Optimization problem

Hello all,

I am new matlab user and i need to solve an optimization problem with matlab for my MS thesis. Can you pleas show me a way to do it? I am feeling so helpless now. Here is the optimization problem:

Min ∑〖Xa(t).Ca(t)〗 (t is time(hour), t= 0 to 8760, which means a year)

Bounds:

R(t) + Hü(t).Y(t) + Xa(t) = PG(t) + Ht(t).Z(t) + Xs(t)

Smin ≤S(t)≤Smax

S(t+1)=S(t) -Sç(t+1) +Sg(t+1) S(0)=Sbegin

Sg(t+1)=α.Z(t)

Sç(t+1)=α.Y(t)

Z,y=(0,1)

Hü(t)= 1250 kW/saat

Ht(t)= 1785 kW/saat

Cs(t)= 13,14 dolar/kW

Ca(t1)= 15,708 dolar/kW( between 06:00-17:00 hours,(t=6-t=17,t=30-t=41.....)

Ca(t2)=28,029 dolar/kW(between17:00-22:00 hours)

Ca(t3)=6,824 dolar/kW (between 22:00-06:00 hours)

R(t): is hourly wind data, will be red from excel file.

Xs(t) :is the amount of energy whicht is sold to the electrical network wtih a fix price (kW/h).

Xa(t) :is the amount of energy bought from the electrical network.

Hü(t): Energy obtained from storage system(is fix: 1250 kW/h)

Ht(t): Energy used by storage system( is fix: 1780 kW/h)

PG(t): Energy demand of the city (kW/hour, will be red from excel file)

S(t): Fullness ratio of the energy storage system

Smin: Min. Fullness ratio of the energy storage system

Smax: Max. Fullness ratio of the energy storage system

Sg(t) :Energy, which is given to storage system(α=20, hourly %20 of the storage capacity is filled)

Sc= Ratio of the energy substracted from storage system ((α=20, hourly %20 of the storage capacity is given out)

Ca(t)= Price of the energy bough from the electrical network (hourly, kW/h, one fix price)

Cs(t)= Price of the energy sold to the electrical network (hourly, kW/h, three different price periods)

Remind that PG(t) and R(t) will be red from the EXCEL file.

I will be very very thank full if you help me. I even can write your name to my MS thesis in the section where i will thank to people :))

Thank you.

Answer 1

[Taniadi]

I can't help you since I don't understand your problem. But after reading your explanation, I think that you have to write a M-file to define your objective function, and use IF to define cost that depends on time. And the only function I know for constrained optimization problem is fmincon.