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Question 2 5 pts Work through this example to test your knowledge. Any questions can be asked at the Q&A sessions. A fire pump system shown in Figure 2 pumps water through a control valve to the fire sprinkler system for a manufacturing plant. It uses two identical mechanical pumps independently driven by two separate diesel engines. Sprinkler System Valve Engine Fire pump 1 FP1 Fire pump 2 FP2 Engine Water Supply (Tank storage) Start Signal A Fault Tree Diagram shown in Figure 3 shows the initiating events that cause the top event "Sprinkler system fails on demand". In this analysis, the initiating events are considered to be independent. The probabilities of these independent events are shown in the table below. Probability of Event
A Fault Tree Diagram shown in Figure 3 shows the initiating events that cause the top event "Sprinkler system fails on demand". In this analysis, the initiating events are considered to be independent. The probabilities of these independent events are shown in the table below. Probability of Event Independent Event Event No. per annum Fire at Facility 1 0.05 Water Supply Unavailable 2 0.02 Valve fails to open 3 0.0055 Pump 1 Mechanical Failure 4 0.005 Pump 2 Mechanical Failure 5 0.005 Contaminated Fuel Engine 1 6 0.002 Mechanical Failure Engine 1 7 0.010 Start Signal is not received 8 0.001 Contaminated Fuel Engine 2 9 0.002 Mechanical Failure Engine 2 10 0.010 . Sprinkler System Fails on demand No Water from Fire Pump System Fire at Facility 8 com No Water from the two pumps Water Supply unavailable Valve fails to open Start Signal Not received No Water from Pump One Permainan No Water from Pump TWO not Engine 1 Does Not Operate 5 Engine 2 Does Not Operate Pump 1 Mechanical Failure Pump 2 Mechanical Failure 10 Contaminated Fuel Engine 1 Mechanical Failure Engine 1 Contaminated Fuel Engine 2 Mechanical Failure Engine 2
1. For the Fire Pump System shown in the fault tree above: A. Identify the cut sets using the numbers provided in each independent B. List any single points of failure of the Fire Pump C. Calculate the probability of the top event "Sprinkler System Fails on demand". 2. Two options have been proposed to reduce the failure of the sprinkler what is the new probability of the Top Event "Sprinkler System Fails on demand" for each of the following two options described below and shown in Figure 4? Assume the cost of each option is the same: A. Option 1 - Replace the valve with a new technology design (the new technology valve has exactly half the probability of failure of the original valve), B. Option 2 - Using the original valve design, install a two valve configuration, where each engine output has its own valve which then feeds into the sprinkler system (use original valve technology for both valves with original failure rate for each individual valve). Sprinkler System Sprinkler System Option 1 Replace Valve with New Technology with reduced failure rate Option 2 Duplicate Original Valve with samo failure rato Valve Valve Valve Engine Fire pump 1 Fire purp 2 FP1 Engine Engine Fre pump 1 FP1 Fira pump 2 FP Engine FP2 Water Supply Tark storape) Water Supply (Tenk storage) Start Signal Start Sigral