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Optimize for multiple variables in nonlinear function

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Maurice Hendriks
Maurice Hendriks 2017-7-21
编辑： Torsten 2017-7-21
I need to optimize the charging of a battery. I have the price for power per hour; €P(i). I want to charge the battery in t_final hours. The level of the battery after every hour, L(i) is a (nonlinear) function of the power inserted, P(i) and the Level which it had before the start of that hour; L(i) = f(L(i-1),P(i)). I need to find the optimal values for P(i) that minimize SUM( €P(i)*P(i) ) while keeping L(t_final) at 1.
How can I do this?

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Torsten
Torsten 2017-7-21
编辑：Torsten 2017-7-21
min: sum_{i=1}^{t_final} Power_inserted(i)*Price(i)
s.t.
L(t_final)-1=0
Unknowns are Power_inserted(i) (i=1,...,t_final).
To get L(t_final), you will have to compute L(1),...,L(t_final-1) from the unknowns Power_inserted(i).
A typical problem for MATLAB's "fmincon".
Best wishes
Torsten.

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