I have build a simulation of an electricity grid. i will simulate a cable fault, where nodes in the grid will have an interrupted poer supply.

I am going to build a solution finder that will help find an alternative route for powering the affected nodes. Some basic contraints that must be satisfied are,

1. power output of root (main transformer) must not be exceeded.
2. current carrying capacity of cable within the path (weighted arrows) must not be exceeded.

3. Multiple sources of power (multiple routes) can be assumed.

4. Nodes receive supply from a single source of current ONLY. flow is controlled using switches attached to nodes.

Also there is no difference between incoming and outgoing arrows. I set the 'direction' of flow of current using logic i implemented by linking arrows and boxes with ids.

I know flowchart.net has some methods supporting pathfinding using weights at the edges (arrows) how can these be used in my case?