PCSO is a Police Community Support Officer, these are not Police Officers, they have very limited powers (they cannot Arrest somebody) and are typically wannabe that cannot cut the grade and have very limited knowledge of the law and in this case even the English language given their confusion of the semantics difference between Abstration and Extraction.
UK Trains provide charging points for laptops and mobile phones and have signs announcing this, and this is also on the national rail website . These are low power and not suitable for a heavy load like a vacum cleaner.
"WiFi and power points for laptops and mobile phone chargers are available on some trains"
http://www.nationalrail.co.uk/...
The guy was immediately 'de-arrested' and released by the custody Sergeant and why he will get compensation is due course for false arrest.