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Real-Time Solution of Unsteady Inverse Heat Conduction Problem Based on Parameter-Adaptive PID with Improved Whale Optimization Algorithm

Author

Listed:
  • Weichao Huang

    (Shannxi Key Laboratory of Complex System Control and Intelligent Information Processing, Xi’an University of Technology, Xi’an 710048, China)

  • Jiahao Li

    (School of Automation and Information Engineering, Xi’an University of Technology, Xi’an 710048, China)

  • Ding Liu

    (School of Automation and Information Engineering, Xi’an University of Technology, Xi’an 710048, China)

Abstract

To solve the problem of the common unsteady inverse heat conduction problem in the industrial field, a real-time solution method of improving the whale optimization algorithm (IWOA) and parameter-adaptive proportional-integral-differential (PID) is proposed in the paper. A feedback control system with IWOA-PID, which can inversely solve the boundary heat flux, is established. The deviation between the calculated temperature and the measured temperature of the measured point obtained by solving the direct heat conduction problem (DHCP) is used as the system input. The heat flux which is iteration-solved by IWOA-PID is used as system output. The method improves the initial solution distribution, global search capability and population diversity generalization of the traditional whale optimization algorithm (WOA), which effectively improves the parameter-adaptive capability of PID. The experimental results show that the solution method of inverse heat transfer proposed in the paper can accurately retrieve the variation of the boundary heat flux in real time and has good resistance and self-adaptability.

Suggested Citation

  • Weichao Huang & Jiahao Li & Ding Liu, 2022. "Real-Time Solution of Unsteady Inverse Heat Conduction Problem Based on Parameter-Adaptive PID with Improved Whale Optimization Algorithm," Energies, MDPI, vol. 16(1), pages 1-14, December.
    • Handle: RePEc:gam:jeners:v:16:y:2022:i:1:p:225-:d:1014541
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