diff --git a/2018-01-12 - Marc/index.html b/2018-01-12 - Marc/index.html index 4f12bb9..88167fd 100644 Binary files a/2018-01-12 - Marc/index.html and b/2018-01-12 - Marc/index.html differ diff --git a/2018-10-15 - Marc/index.html b/2018-10-15 - Marc/index.html index 5770286..8f36b79 100644 Binary files a/2018-10-15 - Marc/index.html and b/2018-10-15 - Marc/index.html differ diff --git a/Ground Motion/analyze_ground_motion.m b/Ground Motion/analyze_ground_motion.m deleted file mode 100644 index 697f317..0000000 --- a/Ground Motion/analyze_ground_motion.m +++ /dev/null @@ -1,31 +0,0 @@ -%% -clear; close all; clc; - -%% -id31 = load('ground_motion_psd.mat'); -id09 = load('id09_floor_september2018.mat'); -cern = load('ground_motion_dist.mat'); - -%% ID09 Measurements - Time Domain -figure; -hold on; -plot(id09.time3, 1e-6*id09.x_y_z(:, 1), 'DisplayName', 'dx'); -plot(id09.time3, 1e-6*id09.x_y_z(:, 2), 'DisplayName', 'dy'); -plot(id09.time3, 1e-6*id09.x_y_z(:, 3), 'DisplayName', 'dz'); -hold off; -xlabel('Time [s]'); ylabel('Velocity [$m/s$]'); -legend(); - -% Compute PSD of ID09 ground motion -[id09_pxx, id09_f] = pwelch(1e-6*id09.x_y_z(:, 1), hanning(ceil(length(1e-6*id09.x_y_z(:, 1))/10)), 0, [], 1/(id09.time3(end)/(length(id09.time3) - 1))); - -%% Compare PSD of Cern, ID09 and ID31 -figure; -hold on; -plot(cern.gm.freq, cern.gm.psd, 'DisplayName', 'CERN'); -plot(id31.freqs, id31.psd_dx, 'DisplayName', 'ID31'); -plot(id09_f, id09_pxx, 'DisplayName', 'ID09'); -hold off; -set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log'); -xlabel('Frequency [Hz]'); ylabel('PSD [$m^2/Hz$]'); -legend('Location', 'northeast'); diff --git a/Ground Motion/convert_txt_to_mat.m b/Ground Motion/convert_txt_to_mat.m deleted file mode 100644 index 945ebdb..0000000 --- a/Ground Motion/convert_txt_to_mat.m +++ /dev/null @@ -1,24 +0,0 @@ -%% -clear; close all; clc; - -%% -% 1st column is frequency in Hz -% Then PSD's in (um/s)^2/Hz) for the x,y,z axis respectively. - -%% -data = table2array(readtable('id31_camac_floor_PSD_october2014.txt')); - -%% -gm.freqs = data(:, 1); - -gm.psd_vx = 1e-12*data(:, 2); % [(um/s)^2/Hz] => [(m/s)^2/Hz] -gm.psd_vy = 1e-12*data(:, 3); % [(um/s)^2/Hz] => [(m/s)^2/Hz] -gm.psd_vz = 1e-12*data(:, 4); % [(um/s)^2/Hz] => [(m/s)^2/Hz] - -gm.psd_dx = gm.psd_vx./(2*pi*gm.freqs); % velocity to displacement [m^2/Hz] -gm.psd_dy = gm.psd_vy./(2*pi*gm.freqs); % velocity to displacement [m^2/Hz] -gm.psd_dz = gm.psd_vz./(2*pi*gm.freqs); % velocity to displacement [m^2/Hz] - - -%% -save('../../Matlab/data/signals/gm_esrf.mat', 'gm'); diff --git a/Ground Motion/data/ground_motion_psd.mat b/Ground Motion/data/ground_motion_psd.mat deleted file mode 100644 index 5e57f03..0000000 Binary files a/Ground Motion/data/ground_motion_psd.mat and /dev/null differ diff --git a/Ground Motion/data/id31_camac_floor_PSD_october2014.txt b/Ground Motion/data/id31_camac_floor_PSD_october2014.txt deleted file mode 100644 index 6ae9035..0000000 --- a/Ground 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none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name) - <> -#+end_src - -#+begin_src matlab :exports none :results silent :noweb yes - <> -#+end_src - -* Preprocessing of id31 ground motion measurement -#+begin_src matlab :exports code :results silent - data = table2array(readtable('./data/id31_camac_floor_PSD_october2014.txt')); -#+end_src - -The first column is the frequency vector in Hz. -#+begin_src matlab :exports code :results silent - gm.freqs = data(:, 1); -#+end_src - -The other colmns are the PSD of the ground velocity in $\frac{(\mu m/s)^2}{Hz}$ for the x,y,z axis. -It is converted to $\frac{(m/s)^2}{Hz}$. -#+begin_src matlab :exports code :results silent - gm.psd_vx = 1e-12*data(:, 2); - gm.psd_vy = 1e-12*data(:, 3); - gm.psd_vz = 1e-12*data(:, 4); -#+end_src - -Finally, we integrate the signal to obtain the power spectral density of the ground displacement. -#+begin_src matlab :results silent - gm.psd_dx = gm.psd_vx./(2*pi*gm.freqs); - gm.psd_dy = gm.psd_vy./(2*pi*gm.freqs); - gm.psd_dz = gm.psd_vz./(2*pi*gm.freqs); -#+end_src - -The pre-processed data are saved. -#+begin_src matlab :results silent - save('./data/gm_esrf.mat', 'gm'); -#+end_src - -* Plots -We load measurements made: -- at ID31 -- at ID09 -- at CERN - -#+begin_src matlab :results silent - id31 = load('./data/ground_motion_psd.mat'); - id09 = load('./data/id09_floor_september2018.mat'); - cern = load('./data/ground_motion_dist.mat'); -#+end_src - -** ID09 Measurements - Time Domain -#+begin_src matlab :results silent - figure; - hold on; - plot(id09.time3, 1e-6*id09.x_y_z(:, 1), 'DisplayName', 'dx'); - plot(id09.time3, 1e-6*id09.x_y_z(:, 2), 'DisplayName', 'dy'); - plot(id09.time3, 1e-6*id09.x_y_z(:, 3), 'DisplayName', 'dz'); - hold off; - xlabel('Time [s]'); ylabel('Velocity [$m/s$]'); - legend(); -#+end_src - -#+NAME: fig:id09_time_domain -#+HEADER: :tangle no :exports results :results raw :noweb yes -#+begin_src matlab :var filepath="figs/id09_time_domain.pdf" :var figsize="wide-tall" :post pdf2svg(file=*this*, ext="png") - <> -#+end_src - -#+NAME: fig:id09_time_domain -#+CAPTION: Time domain data - ID09 -#+RESULTS: fig:id09_time_domain -[[file:figs/id09_time_domain.png]] - - -** Compute PSD of ID09 ground motion -#+begin_src matlab :results silent - [id09_pxx, id09_f] = pwelch(1e-6*id09.x_y_z(:, 1), hanning(ceil(length(1e-6*id09.x_y_z(:, 1))/10)), 0, [], 1/(id09.time3(end)/(length(id09.time3) - 1))); -#+end_src - -** Compare PSD of Cern, ID09 and ID31 -#+begin_src matlab :results silent - figure; - hold on; - plot(cern.gm.freq, cern.gm.psd, 'DisplayName', 'CERN'); - plot(id31.freqs, id31.psd_dx, 'DisplayName', 'ID31'); - plot(id09_f, id09_pxx, 'DisplayName', 'ID09'); - hold off; - set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log'); - xlabel('Frequency [Hz]'); ylabel('PSD [$m^2/Hz$]'); - legend('Location', 'northeast'); -#+end_src - -#+NAME: fig:psd_comparison -#+HEADER: :tangle no :exports results :results raw :noweb yes -#+begin_src matlab :var filepath="figs/psd_comparison.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png") - <> -#+end_src - -#+NAME: fig:psd_comparison -#+CAPTION: Comparison of the PSD of ground motion -#+RESULTS: fig:psd_comparison -[[file:figs/psd_comparison.png]] diff --git a/actuators-sensors/index.html b/actuators-sensors/index.html index 33766e8..e00805f 100644 Binary files a/actuators-sensors/index.html and b/actuators-sensors/index.html differ diff --git a/disturbance-measurement/index.org b/disturbance-measurement/index.org index eb98677..d3570f7 100644 --- a/disturbance-measurement/index.org +++ b/disturbance-measurement/index.org @@ -114,7 +114,7 @@ We also take into account the gain of the