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ELECTRICAL CIRCUITS

ELECTRICAL CIRCUITS. THE BODE DIAGRAM. CELSO JOSÉ FARIA DE ARAÚJO, M.Sc. Magnitude and Phase Plots of Network Function. Frequency Response. Bode Diagram. 2 Plots Magnitude versus frequency Phase versus frequency. Pole-zero diagram. H(s) Factors. A constant term, “K”.

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ELECTRICAL CIRCUITS

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  1. ELECTRICAL CIRCUITS THE BODE DIAGRAM CELSO JOSÉ FARIA DE ARAÚJO, M.Sc.

  2. Magnitude and Phase Plots of Network Function Frequency Response Bode Diagram Electrical Circuits - Celso José Faria de Araújo, M.Sc.

  3. Bode Diagram • 2 Plots • Magnitude versus frequency • Phase versus frequency Bode Diagram Electrical Circuits - Celso José Faria de Araújo, M.Sc.

  4. Pole-zero diagram Bode Diagram Electrical Circuits - Celso José Faria de Araújo, M.Sc.

  5. H(s) Factors • A constant term, “K”. • The factor “s”, representing a root at the origin. • The factor “s+”, representing a real root. • The factor “s2 + as + b”, representing complex conjugate roots. Bode Diagram Electrical Circuits - Celso José Faria de Araújo, M.Sc.

  6. The constant term “K” Magnitude and phase plots for a constant K Bode Diagram Electrical Circuits - Celso José Faria de Araújo, M.Sc.

  7. The factor “s” Magnitude and phase plots for (a) 1/s (b) s Bode Diagram Electrical Circuits - Celso José Faria de Araújo, M.Sc.

  8. The factor “s+” Magnitude (a) and phase (b) plots for (b) s+ Magnitude (c) and phase (d) plots for (b) 1/(s+) Bode Diagram Electrical Circuits - Celso José Faria de Araújo, M.Sc.

  9. The factor “s+” (example) Bode Diagram Electrical Circuits - Celso José Faria de Araújo, M.Sc.

  10. The factor “s2 + as + b”(1/4) Bode Diagram Electrical Circuits - Celso José Faria de Araújo, M.Sc.

  11. The factor “s2 + as + b”(2/4) Bode Diagram Electrical Circuits - Celso José Faria de Araújo, M.Sc.

  12. The factor “s2 + as + b”(3/4) Bode Diagram Electrical Circuits - Celso José Faria de Araújo, M.Sc.

  13. The factor “s2 + as + b”(4/4) Bode Diagram Electrical Circuits - Celso José Faria de Araújo, M.Sc.

  14. The biquadratic function Bode Diagram Electrical Circuits - Celso José Faria de Araújo, M.Sc.

  15. The biquadratic function (Summarizing) • The maximum occurs approximately at p if Qp>>1. • The minimum occurs approximately at z if Qz>>1. • Qp is a measure of the sharpness of the maximum. • Qz is a measure of the sharpness of the minimum. • The “dc” magnitude is 20 log |K z2/ p2|. • The infinite frequency magnitude is 20 log|K|. Very often the zeros are on the j axis in which case Qz= . Bode Diagram Electrical Circuits - Celso José Faria de Araújo, M.Sc.

  16. The biquadratic function (Example) Bode Diagram Electrical Circuits - Celso José Faria de Araújo, M.Sc.

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