(3) In this problem, you will try to implement a two-state lumped thermal model for cylindrical...

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(3) In this problem, you will try to implement a two-state lumped thermal model for cylindrical batteries in Matlab/Simulink. The governing equations for the thermal dynamics are given by, c = s= = Q Ts-Te + Ce CeRe Te-Ts Tf-Ts + Cs Re Cs Ru where Te and Ts are the core and the surface temperatures of the battery, Ce and C, are the lumped heat capacities of the core and the surface, Re is the conduction resistance between the core and the surface, R is the convection resistance between the surface and the coolant flow, and Tf is the temperature of the coolant flow. The heat generation Q is modeled as Q = IRe, where R is a lumped internal resistance of the battery. The parameter values are listed in Table 1. Table 1: Model Parameters Ce(J/K) Cs(J/K)|| Re(N) Re(K/W) 10 0.05 100 2 (1) Ru(K/W) 5 (i) Implement the battery thermal model (1) in Simulink. Submit an image of your Simulink model. (ii) Simulate your model with I = 20A, Tf = 25C, initial surface temperature T3,0 = 25C, initial core temperature Te,0 = 25C, and a simulation time of 3000 seconds. Submit a single plot with Te and T. vs. time. Use axis labels with units, legends, and line styles/colors when appropriate. Include your name in the title. (3) In this problem, you will try to implement a two-state lumped thermal model for cylindrical batteries in Matlab/Simulink. The governing equations for the thermal dynamics are given by, c = s= = Q Ts-Te + Ce CeRe Te-Ts Tf-Ts + Cs Re Cs Ru where Te and Ts are the core and the surface temperatures of the battery, Ce and C, are the lumped heat capacities of the core and the surface, Re is the conduction resistance between the core and the surface, R is the convection resistance between the surface and the coolant flow, and Tf is the temperature of the coolant flow. The heat generation Q is modeled as Q = IRe, where R is a lumped internal resistance of the battery. The parameter values are listed in Table 1. Table 1: Model Parameters Ce(J/K) Cs(J/K)|| Re(N) Re(K/W) 10 0.05 100 2 (1) Ru(K/W) 5 (i) Implement the battery thermal model (1) in Simulink. Submit an image of your Simulink model. (ii) Simulate your model with I = 20A, Tf = 25C, initial surface temperature T3,0 = 25C, initial core temperature Te,0 = 25C, and a simulation time of 3000 seconds. Submit a single plot with Te and T. vs. time. Use axis labels with units, legends, and line styles/colors when appropriate. Include your name in the title.