electronics which is here set to be $6 #+begin_src matlab :results none G0_db = 60; % [dB] - G0 = 10^(60/G0_db); % [abs] + G0 = 10^(G0_db/20); % [abs] #+end_src We divide the ASD measured (in $\text{V}/\sqrt{\text{Hz}}$) by the gain of the voltage amplifier to obtain the ASD of the voltage across the geophone. diff --git a/ground-motion/figs/geophone_sensibility.png b/ground-motion/figs/geophone_sensibility.png new file mode 100644 index 0000000..6748a7e Binary files /dev/null and b/ground-motion/figs/geophone_sensibility.png differ diff --git a/ground-motion/figs/ground_motion_compare.png b/ground-motion/figs/ground_motion_compare.png new file mode 100644 index 0000000..1aa675c Binary files /dev/null and b/ground-motion/figs/ground_motion_compare.png differ diff --git a/ground-motion/figs/ground_motion_id31_asd_displacement.png b/ground-motion/figs/ground_motion_id31_asd_displacement.png new file mode 100644 index 0000000..306f0f7 Binary files /dev/null and b/ground-motion/figs/ground_motion_id31_asd_displacement.png differ diff --git a/ground-motion/figs/ground_motion_id31_asd_velocity.png b/ground-motion/figs/ground_motion_id31_asd_velocity.png new file mode 100644 index 0000000..b07b3ae Binary files /dev/null and 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ground-motion/figs/id09_time_domain.png diff --git a/ground-motion/figs/nohup.out b/ground-motion/figs/nohup.out new file mode 100644 index 0000000..af5d179 --- /dev/null +++ b/ground-motion/figs/nohup.out @@ -0,0 +1,3 @@ +invalid color string: rgba(50, 48, 47) + +(termite:1468): GLib-WARNING **: 17:39:09.552: GChildWatchSource: Exit status of a child process was requested but ECHILD was received by waitpid(). See the documentation of g_child_watch_source_new() for possible causes. diff --git a/Ground Motion/figs/psd_comparison.png b/ground-motion/figs/psd_comparison.png similarity index 100% rename from Ground Motion/figs/psd_comparison.png rename to ground-motion/figs/psd_comparison.png diff --git a/ground-motion/img/ground_motion_measurements.pdf b/ground-motion/img/ground_motion_measurements.pdf new file mode 100644 index 0000000..84ed484 Binary files /dev/null and b/ground-motion/img/ground_motion_measurements.pdf differ diff --git a/ground-motion/img/ground_motion_measurements.png b/ground-motion/img/ground_motion_measurements.png new file mode 100644 index 0000000..97189ac Binary files /dev/null and b/ground-motion/img/ground_motion_measurements.png differ diff --git a/ground-motion/img/nohup.out b/ground-motion/img/nohup.out new file mode 100644 index 0000000..307eced --- /dev/null +++ b/ground-motion/img/nohup.out @@ -0,0 +1,3 @@ +invalid color string: rgba(50, 48, 47) + +(termite:29687): GLib-WARNING **: 17:42:45.114: GChildWatchSource: Exit status of a child process was requested but ECHILD was received by waitpid(). See the documentation of g_child_watch_source_new() for possible causes. diff --git a/ground-motion/index.html b/ground-motion/index.html new file mode 100644 index 0000000..17276bc Binary files /dev/null and b/ground-motion/index.html differ diff --git a/ground-motion/index.org b/ground-motion/index.org new file mode 100644 index 0000000..0e5b58a --- /dev/null +++ b/ground-motion/index.org @@ -0,0 +1,280 @@ +#+TITLE: Ground Motion Measurements +#+SETUPFILE: ../config.org + +* Experimental Setup +The goal here is to