Battersea Power Station

Battersea Power Station was located in the city of London.

In the main universe, by the time of the 22nd century Dalek invasion of Earth, to the surprise of Ian Chesterton and Barbara Wright, who came from the year 1963, it had been converted into a nuclear power plant and was visibly different than the power station that they knew as one chimney was missing. (DW: The Dalek Invasion of Earth)

Parallel Earth
In a parallel Earth, the station no longer served its original purpose. Cybus Industries employed it as a cyber-conversion center and base for the Cybermen created by John Lumic. The factory was converted from the inside and deep inside its structure, thousands of Cyber Conversion machines went to work on cutting out the brains of London's population, thus upgrading them. It was here that Mr. Crane and his men created the first Cybermen before Lumic's arrival.

When London was taken over by the Cybermen, Lumic took full authority over his factory but it was soon given to the Cybermen when they upgraded him. Soon after, the the Doctor and his allies gained access to the factory and were led to Cyber Control were they met Lumic's upgrade, the Cyber-Controller.

It was destroyed when the Doctor used Rose Tyler's superphone to send a signal which destroyed all the Cybermen inside. The entire building was engulfed in flames and the Doctor and his friends made a lucky escape from it upon the Cybus Industries Zeppelin. (DW: The Age of Steel)