Fuel consumption along constant power line | Matlab Operation on engine data | Need easier optimal method

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Karthik
Karthik 2015-5-5
回答： Karthik 2015-5-11
Hi,
Can somebody suggest a simpler way of finding the fuel consumption along constant power line with as less interpolation as possible.
1. I have fuel consumption map from test bench which is measured across several speed and torque. For simplicity i create the data as below.
w=[100:100:600]; % Speed
t=[-150:10:150]; % Torque
[W, T]=ndgrid(w,t);
FC=0.05*W.*T/1000; % Fuel consumption
2. Create power matrix
P=W.*T/1000; % Power
3. So, now i have contour plots as below.
figure(1)
[c,h]=contour(W,T,FC);
clabel(c,h)
figure(2)
[c,h]=contour(W,T,P);
clabel(c,h)
4. I want to determine fuel consumption along constant power line, or in short, i want to find FC as a function of speed (W) and brake power (P). I tried 'griddedInterpolant' as below but i get error. I think i am missing something simple? I am able to solve this by work around and using interpolation twice, but i do not want to do that.
F=griddedInterpolant(W,P,FC);

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Karthik
Karthik 2015-5-11
Below is the answer.
% ------------Given data-------------
w=[100:100:600]; % Speed
t=[-150:10:150]; % Torque
[W, T]=ndgrid(w,t);
FC= (0.000001.*(W.^2)+0.00053.*(W)+0.005+(0.05*W.*T))/1000; % Fuel consumption.
P=W.*T/1000; % Power
FC_table=griddedInterpolant(W,T,FC); %create a Lookup table
%----------------------------------------------------------
p1=(1:1:100); %create constant power vector
[W1, P1]=ndgrid(w,p1);
T1=P1./W1;% determine torque at constant power.
FC1=FC_table(W1',T1')'; %Determine fuel consumption at new torque
[c,h]=contour(W1,P1,FC1);
clabel(c,h);

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