The annual consumption of electricity in the UK is 300 TWh https://www.gresham.ac.uk/lectures-and-events/energetic-mathematics
It is supplied over a complex network starting, usually, with power being generated at a power station. This is then transmitted over a high voltage network, before being reduced in voltage and distributed to commercial, industrial and residential consumers. Mathematics is vital in ensuring that the lights stay on as the planners of the grid need to solve non-linear differential-algebraic equations to work out how much electricity can be generated, distributed and stored. These challenges will increase in the future.

The transcript and downloadable versions of the lecture are available from the Gresham College website: https://www.gresham.ac.uk/lectures-and-events/energetic-mathematics

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