In 2017 10,700 GWh of electricity was consumed in the West Midlands Metropolitan area. This excludes electricity which was generated and used on site, the amount of which is not known as it is not metered. Between June 2017 and June 2018 22,700 GWh of gas was consumed. These are the most recent periods for which information is held.
Source for electricity consumption: https://www.gov.uk/government/statistical-data-sets/regional-and-local-authority-electricity-consumption-statistics
The sources give consumption at the local authority level, where consumption in the 7 local authorities in the West Midlands Metropolitan area were aggregated to provide this answer. These local authorities are Birmingham, Coventry, Dudley, Sandwell, Solihull, Walsall and Wolverhampton.