Energy Storage Optimization with PV to Increase the Revenue

Dear All,

I am currently working on an optimization problem for a combined Solar energy and Energy Storage. The objective of the optimization is to increase revenue from controlling the battery when to charge and when to discharge depending on when the tariff electricity rate price is high or low. The optimization is fed with one week of data of electricity tariff rate price, demand, and PV.

According to the below code, I am getting an error in the SOC constraint, which is “the following error occurred converting from optim.problemdef.OptimizationExpression to double: Conversion to double from optim.problemdef.OptimizationExpression is not possible.” Therefore, how can I solve this error, please?

% Initializtion
T = size(demand,1);
MaxGenerationLevel = ones (T,1)*MaxGenerationLevel(:,1); 
MinGenerationLevel = ones(T,1)*MinGenerationLevel(:,1);

SOC = optimexpr(T,1)*SOC;
BESScap = double(T)*BESScap;

BESScapmax = ones(T,1)*7.200; %
BESScapmin = zeros(T,1);


% initialize the optimization problem 
prob = optimproblem ('ObjectiveSense', 'max');


% Decision Variables 

Pwr = optimvar('Pwr',T, 1, "LowerBound",-MaxGenerationLevel,"UpperBound",MaxGenerationLevel) %my Decision Variables is the battery power


% Constraints:


% Meet Demand constraints:
% 
prob.Constraints.demand = sum(Pwr,2) <= demand;

% % % BESS capacity constraints:
% prob.Constraints.BESScap =  BESScapmin <= BESScap <= BESScapmax;

% SOC constraint:

prob.Constraints.SOC = optimconstr(T,1);
for t = 2:T
   
    if BESScapmin <= BESScap(t-1) <= BESScapmax
       BESScap(t) = BESScap(t-1) + Pwr(t,1);% first place
       SOC(t-1) = BESScap(t-1)/7.200; 
    else
        continue
    end
%     BESScap(t) = BESScap(t-1) + Pwr(t); % second place

 
end 
prob.Objective =  sum(Pwr.*ElectpriceFChourly) %+ sum(PV.*ElectpriceFChourly); % the timing is per hour

Solution = solve(prob);

Moreover, I am happy to modify my code if there are more errors to get the correct optimization solution.

Appreciate your support in advance.

Best regards,

Ali

Answer 1

[Payam]

HI Ali,

Did you ever firgure this out? I am facing a similar problem.