compare the ground motion at the location of the micro-station (ID31 beamline at ESRF) with other measurements of the ground motion. + +This will also permit to confirm that the device use for the measurement (geophones, amplifiers, ADC) are working well and that the data processing is correct. + +One L22 geophone is put on the ID31 floor. +The signal is then filtered with a first order low pass filter with a cut-off frequency of $1kHz$. +Then the signal is amplified by a Voltage Amplifier with the following settings: +- AC/DC option set to DC +- Amplification of 60dB (1000) +- Low pass filter at the output with a cut-off frequency of $1kHz$ + +On figure [[fig:ground_motion_measurements]] is an overview of multiple measurements made at famous location. + +#+name: fig:ground_motion_measurements +#+caption: Power spectral density of ground vibration in the vertical direction at multiple locations ([[https://vibration.desy.de/][source]]) +#+attr_html: :width 800px +[[file:./img/ground_motion_measurements.png]] + +* Measurement Analysis + :PROPERTIES: + :header-args:matlab+: :tangle matlab/ground_meas_id31.m + :header-args:matlab+: :comments org :mkdirp yes + :END: + <> + +#+begin_src bash :exports none :results none + if [ matlab/ground_meas_id31.m -nt data/ground_meas_id31.zip ]; then + cp matlab/ground_meas_id31.m ground_meas_id31.m; + zip data/ground_meas_id31 \ + mat/data_028.mat \ + mat/id09_floor_september2018.mat \ + mat/ground_motion_dist.mat \ + ground_meas_id31.m + rm ground_meas_id31.m; + fi +#+end_src + +#+begin_note + All the files (data and Matlab scripts) are accessible [[file:data/ground_meas_id31.zip][here]]. +#+end_note + +** Matlab Init :noexport:ignore: +#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name) +<> +#+end_src + +#+begin_src matlab :exports none :results silent :noweb yes +<> +#+end_src + +** Load data +#+begin_src matlab + data = load('mat/data_028.mat', 'data'); data = data.data; +#+end_src + +** Time domain plots +#+begin_src matlab + figure; + hold on; + plot(data(:, 3), data(:, 1)); + hold off; + xlabel('Time [s]'); ylabel('Voltage [V]'); + xlim([0, 100]); +#+end_src + +#+NAME: fig:ground_motion_id31_time +#+HEADER: :tangle no :exports results :results value raw replace :noweb yes +#+begin_src matlab :var filepath="figs/ground_motion_id31_time.pdf" :var figsize="wide-normal" :post pdf2svg(file=*this*, ext="png") + <> +#+end_src + +#+NAME: fig:ground_motion_id31_time +#+CAPTION: Measurement of the ground motion - Time domain +#+RESULTS: fig:ground_motion_id31_time +[[file:figs/ground_motion_id31_time.png]] + +** Computation of the ASD of the measured voltage +#+begin_src matlab :results none + dt = data(2, 3) - data(1, 3); + + Fs = 1/dt; + win = hanning(ceil(10*Fs)); +#+end_src + +#+begin_src matlab :results none + [px_dc, f] = pwelch(data(:, 1), win, [], [], Fs); +#+end_src + +#+begin_src matlab :results none + figure; + hold on; + plot(f, sqrt(px_dc)); + hold off; + set(gca, 'xscale', 'log'); + set(gca, 'yscale', 'log'); + xlabel('Frequency [Hz]'); ylabel('Amplitude Spectral Density $\left[\frac{V}{\sqrt{Hz}}\right]$') + xlim([0.1, 500]); +#+end_src + +#+NAME: fig:ground_motion_id31_asd_volt +#+HEADER: :tangle no :exports results :results value raw replace :noweb yes +#+begin_src matlab :var filepath="figs/ground_motion_id31_asd_volt.