Investigation of Feedback Controlled Diffusion Systems Using a High-Speed Continuous Electrical Analog

A high-speed, two-dimensional, nonsteady, electrical diffusion analog is discussed with emphasis on applications to heat conduction systems. The accuracy of the device is apparent from transfer function data for a one-dimensional system which compares favorably with analytical predictions. The analog was used to study automatic control aspects of surface temperature regulation. Results are presented in terms of frequency response, transient response, and stability limits. In addition, optimal design parameters are given for temperature control of both one and two-dimensional systems in the presence of random disturbances. To obtain the latter information, the analog was used to simultaneously optimize controller gain and the feedback temperature probe location.