Connect to vs. Connect up to

Connect to has two definitions when it comes to linking two or more things:

1- Joining together two things:

- I connected these wires together.
- Engineers connected the two bridges to a highway.

2- Joining a piece of a equipment to a main supply of power,water,gas,...

- I connected to my cool disk to your laptop.

Connect up to means the same as the second definition.

- Please connect up to the fridge to the electricity supply.

Related subject
Connect to vs. Connect with