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Fault tree (FTA) templates

Fault Tree — Triple Hydraulic Loss

Total hydraulic power loss on a three-system narrowbody over a five-hour leg, where a single common-cause fluid contamination event sits in all three branches and dominates a picture that looks fully redundant.

Template previewFault tree (FTA)
Loss of all hydraulic power — narrowbody transportFault tree (IEC 61025) · 10 basic events · 4 gates · depth 2topAll three hydraulicsystems lost2.50e-5green_lostGreen system lost2.04e-4green_edpGreen engine-drivenpump fails1.20e-4green_leakGreen line rupture4.00e-6eng1_shutdownEngine 1 in-flightshutdown5.50e-5fluid_contamHydraulic fluidcontamination…2.50e-5blue_lostBlue system lost2.14e-4blue_pumpBlue electric pumpfails1.55e-4blue_leakBlue line rupture4.00e-6ac_bus_lossAC essential buslost3.00e-5fluid_contamHydraulic fluidcontamination…2.50e-5yellow_lostYellow system lost2.04e-4yellow_edpYellow engine-drivenpump fails1.20e-4yellow_leakYellow line rupture4.00e-6eng2_shutdownEngine 2 in-flightshutdown5.50e-5fluid_contamHydraulic fluidcontamination…2.50e-5Top event probability (exact)2.50e-5Minimal cut sets28Smallest cut set order1Single points of failure1Mission time5 hRepeated basic events1Exact top-event probability 2.50e-5 · rare-event sum ΣP(cut set) 2.50e-5The cut sets barely overlap here, so the rare-event sum happens to agree with the exact answer.Minimal cut sets — by order, then probability1. {fluid_contam} order 1 P 2.50e-5 100% of the top ← single point of failure2. {green_edp, blue_pump, yellow_edp} order 3 P 2.23e-12 0% of the top3. {green_edp, blue_pump, eng2_shutdown} order 3 P 1.02e-12 0% of the top4. {eng1_shutdown, blue_pump, yellow_edp} order 3 P 1.02e-12 0% of the top5. {eng1_shutdown, blue_pump, eng2_shutdown} order 3 P 4.69e-13 0% of the top6. {green_edp, ac_bus_loss, yellow_edp} order 3 P 4.32e-13 0% of the top7. {eng1_shutdown, ac_bus_loss, yellow_edp} order 3 P 1.98e-13 0% of the top8. {green_edp, ac_bus_loss, eng2_shutdown} order 3 P 1.98e-13 0% of the top9. {eng1_shutdown, ac_bus_loss, eng2_shutdown} order 3 P 9.07e-14 0% of the top10. {green_edp, blue_pump, yellow_leak} order 3 P 7.44e-14 0% of the top+ 18 further cut sets not listedImportance — Fussell–Vesely (share of current risk) and Birnbaum (potential swing)fluid_contam — Hydraulic fluid contamination (common cause) q 2.50e-5 FV 100% B 1 CR 100%blue_pump — Blue electric pump fails q 1.55e-4 FV 0% B 3.20e-8 CR 0%yellow_edp — Yellow engine-driven pump fails q 1.20e-4 FV 0% B 3.38e-8 CR 0%green_edp — Green engine-driven pump fails q 1.20e-4 FV 0% B 3.38e-8 CR 0%eng2_shutdown — Engine 2 in-flight shutdown q 5.50e-5 FV 0% B 3.38e-8 CR 0%eng1_shutdown — Engine 1 in-flight shutdown q 5.50e-5 FV 0% B 3.38e-8 CR 0%ac_bus_loss — AC essential bus lost q 3.00e-5 FV 0% B 3.20e-8 CR 0%yellow_leak — Yellow line rupture q 4.00e-6 FV 0% B 3.38e-8 CR 0%Rectangle intermediate event · dome AND · shield OR · shield with k/n voting · hexagon INHIBIT with its oval condition · circle basic · diamond undeveloped · triangle transfer

Make it your own.

title "Loss of all hydraulic power — narrowbody transport"
mission 5h                        # one flight leg

top "All three hydraulic systems lost" = AND(green_lost, blue_lost, yellow_lost)

gate green_lost "Green system lost" = OR(green_edp, green_leak, eng1_shutdown, fluid_contam)
gate blue_lost "Blue system lost" = OR(blue_pump, blue_leak, ac_bus_loss, fluid_contam)
gate yellow_lost "Yellow system lost" = OR(yellow_edp, yellow_leak, eng2_shutdown, fluid_contam)

event green_edp "Green engine-driven pump fails" rate=2.4e-5
event yellow_edp "Yellow engine-driven pump fails" rate=2.4e-5
event blue_pump "Blue electric pump fails" rate=3.1e-5
event green_leak "Green line rupture" rate=8.0e-7
event blue_leak "Blue line rupture" rate=8.0e-7
event yellow_leak "Yellow line rupture" rate=8.0e-7
event eng1_shutdown "Engine 1 in-flight shutdown" rate=1.1e-5
event eng2_shutdown "Engine 2 in-flight shutdown" rate=1.1e-5
event ac_bus_loss "AC essential bus lost" rate=6.0e-6
// The one event that is NOT independent between systems.
event fluid_contam "Hydraulic fluid contamination (common cause)" p=2.5e-5