Page - 38 - in Adaptive and Intelligent Temperature Control of Microwave Heating Systems with Multiple Sources

3. ModelingMicrowaveHeating y x z Aluminum/Teflon Tool Heated Load Convection Microwave Heating Radiation Conduction y x z Radiation Microwave heating Conduction Convection Figure 3.1. Sketchof microwaveheatingsetup. distribution is controlled and improved, the inner temperature distri- butioncanbecontrolledandimprovedconsequently. Besides above two assumptions, it also should be noted that the heat conduction effect caused by the tool (in figure 3.1) is not included in themodelingprocess. Inmanycasestheheatconductioneffectcaused by the tool has a significant influence to the final temperature distri- bution of the load. It directly determines the accuracy of the control model (constructedinthischapter),eventhecontrollability[Dor95]of the entire microwave heating system. However, many practical fac- tors have to be taken into account to fully analyze this influence and there is no appropriate way to include it in the control model. Influ- encesof toolsmadeofdifferentmaterialsarecomparedandexplained inchapter 5. 3.1. MathematicalModeling In general, the objective of mathematical modeling is to identify ac- curate and comprehensive mathematical concepts or equations to de- scribe the dynamics of a system. Based on the mathematical model, the future behaviors of a system can be predicted, and different 38