## 3 Result and Discussion  
To investigate the effects of the two primary parameters (temperature and frequency) on electrical energy harvester using an MFC transducer, a laminated MFC transducer was subjected to a variety of changes in ambient temperature and frequency. The environment that is being considered is analogous to the natural environment that is present all around us and can be found in our immediate surroundings. This contributes to the development of alternative energy resources, as well as a better understanding of them and the ability to leverage them. Piezoelectric fiber composites can improve the performance of a wide range of structures and withstand a wide temperature range, both of which are critical factors in determining thermoelastic behavior. The amount of strain, or extension, experienced by the laminated system is proportional to the electric field properties of the MFC transducer. The strain induced by this work was influenced by both the stress caused by an applied load at a specific frequency and the temperature fluctuation load. Temperature changes cause a strain that remains constant over time and is unaffected by frequency parameters. If the harvester experiences significant displacement or deformation, the generation of the electric field will increase significantly. Equation (24) was used to estimate the average voltage drop in the resistor connected to the MFC transducer terminals, which represents the key parameters of the simple supported energy harvester from mechanical vibrations. The theoretical model incorporates temperature and frequency as independent variables, which are the primary parameters of the author's intention, making it more useful than the previous work. Figure 3 illustrates the system's theoretical model voltage prediction which was consistent with experimental measurements. Three separate MFC piezoelectric transducers are laminated between layers of the epoxy glass composite, and each transducer is connected to a separate external resistor. The voltage drop at each resistor was recorded, and the average result was used for further analysis. The model was exposed to several moderate temperature environments (25 \({}^{\circ}\)C, 30 \({}^{\circ}\)C, 40 \({}^{\circ}\)C, 50 \({}^{\circ}\)C, and 60 \({}^{\circ}\)C). Because it was claimed that this alternative energy source would be used to harvest energy from our surroundings, the system was studied with a moderate environmental factor. The proposed mathematical model developed in this paper yielded highly consistent results in laboratory conditions. The laminated MFC was exposed to ambient temperature and frequency to investigate the dependence of certain parameters of the energy harvester system. The Curie temperature of the PZT fibers and the glass transition temperature of the epoxy used inside the MFC are the most important temperature limits. In reference [31] the temperature behavior of the key piezoelectric parameters, such as the electromechanical coupling factor, dielectric permittivity, piezoelectric charge constants, and voltage constants of a piezoelectric material, were studied. Temperatures below 150 \({}^{\circ}\)C have no significant effect on these parameters, indicating that any transducer made from this material can be used successfully up to this temperature without losing its magnetic properties. Between 150 and 250 degrees Celsius, the piezoelectric properties (piezoelectric constant) undergo significant changes, primarily due to the depoling effect, and beyond that, at temperatures above 250 degrees Celsius, they degrade rapidly, tending to zero. Figure 4 illustrates the frequency of excitation dependence of the MFC piezoelectric transducer. The graph depicts the voltage measurement at 40 degrees Celsius and five different frequencies. Figure 4: Time domain voltage measurement at 40 \({}^{\circ}\)C for various frequencies. Figure 3: Comparison between the experimental and the model simulation results of voltage obtained at different temperature ranges at 25 Hz frequency.