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png") + <> +#+end_src + +#+NAME: fig:ground_motion_id31_asd_volt +#+CAPTION: Amplitude Spectral Density of the measured Voltage +#+RESULTS: fig:ground_motion_id31_asd_volt +[[file:figs/ground_motion_id31_asd_volt.png]] + +** Scaling to take into account the sensibility of the geophone and the voltage amplifier +The Geophone used are L22. Their sensibility is shown on figure [[fig:geophone_sensibility]]. + +#+begin_src matlab :results none + S0 = 88; % Sensitivity [V/(m/s)] + f0 = 2; % Cut-off frequency [Hz] + + S = S0*(s/2/pi/f0)/(1+s/2/pi/f0); +#+end_src + +#+begin_src matlab :results none :exports none + figure; + bodeFig({S}, logspace(-1, 2, 1000)); + ylabel('Amplitude $\left[\frac{V}{m/s}\right]$') +#+end_src + +#+NAME: fig:geophone_sensibility +#+HEADER: :tangle no :exports results :results value raw replace :noweb yes +#+begin_src matlab :var filepath="figs/geophone_sensibility.pdf" :var figsize="wide-normal" :post pdf2svg(file=*this*, ext="png") + <> +#+end_src + +#+NAME: fig:geophone_sensibility +#+CAPTION: Sensibility of the Geophone +#+RESULTS: fig:geophone_sensibility +[[file:figs/geophone_sensibility.png]] + +We also take into account the gain of the electronics which is here set to be $60dB$. + +#+begin_src matlab :results none + G0_db = 60; % [dB] + + G0 = 10^(G0_db/20); % [abs] +#+end_src + +We divide the ASD measured (in $\text{V}/\sqrt{\text{Hz}}$) by the gain of the voltage amplifier to obtain the ASD of the voltage across the geophone. +We further divide the result by the sensibility of the Geophone to obtain the ASD of the velocity in $m/s/\sqrt{Hz}$. + +#+begin_src matlab :results none + scaling = 1./squeeze(abs(freqresp(G0*S, f, 'Hz'))); +#+end_src + +** Computation of the ASD of the velocity and displacement +The ASD of the measured velocity is shown on figure [[fig:ground_motion_id31_asd_velocity]]. + +#+begin_src matlab :results none + figure; + hold on; + plot(f, sqrt(px_dc).*scaling); + hold off; + set(gca, 'xscale', 'log'); + set(gca, 'yscale', 'log'); + xlabel('Frequency [Hz]'); ylabel('ASD of the measured Velocity $\left[\frac{m/s}{\sqrt{Hz}}\right]$') + xlim([0.1, 500]); +#+end_src + +#+NAME: fig:ground_motion_id31_asd_velocity +#+HEADER: :tangle no :exports results :results value raw replace :noweb yes +#+begin_src matlab :var filepath="figs/ground_motion_id31_asd_velocity.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png") + <> +#+end_src + +#+NAME: fig:ground_motion_id31_asd_velocity +#+CAPTION: Amplitude Spectral Density of the Velocity +#+RESULTS: fig:ground_motion_id31_asd_velocity +[[file:figs/ground_motion_id31_asd_velocity.png]] + +We also plot the ASD in displacement (figure [[fig:ground_motion_id31_asd_displacement]]); + +#+begin_src matlab :results none + figure; + hold on; + plot(f, (sqrt(px_dc).*scaling)./(2*pi*f)); + hold off; + set(gca, 'xscale', 'log'); set(gca, 'yscale', 'log'); + xlabel('Frequency [Hz]'); ylabel('ASD of the displacement $\left[\frac{m}{\sqrt{Hz}}\right]$') + xlim([0.1, 500]); +#+end_src + +#+NAME: fig:ground_motion_id31_asd_displacement +#+HEADER: :tangle no :exports results :results value raw replace :noweb yes +#+begin_src matlab :var filepath="figs/ground_motion_id31_asd_displacement.