ExxonMobil's doc. XVC Pressure Relief said:
7.5 PRESSURE RELIEF VALVE CHATTERING
Chattering is the rapidly alternating opening and closing of a PR valve. This vibration may result in misalignment and leakage when the valve returns to its normal closed position. If chattering continues for a sufficient period, chattering may result in mechanical failure of valve internals or associated piping fittings. In addition, the vibration may loosen bolts and result in flange leaks around the PR valve. Chattering may occur in both liquid and vapor service PR valves. The principal identified causes of PR valve chattering are oversized valve, excessive inlet pressure drop, excessive built-up back pressure incorrect blow-down ring setting, and liquid surge. In addition, a further mechanism of chattering may be introduced in some liquid service PR valve installations if the response characteristics of a control valve in the same system are such that hunting between the two occurs. Generally, this can be eliminated by adjustment of instrument settings or by installation of two valves with staggered set points. The lower set valve should be sized to handle about 25% of the required
capacity.
7.5.1 Oversized Valve
“Pop" action PR valves in vapor service open at the set point by the action of static process pressure on the valve disc, and move to full open position at only a small overpressure. Typically, a flow through the valve equal to at least 25% of its rated capacity is necessary to keep the disc in the open position. At lower rates, the kinetic energy of the vapor flow is insufficient to keep the valve open against the action of the spring and it returns to the closed position, only to reopen immediately since the static pressure within the system still exceeds the set pressure. Chattering results from continuous cycling in this manner. It can occur when a "pop" type PR valve is too large for the quantity of flow being discharged. In most cases, the use of multiple PR valves with staggered set points may be appropriate to eliminate this problem, as described later in this section. Liquid service PR valves are characterized by progressively increased lift with increasing inlet pressure, rather than the “pop" action of vapor service valves. Liquid service valves are, therefore, less likely to chatter at low relieving rates, and they will modulate down to about 10% of rated capacity before chatter becomes a problem. However, pumps with very flat capacity curves can (and have often) resulted in PR valve chattering when the PR valve is oversized.
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7.6.2 Preventing Chattering
In PR valve sizing it is always necessary to select the next larger commercially available orifice above the calculated size. Furthermore, a PR valve may lift as a result of various contingencies, any one of which requires a lower relieving rate than the design contingency. Both these factors affect the likelihood of a vapor PR valve chattering in service, since chattering (as described previously) is more likely to occur when the quantity of fluid being discharged is less than about 25% of its rated capacity. Where different contingencies of equal probability require substantially different capacities, it is always best to use two or more PR valves with staggered settings. For example, if one contingency required a capacity of 25,000 lb/h (3 kg/s) and another 100,000 lb/h (12 kg/s), two PR valves would be used, with one of 25,000 lb/h (3 kg/s) and the other 75,000 lb/h (9 kg/s) minimum capacity. The lower capacity valve in this case would be at the lower staggered set pressure. When a fire contingency is the largest contingency and the next largest contingency is less than 25% of the fire relieving rate, multiple PR valves with staggered settings should always be used. However, when the fire contingency is the smallest load, it is generally ignored. This is because fire is a rare occurrence and chattering under fire conditions is not a significant concern.