From faf7e0f4700843b22657fc7f76afed3800f58f96 Mon Sep 17 00:00:00 2001 From: Giulio Maestrini Date: Sun, 6 Nov 2022 14:37:50 +0100 Subject: [PATCH] Aggiunti file per fit impedenza complessa --- complex_impedance/confronto_20-20K.svg | 708 ++ complex_impedance/confronto_impedenza.svg | 1539 +++ complex_impedance/fit.log | 737 ++ complex_impedance/humbucker_B_1.txt | 792 ++ complex_impedance/humbucker_B_2.txt | 790 ++ complex_impedance/humbucker_B_3.txt | 789 ++ complex_impedance/humbucker_B_4.txt | 792 ++ complex_impedance/impedenza_comp.gnuplot | 76 + .../impedenza_comp_20-20K.gnuplot | 122 + complex_impedance/measure_Z.sh | 113 + complex_impedance/partitore.gnuplot | 75 + complex_impedance/partitore.svg | 9231 +++++++++++++++++ complex_impedance/single_coil.txt | 810 ++ 13 files changed, 16574 insertions(+) create mode 100755 complex_impedance/confronto_20-20K.svg create mode 100644 complex_impedance/confronto_impedenza.svg create mode 100755 complex_impedance/fit.log create mode 100644 complex_impedance/humbucker_B_1.txt create mode 100644 complex_impedance/humbucker_B_2.txt create mode 100644 complex_impedance/humbucker_B_3.txt create mode 100644 complex_impedance/humbucker_B_4.txt create mode 100644 complex_impedance/impedenza_comp.gnuplot create mode 100644 complex_impedance/impedenza_comp_20-20K.gnuplot create mode 100755 complex_impedance/measure_Z.sh create mode 100644 complex_impedance/partitore.gnuplot create mode 100755 complex_impedance/partitore.svg create mode 100644 complex_impedance/single_coil.txt diff --git a/complex_impedance/confronto_20-20K.svg b/complex_impedance/confronto_20-20K.svg new file mode 100755 index 0000000..a40d93f --- /dev/null +++ b/complex_impedance/confronto_20-20K.svg @@ -0,0 +1,708 @@ + + + +Gnuplot +Produced by GNUPLOT 5.2 patchlevel 6 + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Confronto impedenze (20-20KHz) + + + + + + + + + + + + + + + 1000 + + + + + + + + + + + + + 10000 + + + + + + + + + + + + + 100000 + + + + + + + + + + + + + 1x106 + + + + + + + + + + + + + 1x107 + + + + + + + + + + + + + 100 + + + + + + + + + + + + + 1000 + + + + + + + + + + + + + 10000 + + + + + + + + + Modulo [ohm] + + + + + Frequenza [Hz] + + + + + single coil - modulo + + + + + + single coil - modulo + + + + + + + humbucker (coil 1) - modulo + + + + humbucker (coil 1) - modulo + + + + + + + humbucker (coil 2) - modulo + + + + humbucker (coil 2) - modulo + + + + + + + humbucker (parallelo) - modulo + + + + humbucker (parallelo) - modulo + + + + + + + humbucker (serie) - modulo + + + + humbucker (serie) - modulo + + + + + + + + + + + + + + + + + + + + + + + + + -100 + + + + + + + + + + + + + -80 + + + + + + + + + + + + + -60 + + + + + + + + + + + + + -40 + + + + + + + + + + + + + -20 + + + + + + + + + + + + + 0 + + + + + + + + + + + + + 20 + + + + + + + + + + + + + 40 + + + + + + + + + + + + + 60 + + + + + + + + + + + + + 80 + + + + + + + + + + + + + 100 + + + + + + + + + + + + + 100 + + + + + + + + + + + + + 1000 + + + + + + + + + + + + + 10000 + + + + + + + + + Fase [deg] + + + + + Frequenza [Hz] + + + + + single coil - fase + + + + + + single coil - fase + + + + + + + humbucker (coil 1) - fase + + + + humbucker (coil 1) - fase + + + + + + + humbucker (coil 2) - fase + + + + humbucker (coil 2) - fase + + + + + + + humbucker (parallelo) - fase + + + + humbucker (parallelo) - fase + + + + + + + humbucker (serie) - fase + + + + humbucker (serie) - fase + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/complex_impedance/confronto_impedenza.svg b/complex_impedance/confronto_impedenza.svg new file mode 100644 index 0000000..121979b --- /dev/null +++ b/complex_impedance/confronto_impedenza.svg @@ -0,0 +1,1539 @@ + + + +Gnuplot +Produced by GNUPLOT 5.2 patchlevel 6 + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Confronto impedenze + + + + + + + + + + + + + + + 1000 + + + + + + + + + + + + + 10000 + + + + + + + + + + + + + 100000 + + + + + + + + + + + + + 1x106 + + + + + + + + + + + + + 1x107 + + + + + + + + + + + + + 100 + + + + + + + + + + + + + 1000 + + + + + + + + + + + + + 10000 + + + + + + + + + + + + + 100000 + + + + + -100 + + + + + -80 + + + + + -60 + + + + + -40 + + + + + -20 + + + + + 0 + + + + + 20 + + + + + 40 + + + + + 60 + + + + + 80 + + + + + 100 + + + + + + + l=2.17 H cp=1.37e-10 F rs=5755 ohm + + + Fit from 5e+01 to 1e+05 Hz - reduced chisquare: 7.2e-05 + + + + + Modulo [ohm] + + + + + Fase [deg] + + + + + Frequenza [Hz] + + + + + single coil - modulo + + + + + + single coil - modulo + + + + + + + fase + + + + + + fase + + + + + + + + + + + + + + + + + + + + + + + + + + + 1000 + + + + + + + + + + + + + 10000 + + + + + + + + + + + + + 100000 + + + + + + + + + + + + + 1x106 + + + + + + + + + + + + + 1x107 + + + + + + + + + + + + + 100 + + + + + + + + + + + + + 1000 + + + + + + + + + + + + + 10000 + + + + + + + + + + + + + 100000 + + + + + -100 + + + + + -80 + + + + + -60 + + + + + -40 + + + + + -20 + + + + + 0 + + + + + 20 + + + + + 40 + + + + + 60 + + + + + 80 + + + + + 100 + + + + + + + l=2.66 H cp=1.05e-10 F rs=6980 ohm + + + Fit from 5e+01 to 1e+05 Hz - reduced chisquare: 1.4e-04 + + + + + Modulo [ohm] + + + + + Fase [deg] + + + + + Frequenza [Hz] + + + + + humbucker (coil 1) - modulo + + + + + + humbucker (coil 1) - modulo + + + + + + + fase + + + + + + fase + + + + + + + + + + + + + + + + + + + + + + + + + + + 1000 + + + + + + + + + + + + + 10000 + + + + + + + + + + + + + 100000 + + + + + + + + + + + + + 1x106 + + + + + + + + + + + + + 1x107 + + + + + + + + + + + + + 100 + + + + + + + + + + + + + 1000 + + + + + + + + + + + + + 10000 + + + + + + + + + + + + + 100000 + + + + + -100 + + + + + -80 + + + + + -60 + + + + + -40 + + + + + -20 + + + + + 0 + + + + + 20 + + + + + 40 + + + + + 60 + + + + + 80 + + + + + 100 + + + + + + + l=2.72 H cp=1.08e-10 F rs=6796 ohm + + + Fit from 5e+01 to 1e+05 Hz - reduced chisquare: 7.3e-05 + + + + + Modulo [ohm] + + + + + Fase [deg] + + + + + Frequenza [Hz] + + + + + humbucker (coil 2) - modulo + + + + + + humbucker (coil 