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png") + <> +#+end_src + +#+NAME: fig:ground_motion_id31_asd_displacement +#+CAPTION: Amplitude Spectral Density of the Displacement +#+RESULTS: fig:ground_motion_id31_asd_displacement +[[file:figs/ground_motion_id31_asd_displacement.png]] + +And we also plot the PSD of the displacement in $\frac{{\mu u}^2}{Hz}$ as it is a usual unit used (figure [[fig:ground_motion_id31_psd_displacement]]). +One can then compare this curve with the figure [[fig:ground_motion_measurements]]. + +#+begin_src matlab :results none + figure; + hold on; + plot(f, ((sqrt(px_dc).*scaling)./(2*pi*f).*1e6).^2); + hold off; + set(gca, 'xscale', 'log'); + set(gca, 'yscale', 'log'); + xlabel('Frequency [Hz]'); ylabel('PSD of the measured displacement $\left[\frac{{ \mu m }^2}{Hz}\right]$') + xlim([0.1, 500]); +#+end_src + +#+NAME: fig:ground_motion_id31_psd_displacement +#+HEADER: :tangle no :exports results :results value raw replace :noweb yes +#+begin_src matlab :var filepath="figs/ground_motion_id31_psd_displacement.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png") + <> +#+end_src + +#+NAME: fig:ground_motion_id31_psd_displacement +#+CAPTION: Power Spectral Density of the measured displacement +#+RESULTS: fig:ground_motion_id31_psd_displacement +[[file:figs/ground_motion_id31_psd_displacement.png]] + +** Comparison with other measurements of ground motion +Now we will compare with other measurements. + +*** Load the measurement data +First we load the measurement data. +Here we have one measurement of the floor motion made at the ESRF in 2018, and one measurement made at CERN. +#+begin_src matlab + id09 = load('./mat/id09_floor_september2018.mat'); + cern = load('./mat/ground_motion_dist.mat'); +#+end_src + +*** Compute PSD of the measurements +We compute the Power Spectral Densities of the measurements. +#+begin_src matlab + Fs_id09 = 1/(id09.time3(2)-id09.time3(1)); + win_id09 = hanning(ceil(10*Fs_id09)); + [id09_pxx, id09_f] = pwelch(1e-6*id09.x_y_z(:, 3), win_id09, [], [], Fs_id09); +#+end_src + +#+begin_src matlab + Fs_cern = 1/(cern.gm.time(2)-cern.gm.time(1)); + win_cern = hanning(ceil(10*Fs_cern)); + [cern_pxx, cern_f] = pwelch(cern.gm.signal, win_cern, [], [], Fs_cern); +#+end_src + +*** Compare PSD of Cern, ID09 and ID31 +And we compare all the measurements (figure [[fig:ground_motion_compare]]). + +#+begin_src matlab :results silent + figure; + hold on; + plot(id09_f, id09_pxx, 'DisplayName', 'ID09'); + plot(cern_f, cern_pxx, 'DisplayName', 'CERN'); + plot(f, ((sqrt(px_dc).*scaling)./(2*pi*f)).^2, 'k', 'DisplayName', 'ID31'); + hold off; + set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log'); + xlabel('Frequency [Hz]'); ylabel('PSD [$m^2/Hz$]'); + legend('Location', 'northeast'); + xlim([0.1, 500]); +#+end_src + +#+NAME: fig:ground_motion_compare +#+HEADER: :tangle no :exports results :results value raw replace :noweb yes +#+begin_src matlab :var filepath="figs/ground_motion_compare.