I have the following challenge.
I have got a three-phase distribution line for electrical power with the lines A,B,C.
As well, I have a set of loads Li (with i=1...n), which have got the below behaviour over time.
time: t1 t2 t3 t4 t5 t6
L1: 1 3 4 5 6 1
L2: 1 1 1 1 1 1
L3: 2 1 4 5 6 7
Ln: 2 1 4 5 6 7
I would like to distribute the loads over the three distribution lines in order to achieve the best distribution possible, that is, minimize the difference between phase A,B,C.
Has anybody a hint which approach is best and better and example application?
To me it is a optimisation problem, I may solve with something like Newton or so. But I cannot find the solution. The problem is, that in contrast to the following example, I have vector for x and not values:
My x in there are vectors again
Thanks a lot.