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Unformatted text preview: R1 1m L1 1u C1 1K R2 Figure 1: Simple RLC circuit Loop 1: 2 1 1 1 ) 1 ( I Cs Cs R I V in-+ = Loop 2: 1 2 2 1 ) 1 ( I Cs R Ls Cs I-+ + = Transfer Function: 2 2 1 2 ) ( + + = s s G s Inverse laplace ) ( ) sin( ) ( t u t e V t t-= Figure 2:Step Response of the Circuit For part B of the lab, we had to find the state space model for the circuit in figure 1. For this situation, V C and I L selected as state variables since they are linearly independent from each other. C I RC V RC V dt dV L C t C--= ) ( L C L I L R L V dt dI-= Figure 3:State Space matrix Conclusion: The lab was simple and straight forward. I hate getting the state space variables but its understandable that when one has a huge system to consider and breaks it into little portions using state space variable technique, then use matlab to simplify it or get the transfer function....
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This note was uploaded on 10/24/2011 for the course ELET 3700 taught by Professor Grubb during the Spring '11 term at North Texas.
- Spring '11