Optimise a loop with interpolation

Question

Fabian Haslwanter 2023-4-9

0
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https://ww2.mathworks.cn/matlabcentral/answers/1944099-optimise-a-loop-with-interpolation

回答： Vanshika Vaishnav 2023-4-12

Hello dear forum:

I am working on an battary optimization problem. As part of the problem, an electrical resistance should be dependent on T, C-Rate and SOC. I have a lot of sample values in between which it should be interpolated. Because the optimization problem is designed as a shortest path model, it iterates around 200 million times. My current approach is shown below and is currently very slow due to the interpolation. I used the griddata-command for interpolation.

Is there a faster way? My ideas:

Interpolate a lot of values in the first rotation and then only select the closest one etc.
Turn the sample values into a function. (I have heard about this but didnt find it).

I am glad for any suggestions!

Thank you and merry easter.

Here my current function:

function R = calculateResistance_neu_neu(R0,I,SOC,T,Q)
T = T;
C_Rate = I/Q;
SOC = SOC;
matrix = [5, 0.5, 0.1, 2.25, 135;
            .....
          45, 3, 0.8, 1, 60;
          45, 3, 0.9, 1, 60];
Multiplikator = griddata(matrix(:,1),matrix(:,2),matrix(:,3),matrix(:,4),T,C_Rate,SOC);
R = R0*Multiplikator;