(maxima.info)Functions and Variables for bode
44.1 Functions and Variables for bode
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-- Function: bode_gain (<H>, <range>, ...<plot_opts>...)
Function to draw Bode gain plots.
Examples (1 through 7 from
<http://www.swarthmore.edu/NatSci/echeeve1/Ref/Bode/BodeHow.html>,
8 from Ron Crummett):
(%i1) load("bode")$
(%i2) H1 (s) := 100 * (1 + s) / ((s + 10) * (s + 100))$
(%i3) bode_gain (H1 (s), [w, 1/1000, 1000])$
(%i4) H2 (s) := 1 / (1 + s/omega0)$
(%i5) bode_gain (H2 (s), [w, 1/1000, 1000]), omega0 = 10$
(%i6) H3 (s) := 1 / (1 + s/omega0)^2$
(%i7) bode_gain (H3 (s), [w, 1/1000, 1000]), omega0 = 10$
(%i8) H4 (s) := 1 + s/omega0$
(%i9) bode_gain (H4 (s), [w, 1/1000, 1000]), omega0 = 10$
(%i10) H5 (s) := 1/s$
(%i11) bode_gain (H5 (s), [w, 1/1000, 1000])$
(%i12) H6 (s) := 1/((s/omega0)^2 + 2 * zeta * (s/omega0) + 1)$
(%i13) bode_gain (H6 (s), [w, 1/1000, 1000]),
omega0 = 10, zeta = 1/10$
(%i14) H7 (s) := (s/omega0)^2 + 2 * zeta * (s/omega0) + 1$
(%i15) bode_gain (H7 (s), [w, 1/1000, 1000]),
omega0 = 10, zeta = 1/10$
(%i16) H8 (s) := 0.5 / (0.0001 * s^3 + 0.002 * s^2 + 0.01 * s)$
(%i17) bode_gain (H8 (s), [w, 1/1000, 1000])$
To use this function write first 'load("bode")'. See also
'bode_phase'.
-- Function: bode_phase (<H>, <range>, ...<plot_opts>...)
Function to draw Bode phase plots.
Examples (1 through 7 from
<http://www.swarthmore.edu/NatSci/echeeve1/Ref/Bode/BodeHow.html>,
8 from Ron Crummett):
(%i1) load("bode")$
(%i2) H1 (s) := 100 * (1 + s) / ((s + 10) * (s + 100))$
(%i3) bode_phase (H1 (s), [w, 1/1000, 1000])$
(%i4) H2 (s) := 1 / (1 + s/omega0)$
(%i5) bode_phase (H2 (s), [w, 1/1000, 1000]), omega0 = 10$
(%i6) H3 (s) := 1 / (1 + s/omega0)^2$
(%i7) bode_phase (H3 (s), [w, 1/1000, 1000]), omega0 = 10$
(%i8) H4 (s) := 1 + s/omega0$
(%i9) bode_phase (H4 (s), [w, 1/1000, 1000]), omega0 = 10$
(%i10) H5 (s) := 1/s$
(%i11) bode_phase (H5 (s), [w, 1/1000, 1000])$
(%i12) H6 (s) := 1/((s/omega0)^2 + 2 * zeta * (s/omega0) + 1)$
(%i13) bode_phase (H6 (s), [w, 1/1000, 1000]),
omega0 = 10, zeta = 1/10$
(%i14) H7 (s) := (s/omega0)^2 + 2 * zeta * (s/omega0) + 1$
(%i15) bode_phase (H7 (s), [w, 1/1000, 1000]),
omega0 = 10, zeta = 1/10$
(%i16) H8 (s) := 0.5 / (0.0001 * s^3 + 0.002 * s^2 + 0.01 * s)$
(%i17) bode_phase (H8 (s), [w, 1/1000, 1000])$
(%i18) block ([bode_phase_unwrap : false],
bode_phase (H8 (s), [w, 1/1000, 1000]));
(%i19) block ([bode_phase_unwrap : true],
bode_phase (H8 (s), [w, 1/1000, 1000]));
To use this function write first 'load("bode")'. See also
'bode_gain'.
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