2) - modulo + + + + + + + fase + + + + + + fase + + + + + + + + + + + + + + + + + + + + + + + + + + + 1000 + + + + + + + + + + + + + 10000 + + + + + + + + + + + + + 100000 + + + + + + + + + + + + + 1x106 + + + + + + + + + + + + + 1x107 + + + + + + + + + + + + + 100 + + + + + + + + + + + + + 1000 + + + + + + + + + + + + + 10000 + + + + + + + + + + + + + 100000 + + + + + -100 + + + + + -80 + + + + + -60 + + + + + -40 + + + + + -20 + + + + + 0 + + + + + 20 + + + + + 40 + + + + + 60 + + + + + 80 + + + + + 100 + + + + + + + l=1.10 H cp=2.04e-10 F rs=3594 ohm + + + Fit from 5e+01 to 1e+05 Hz - reduced chisquare: 2.3e-04 + + + + + Modulo [ohm] + + + + + Fase [deg] + + + + + Frequenza [Hz] + + + + + humbucker (parallelo) - modulo + + + + + + humbucker (parallelo) - modulo + + + + + + + fase + + + + + + fase + + + + + + + + + + + + + + + + + + + + + + + + + + + 10000 + + + + + + + + + + + + + 100000 + + + + + + + + + + + + + 1x106 + + + + + + + + + + + + + 1x107 + + + + + + + + + + + + + 100 + + + + + + + + + + + + + 1000 + + + + + + + + + + + + + 10000 + + + + + + + + + + + + + 100000 + + + + + -100 + + + + + -80 + + + + + -60 + + + + + -40 + + + + + -20 + + + + + 0 + + + + + 20 + + + + + 40 + + + + + 60 + + + + + 80 + + + + + 100 + + + + + + + l=6.17 H cp=6.94e-11 F rs=14410 ohm + + + Fit from 5e+01 to 1e+05 Hz - reduced chisquare: 4.0e-05 + + + + + Modulo [ohm] + + + + + Fase [deg] + + + + + Frequenza [Hz] + + + + + humbucker (serie) - modulo + + + + + + humbucker (serie) - modulo + + + + + + + fase + + + + + + fase + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/complex_impedance/fit.log b/complex_impedance/fit.log new file mode 100755 index 0000000..12bb4e6 --- /dev/null +++ b/complex_impedance/fit.log @@ -0,0 +1,737 @@ + + +******************************************************************************* +Tue Mar 23 08:31:09 2021 + + +FIT: data read from in u 1:($3/$2) + format = x:z + x range restricted to [50.0000 : 100000.] + #datapoints = 744 + residuals are weighted equally (unit weight) + +function used for fitting: abs(z(x)) + z(x) = (1/(rs + i*w(x)*l) + (i*w(x)*cp))**-1 + w(f) = 2*pi*f +fitted parameters initialized with current variable values + +iter chisq delta/lim lambda l cp rs + 0 7.1240819547e+13 0.00e+00 2.01e+06 2.000000e+00 1.000000e-10 5.810000e+03 + 9 1.7676504798e+01 -2.77e-01 2.01e-03 -2.676291e-08 6.525122e-10 2.383627e-01 + +After 9 iterations the fit converged. +final sum of squares of residuals : 17.6765 +rel. change during last iteration : -2.77113e-06 + +degrees of freedom (FIT_NDF) : 741 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.15445 +variance of residuals (reduced chisquare) = WSSR/ndf : 0.0238549 + +Final set of parameters Asymptotic Standard Error +======================= ========================== +l = -2.67629e-08 +/- 0.0006776 (2.532e+06%) +cp = 6.52512e-10 +/- 0.01186 (1.817e+09%) +rs = 0.238363 +/- 0.006284 (2.636%) + +correlation matrix of the fit parameters: + l cp rs +l 1.000 +cp -1.000 1.000 +rs 0.269 -0.269 1.000 + + +******************************************************************************* +Tue Mar 23 08:32:49 2021 + + +FIT: data read from in u 1:($3/$2) + format = x:z + x range restricted to [50.0000 : 100000.] + #datapoints = 744 + residuals are weighted equally (unit weight) + +function used for fitting: abs(t(x)) + t(x) = r / ( r + z(x)) + z(x) = (1/(rs + i*w(x)*l) + (i*w(x)*cp))**-1 + w(f) = 2*pi*f +fitted parameters initialized with current variable values + +iter chisq delta/lim lambda l cp rs + 0 5.4586459090e-01 0.00e+00 9.70e-02 2.000000e+00 1.000000e-10 5.810000e+03 + 3 5.3134407402e-02 -7.42e-01 9.70e-05 2.171135e+00 1.374201e-10 5.755052e+03 + +After 3 iterations the fit converged. +final sum of squares of residuals : 0.0531344 +rel. change during last iteration : -7.42185e-06 + +degrees of freedom (FIT_NDF) : 741 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.00846796 +variance of residuals (reduced chisquare) = WSSR/ndf : 7.17064e-05 + +Final set of parameters Asymptotic Standard Error +======================= ========================== +l = 2.17113 +/- 0.008791 (0.4049%) +cp = 1.3742e-10 +/- 4.87e-13 (0.3544%) +rs = 5755.05 +/- 14.94 (0.2596%) + +correlation matrix of the fit parameters: + l cp rs +l 1.000 +cp -0.102 1.000 +rs -0.355 0.033 1.000 + + +******************************************************************************* +Tue Mar 23 08:34:29 2021 + + +FIT: data read from in u 1:($3/$2) + format = x:z + x range restricted to [50.0000 : 100000.] + #datapoints = 744 + residuals are weighted equally (unit weight) + +function used for fitting: abs(t(x)) + t(x) = r / ( r + z(x)) + z(x) = (1/(rs + i*w(x)*l) + (i*w(x)*cp))**-1 + w(f) = 2*pi*f +fitted parameters initialized with current variable values + +iter chisq delta/lim lambda l cp rs + 0 5.4586459090e-01 0.00e+00 9.70e-02 2.000000e+00 1.000000e-10 5.810000e+03 + 3 5.3134407402e-02 -7.42e-01 9.70e-05 2.171135e+00 1.374201e-10 5.755052e+03 + +After 3 iterations the fit converged. +final sum of squares of residuals : 0.0531344 +rel. change during last iteration : -7.42185e-06 + +degrees of freedom (FIT_NDF) : 741 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.00846796 +variance of residuals (reduced chisquare) = WSSR/ndf : 7.17064e-05 + +Final set of parameters Asymptotic Standard Error +======================= ========================== +l = 2.17113 +/- 0.008791 (0.4049%) +cp = 1.3742e-10 +/- 4.87e-13 (0.3544%) +rs = 5755.05 +/- 14.94 (0.2596%) + +correlation matrix of the fit parameters: + l cp rs +l 1.000 +cp -0.102 1.000 +rs -0.355 0.033 1.000 + + +******************************************************************************* +Tue Mar 23 08:42:13 2021 + + +FIT: data read from in u 1:($3/$2) + format = x:z + x range restricted to [50.0000 : 100000.] + #datapoints = 744 + residuals are weighted equally (unit weight) + +function used for fitting: abs(t(x)) + t(x) = r / ( r + z(x)) + z(x) = (1/(rs + i*w(x)*l) + (i*w(x)*cp))**-1 + w(f) = 2*pi*f +fitted parameters