- Firstly, define decision variables for the power outputs of each resource.
- Define constraints, including the resource balance constraint i.e source generation must be equal to load.
- Define the objective function to minimize the total cost based on the costs of each resource.
- Set up the optimization problem with the defined decision variables, constraints, and objective function and solve it
How to coordinate the power resources based on the cheapest cost using optimization based problem in matlab.
1 view (last 30 days)
Show older comments
Hi all,
I am working on optimization of several resources and using problem based optimization method. so I have this constraints
prob.Constraints.resourcebalance= Pgrid + Pbattery + Pwind + Psolar == Pload;
every of these resources have a cost. What I want is that how to coordinate these resouces based on the cheapest cost. for example, we calculate the cost for each of the resources(costpower grid, costbattery, costwind, costsolar) and after that it turns out that the costsolar has the cheapest cost, so I want to coordiante these power resources from cheapest to expensive.
I can explain more. for example the cheapest is costsolar, then costbattery, then, costwind, then finally costpower grid. According to the previous sorts of cost, how to coordinate the power resources (I should first Psolar, then Pbattery, then Pwind and finally Pgrid. How to coordinate the power resources based on the cheapest cost using optimiation based problem in matlab. Thanks in advance.
0 Comments
Answers (1)
MULI
on 23 May 2024
Hi Hossam,
I understand that you are required to generate power based on the cost of different sources available. The below steps will help you in implementing this.
Below is the MATLAB code which implements these steps:
% Define costs and maximum power values for each resource
costs = [0.2, 0.4, 0.6, 1]; % Costs of solar, battery, wind, grid power ($/kWh)
max_power = [50, 30, 40, 60]; % Maximum power output for each resource (kWh)
% Define total load
P_load = 100; % Define your total load here
% Define optimization problem
prob = optimproblem;
% Define decision variables
P = optimvar('P', 4, 'LowerBound', 0, 'UpperBound', max_power);
% Define constraints
resource_balance_constraint = sum(P) == P_load;
% Define objective function to minimize total cost
total_cost = costs * P;
prob.Objective = total_cost;
% Add constraints to the problem
prob.Constraints.resource_balance = resource_balance_constraint;
% Solve the optimization problem
[sol, fval, exitflag, output] = solve(prob);
% Display solution
disp(['Optimal power output for solar: ', num2str(sol.P(1))]);
disp(['Optimal power output for battery: ', num2str(sol.P(2))]);
disp(['Optimal power output for wind: ', num2str(sol.P(3))]);
disp(['Optimal power output for grid: ', num2str(sol.P(4))]);
disp(['Total cost: ', num2str(fval)]);
This code will find the optimal power outputs for each resource while ensuring that the total cost is minimized, following the order of cheapest cost from solar to grid.
For more information on the functions used such as ‘optimproblem’ ‘optimvar’ and ‘solve’ you may refer these documentation links
Hope this answers your query!
0 Comments
See Also
Categories
Find more on Get Started with Optimization Toolbox in Help Center and File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!