XOY plane must find the optimal installation location of substations

XOY plane must find the optimal installation location substation (IP), a place with generate randomly. And the place must be such that from the substation to the consumers (TP) was a minimal way of laying of cable lines. There is a problem on the way from the substation to the consumers (IP) (TA) is the area (restrictions) which should bypass the cable line. The picture attached. Help implement in Matlab

Answer 1

[BhaTTa]

To solve the problem of finding the optimal installation location for a substation (IP) in the XOY plane, while considering random consumer locations (TP) and avoiding restricted areas (TA), we can approach this as an optimization problem. Here's a general outline of how you might implement this in MATLAB:

1. Define the Problem:

• Generate random locations for the consumers (TP).
• Define the restricted area (TA) that the cable lines must bypass.
• Use an optimization algorithm to find the optimal substation location (IP) that minimizes the total cable length.

2. Optimization Approach:

• Use a heuristic or optimization algorithm like Genetic Algorithm, Particle Swarm Optimization, or Simulated Annealing to find the optimal location.
• Define a cost function that calculates the total cable length while avoiding the restricted areas.

3. Implement in MATLAB:

• Use MATLAB's optimization toolbox or custom scripts to perform the optimization.