measure LF FRF

This commit is contained in:
Thomas Dehaeze 2021-06-08 16:51:38 +02:00
parent fe269b02b4
commit 00a7b353fa
11 changed files with 102 additions and 53 deletions

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@ -9,7 +9,9 @@ addpath('./src/');
% Test with one APA % Test with one APA
%% Load measurement data for APA number 1 %% Load measurement data for APA number 1
load(sprintf('mat/frf_data_%i_sweep_lf.mat', 2), 't', 'Va', 'Vs', 'de', 'da'); strut_number = 1;
% load(sprintf('mat/frf_data_exc_strut_%i_noise_lf.mat', strut_number), 't', 'Va', 'Vs', 'de');
load(sprintf('mat/frf_data_exc_strut_%i_noise_hf.mat', strut_number), 't', 'Va', 'Vs', 'de');
% Compute transfer functions: % Compute transfer functions:
@ -18,31 +20,17 @@ Fs = 1/Ts;
win = hanning(ceil(1*Fs)); % Hannning Windows win = hanning(ceil(1*Fs)); % Hannning Windows
%% DVF
[G_dvf, f] = tfestimate(Va, de, win, [], [], 1/Ts); [G_dvf, f] = tfestimate(Va, de, win, [], [], 1/Ts);
[G_d, ~] = tfestimate(Va, da, win, [], [], 1/Ts);
[G_iff, ~] = tfestimate(Va, Vs, win, [], [], 1/Ts);
[coh_dvf, ~] = mscohere(Va, de, win, [], [], 1/Ts);
[coh_d, ~] = mscohere(Va, da, win, [], [], 1/Ts);
[coh_iff, ~] = mscohere(Va, Vs, win, [], [], 1/Ts);
%%
figure; figure;
hold on; tiledlayout(3, 1, 'TileSpacing', 'None', 'Padding', 'None');
plot(f, coh_dvf);
plot(f, coh_d);
plot(f, coh_iff);
hold off;
set(gca, 'XScale', 'log');
%% ax1 = nexttile([2,1]);
figure;
tiledlayout(2, 1, 'TileSpacing', 'None', 'Padding', 'None');
ax1 = nexttile;
hold on; hold on;
plot(f, abs(G_dvf)); for i =1:6
plot(f, abs(G_d)); plot(f, abs(G_dvf(:,i)));
end
hold off; hold off;
set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log'); set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log');
ylabel('Amplitude $V_{out}/V_{in}$ [V/V]'); set(gca, 'XTickLabel',[]); ylabel('Amplitude $V_{out}/V_{in}$ [V/V]'); set(gca, 'XTickLabel',[]);
@ -50,8 +38,9 @@ hold off;
ax2 = nexttile; ax2 = nexttile;
hold on; hold on;
plot(f, 180/pi*angle(G_dvf)); for i =1:6
plot(f, 180/pi*angle(G_d)); plot(f, 180/pi*angle(G_dvf(:,i)));
end
hold off; hold off;
set(gca, 'XScale', 'log'); set(gca, 'YScale', 'lin'); set(gca, 'XScale', 'log'); set(gca, 'YScale', 'lin');
xlabel('Frequency [Hz]'); ylabel('Phase [deg]'); xlabel('Frequency [Hz]'); ylabel('Phase [deg]');
@ -61,29 +50,58 @@ yticks(-360:90:360);
linkaxes([ax1,ax2],'x'); linkaxes([ax1,ax2],'x');
xlim([5, 5e3]); xlim([5, 5e3]);
figure; %% IFF
tiledlayout(2, 1, 'TileSpacing', 'None', 'Padding', 'None'); [G_iff, f] = tfestimate(Va, Vs, win, [], [], 1/Ts);
ax1 = nexttile; figure;
plot(f, abs(G_iff)); tiledlayout(3, 1, 'TileSpacing', 'None', 'Padding', 'None');
ax1 = nexttile([2,1]);
hold on;
for i =1:6
plot(f, abs(G_iff(:,i)));
end
hold off;
set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log'); set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log');
ylabel('Amplitude $V_{out}/V_{in}$ [V/V]'); set(gca, 'XTickLabel',[]); ylabel('Amplitude $V_{out}/V_{in}$ [V/V]'); set(gca, 'XTickLabel',[]);
hold off; hold off;
ax2 = nexttile; ax2 = nexttile;
plot(f, 180/pi*angle(G_iff)); hold on;
for i =1:6
plot(f, 180/pi*angle(G_iff(:,i)));
end
hold off;
set(gca, 'XScale', 'log'); set(gca, 'YScale', 'lin'); set(gca, 'XScale', 'log'); set(gca, 'YScale', 'lin');
xlabel('Frequency [Hz]'); ylabel('Phase [deg]'); xlabel('Frequency [Hz]'); ylabel('Phase [deg]');
hold off; hold off;
yticks(-360:90:360); yticks(-360:90:360);
linkaxes([ax1,ax2],'x'); linkaxes([ax1,ax2],'x');
xlim([0.1, 10]); xlim([5, 5e3]);
% Comparison of all APA %%
[coh_dvf, ~] = mscohere(Va, de, win, [], [], 1/Ts);
[coh_iff, ~] = mscohere(Va, Vs, win, [], [], 1/Ts);
%% Load all the measurements %%
meas_data = {}; figure;
for i = 1:7 hold on;
meas_data(i) = {load(sprintf('mat/frf_data_%i.mat', i), 't', 'Va', 'Vs', 'de', 'da')}; for i =1:6
plot(f, coh_dvf(:,i));
end end
hold off;
set(gca, 'XScale', 'log'); set(gca, 'YScale', 'lin');
xlabel('Frequency [Hz]'); ylabel('Coherence');
ylim([0,1]);
%%
figure;
hold on;
for i =1:6
plot(f, coh_iff(:,i));
end
hold off;
set(gca, 'XScale', 'log'); set(gca, 'YScale', 'lin');
xlabel('Frequency [Hz]'); ylabel('Coherence');
ylim([0,1]);

