GA linear constraints problem

Hello all.

I am trying to solve a rather simple optimization problem. I want to maximize a cost function such as:

fobj=Load(t)*Price(t)-x(t)*Price(t)

Where t is the timestep, Load is the energy consumption, Price is the tariff at the given time and x the solution of ga (the purchased energy).

But in a 24-hour horizon, the sum of Loads must be equal to the sum of the purchased energy: ΣLoads=Σx or, to be more precise:

ΣLoads-x(1)-x(2)-...-x(t-1)=x(t)

Do anyone can help?

Thank you!

Answer 1

[Matt J]

I'm not sure why you are using ga() rather than linprog, but for the constraint you describe, the Aeq,beq constraint matrices would be,

Aeq=ones(1,numel(Price)); beq=sum(Loads);