initialized with current variable values + +iter chisq delta/lim lambda l cp rs + 0 5.4586459090e-01 0.00e+00 9.70e-02 2.000000e+00 1.000000e-10 5.810000e+03 + 3 5.3134407402e-02 -7.42e-01 9.70e-05 2.171135e+00 1.374201e-10 5.755052e+03 + +After 3 iterations the fit converged. +final sum of squares of residuals : 0.0531344 +rel. change during last iteration : -7.42185e-06 + +degrees of freedom (FIT_NDF) : 741 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.00846796 +variance of residuals (reduced chisquare) = WSSR/ndf : 7.17064e-05 + +Final set of parameters Asymptotic Standard Error +======================= ========================== +l = 2.17113 +/- 0.008791 (0.4049%) +cp = 1.3742e-10 +/- 4.87e-13 (0.3544%) +rs = 5755.05 +/- 14.94 (0.2596%) + +correlation matrix of the fit parameters: + l cp rs +l 1.000 +cp -0.102 1.000 +rs -0.355 0.033 1.000 + + +******************************************************************************* +Tue Mar 23 08:42:13 2021 + + +FIT: data read from in u 1:($3/$2) + format = x:z + x range restricted to [50.0000 : 100000.] + #datapoints = 726 + residuals are weighted equally (unit weight) + +function used for fitting: abs(t(x)) + t(x) = r / ( r + z(x)) + z(x) = (1/(rs + i*w(x)*l) + (i*w(x)*cp))**-1 + w(f) = 2*pi*f +fitted parameters initialized with current variable values + +iter chisq delta/lim lambda l cp rs + 0 1.1887660623e+00 0.00e+00 1.02e-01 2.171135e+00 1.374201e-10 5.755052e+03 + 4 9.8833443892e-02 -6.00e-01 1.02e-05 2.656305e+00 1.047442e-10 6.979837e+03 + +After 4 iterations the fit converged. +final sum of squares of residuals : 0.0988334 +rel. change during last iteration : -5.99696e-06 + +degrees of freedom (FIT_NDF) : 723 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.0116918 +variance of residuals (reduced chisquare) = WSSR/ndf : 0.000136699 + +Final set of parameters Asymptotic Standard Error +======================= ========================== +l = 2.65631 +/- 0.01714 (0.6454%) +cp = 1.04744e-10 +/- 6.415e-13 (0.6124%) +rs = 6979.84 +/- 26.58 (0.3808%) + +correlation matrix of the fit parameters: + l cp rs +l 1.000 +cp -0.093 1.000 +rs -0.364 0.031 1.000 + + +******************************************************************************* +Tue Mar 23 08:42:13 2021 + + +FIT: data read from in u 1:($3/$2) + format = x:z + x range restricted to [50.0000 : 100000.] + #datapoints = 728 + residuals are weighted equally (unit weight) + +function used for fitting: abs(t(x)) + t(x) = r / ( r + z(x)) + z(x) = (1/(rs + i*w(x)*l) + (i*w(x)*cp))**-1 + w(f) = 2*pi*f +fitted parameters initialized with current variable values + +iter chisq delta/lim lambda l cp rs + 0 6.4329836880e-02 0.00e+00 9.17e-02 2.656305e+00 1.047442e-10 6.979837e+03 + 3 5.2729465040e-02 -8.29e-02 9.17e-05 2.723158e+00 1.083953e-10 6.796265e+03 + +After 3 iterations the fit converged. +final sum of squares of residuals : 0.0527295 +rel. change during last iteration : -8.29026e-07 + +degrees of freedom (FIT_NDF) : 725 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.00852821 +variance of residuals (reduced chisquare) = WSSR/ndf : 7.27303e-05 + +Final set of parameters Asymptotic Standard Error +======================= ========================== +l = 2.72316 +/- 0.01263 (0.4639%) +cp = 1.08395e-10 +/- 4.688e-13 (0.4325%) +rs = 6796.27 +/- 19 (0.2796%) + +correlation matrix of the fit parameters: + l cp rs +l 1.000 +cp -0.091 1.000 +rs -0.367 0.030 1.000 + + +******************************************************************************* +Tue Mar 23 08:42:13 2021 + + +FIT: data read from in u 1:($3/$2) + format = x:z + x range restricted to [50.0000 : 100000.] + #datapoints = 726 + residuals are weighted equally (unit weight) + +function used for fitting: abs(t(x)) + t(x) = r / ( r + z(x)) + z(x) = (1/(rs + i*w(x)*l) + (i*w(x)*cp))**-1 + w(f) = 2*pi*f +fitted parameters initialized with current variable values + +iter chisq delta/lim lambda l cp rs + 0 1.5036699161e+01 0.00e+00 9.24e-02 2.723158e+00 1.083953e-10 6.796265e+03 + 8 1.6613978852e-01 -8.80e-02 9.24e-08 1.104747e+00 2.044614e-10 3.594094e+03 + +After 8 iterations the fit converged. +final sum of squares of residuals : 0.16614 +rel. change during last iteration : -8.79741e-07 + +degrees of freedom (FIT_NDF) : 723 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.0151589 +variance of residuals (reduced chisquare) = WSSR/ndf : 0.000229792 + +Final set of parameters Asymptotic Standard Error +======================= ========================== +l = 1.10475 +/- 0.006502 (0.5885%) +cp = 2.04461e-10 +/- 9.691e-13 (0.474%) +rs = 3594.09 +/- 15.02 (0.4179%) + +correlation matrix of the fit parameters: + l cp rs +l 1.000 +cp -0.148 1.000 +rs -0.321 0.043 1.000 + + +******************************************************************************* +Tue Mar 23 08:42:13 2021 + + +FIT: data read from in u 1:($3/$2) + format = x:z + x range restricted to [50.0000 : 100000.] + #datapoints = 730 + residuals are weighted equally (unit weight) + +function used for fitting: abs(t(x)) + t(x) = r / ( r + z(x)) + z(x) = (1/(rs + i*w(x)*l) + (i*w(x)*cp))**-1 + w(f) = 2*pi*f +fitted parameters initialized with current variable values + +iter chisq delta/lim lambda l cp rs + 0 4.5023882575e+01 0.00e+00 1.22e-01 1.104747e+00 2.044614e-10 3.594094e+03 + 7 2.9438691957e-02 -4.28e-01 1.22e-08 6.166092e+00 6.936878e-11 1.440951e+04 + +After 7 iterations the fit converged. +final sum of squares of residuals : 0.0294387 +rel. change during last iteration : -4.27966e-06 + +degrees of freedom (FIT_NDF) : 727 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.00636344 +variance of residuals (reduced chisquare) = WSSR/ndf : 4.04934e-05 + +Final set of parameters Asymptotic Standard Error +======================= ========================== +l = 6.16609 +/- 0.0357 (0.5789%) +cp = 6.93688e-11 +/- 3.354e-13 (0.4834%) +rs = 14409.5 +/- 43.61 (0.3027%) + +correlation matrix of the fit parameters: + l cp rs +l 1.000 +cp -0.071 1.000 +rs -0.395 0.025 1.000 + + +******************************************************************************* +Tue Mar 23 08:45:10 2021 + + +FIT: data read from in u 1:($3/$2) + format = x:z + x range restricted to [50.0000 : 100000.] + #datapoints = 744 + residuals are weighted equally (unit weight) + +function used for fitting: abs(t(x)) + t(x) = r / ( r + z(x)) + z(x) = (1/(rs + i*w(x)*l) + (i*w(x)*cp))**-1 + w(f) = 2*pi*f +fitted parameters initialized with current variable values + +iter chisq delta/lim lambda l cp rs + 0 5.4586459090e-01 0.00e+00 9.70e-02 2.000000e+00 1.000000e-10 5.810000e+03 + 3 5.3134407402e-02 -7.42e-01 9.70e-05 2.171135e+00 1.374201e-10 5.755052e+03 + +After 3 iterations the fit converged. +final sum of squares of residuals : 0.0531344 +rel. change during last iteration : -7.42185e-06 + +degrees of freedom (FIT_NDF) : 741 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.00846796 +variance of residuals (reduced chisquare) = WSSR/ndf : 7.17064e-05 + +Final set of parameters Asymptotic Standard Error +======================= ========================== +l = 2.17113 +/- 0.008791 (0.4049%) +cp = 1.3742e-10 +/- 4.87e-13 (0.3544%) +rs = 5755.05 +/- 14.94 (0.2596%) + +correlation matrix of the fit parameters: + l cp rs +l 1.000 +cp -0.102 1.000 +rs -0.355 0.033 1.000 + + +******************************************************************************* +Tue Mar 23 08:45:10 2021 + + +FIT: data read from in u 1:($3/$2) + format = x:z + x range restricted to [50.0000 : 100000.] + #datapoints = 726 + residuals are weighted equally (unit weight) + +function used for fitting: abs(t(x)) + t(x) = r / ( r + z(x)) + z(x) = (1/(rs + i*w(x)*l) + (i*w(x)*cp))**-1 + w(f) = 2*pi*f +fitted parameters initialized with current variable values + +iter chisq delta/lim lambda l cp rs + 0 1.1887660623e+00 0.00e+00 1.02e-01 2.171135e+00 1.374201e-10 5.755052e+03 + 4 9.8833443892e-02 -6.00e-01 1.02e-05 2.656305e+00 1.047442e-10 6.979837e+03 + +After 4 iterations the fit converged. +final sum of squares of residuals : 0.0988334 +rel. change during last iteration : -5.99696e-06 + +degrees of freedom (FIT_NDF) : 723 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.0116918 +variance of residuals (reduced chisquare) = WSSR/ndf : 0.000136699 + +Final set of parameters Asymptotic Standard Error +======================= ========================== +l = 2.65631 +/- 0.01714 (0.6454%) +cp = 1.04744e-10 +/- 6.415e-13 (0.6124%) +rs = 6979.84 +/- 26.58 (0.3808%) + +correlation matrix of the fit parameters: + l cp rs +l 1.000 +cp -0.093 1.000 +rs -0.364 0.031 1.000 + + +******************************************************************************* +Tue Mar 23 08:45:10 2021 + + +FIT: data read from in u 1:($3/$2) + format = x:z + x range restricted to [50.0000 : 100000.] + #datapoints = 728 + residuals are weighted equally (unit weight) + +function used for fitting: abs(t(x)) + t(x) = r / ( r + z(x)) + z(x) = (1/(rs + i*w(x)*l) + (i*w(x)*cp))**-1 + w(f) = 2*pi*f +fitted parameters initialized with current variable values + +iter chisq delta/lim lambda l cp rs + 0 6.4329836880e-02 0.00e+00 9.17e-02 2.656305e+00 1.047442e-10 6.979837e+03 + 3 5.2729465040e-02 -8.29e-02 9.17e-05 2.723158e+00 1.083953e-10 6.796265e+03 + +After 3 iterations the fit converged. +final sum of squares of residuals : 0.0527295 +rel. change during last iteration : -8.29026e-07 + +degrees of freedom (FIT_NDF) : 725 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.00852821 +variance of residuals (reduced chisquare) = WSSR/ndf : 7.27303e-05 + +Final set of parameters Asymptotic Standard Error +======================= ========================== +l = 2.72316 +/- 0.01263 (0.4639%) +cp = 1.08395e-10 +/- 4.688e-13 (0.4325%) +rs = 6796.27 +/- 19 (0.2796%) + +correlation matrix of the fit parameters: + l cp rs +l 1.000 +cp -0.091 1.000 +rs -0.367 0.030 1.000 + + +******************************************************************************* +Tue Mar 23 08:45:10 2021 + + +FIT: data read from in u 1:($3/$2) + format = x:z + x range restricted to [50.0000 : 100000.] + #datapoints = 726 + residuals are weighted equally (unit weight) + +function used for fitting: abs(t(x)) + t(x) = r / ( r + z(x)) + z(x) = (1/(rs + i*w(x)*l) + (i*w(x)*cp))**-1 + w(f) = 2*pi*f +fitted parameters initialized with current variable values + +iter chisq delta/lim lambda l cp rs + 0 1.5036699161e+01 0.00e+00 9.24e-02 2.723158e+00 1.083953e-10 6.796265e+03 + 8 1.6613978852e-01 -8.80e-02 9.24e-08 1.104747e+00 2.044614e-10 3.594094e+03 + +After 8 iterations the fit converged. +final sum of squares of residuals : 0.16614 +rel. change during last iteration : -8.79741e-07 + +degrees of freedom (FIT_NDF) : 723 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.0151589 +variance of residuals (reduced chisquare) = WSSR/ndf : 0.000229792 + +Final set of parameters Asymptotic Standard Error +======================= ========================== +l = 1.10475 +/- 0.006502 (0.5885%) +cp = 2.04461e-10 +/- 9.691e-13 (0.474%) +rs = 3594.09 +/- 15.02 (0.4179%) + +correlation matrix of the fit parameters: + l cp rs +l 1.000 +cp -0.148 1.000 +rs -0.321 0.043 1.000 + + +******************************************************************************* +Tue Mar 23 08:45:10 2021 + + +FIT: data read from in u 1:($3/$2) + format = x:z + x range restricted to [50.0000 : 100000.] + #datapoints = 730 + residuals are weighted equally (unit weight) + +function used for fitting: abs(t(x)) + t(x) = r / ( r + z(x)) + z(x) = (1/(rs + i*w(x)*l) + (i*w(x)*cp))**-1 + w(f) = 2*pi*f +fitted parameters initialized with current variable values + +iter chisq delta/lim lambda l cp rs + 0 4.5023882575e+01 0.00e+00 1.22e-01 1.104747e+00 2.044614e-10 3.594094e+03 + 7 2.9438691957e-02 -4.28e-01 1.22e-08 6.166092e+00 6.936878e-11 1.440951e+04 + +After 7 iterations the fit converged. +final sum of squares of residuals : 0.0294387 +rel. change during last iteration : -4.27966e-06 + +degrees of freedom (FIT_NDF) : 727 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.00636344 +variance of residuals (reduced chisquare) = WSSR/ndf : 4.04934e-05 + +Final set of parameters Asymptotic Standard Error +======================= ========================== +l = 6.16609 +/- 0.0357 (0.5789%) +cp = 6.93688e-11 +/- 3.354e-13 (0.4834%) +rs = 14409.5 +/- 43.61 (0.3027%) + +correlation matrix of the fit parameters: + l cp rs +l 1.000 +cp -0.071 1.000 +rs -0.395 0.025 1.000 + + +******************************************************************************* +Tue Mar 23 08:47:20 2021 + + +FIT: data read from in u 1:($3/$2) + format = x:z + x range restricted to [50.0000 : 100000.] + #datapoints = 744 + residuals are weighted equally (unit weight) + +function used for fitting: abs(t(x)) + t(x) = r / ( r + z(x)) + z(x) = (1/(rs + i*w(x)*l) + (i*w(x)*cp))**-1 + w(f) = 2*pi*f +fitted parameters initialized with current variable values + +iter chisq delta/lim lambda l cp rs + 0 5.4586459090e-01 0.00e+00 9.70e-02 2.000000e+00 1.000000e-10 5.810000e+03 + 3 5.3134407402e-02 -7.42e-01 9.70e-05 2.171135e+00 1.374201e-10 5.755052e+03 + +After 3 iterations the fit converged. +final sum of squares of residuals : 0.0531344 +rel. change during last iteration : -7.42185e-06 + +degrees of freedom (FIT_NDF) : 741 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.00846796 +variance of residuals (reduced chisquare) = WSSR/ndf : 7.17064e-05 + +Final set of parameters Asymptotic Standard Error +======================= ========================== +l = 2.17113 +/- 0.008791 (0.4049%) +cp = 1.3742e-10 +/- 4.87e-13 (0.3544%) +rs = 5755.05 +/- 14.94 (0.2596%) + +correlation matrix of the fit parameters: + l cp rs +l 1.000 +cp -0.102 1.000 +rs -0.355 0.033 1.000 + + +******************************************************************************* +Tue Mar 23 08:47:20 2021 + + +FIT: data read from in u 1:($3/$2) + format = x:z + x range restricted to [50.0000 : 100000.] + #datapoints = 726 + residuals are weighted equally (unit weight) + +function used for fitting: abs(t(x)) + t(x) = r / ( r + z(x)) + z(x) = (1/(rs + i*w(x)*l) + (i*w(x)*cp))**-1 + w(f) = 2*pi*f +fitted parameters initialized with current variable values + +iter chisq delta/lim lambda l cp rs + 0 1.1887660623e+00 0.00e+00 1.02e-01 2.171135e+00 1.374201e-10 5.755052e+03 + 4 9.8833443892e-02 -6.00e-01 1.02e-05 2.656305e+00 1.047442e-10 6.979837e+03 + +After 4 iterations the fit converged. +final sum of squares of residuals : 0.0988334 +rel. change during last iteration : -5.99696e-06 + +degrees of freedom (FIT_NDF) : 723 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.0116918 +variance of residuals (reduced chisquare) = WSSR/ndf : 0.000136699 + +Final set of parameters Asymptotic Standard Error +======================= ========================== +l = 2.65631 +/- 0.01714 (0.6454%) +cp = 1.04744e-10 +/- 6.415e-13 (0.6124%) +rs = 6979.84 +/- 26.58 (0.3808%) + +correlation matrix of the fit parameters: + l cp rs +l 1.000 +cp -0.093 1.000 +rs -0.364 0.031 1.000 + + +******************************************************************************* +Tue Mar 23 08:47:20 2021 + + +FIT: data read from in u 1:($3/$2) + format = x:z + x range restricted to [50.0000 : 100000.] + #datapoints = 728 + residuals are weighted equally (unit weight) + +function used for fitting: abs(t(x)) + t(x) = r / ( r + z(x)) + z(x) = (1/(rs + i*w(x)*l) + (i*w(x)*cp))**-1 + w(f) = 2*pi*f +fitted parameters initialized with current variable values + +iter chisq delta/lim lambda l cp rs + 0 6.4329836880e-02 0.00e+00 9.17e-02 2.656305e+00 1.047442e-10 6.979837e+03 + 3 5.2729465040e-02 -8.29e-02 9.17e-05 2.723158e+00 1.083953e-10 6.796265e+03 + +After 3 iterations the fit converged. +final sum of squares of residuals : 0.0527295 +rel. change during last iteration : -8.29026e-07 + +degrees of freedom (FIT_NDF) : 725 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.00852821 +variance of residuals (reduced chisquare) = WSSR/ndf : 7.27303e-05 + +Final set of parameters Asymptotic Standard Error +======================= ========================== +l = 2.72316 +/- 0.01263 (0.4639%) +cp = 1.08395e-10 +/- 4.688e-13 (0.4325%) +rs = 6796.27 +/- 19 (0.2796%) + +correlation matrix of the fit parameters: + l cp rs +l 1.000 +cp -0.091 1.000 +rs -0.367 0.030 1.000 + + +******************************************************************************* +Tue Mar 23 08:47:20 2021 + + +FIT: data read from in u 1:($3/$2) + format = x:z + x range restricted to [50.0000 : 100000.] + #datapoints = 726 + residuals are weighted equally (unit weight) + +function used for fitting: abs(t(x)) + t(x) = r / ( r + z(x)) + z(x) = (1/(rs + i*w(x)*l) + (i*w(x)*cp))**-1 + w(f) = 2*pi*f +fitted parameters initialized with current variable values + +iter chisq delta/lim lambda l cp rs + 0 1.5036699161e+01 0.00e+00 9.24e-02 2.723158e+00 1.083953e-10 6.796265e+03 + 8 1.6613978852e-01 -8.80e-02 9.24e-08 1.104747e+00 2.044614e-10 3.594094e+03 + +After 8 iterations the fit converged. +final sum of squares of residuals : 0.16614 +rel. change during last iteration : -8.79741e-07 + +degrees of freedom (FIT_NDF) : 723 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.0151589 +variance of residuals (reduced chisquare) = WSSR/ndf : 0.000229792 + +Final set of parameters Asymptotic Standard Error +======================= ========================== +l = 1.10475 +/- 0.006502 (0.5885%) +cp = 2.04461e-10 +/- 9.691e-13 (0.474%) +rs = 3594.09 +/- 15.02 (0.4179%) + +correlation matrix of the fit parameters: + l cp rs +l 1.000 +cp -0.148 1.000 +rs -0.321 0.043 1.000 + + +******************************************************************************* +Tue Mar 23 08:47:20 2021 + + +FIT: data read from in u 1:($3/$2) + format = x:z + x range restricted to [50.0000 : 100000.] + #datapoints = 730 + residuals are weighted equally (unit weight) + +function used for fitting: abs(t(x)) + t(x) = r / ( r + z(x)) + z(x) = (1/(rs + i*w(x)*l) + (i*w(x)*cp))**-1 + w(f) = 2*pi*f +fitted parameters initialized with current variable values + +iter chisq delta/lim