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png") + <> +#+end_src + +#+NAME: fig:ground_motion_compare +#+CAPTION: Comparison of the PSD of the ground motion measured at different location +#+RESULTS: fig:ground_motion_compare +[[file:figs/ground_motion_compare.png]] diff --git a/Ground Motion/mat/data_027.mat b/ground-motion/mat/data_027.mat similarity index 100% rename from Ground Motion/mat/data_027.mat rename to ground-motion/mat/data_027.mat diff --git a/Ground Motion/mat/data_028.mat b/ground-motion/mat/data_028.mat similarity index 100% rename from Ground Motion/mat/data_028.mat rename to ground-motion/mat/data_028.mat diff --git a/Ground Motion/data/ground_motion_dist.mat b/ground-motion/mat/ground_motion_dist.mat similarity index 100% rename from Ground Motion/data/ground_motion_dist.mat rename to ground-motion/mat/ground_motion_dist.mat diff --git a/Ground Motion/data/id09_floor_september2018.mat b/ground-motion/mat/id09_floor_september2018.mat similarity index 100% rename from Ground Motion/data/id09_floor_september2018.mat rename to ground-motion/mat/id09_floor_september2018.mat diff --git a/ground-motion/matlab/ground_meas_id31.m b/ground-motion/matlab/ground_meas_id31.m new file mode 100644 index 0000000..0a9ec39 --- /dev/null +++ b/ground-motion/matlab/ground_meas_id31.m @@ -0,0 +1,152 @@ +%% Clear Workspace and Close figures +clear; close all; clc; + +%% Intialize Laplace variable +s = zpk('s'); + +% Load data + +data = load('mat/data_028.mat', 'data'); data = data.data; + +% Time domain plots + +figure; +hold on; +plot(data(:, 3), data(:, 1)); +hold off; +xlabel('Time [s]'); ylabel('Voltage [V]'); +xlim([0, 100]); + +% Computation of the ASD of the measured voltage + +dt = data(2, 3) - data(1, 3); + +Fs = 1/dt; +win = hanning(ceil(10*Fs)); + +[px_dc, f] = pwelch(data(:, 1), win, [], [], Fs); + +figure; +hold on; +plot(f, sqrt(px_dc)); +hold off; +set(gca, 'xscale', 'log'); +set(gca, 'yscale', 'log'); +xlabel('Frequency [Hz]'); ylabel('Amplitude Spectral Density $\left[\frac{V}{\sqrt{Hz}}\right]$') +xlim([0.1, 500]); + +% Scaling to take into account the sensibility of the geophone and the voltage amplifier +% The Geophone used are L22. Their sensibility is shown on figure [[fig:geophone_sensibility]]. + + +S0 = 88; % Sensitivity [V/(m/s)] +f0 = 2; % Cut-off frequency [Hz] + +S = S0*(s/2/pi/f0)/(1+s/2/pi/f0); + +figure; +bodeFig({S}, logspace(-1, 2, 1000)); +ylabel('Amplitude $\left[\frac{V}{m/s}\right]$') + + + +% #+NAME: fig:geophone_sensibility +% #+CAPTION: Sensibility of the Geophone +% #+RESULTS: fig:geophone_sensibility +% [[file:figs/geophone_sensibility.png]] + +% We also take into account the gain of the electronics which is here set to be $60dB$. + + +G0_db = 60; % [dB] + +G0 = 10^(G0_db/20); % [abs] + + + +% We divide the ASD measured (in $\text{V}/\sqrt{\text{Hz}}$) by the gain of the voltage amplifier to obtain the ASD of the voltage across the geophone. +% We further divide the result by the sensibility of the Geophone to obtain the ASD of the velocity in $m/s/\sqrt{Hz}$. + + +scaling = 1./squeeze(abs(freqresp(G0*S, f, 'Hz'))); + +% Computation of the ASD of the velocity +% The ASD of the measured velocity is shown on figure [[fig:ground_motion_id31_asd_velocity]]. + + +figure; +hold on; +plot(f, sqrt(px_dc).*scaling); +hold off; +set(gca, 'xscale', 'log'); +set(gca, 'yscale', 'log'); +xlabel('Frequency [Hz]'); ylabel('ASD of the measured Velocity $\left[\frac{m/s}{\sqrt{Hz}}\right]$') +xlim([0.1, 500]); + + + +% #+NAME: fig:ground_motion_id31_asd_velocity +% #+CAPTION: Amplitude Spectral Density of the Velocity +% #+RESULTS: fig:ground_motion_id31_asd_velocity +% [[file:figs/ground_motion_id31_asd_velocity.png]] + +% We also plot the ASD in displacement (figure [[fig:ground_motion_id31_asd_displacement]]); + + +figure; +hold on; +plot(f, (sqrt(px_dc).