Safety valve, well system, and method employing a temperature sensor

A well system, comprising:

• a wellbore extending through one or more subterranean formations;
• production tubing disposed in the wellbore;
• and
• a safety valve disposed in the production tubing, the safety valve including:
• a tubular housing;
• a flow tube positioned within the tubular housing;
• a valve closure mechanism positioned within the tubular housing, the flow tube configured to move between a closed position and an open position and thereby move the valve closure mechanism between a closed state and an open state;
• an electromagnet coupled to one of the tubular housing or the flow tube;
• one or more permanent magnets coupled to an other of the flow tube or the tubular housing;
• and
• a temperature sensor thermally coupled to one or more coils of the electromagnet, the temperature sensor configured to sense for a change in a temperature of the one or more coils to determine a health of the safety valve.

A method, comprising:

• positioning production tubing having a safety valve disposed therein in a wellbore, the safety valve including:
• a tubular housing;
• a flow tube positioned within the tubular housing;
• a valve closure mechanism positioned within the tubular housing, the flow tube configured to move between a closed position and an open position and thereby move the valve closure mechanism between a closed state and an open state;
• an electromagnet coupled to one of the tubular housing or the flow tube;
• one or more permanent magnets coupled to an other of the flow tube or the tubular housing;
• and
• a temperature sensor thermally coupled to one or more coils of the electromagnet;
• and
• sensing a change in temperature of the one or more coils using the temperature sensor to determine a health of the safety valve.