This study presents the behavioral model of thermal temperature and power generation of a thermoelectric-solar hybrid energy\nsystem exposed to dynamic transient sources. In the development of thermoelectric-solar hybrid energy system, studies have\nfocused on the regulation of both systems separately. In practice, a separate control system affects hardware pricing. In this study,\nan inverse dynamic analysis shaping technique based on exponential function is applied to a solar array (SA) to stabilize output\nvoltage before this technique is combined with a thermoelectric module (TEM). This method can be used to estimate themaximum\npower point of the hybrid system by initially shaping the input voltage of SA. The behavior of the overall system can be estimated by\ncontrolling the behavior of SA, such that SA can follow the output voltage of TEMas the time constant of TEMis greater than that\nof SA.Moreover, by employing a continuous and differentiable function, the acquired output behavior of the hybrid system can be\nattained. Data showing the model is obtained from current experiments with predicted values of temperature, internal resistance,\nand current attributes of TEM. The simulation results show that the proposed input shaper can be used to trigger the output voltage\nof SA to follow the TEM behavior under transient conditions.
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