Solenoid valves will for any certain nominal diameter vary greatly (depending on type and brand) in real Cv. Cv or air capacity might be given on different basis. 1. Check Safety valves actual nominal light opening of the solenoid valve. Exsample: a 1/4" valve can be anything from less than one mm nominal opening up to 6mm. 2. Check the basis (nomenclature) for the given Plug Valvescapacity for the solenoid valve. 3. Any qualified (good)solenoid supplier will give you directly the answer to your question. You have to make some assumptions though. 4. It is always wise to go up in bore on the solenoid to have enough capacity, and then throttle with throttle valves to reduce actuator speed. Remember that not only solenoid valves but also Reducing Valvespipelines, inlet to actuator and internal actuator borings (if any) will influence speed, also sufficient air pressure and air amount available. 5. A nominal bore 1/4" with 6mm throughlet and Kv about 1,2 (Cv = kv times 1,2 = 1,44) might be sufficient, based on Balance Valvesan assumption of 167 l/15 seconds times 3600 seconds -> 40Nm3/hour (Qn) necessary. You also have to assume theAPI Cast Steel Valves pressure difference. For supercritical: Qn=13,36 x P1 x kv for subcritical: Qn = 26,7 x kv x (root of deltaP times p2). P1 being supply pressure, P2 pressure inside actuator to get sufficient amount in at a pressure to move the avtuator. As the actual mecanical performance and necessary torque is unknown, I would be much more comfortable selecting a 1/2" with nominal bore 12mm, kv=3,0 (Cv =3,6), and throttle down to suitable speed for the actuator.

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