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EEE 302 Electrical Networks II

Explore the concepts of Bode plots for electrical networks, including first and second-order poles, zeros, and transfer functions. Learn how to create Bode plots using MATLAB and extract transfer functions from them. Practice exercises provided in Lecture 21.

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EEE 302 Electrical Networks II

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  1. EEE 302Electrical Networks II Dr. Keith E. Holbert Summer 2001 Lecture 21

  2. Bode Plots where N is the number of roots of value τ Lecture 21

  3. Bode Plots (cont’d.) • Further refinement of the magnitude characteristic for first order poles and zeros is possible since Magnitude at half break frequency: |H(½b)| = ±1 dB Magnitude at break frequency: |H(b)| = ±3 dB Magnitude at twice break frequency: |H(2b)| = ±7 dB • Second order poles (and zeros) require that the damping ratio ( value) be taken into account; see Fig. 12.13 in textbook Lecture 21

  4. Class Examples • Extension Exercise E12.6 • Use MATLAB to create the Bode plot (both magnitude and phase) for E12.6 Lecture 21

  5. Bode Plots to Transfer Function • We can also take the Bode plot and extract the transfer function from it (although in reality there will be error associated with our extracting information from the graph) • First, determine the constant gain factor, K • Next, move from lowest to highest frequency noting the appearance and order of the poles and zeros Lecture 21

  6. Class Example • Extension Exercise E12.7 Lecture 21

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