How to solve 'User supplied objective function must return a scalar value' in fmincon?

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Arifur Rahman 2018-1-27

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https://ww2.mathworks.cn/matlabcentral/answers/379266-how-to-solve-user-supplied-objective-function-must-return-a-scalar-value-in-fmincon

回答： Walter Roberson 2018-1-28

Hello. I have done power flow calculation. After power flow calculation, I got Losses in the line which is (131x96) matrix. This matrix I have used as an objective value to optimize losses. The objective value is like below,

AC_DC_losses=abs(LineLosses); ----- (131x96) matrix.

When I optimize with fmincon, it shows the error like, 'User supplied objective function must return a scalar value'. I am understanding the problem. Is this the problem because the objective value is (131x96) matrix. Could anyone give me suggestion regarding this?

Thanks in advance.

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Walter Roberson 2018-1-27

You have multiple outputs. What are you trying to optimize:

minimize total losses?
minimize median loss?
minimize standard deviation of losses?
find a set of losses such that it is not possible to lower any one of them without raising at least one other of them? ("Pareto front")

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