Spoiler warning: Plot and/or ending details follow.
A power distribution center is a facility that distributes electrical energy throughout a community - be it space or ground based.
After the Tarsus IV massacre, followers of former Governor Adrian Kodos sabotaged the power distribution center in order to facilitate their theft of a transport. (DSC novel: Drastic Measures)
The Quarren brainwashed a number of alien workers to staff their power distribution center, which they called the Central Power Facility. (VOY episode: "Workforce")