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Notes-2B

# Notes-2B - Chapter 2 Modeling and Simulation Dynamic Model...

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9/1/2009 1 Chapter 2 Modeling and Simulation Dynamic Model: mathematical description of the process. How to model a dynamic system? First Principal (principals in physics) Typically, a set of differential equations. These equations can be Nonlinear Time Varying and Infinite Dimensional. In this course, we consider a special class of approximations: Experimental methods Mechanical Systems : Various forms of Newton’s Law Linear motion: F=ma Rotational Motion: T I θ = && Linear Time Invariant (LTI) processes. Models can be given in other forms: Transfer functions descriptions and graphical forms, etc Electric Circuits: Kirchhoff’s current law (KCL) Kirchhoff’s voltage law (KVL) Models of Electric Circuits Kirchhoff’s current law (KCL): The algebraic sum of currents leaving a junction or node equals the algebraic sum of currents entering that node. Kirchhoff’s voltage law (KVL): The algebraic sum of all voltages taken around a closed path in a circuit is zero.

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