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@ -17,19 +17,17 @@ close(f);
data = SimulinkRealTime.utils.getFileScopeData('data/data.dat').data; data = SimulinkRealTime.utils.getFileScopeData('data/data.dat').data;
da = data(:, 1); % Excitation Voltage (input of PD200) [V] de = data(:, 1:6); % Measurment displacement (encoder) [m]
de = data(:, 2); % Measured voltage (force sensor) [V] Vs = data(:, 7:12); % Measured voltage (force sensor) [V]
Vs = data(:, 3); % Measurment displacement (encoder) [m] Va = data(:, 13); % Excitation Voltage [V]
Va = data(:, 4); % Measurement displacement (attocube) [m]
t = data(:, end); % Time [s] t = data(:, end); % Time [s]
% And we save this to a =mat= file: % And we save this to a =mat= file:
apa_number = 1; strut_number = 1;
% leg_number = 4;
save(sprintf('mat/frf_data_leg_coder_%i_noise.mat', apa_number), 't', 'Va', 'Vs', 'de', 'da'); % save(sprintf('mat/frf_data_exc_strut_%i_noise.mat', strut_number), 't', 'Va', 'Vs', 'de');
% save(sprintf('mat/frf_data_leg_coder_%i_sweep.mat', apa_number), 't', 'Va', 'Vs', 'de', 'da'); % save(sprintf('mat/frf_data_exc_strut_%i_noise_lf.mat', strut_number), 't', 'Va', 'Vs', 'de');
% save(sprintf('mat/frf_data_leg_coder_%i_noise_hf.mat', apa_number), 't', 'Va', 'Vs', 'de', 'da'); % save(sprintf('mat/frf_data_exc_strut_%i_sweep.mat', strut_number), 't', 'Va', 'Vs', 'de');
% save(sprintf('mat/frf_data_leg_coder_%i_add_mass_closed_circuit.mat', apa_number), 't', 'Va', 'Vs', 'de', 'da'); save(sprintf('mat/frf_data_exc_strut_%i_noise_hf.mat', strut_number), 't', 'Va', 'Vs', 'de');
% save(sprintf('mat/frf_data_exc_strut_%i_add_mass_closed_circuit.mat', strut_number), 't', 'Va', 'Vs', 'de');

