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

Here is Why You Need An Adapter

The outlet and plug type used in Sudan are C and D and in Dominica are D and G. This is how they look like.

Dominica

In Dominica, outlets of type D and G are in use.

Type D

Type G

Sudan

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

Type C

Type D