Heat oil in a large kettle or Dutch oven. Add pork and cook until browned. Remove pork from pan and set aside. In the drippings left from the pork, cook onion, sweet pepper, and garlic for 5 minutes. Drain off fat. Return pork to pan. Add broth, water, tomatoes, ginger root, cumin, and crushed red pepper. Bring to boiling then reduce heat to a simmer, cover and cook for 45 minutes.
After 45 minutes, add the plantains and black beans. Return to a simmer and cover for 15 minutes more or till pork is tender. Serve with cooked rice.