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@ -7,8 +7,8 @@ s = zpk('s');
addpath('./src/'); addpath('./src/');
%% Simulation configuration %% Simulation configuration
Fs = 10e3; % Sampling Frequency [Hz] Fs = 10e3; % Sampling Frequency [Hz]
Ts = 1/Fs; % Sampling Time [s] Ts = 1/Fs; % Sampling Time [s]
%% Data record configuration %% Data record configuration
Trec_start = 5; % Start time for Recording [s] Trec_start = 5; % Start time for Recording [s]
@ -27,7 +27,7 @@ V_noise = generateShapedNoise('Ts', 1/Fs, ...
%% Sweep Sine %% Sweep Sine
gc = 0.1; gc = 0.1;
xi = 0.5; xi = 0.5;
wn = 2*pi*94.3; wn = 2*pi*92.7;
% Notch filter at the resonance of the APA % Notch filter at the resonance of the APA
G_sweep = 0.2*(s^2 + 2*gc*xi*wn*s + wn^2)/(s^2 + 2*xi*wn*s + wn^2); G_sweep = 0.2*(s^2 + 2*gc*xi*wn*s + wn^2)/(s^2 + 2*xi*wn*s + wn^2);
@ -41,8 +41,17 @@ V_sweep = generateSweepExc('Ts', Ts, ...
'sweep_type', 'log', ... 'sweep_type', 'log', ...
'V_exc', G_sweep*1/(1 + s/2/pi/500)); 'V_exc', G_sweep*1/(1 + s/2/pi/500));
V_sweep_lf = generateSweepExc('Ts', Ts, ...
'f_start', 0.1, ...
'f_end', 10, ...
'V_mean', 3.25, ...
't_start', Trec_start, ...
'exc_duration', Trec_dur, ...
'sweep_type', 'log', ...
'V_exc', 0.2);
%% High Frequency Shaped Noise %% High Frequency Shaped Noise
[b,a] = cheby1(10, 2, 2*pi*[300 2e3], 'bandpass', 's'); [b,a] = cheby1(10, 2, 2*pi*[240 2e3], 'bandpass', 's');
wL = 0.005*tf(b, a); wL = 0.005*tf(b, a);
V_noise_hf = generateShapedNoise('Ts', 1/Fs, ... V_noise_hf = generateShapedNoise('Ts', 1/Fs, ...
@ -52,6 +61,17 @@ V_noise_hf = generateShapedNoise('Ts', 1/Fs, ...
'smooth_ends', true, ... 'smooth_ends', true, ...
'V_exc', wL); 'V_exc', wL);
%% Low Frequency Shaped Noise
[b,a] = cheby1(10, 2, 2*pi*[10 260], 'bandpass', 's');
wL = 0.005*tf(b, a);
V_noise_lf = generateShapedNoise('Ts', 1/Fs, ...
'V_mean', 3.25, ...
't_start', Trec_start, ...
'exc_duration', Trec_dur, ...
'smooth_ends', true, ...
'V_exc', wL);
%% Sinus excitation with increasing amplitude %% Sinus excitation with increasing amplitude
V_sin = generateSinIncreasingAmpl('Ts', 1/Fs, ... V_sin = generateSinIncreasingAmpl('Ts', 1/Fs, ...
'V_mean', 3.25, ... 'V_mean', 3.25, ...
@ -61,20 +81,33 @@ V_sin = generateSinIncreasingAmpl('Ts', 1/Fs, ...
't_start', Trec_start, ... 't_start', Trec_start, ...
'smooth_ends', true); 'smooth_ends', true);
%% Zero Excitation
% Trec_start = 10; % Start time for Recording [s]
% Trec_dur = 10; % Recording Duration [s]
%
% Tsim = 2*Trec_start + Trec_dur; % Simulation Time [s]
V_zero = generateShapedNoise('Ts', 1/Fs, ...
'V_mean', 3.25, ...
't_start', Trec_start, ...
'exc_duration', Trec_dur, ...
'smooth_ends', true, ...
'V_exc', tf(0));
%% Select the excitation signal %% Select the excitation signal
V_exc = timeseries(V_noise(2,:), V_noise(1,:)); V_exc = timeseries(V_noise_hf(2,:), V_noise_hf(1,:));
%% Plot %% Plot
figure; figure;
tiledlayout(1, 2, 'TileSpacing', 'Normal', 'Padding', 'None'); tiledlayout(1, 2, 'TileSpacing', 'Normal', 'Padding', 'None');
ax1 = nexttile; ax1 = nexttile;
plot(V_exc(1,:), V_exc(2,:)); plot(V_exc.Time, squeeze(V_exc.Data));
xlabel('Time [s]'); ylabel('Amplitude [V]'); xlabel('Time [s]'); ylabel('Amplitude [V]');
ax2 = nexttile; ax2 = nexttile;
win = hanning(floor(length(V_exc)/8)); win = hanning(floor(length(squeeze(V_exc.Data))/8));
[pxx, f] = pwelch(V_exc(2,:), win, 0, [], Fs); [pxx, f] = pwelch(squeeze(V_exc.Data), win, 0, [], Fs);
plot(f, pxx) plot(f, pxx)
xlabel('Frequency [Hz]'); ylabel('Power Spectral Density [$V^2/Hz$]'); xlabel('Frequency [Hz]'); ylabel('Power Spectral Density [$V^2/Hz$]');
set(gca, 'xscale', 'log'); set(gca, 'yscale', 'log'); set(gca, 'xscale', 'log'); set(gca, 'yscale', 'log');

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