https://en.wikipedia.org/wiki/Vattenfall
Fortum, 50.x% owned by the finish state.
https://en.wikipedia.org/wiki/Fortum
Equinor, 67% Norwegian government.
https://en.wikipedia.org/wiki/Equinor
Ørsted, 50.x%. Danish state.
https://en.wikipedia.org/wiki/%C3%98rsted_(company)
EDF, 87% French state.
https://en.wikipedia.org/wiki/%C3%89lectricit%C3%A9_de_Franc...
And what about EU rules against unfair competition? They basically force these companies to behave like any other market participant and forbid the state from giving them much/any help. This had real consequences in Poland and Czechia where the states wanted to help nuclear projects (in case of Czechia it was CEZ - the partially state-owned energy company) but the EU stopped it.