What is the approximate PFDavg for a solenoid valve with a failure rate of 0.00003 failures per hour over a mission time of 2000 hours?

What is the approximate PFDavg for a solenoid valve with a failure rate of 0.00003 failures per hour over a mission time of 2000 hours?

• A. 0.03
• B. 0.028
• C. 0.00003
• D. 0.06

Answer: (A)

To calculate the average Probability of Failure on Demand (PFDavg) for a solenoid valve, one can use the formula: PFDavg = λ * T where λ (lambda) is the failure rate, and T is the mission time. In this case, the failure rate is given as 0.00003 failures per hour, and the mission time is 2000 hours. Substituting in the values: PFDavg = 0.00003 failures/hour * 2000 hours PFDavg = 0.06 This result illustrates the likelihood of failure on demand over the specified mission period. Therefore, the approximate PFDavg for the solenoid valve based on the given failure rate and mission time is calculated to be 0.06. This is why the correct answer reflects an understanding of how to derive PFDavg using the given parameters and demonstrates the relationship between failure rate, mission time, and overall failure probability in functional safety contexts.

To calculate the average Probability of Failure on Demand (PFDavg) for a solenoid valve, one can use the formula:

PFDavg = λ * T

where λ (lambda) is the failure rate, and T is the mission time. In this case, the failure rate is given as 0.00003 failures per hour, and the mission time is 2000 hours.

Substituting in the values:

PFDavg = 0.00003 failures/hour * 2000 hours

PFDavg = 0.06

This result illustrates the likelihood of failure on demand over the specified mission period. Therefore, the approximate PFDavg for the solenoid valve based on the given failure rate and mission time is calculated to be 0.06.

This is why the correct answer reflects an understanding of how to derive PFDavg using the given parameters and demonstrates the relationship between failure rate, mission time, and overall failure probability in functional safety contexts.