Mainly there are three types.
a. Series generator or series wound generator.
b. Shunt generator or shunt wound generator.
c. Compound generator.
There are different types of compound generator.
a. Short shunt commulative compound generator.
b. Short shunt differential compound generator.
c. Long shunt commulative compound generator.
d. Long shunt differential compound generator.
Depending upon the terminal voltage characteristics there are three types of compound generator.
a. Under compound generator.
b. Flat or level compound generator.
c. Over compound generator.