lambda l cp rs + 0 4.5023882575e+01 0.00e+00 1.22e-01 1.104747e+00 2.044614e-10 3.594094e+03 + 7 2.9438691957e-02 -4.28e-01 1.22e-08 6.166092e+00 6.936878e-11 1.440951e+04 + +After 7 iterations the fit converged. +final sum of squares of residuals : 0.0294387 +rel. change during last iteration : -4.27966e-06 + +degrees of freedom (FIT_NDF) : 727 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.00636344 +variance of residuals (reduced chisquare) = WSSR/ndf : 4.04934e-05 + +Final set of parameters Asymptotic Standard Error +======================= ========================== +l = 6.16609 +/- 0.0357 (0.5789%) +cp = 6.93688e-11 +/- 3.354e-13 (0.4834%) +rs = 14409.5 +/- 43.61 (0.3027%) + +correlation matrix of the fit parameters: + l cp rs +l 1.000 +cp -0.071 1.000 +rs -0.395 0.025 1.000 diff --git a/complex_impedance/humbucker_B_1.txt b/complex_impedance/humbucker_B_1.txt new file mode 100644 index 0000000..9743d94 --- /dev/null +++ b/complex_impedance/humbucker_B_1.txt @@ -0,0 +1,792 @@ +# Thu Mar 18 20:02:48 CET 2021 +#Freq (Hz) V1 (V) V2 (V) Phase shift (deg) +9.9E37 9.9E37 9.9E37 9.9E37 +2.976191e+01 2.040000e+00 8.178893e-01 0.000000e+00 +2.976191e+01 2.000000e+00 8.178893e-01 0.000000e+00 +2.976191e+01 2.000000e+00 8.178893e-01 0.000000e+00 +2.976191e+01 2.000000e+00 8.178893e-01 0.000000e+00 +2.976191e+01 2.000000e+00 8.178893e-01 4.285714e+00 +2.976191e+01 2.000000e+00 8.178893e-01 2.142857e+00 +2.994012e+01 2.000000e+00 8.178893e-01 4.311377e+00 +3.012048e+01 2.000000e+00 8.178893e-01 0.000000e+00 +3.048780e+01 2.000000e+00 8.178893e-01 4.390244e+00 +3.067485e+01 2.000000e+00 8.178893e-01 4.417178e+00 +3.086420e+01 2.000000e+00 8.178893e-01 2.236025e+00 +3.125000e+01 2.000000e+00 8.178893e-01 0.000000e+00 +3.144654e+01 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+1.024590e+05 2.040000e+00 5.662310e-01 -5.606557e+01 diff --git a/complex_impedance/humbucker_B_3.txt b/complex_impedance/humbucker_B_3.txt new file mode 100644 index 0000000..8764163 --- /dev/null +++ b/complex_impedance/humbucker_B_3.txt @@ -0,0 +1,789 @@ +# Thu Mar 18 20:17:26 CET 2021 +#Freq (Hz) V1 (V) V2 (V) Phase shift (deg) +2.976191e+01 2.000000e+00 1.157627e+00 2.142857e+00 +2.976191e+01 2.000000e+00 1.157627e+00 -2.142857e+00 +2.976191e+01 2.000000e+00 1.157627e+00 4.285714e+00 +2.958580e+01 2.000000e+00 1.157627e+00 2.142857e+00 +2.976191e+01 2.000000e+00 1.157627e+00 -2.142857e+00 +2.994012e+01 2.000000e+00 1.157627e+00 -2.168675e+00 +3.012048e+01 2.000000e+00 1.157627e+00 4.363636e+00 +3.048780e+01 2.000000e+00 1.157627e+00 0.000000e+00 +3.086420e+01 2.000000e+00 1.140850e+00 -2.222222e+00 +3.105590e+01 2.000000e+00 1.157627e+00 4.500000e+00 +3.144654e+01 2.000000e+00 1.157627e+00 0.000000e+00 +3.184714e+01 2.000000e+00 1.157627e+00 2.292994e+00 +3.205128e+01 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-6.705882e+01 +1.020408e+05 2.040000e+00 3.694354e-01 -6.318367e+01 diff --git a/complex_impedance/impedenza_comp.gnuplot b/complex_impedance/impedenza_comp.gnuplot new file mode 100644 index 0000000..c14c6f4 --- /dev/null +++ b/complex_impedance/impedenza_comp.gnuplot @@ -0,0 +1,76 @@ +# Gnuplot script to fit an plot complex impedence +# gnuplot -c "impedenza_comp.gnuplot" + +set output 'confronto.svg' +titolo = "Confronto impedenze" + +set terminal svg size 1200,4000 mouse jsdir "https://devmsg.addns.org/public/pickup/gnuplot_js/" + +i={0,1} +w(f) = 2*pi*f +rad(deg) = deg * pi / 180.0 +deg(rad) = arg (rad) * 180.0 / pi +z(real,imag) = real + i * imag + +set xrange [20:101000] +set logscale x +set xlabel "Frequenza [Hz]" +set ylabel "Modulo [ohm]" +set logscale y +#set ytics 1000 nomirror tc lt 6 font ",13" +set y2label "Fase [deg]" +set y2tics 20 nomirror tc lt 2 font ",13" +set xtics rotate +set grid +set key font ",12" + +fit_start = 50 +fit_end = 100000 + +# modello impedenza (LC parallelo) +z(x) = (1/(rs + i*w(x)*l) + (i*w(x)*cp))**-1 +# rapporto V2/V1 del partitore +t(x) = r / ( r + z(x)) + +# Kwnon value +r = 4600 + +# Initial guess +rs = 5810 +cp = 1e-10 +l = 2 + +set multiplot layout 5,1 title titolo + +in = "single_coil.txt" +fit [fit_start:fit_end] abs(t(x)) in u 1:($3/$2) via l,cp, rs +set label 1 sprintf("l=%.2f H \t cp=%.2e F \t rs=%.0f ohm",l,cp,rs) at graph 0.02, 0.15, 0 left font ",10" +set label 2 sprintf("Fit from %.0e to %.0e Hz - reduced chisquare: %1.1e",fit_start,fit_end,FIT_STDFIT*FIT_STDFIT) at graph 0.02, 0.1, 0 left font ",10" +plot abs(z(x)) t "single coil - modulo" lt 6 lw 2 axes x1y1, -deg(z(x)) t "fase" axes x1y2 + +in = "humbucker_B_1.txt" +fit [fit_start:fit_end] abs(t(x)) in u 1:($3/$2) via l,cp, rs +set label 1 sprintf("l=%.2f H \t cp=%.2e F \t rs=%.0f ohm",l,cp,rs) at graph 0.02, 0.15, 0 left font ",10" +set label 2 sprintf("Fit from %.0e to %.0e Hz - reduced chisquare: %1.1e",fit_start,fit_end,FIT_STDFIT*FIT_STDFIT) at graph 0.02, 0.1, 0 left font ",10" +plot abs(z(x)) t "humbucker (coil 1) - modulo" lt 6 lw 2 axes x1y1, -deg(z(x)) t "fase" axes x1y2 + +in = "humbucker_B_2.txt" +fit [fit_start:fit_end] abs(t(x)) in u 1:($3/$2) via l,cp, rs +set label 1 sprintf("l=%.2f H \t cp=%.2e F \t rs=%.0f ohm",l,cp,rs) at graph 0.02, 0.15, 0 left font ",10" +set label 2 sprintf("Fit from %.0e to %.0e Hz - reduced chisquare: %1.1e",fit_start,fit_end,FIT_STDFIT*FIT_STDFIT) at graph 0.02, 0.1, 0 left font ",10" +plot abs(z(x)) t "humbucker (coil 2) - modulo" lt 6 lw 2 axes x1y1, -deg(z(x)) t "fase" axes x1y2 + +in = "humbucker_B_3.txt" +fit [fit_start:fit_end] abs(t(x)) in u 1:($3/$2) via l,cp, rs +set label 1 sprintf("l=%.2f H \t cp=%.2e F \t rs=%.0f ohm",l,cp,rs) at graph 0.02, 0.15, 0 left font ",10" +set label 2 sprintf("Fit from %.0e to %.0e Hz - reduced chisquare: %1.1e",fit_start,fit_end,FIT_STDFIT*FIT_STDFIT) at graph 0.02, 0.1, 0 left font ",10" +plot abs(z(x)) t "humbucker (parallelo) - modulo" lt 6 lw 2 axes x1y1, -deg(z(x)) t "fase" axes x1y2 + +in = "humbucker_B_4.txt" +fit [fit_start:fit_end] abs(t(x)) in u 1:($3/$2) via l,cp, rs +set label 1 sprintf("l=%.2f H \t cp=%.2e F \t