Notes-2B

Notes-2B - 9/1/2009 Chapter 2 Modeling and Simulation...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
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: TI 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.
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
9/1/2009 2 2.1 Modeling Based on First Principles Electrical Systems: RLC circuit KCL to node 1: KCL to node 2: KVL to loop 3: 1.KCL 2.KCL 1 1 1 1 () i vt vt d vt Ci t dt R =− 22 21 2 dv t v t t g v t dt R 3.KVL 12 di t L dt 2 o = Bridged Tee Circuit Select node 4 as the reference and the voltages v 1 , v 2 , and v 3 at nodes 1, 2, 3 as the unknowns. Then 13 and io vv == At node 2 the KCL is And at node 3 the KCL is Transfer function: 2 1212 1 2 2 2 11 1 ( ) 1 [ ( ) ] 1 o i Vs CCRR s R RCs CCRRs RC ++ + = + +
Background image of page 2
9/1/2009 3 Another Electric Circuit Operational Amplifier Ideal op-amp: usually v +
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 02/03/2012 for the course EE 3530 taught by Professor Chen during the Fall '07 term at LSU.

Page1 / 23

Notes-2B - 9/1/2009 Chapter 2 Modeling and Simulation...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online