The story so far: ISO 50001 is an international standard which lays down a harmonised recommended method for managing energy. Published in 2011, it is analogous to ISO 14001, which covers environmental management and ISO 9001 for quality management. Organisations can be certified to ISO 50001 to show that they have energy-management procedures which meet certain criteria.
At the time of writing, the original 2011 edition of ISO50001 is due to be phased out and replaced with a new 2018 version. To help understand the differences, I have approached it from the point of view of the main topics that you or an auditor might explore when establishing compliance, and the questions that would be asked. I give the section references of both old (2011) and new (2018) editions, and where necessary there is a note of any material differences.