Elements of MATLAB and Simulink - Lecture 7 - PERCRO

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Thermal Regulation SimulinkThe solution for this integration is an S-Function written as M-fileParameters• Coordinates of Heater xh,yh and Radius• Node of the Thermostat• Initial Temperature T0• Heater Temperature ThInput• State of the Heater• External TemperatureOutput• State of the Heater• Maximum Temperature in Room• Temperature at Thermostat
References• Books• An Introduction to Partial Differential Equations withMATLAB,Coleman M., CRC Press, 2005• Introduction to Partial Differential Equations with MATLAB,Cooper J.M., Birkhause, 1998• Beginners Guide to Simulation for Physical Engineering:Practical Usage of MATLAB and PDEase, Yutaka Abe, 1999• Courses• Introduction to Partial Differential Equations, Doug Moore,2003• Introduction to Partial Differential Equations, Showalter,Oregon State University• MAE502 Partial Differential Equations in Engineering,ASU,2009
Page 1 and 2: Elements ofMatlab and SimulinkLectu
Page 3 and 4: Introducing PDEOrdinary Differentia
Page 5 and 6: Heat EquationHeat (or diffusion) eq
Page 7 and 8: Heat Equation 2DHeat Equation 2D: d
Page 9 and 10: Wave EquationLinear Waveu_tt = c^2
Page 11 and 12: Basics of FEMHow we can solve PDE n
Page 13 and 14: FEM 2DAirSiliconGeneralized approac
Page 15 and 16: MATLAB Partial Differential Equatio
Page 17 and 18: Geometry as Mesh• The FEM resolut
Page 19 and 20: Resolution of PDE• Solver functio
Page 21 and 22: PDE for Simulink• Simulink Solves
Page 23 and 24: Matrix Form of the FEMBasic Matrix
Page 25: Thermal Regulation PDE• Geometry

Elements of MATLAB and Simulink - Lecture 7 - PERCRO

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