## 留言板 Simulation and verification of 3D temperature model for high power microwave heating

 引用本文: 吴昊, 李少甫, 王威, 等. 高功率微波加热三维温度模型仿真与验证[J]. 强激光与粒子束. Wu Hao, Li Shaofu, Wang Wei, et al. Simulation and verification of 3D temperature model for high power microwave heating[J]. High Power Laser and Particle Beams. doi: 10.11884/HPLPB202335.230281
 Citation: Wu Hao, Li Shaofu, Wang Wei, et al. Simulation and verification of 3D temperature model for high power microwave heating[J]. High Power Laser and Particle Beams. • 中图分类号: Tk121

## Simulation and verification of 3D temperature model for high power microwave heating

Funds: supported by the National Natural Science Foundation of China (U1830201)
###### Corresponding author:Li Shaofu, shaohu.li@qq.com。
• 摘要: 微波加热不均匀性一直以来都是从事微波加热控制方向研究人员心目中的热点问题。根据微波加热装置的物理结构建立了炉内各层表面的温度静态差分模型结合实验以求得微波加热的实际功率。再基于传热学的有限差分法建立三维空间中的温度分布模型，利用MATLAB以及COMSOL仿真对比验证了模型的有效性。假定微波均匀加热求得被加热介质的平衡温度与不均匀加热时的温度进行比对以找出微波加热过程中介质的部分温升平衡点，最后互相比对找出最优点为控制对象进行专家PID（proportion-integral-derivative）微波加热。实验结果表明，该方法能较为精确地测量出被加热介质任何时刻的平衡温度，使得微波加热在工业生产上有着更加广泛的应用。
• Figure  1.  Microwave resonator diagram

Figure  2.  Schematic diagram of heat loss

Figure  3.  Temperature error analysis chart of 5.4 kg water

Figure  4.  Partition diagram of different materials

Figure  5.  1/2 Full scale model

Figure  6.  Temperature distribution at 465 s

Figure  7.  COMSOL simulation of electric field distribution in water medium

Figure  8.  Temperature comparison in r and z direction

Figure  9.  Temperature distribution diagram of each point of microwave uniform heating and uneven heating

Figure  10.  Block diagram of microwave heating control system

Figure  11.  Temperature change trend at each point

Figure  12.  Temperature change trend of each point under expert PID control

Table  1.   Material parameter values of each layer

 material $\rho /\left( {kg/{m^3}} \right)$ $c/\left(J/\left(kg\cdot {{\text{℃}}}\right)\right)$ $\lambda /\left(W/\left(m\cdot {{\text{℃}}}\right)\right)$ W 1000 4200 0.59 G 2600 390 2 A 1.18 1005 0.028 B 7930 1260 16.2

Table  2.   Empirical rule table of incremental expert PID control

 no if then 1 u＞1.00 all five magnetrons run 2 1.00≥u＞0.75 four magnetrons run randomly 3 0.75≥u＞0.50 three magnetrons run randomly 4 0.50≥u＞0.25 two magnetrons run randomly 5 0.25≥u＞0.00 one magnetron run randomly 6 u≤0.00 all magnetrons stop running
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##### 出版历程
• 收稿日期:  2023-08-22
• 修回日期:  2023-10-09
• 录用日期:  2023-10-09
• 网络出版日期:  2023-10-28

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