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<p>When using multiple microwave source arrays to heat materials, coordinating the feed power of each microwave source to improve the heating efficiency and temperature uniformity has been the focus of related research. This paper presents a coordinated control strategy based on gradient descent for variable power heating in a multiple microwave source game. First, the game consensus strategy is used to coordinate the input power of each microwave source, and the reflection coefficient <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10973_2025_14330_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="38" /> </InlineMediaObject> <EquationSource Format="TEX">\(\left| S_{11}\right|\)</EquationSource> <EquationSource Format="MATHML"><math> <mfenced close="|" open="|"> <msub> <mi>S</mi> <mn>11</mn> </msub> </mfenced> </math></EquationSource> </InlineEquation> is introduced to construct the game cost function. Second, to improve the heating uniformity, the gradient descent algorithm is used to obtain the heating time of each microwave source, to optimize the distribution of the electric field. Finally, the finite element method is used to construct a numerical calculation model, and verify the effectiveness of the coordinated control strategy. The numerical simulation results show that the proposed game variable power coordinated control strategy based on the gradient descent method can further improve the temperature distribution uniformity on the basis of improving the heating efficiency. With a heating efficiency increase of 10.7%, uniformity increased by 41.5–73.8%. The proposed coordinated control strategy can improve the heating efficiency and uniformity of the temperature distribution.</p>

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Optimization of variable power heating efficiency and temperature uniformity for multi-source microwave gaming based on gradient descent algorithm

  • 期刊论文

  • 发表日期：

    2025年5月27日

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  • Biao Yang,
  • Xiucai Chen,
  • Cheng Cheng,
  • Zemin Han,
  • Yang Chen,
  • Haoran Zhang

摘要

When using multiple microwave source arrays to heat materials, coordinating the feed power of each microwave source to improve the heating efficiency and temperature uniformity has been the focus of related research. This paper presents a coordinated control strategy based on gradient descent for variable power heating in a multiple microwave source game. First, the game consensus strategy is used to coordinate the input power of each microwave source, and the reflection coefficient \(\left| S_{11}\right|\) S 11 is introduced to construct the game cost function. Second, to improve the heating uniformity, the gradient descent algorithm is used to obtain the heating time of each microwave source, to optimize the distribution of the electric field. Finally, the finite element method is used to construct a numerical calculation model, and verify the effectiveness of the coordinated control strategy. The numerical simulation results show that the proposed game variable power coordinated control strategy based on the gradient descent method can further improve the temperature distribution uniformity on the basis of improving the heating efficiency. With a heating efficiency increase of 10.7%, uniformity increased by 41.5–73.8%. The proposed coordinated control strategy can improve the heating efficiency and uniformity of the temperature distribution.