You Do Need power plug adapter while traveling from Western Sahara to Sudan.

Here is Why You Need An Adapter

The outlet and plug type used in Sudan are C and D and in Western Sahara are C and E. This is how they look like.

Western Sahara

In Western Sahara, outlets of type C and E are in use.

Type C

Type E

Sudan

In Sudan, outlets of type C and D are in use.

Type C

Type D