平均传热温差最小值随体积、磁场强度的变化规律.
Using the concept of dissipation, the expression of the average heat transfer temperature difference of the coil (electromagnet) under the condition of adding high thermal conductivity material is deduced, which lays a theoretical foundation for the optimization of the principle of dissipative extremum.On this basis, (Magnetic field strength is fixed value, each point in the electromagnet produces heat uniformly and calorific value is fixed value), under the condition of no-volume constraint and given volume constraint respectively, under the condition of minimum dissipation (ie average heat transfer Temperature difference is the minimum) .In addition, the influence of the high thermal conductivity material on the magnetic field is analyzed and the variation law of the minimum value of the average heat transfer temperature with the volume and the magnetic field intensity is studied.