A method of operating a valve can include installing an electrical actuator in a flow passage extending longitudinally through the valve, and operating a closure assembly in response to electrical power being supplied to the electrical actuator. An outer safety valve can include a closure assembly which selectively permits and prevents flow through a longitudinal flow passage, and at least one electrical connector which electrically connects to an insert safety valve positioned in the flow passage. A method of operating an outer safety valve in a subterranean well can include installing an insert safety valve in the safety valve, and operating the insert safety valve with electrical current flowing from the safety valve to the insert safety valve.