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plot_dfn_sensitivity.m
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plot_dfn_sensitivity.m
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%% Plot Sensitivity Analysis Results of DFN
% Created February 23, 2014 by Scott Moura
%clear;
close all;
clc;
fs = 15;
params = {'$D_s^{^{\_}}$','$D_s^+$','$D_e^-$','$D_e^{sep}$','$D_e^+$','$1{^{\_\ }}t_c^0$',...
'$1/\sigma^{^{\_}}$','$1/\sigma^+$','$1/\kappa$','$(1+\frac{d \ln f_{c/a}}{d \ln c_e})$','$k^{^{\_}}$','$k^+$',...
'$R_f^{^{\_}}$','$R_f^+$','$\epsilon_e^{^{\_}}$','$\epsilon_e^{sep}$','$\epsilon_e^+$',...
'$c_{s,\max}^{^{\_}}$','$c_{s,\max}^{+}$','$h$','$(\rho_{avg}C_p)^{{^{\_}}1}$'};
%% Load Data;
%%%%%%%%%%%%%%%%%% Start Commented by Federico %%%%%%%%%%%%%%%%%%%%%%
% Load Sensitivities
%fn = 'data/sensitivity/zero_sensitivity.mat';
%fn= 'data/sensitivity/sensitivity_new_c_s_UDDS_500s.mat';
fn= 'data/sensitivity/sensitivity_new_c_s_constant_discharge.mat';
load(fn);
disp(['Loaded Sensitivity data file: ' fn]);
% Parse sensitivity data
dfn_fn = out.fn;
S1 = out.S1;
S2 = out.S2;
S3 = out.S3;
clear out;
% Load DFN Data
load(dfn_fn);
disp(['Loaded DFN data file: ' fn]);
% Parse output data
t = out.time;
p = out.p;
Cur = out.cur;
SOC = out.soc;
Volt = out.volt;
clear out;
% Vector Sizes
Nt = 21;
NT = length(t);
%%%%%%%%%%%%%%%%%% End Commented by Federico %%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%% Start Added by Federico %%%%%%%%%%%%%%%%%%%%%%%
% Nt = 21;
% NT =length(t);
%%%%%%%%%%%%%%%%%%% End Added by Federico %%%%%%%%%%%%%%%%%%%%%%%
% Compute Norms over time
Snorm.volt.unsort = zeros(Nt,1);
Snorm.soc.unsort = zeros(Nt,1);
Snorm.temp.unsort = zeros(Nt,1);
for idx = 1:Nt
Snorm.volt.unsort(idx) = norm(squeeze(S3(1,idx,1:(NT-3))));
Snorm.soc.unsort(idx) = norm(squeeze(S3(2,idx,1:(NT-3))));
Snorm.temp.unsort(idx) = norm(squeeze(S3(3,idx,1:(NT-3))));
end
% Sort Norms
[Snorm.volt.sort, Snorm.volt.ind] = sort(Snorm.volt.unsort,1,'descend')
[Snorm.soc.sort, Snorm.soc.ind] = sort(Snorm.soc.unsort,1,'descend');
[Snorm.temp.sort, Snorm.temp.ind] = sort(Snorm.temp.unsort,1,'descend');
%% Plot DFN Response
figure(1); clf;
set(gcf,'Position',[311, 16, 613, 684]);
subplot(311)
plot(t,Cur,'LineWidth',2)
ylabel('Current [A/m^2]','FontSize',fs);
xlim([0 t(end)]);
set(gca,'Fontsize',fs);
subplot(312)
plot(t,SOC,'LineWidth',2)
ylabel('SOC','FontSize',fs);
xlim([0 t(end)]);
set(gca,'Fontsize',fs);
subplot(313)
plot(t,Volt,'LineWidth',2)
ylabel('Volt','FontSize',fs);
xlabel('Time [sec]','FontSize',fs)
xlim([0 t(end)]);
set(gca,'Fontsize',fs);
%% Plot Time Repsonse of Sensitivities
figure(2); clf;
set(gcf,'Position',[311, 16, 613, 684]);
subplot(311)
plot(t,squeeze(S3(1,:,:)),'LineWidth',2)
ylabel('Voltage Sensitivity','FontSize',fs);
xlim([0 t(NT)]);
set(gca,'Fontsize',fs);
subplot(312)
plot(t,squeeze(S3(2,:,:)),'LineWidth',2)
ylabel('SOC Sensitivity','FontSize',fs);
xlim([0 t(NT)]);
set(gca,'Fontsize',fs);
subplot(313)
plot(t,squeeze(S3(3,:,:)),'LineWidth',2)
ylabel('Temp. Sensitivity','FontSize',fs);
xlabel('Time [sec]','FontSize',fs)
xlim([0 t(NT)]);
set(gca,'Fontsize',fs);
%% Bar Chart of Sensitivity Ranking
% SOC Sensitivity
figure(3); clf;
set(gcf,'Position',[234 3 564 695],'PaperPositionMode','auto');
%barh(log10(Snorm.soc.unsort(end:-1:1)));
barh(log10(Snorm.soc.sort(end:-1:1)));
xlim([-11 2])
ylim([0 Nt+1])
set(gca,'YTick',1:Nt);
set(gca,'Position',[0.2 0.1 0.75 0.85])
% set(gca, 'YTickLabel', params(end:-1:1));
%params_inv = params(end:-1:1);
params_sorted=params(Snorm.soc.ind(end:-1:1));
%[hx,hy] = format_ticks(gca,' ',params_inv,-11:2:1,[],0,0,0.02,'FontSize',fs,'FontWeight','Bold');
[hx,hy] = format_ticks(gca,' ',params_sorted,-11:2:1,[],0,0,0.02,'FontSize',fs,'FontWeight','Bold');
set(gca,'FontSize',fs);
xlabel('Sensitivity Magnitude [log scale]','FontSize',fs)
title('\bf Sensitivity of SOC','FontSize',fs+2);
% Temperature Sensitivity
figure(4); clf;
set(gcf,'Position',[234 3 564 695],'PaperPositionMode','auto');
barh(log10(Snorm.temp.sort(end:-1:1)));
xlim([-10.5 0.5])
ylim([0 Nt+1])
set(gca,'YTick',1:Nt);
set(gca,'Position',[0.2 0.1 0.75 0.85])
%set(gca, 'YTickLabel', params);
[hx,hy] = format_ticks(gca,' ',params(Snorm.temp.ind(end:-1:1)),-10:1:0,[],0,0,0.02,'FontSize',fs,'FontWeight','Bold');
set(gca,'FontSize',fs);
xlabel('Sensitivity Magnitude [log scale]','FontSize',fs)
title('\bf Sensitivity of Temp.','FontSize',fs+2);
% Voltage Sensitivity
figure(5); clf;
set(gcf,'Position',[234 3 564 695],'PaperPositionMode','auto');
barh(log10(Snorm.volt.sort(end:-1:1)));
xlim([-10.5 0.5])
ylim([0 Nt+1])
set(gca,'YTick',1:Nt);
set(gca,'Position',[0.2 0.1 0.75 0.85])
%set(gca, 'YTickLabel', params);
[hx,hy] = format_ticks(gca,' ',params(Snorm.volt.ind(end:-1:1)),-10:1:0,[],0,0,0.02,'FontSize',fs,'FontWeight','Bold');
set(gca,'FontSize',fs);
xlabel('Sensitivity Magnitude [log scale]','FontSize',fs)
title('\bf Sensitivity of Voltage','FontSize',fs+2);