*scaling)./(2*pi*f)); +hold off; +set(gca, 'xscale', 'log'); set(gca, 'yscale', 'log'); +xlabel('Frequency [Hz]'); ylabel('ASD of the displacement $\left[\frac{m}{\sqrt{Hz}}\right]$') +xlim([0.1, 500]); + + + +% #+NAME: fig:ground_motion_id31_asd_displacement +% #+CAPTION: Amplitude Spectral Density of the Displacement +% #+RESULTS: fig:ground_motion_id31_asd_displacement +% [[file:figs/ground_motion_id31_asd_displacement.png]] +% And also in $\frac{{\mu u}^2}{Hz}$ (figure [[fig:ground_motion_id31_psd_displacement]]). + +figure; +hold on; +plot(f, ((sqrt(px_dc).*scaling)./(2*pi*f).*1e6).^2); +hold off; +set(gca, 'xscale', 'log'); +set(gca, 'yscale', 'log'); +xlabel('Frequency [Hz]'); ylabel('PSD of the measured displacement $\left[\frac{{ \mu m }^2}{Hz}\right]$') +xlim([0.1, 500]); + +% Load the measurement data +% First we load the measurement data. +% Here we have one measurement of the floor motion made at the ESRF in 2018, and one measurement made at CERN. + +id09 = load('./mat/id09_floor_september2018.mat'); +cern = load('./mat/ground_motion_dist.mat'); + +% Compute PSD of the measurements +% We compute the Power Spectral Densities of the measurements. + +Fs_id09 = 1/(id09.time3(2)-id09.time3(1)); +win_id09 = hanning(ceil(10*Fs_id09)); +[id09_pxx, id09_f] = pwelch(1e-6*id09.x_y_z(:, 3), win_id09, [], [], Fs_id09); + +Fs_cern = 1/(cern.gm.time(2)-cern.gm.time(1)); +win_cern = hanning(ceil(10*Fs_cern)); +[cern_pxx, cern_f] = pwelch(cern.gm.signal, win_cern, [], [], Fs_cern); + +% Compare PSD of Cern, ID09 and ID31 +% And we compare all the measurements (figure [[fig:ground_motion_compare]]). + + +figure; +hold on; +plot(id09_f, id09_pxx, 'DisplayName', 'ID09'); +plot(cern_f, cern_pxx, 'DisplayName', 'CERN'); +plot(f, ((sqrt(px_dc).*scaling)./(2*pi*f)).^2, 'k', 'DisplayName', 'ID31'); +hold off; +set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log'); +xlabel('Frequency [Hz]'); ylabel('PSD [$m^2/Hz$]'); +legend('Location', 'northeast'); +xlim([0.1, 500]); diff --git a/Ground Motion/readme.org b/ground-motion/readme.org similarity index 100% rename from Ground Motion/readme.org rename to ground-motion/readme.org diff --git a/huddle-test-geophones/index.html b/huddle-test-geophones/index.html index b5db6f7..f28bc61 100644 Binary files a/huddle-test-geophones/index.html and b/huddle-test-geophones/index.html differ diff --git a/huddle-test-geophones/index.org b/huddle-test-geophones/index.org index 7f6d211..5018510 100644 --- a/huddle-test-geophones/index.org +++ b/huddle-test-geophones/index.org @@ -177,7 +177,7 @@ We also take into account the gain of the electronics which is here set to be $6 #+begin_src matlab :results none G0_db = 60; % [dB] - G0 = 10^(60/G0_db); % [abs] + G0 = 10^(G0_db/20); % [abs] #+end_src We divide the ASD measured (in $\text{V}/\sqrt{\text{Hz}}$) by the gain of the voltage amplifier to obtain the ASD of the voltage across the geophone. diff --git a/huddle-test-geophones/matlab/huddle_test_signal_processing.m b/huddle-test-geophones/matlab/huddle_test_signal_processing.m index 7b1ad1a..fa39678 100644 --- a/huddle-test-geophones/matlab/huddle_test_signal_processing.m +++ b/huddle-test-geophones/matlab/huddle_test_signal_processing.m @@ -104,7 +104,7 @@ ylabel('Amplitude $\left[\frac{V}{m/s}\right]$') G0_db = 60; % [dB] -G0 = 10^(60/G0_db); % [abs] +G0 = 10^(G0_db/20); % [abs]