rs=%.0f ohm",l,cp,rs) at graph 0.02, 0.15, 0 left font ",10" +set label 2 sprintf("Fit from %.0e to %.0e Hz - reduced chisquare: %1.1e",fit_start,fit_end,FIT_STDFIT*FIT_STDFIT) at graph 0.02, 0.1, 0 left font ",10" +plot abs(z(x)) t "humbucker (serie) - modulo" lt 6 lw 2 axes x1y1, -deg(z(x)) t "fase" axes x1y2 + +unset multiplot +set output diff --git a/complex_impedance/impedenza_comp_20-20K.gnuplot b/complex_impedance/impedenza_comp_20-20K.gnuplot new file mode 100644 index 0000000..bf4ddc8 --- /dev/null +++ b/complex_impedance/impedenza_comp_20-20K.gnuplot @@ -0,0 +1,122 @@ +# Gnuplot script to fit an plot complex impedence +# gnuplot -c "AP.gnuplot" "" "" + +set output 'confronto_20-20K.svg' +titolo = "Confronto impedenze (20-20KHz)" + +set terminal svg size 1200,2000 mouse jsdir "https://devmsg.addns.org/public/pickup/gnuplot_js/" + +i={0,1} +w(f) = 2*pi*f +rad(deg) = deg * pi / 180.0 +deg(rad) = arg (rad) * 180.0 / pi +z(real,imag) = real + i * imag + +set xrange [20:20000] +set logscale x +set xlabel "Frequenza [Hz]" + +set xtics rotate +set grid +set key font ",12" + +fit_start = 50 +fit_end = 100000 + +# modello impedenza (LC parallelo) +z(x) = (1/(rs + i*w(x)*l) + (i*w(x)*cp))**-1 +# rapporto V2/V1 del partitore +t(x) = r / ( r + z(x)) + +# Kwnon value +r = 4600 + +# Initial guess +rs = 5810 +cp = 1e-10 +l = 2 + + +in = "single_coil.txt" +fit [fit_start:fit_end] abs(t(x)) in u 1:($3/$2) via l,cp, rs + +# modello impedenza (LC parallelo) +z1(x) = (1/(rs1 + i*w(x)*l1) + (i*w(x)*cp1))**-1 +# rapporto V2/V1 del partitore +t1(x) = r / ( r + z1(x)) + +# Kwnon value +r = 4600 + +# Initial guess +rs1 = 5810 +cp1 = 1e-10 +l1 = 2 + +in = "humbucker_B_1.txt" +fit [fit_start:fit_end] abs(t1(x)) in u 1:($3/$2) via l1,cp1,rs1 + + + + +in = "humbucker_B_2.txt" +# modello impedenza (LC parallelo) +z2(x) = (1/(rs2 + i*w(x)*l2) + (i*w(x)*cp2))**-1 +# rapporto V2/V1 del partitore +t2(x) = r / ( r + z2(x)) + +# Kwnon value +r = 4600 + +# Initial guess +rs2 = 5810 +cp2 = 1e-10 +l2 = 2 + +fit [fit_start:fit_end] abs(t2(x)) in u 1:($3/$2) via l2,cp2,rs2 + +in = "humbucker_B_3.txt" +# modello impedenza (LC parallelo) +z3(x) = (1/(rs3 + i*w(x)*l3) + (i*w(x)*cp3))**-1 +# rapporto V2/V1 del partitore +t3(x) = r / ( r + z3(x)) + +# Kwnon value +r = 4600 + +# Initial guess +rs3 = 5810 +cp3 = 1e-10 +l3 = 2 + + +fit [fit_start:fit_end] abs(t3(x)) in u 1:($3/$2) via l3,cp3,rs3 + + +in = "humbucker_B_4.txt" +z4(x) = (1/(rs4 + i*w(x)*l4) + (i*w(x)*cp4))**-1 +# rapporto V2/V1 del partitore +t4(x) = r / ( r + z4(x)) + +# Kwnon value +r = 4600 + +# Initial guess +rs4 = 5810 +cp4 = 1e-10 +l4 = 2 +fit [fit_start:fit_end] abs(t4(x)) in u 1:($3/$2) via l4,cp4,rs4 + +set multiplot layout 2,1 title titolo +set ylabel "Modulo [ohm]" +set logscale y +plot abs(z(x)) t "single coil - modulo" lt 1 lw 2, abs(z1(x)) t "humbucker (coil 1) - modulo" lt 2 lw 2, abs(z2(x)) t "humbucker (coil 2) - modulo" lt 3 lw 2, abs(z3(x)) t "humbucker (parallelo) - modulo" lt 4 lw 2, abs(z4(x)) t "humbucker (serie) - modulo" lt 6 lw 2 + +set ylabel "Fase [deg]" +set ytics 20 nomirror tc lt 2 font ",13" +unset logscale y +plot -deg(z(x)) t "single coil - fase" lt 1 lw 2, -deg(z1(x)) t "humbucker (coil 1) - fase" lt 2 lw 2, -deg(z2(x)) t "humbucker (coil 2) - fase" lt 3 lw 2, -deg(z3(x)) t "humbucker (parallelo) - fase" lt 4 lw 2, -deg(z4(x)) t "humbucker (serie) - fase" lt 6 lw 2 + +unset multiplot + +set output diff --git a/complex_impedance/measure_Z.sh b/complex_impedance/measure_Z.sh new file mode 100755 index 0000000..3d888b1 --- /dev/null +++ b/complex_impedance/measure_Z.sh @@ -0,0 +1,113 @@ +#!/bin/bash +# Read data from Rigol DS1054Z oscilloscope via LXI interface +# usage: ./measure_z.sh + +# The function "com" sends data to Rigol via LXI interface and gets the reply. +# Refer to the RIGOL Programming Guide - MSO1000Z/DS1000Z Series Digital Oscilloscope + +function com { + reply=$(echo "$1" | nc 192.168.2.3 5555) +} + +out_file="/home/giulio/measures/$1.txt" + +printf "# %s \n" "$(date)" > "$out_file" +printf "#Freq (Hz) \t V1 (V) \t V2 (V) \t Phase shift (deg) \n" >> "$out_file" + +# Average 4 acquisitions +com ":ACQuire:TYPE AVERages" +com ":ACQuire:AVERages 4" + +for((;;)) +do + # Measure period of input waveform (channel 2) + com ":MEASure:ITEM? PERiod,CHANnel1" + adj_period="$reply" + + # Get orizontal timescale + com ":TIMebase:MAIN:SCALe?" + adj_ts="$reply" + + # Verify if period is too short for the current timescale. AWK is used because it understands scientific notation + check=$(awk -v period="${adj_period}" -v ts="${adj_ts}" 'BEGIN { print (period < 2*ts) ? "1" : "0" }') + if [ "$check" -eq 1 ] + # Decrease timescale, considering that in YT mode range is from 5ns/div to 50s/div in 1-2-5 step + then + echo "Decreasing timescale" + ending=$(echo "$adj_ts" | awk -F 'e' '{print substr($1, length($1), 1)}') + if [ "$ending" -eq 1 ] #1 + then + new_ts=$(awk -v ts="${adj_ts}" 'BEGIN { printf ("%.10f\n",ts/2) }') + elif [ "$ending" -eq 2 ] #2 + then + new_ts=$(awk -v ts="${adj_ts}" 'BEGIN { printf ("%.10f\n",ts/2) }') + else #5 + new_ts=$(awk -v ts="${adj_ts}" 'BEGIN { printf ("%.10f\n",2*ts/5) }') + fi + com ":TIMebase:MAIN:SCALe $new_ts" + fi + + # Measure amplitude of input waveform (channel 2) + com ":MEASure:ITEM? VMAX,CHANnel2" + adj_ampl="$reply" + # Get vertical scale + com ":CHANnel2:SCALe?" + adj_as="$reply" + + # Verify if amplitude is too low for the current vertical scale. AWK is used because it understands scientific notation + check_L=$(awk -v ampl="${adj_ampl}" -v as="${adj_as}" 'BEGIN { print (ampl < as) ? "1" : "0" }') + if [ "$check_L" -eq 1 ] + # Decrease vertical scale, in 1-2-5 step, namely 10mV, 20mV, 50mV, 100mV...10V + then + echo "Decreasing vertical scale" + ending=$(echo "$adj_as" | awk -F 'e' '{print substr($1, length($1), 1)}') + if [ "$ending" -eq 1 ] #1 + then + new_as=$(awk -v as="${adj_as}" 'BEGIN { printf ("%.10f\n",as/2) }') + elif [ "$ending" -eq 2 ] #2 + then + new_as=$(awk -v as="${adj_as}" 'BEGIN { printf ("%.10f\n",as/2) }') + else #5 + new_as=$(awk -v as="${adj_as}" 'BEGIN { printf ("%.10f\n",2*as/5) }') + fi + com ":CHANnel2:SCALe $new_as" + fi + + check_H=$(awk -v ampl="${adj_ampl}" -v as="${adj_as}" 'BEGIN { print (ampl > 3*as) ? "1" : "0" }') + if [ "$check_H" -eq 1 ] + # Increase vertical scale, in 1-2-5 step, namely 10mV, 20mV, 50mV, 100mV...10V + then + echo "Increasing vertical scale" + ending=$(echo "$adj_as" | awk -F 'e' '{print substr($1, length($1), 1)}') + if [ "$ending" -eq 1 ] #1 + then + new_as=$(awk -v as="${adj_as}" 'BEGIN { printf ("%.10f\n",as*2) }') + elif [ "$ending" -eq 2 ] #2 + then + new_as=$(awk -v as="${adj_as}" 'BEGIN { printf ("%.10f\n",5*as/2) }') + else #5 + new_as=$(awk -v as="${adj_as}" 'BEGIN { printf ("%.10f\n",10*as/5) }') + fi + com ":CHANnel2:SCALe $new_as" + fi + + # Measure frequency + com ":MEASure:ITEM? FREQuency,CHANnel1" + freq="$reply" + + # Measure amplitudes + com ":MEASure:ITEM? VMAX,CHANnel1" + V1="$reply" + com ":MEASure:ITEM? VMAX,CHANnel2" + V2="$reply" + + # Measure phaseshift + com ":MEASure:SETup:PSA CHANnel1" + com ":MEASure:SETup:PSB CHANnel2" + com ":MEASure:ITEM? RPHase,CHANnel1,CHANnel2" + phase="$reply" + + printf "%s \t %s \t %s \t %s \n" "$freq" "$V1" "$V2" "$phase" >> "$out_file" + sleep 0.5 + +done diff --git a/complex_impedance/partitore.gnuplot b/complex_impedance/partitore.gnuplot new file mode 100644 index 0000000..dee314e --- /dev/null +++ b/complex_impedance/partitore.gnuplot @@ -0,0 +1,75 @@ +# Gnuplot script to fit an plot complex impedence +# gnuplot -c "partitore.gnuplot" + +set terminal svg size 1200,5000 mouse jsdir "https://devmsg.addns.org/public/pickup/gnuplot_js/" +set output 'partitore.svg' +titolo = "Analisi del partitore V2 - V1" + +i={0,1} +w(f) = 2*pi*f +rad(deg) = deg * pi / 180.0 +deg(rad) = arg (rad) * 180.0 / pi +z(real,imag) = real + i * imag + +# modello impedenza (LC parallelo) +z(x) = (1/(rs + i*w(x)*l) + (i*w(x)*cp))**-1 +# rapporto V2/V1 del partitore +t(x) = r / ( r + z(x)) + +set xrange [20:101000] +set logscale x +set xlabel "Frequenza [Hz]" +set ylabel "V2/V1" +set ytics 0.5 nomirror tc lt 6 font ",13" +set y2label "Fase [deg]" +set y2tics 20 nomirror tc lt 2 font ",13" +set xtics rotate +set grid +set key font ",12" + +fit_start = 50 +fit_end = 100000 + +# Kwnon value +r = 4600 + +# Initial guess +rs = 5810 +cp = 1e-10 +l = 2 + + +set multiplot layout 5,1 title titolo + +in = "single_coil.txt" +fit [fit_start:fit_end] abs(t(x)) in u 1:($3/$2) via l,cp, rs +set label 1 sprintf("l=%.2f H \t cp=%.2e F \t rs=%.0f ohm",l,cp,rs) at graph 0.02, 0.15, 0 left font ",12" +set label 2 sprintf("Fit from %.0e to %.0e Hz",fit_start,fit_end) at graph 0.02, 0.1, 0 left font ",12" +plot in u 1:($3/$2) t "Single coil" w p lt 6 lw 2 axes x1y1, abs(t(x)) axes x1y1 t "", in u 1:4 t "" w p lt 2 dt 3 lw 2 axes x1y2, -deg(t(x)) axes x1y2 t "" + +in = "humbucker_B_1.txt" +fit [fit_start:fit_end] abs(t(x)) in u 1:($3/$2) via l,cp, rs +set label 1 sprintf("l=%.2f H \t cp=%.2e F \t rs=%.0f ohm",l,cp,rs) at graph 0.02, 0.15, 0 left font ",12" +set label 2 sprintf("Fit from %.0e to %.0e Hz",fit_start,fit_end) at graph 0.02, 0.1, 0 left font ",12" +plot in u 1:($3/$2) t "Humbucker (coil 1)" w p lt 6 lw 2 axes x1y1, abs(t(x)) axes x1y1 t "", in u 1:4 t "" w p lt 2 dt 3 lw 2 axes x1y2, -deg(t(x)) axes x1y2 t "" + +in = "humbucker_B_2.txt" +fit [fit_start:fit_end] abs(t(x)) in u 1:($3/$2) via l,cp, rs +set label 1 sprintf("l=%.2f H \t cp=%.2e F \t rs=%.0f ohm",l,cp,rs) at graph 0.02, 0.15, 0 left font ",12" +set label 2 sprintf("Fit from %.0e to %.0e Hz",fit_start,fit_end) at graph 0.02, 0.1, 0 left font ",12" +plot in u 1:($3/$2) t "Humbucker (coil 2)" w p lt 6 lw 2 axes x1y1, abs(t(x)) axes x1y1 t "", in u 1:4 t "" w p lt 2 dt 3 lw 2 axes x1y2, -deg(t(x)) axes x1y2 t "" + +in = "humbucker_B_3.txt" +fit [fit_start:fit_end] abs(t(x)) in u 1:($3/$2) via l,cp, rs +set label 1 sprintf("l=%.2f H \t cp=%.2e F \t rs=%.0f ohm",l,cp,rs) at graph 0.02, 0.15, 0 left font ",12" +set label 2 sprintf("Fit from %.0e to %.0e Hz",fit_start,fit_end) at graph 0.02, 0.1, 0 left font ",12" +plot in u 1:($3/$2) t "Humbucker (parallelo)" w p lt 6 lw 2 axes x1y1, abs(t(x)) axes x1y1 t "", in u 1:4 t "" w p lt 2 dt 3 lw 2 axes x1y2, -deg(t(x)) axes x1y2 t "" + +in = "humbucker_B_4.txt" +fit [fit_start:fit_end] abs(t(x)) in u 1:($3/$2) via l,cp, rs +set label 1 sprintf("l=%.2f H \t cp=%.2e F \t rs=%.0f ohm",l,cp,rs) at graph 0.02, 0.15, 0 left font ",12" +set label 2 sprintf("Fit from %.0e to %.0e Hz",fit_start,fit_end) at graph 0.02, 0.1, 0 left font ",12" +plot in u 1:($3/$2) t "Humbucker (serie)" w p lt 6 lw 2 axes x1y1, abs(t(x)) axes x1y1 t "", in u 1:4 t "" w p lt 2 dt 3 lw 2 axes x1y2, -deg(t(x)) axes x1y2 t "" + +unset multiplot +set output diff --git a/complex_impedance/partitore.svg b/complex_impedance/partitore.svg new file mode 100755 index 0000000..3abc1a2 --- /dev/null +++ b/complex_impedance/partitore.svg @@ -0,0 +1,9231 @@ + + + +Gnuplot +Produced by GNUPLOT 5.2 patchlevel 6 + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Analisi del partitore V2 - V1 + + + + + + + + + + + + + + + 0 + + + + + + + + + + + + + 0.5 + + + + + + + + + + + + + 100 + + + + + + + + + + + + + 1000 + + + + + + + + + + + + + 10000 + + + + + + + + + + + + + 100000 + + + + + -100 + + + + + -80 + + + + + -60 + + + + + -40 + + + + + -20 + + + + + 0 + + + + + 20 + + + + + 40 + + + + + 60 + + + + + 80 + + + + + 100 + + + + + + + l=2.17 H cp=1.37e-10 F rs=5755 ohm + + + Fit from 5e+01 to 1e+05 Hz + + + + + V2/V1 + + + + + Fase [deg] + + + + + Frequenza [Hz] + + + + + Single coil + + + + + + Single coil + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + gnuplot_plot_2a + + + + + + gnuplot_plot_3a + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + gnuplot_plot_4a + + + + + + + + + + + + + + + + + + + + + + + + + + 0 + + + + + + + + + + + + + 0.5 + + + + + + + + + + + + + 100 + + + + + + + + + + + + + 1000 + + + + + + + + + + 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