Reference Tables
Common overpressure contingencies (fire, blocked outlet, control failure, tube rupture, etc.) and the API 521 / 520 sizing basis for each.
API 521 Relief Contingency Matrix · Source: API STD 521 (7th Ed) §4 'Causes of Overpressure'
| Contingency | API 521 § | Double-jeopardy allowed? | Typical sizing basis |
|---|---|---|---|
| Blocked outlet (closed valve) | §4.2 | No — always single | Total inlet flow @ relief T,P |
| Tube rupture (HX HP shell, LP tube) | §4.4.8 | Yes vs. coincident | API 521 §4.4.8 choked/2-phase |
| Fire exposure — gas-filled | §4.4.13 | Yes — unlikely combo | API 521 eq 5: Q=21000·F·A⁰·⁸² |
| Fire exposure — liquid wetted | §4.4.13 | Yes | Q=C₁·F·A^0.82; latent-heat flash |
| Control valve failure (FO/FC) | §4.3 | No | Full open Cv at max inlet P |
| Thermal expansion (liquid blocked in) | §4.4.2 | Yes | API 521 §4.4.2 — small RV |
| Power failure (pumps trip, no cooling) | §4.4.3 | No — common-mode | All cooling lost, reflux off |
| Instrument air failure | §4.4.4 | No — common-mode | All pneumatic valves fail-safe |
| Cooling water failure | §4.4.5 | No — common-mode | All HX non-condensing |
| Loss of fan / air-cooler | §4.4.5 | Yes | Single cell or all, per design |
| Reflux failure | §4.4.6 | Yes | Reflux pump trip, no recovery |
| Overfilling (liquid) | §4.4.9 | Yes | Max inlet flow, 2-phase capable |
| Chemical reaction (runaway) | §4.4.11 | No if catalyst load | DIERS method; 2-phase |
| Vapor displacement from filling | §4.4.12 | Yes | Max fill rate x liquid vapor |
| Utility cooling medium loss (refrig) | §4.4.7 | No | All refrigerant vapor from HX |
Back-Pressure Correction Factor K_b (Balanced Bellows) · Source: API 520 Pt 1 §5.4.1.5 Fig 30 (vapor service, balanced bellows) · Conventional: K_b=1.0 for Pb/Pset <= 0.30; derate for higher built-up.
| Pb/Pset (gauge) | 10% overpressure | 16% overpressure | 21% overpressure | 25% overpressure |
|---|---|---|---|---|
| 0.3 | 1 | 1 | 1 | 1 |
| 0.35 | 0.99 | 1 | 1 | 1 |
| 0.4 | 0.97 | 0.99 | 1 | 1 |
| 0.45 | 0.94 | 0.98 | 0.99 | 1 |
| 0.5 | 0.89 | 0.95 | 0.98 | 0.99 |
| 0.55 | 0.83 | 0.92 | 0.96 | 0.98 |
| 0.6 | 0.75 | 0.88 | 0.93 | 0.96 |
| 0.65 | 0.65 | 0.82 | 0.89 | 0.93 |
| 0.7 | 0.54 | 0.75 | 0.84 | 0.9 |
| 0.75 | 0.42 | 0.66 | 0.77 | 0.85 |
| 0.8 | 0.29 | 0.54 | 0.68 | 0.78 |
API 520 Sizing Correction Factors
| Factor | Typical value | Source / Notes |
|---|---|---|
| K_d (discharge coeff., vapor) | 0.975 (certified) / 0.62 (preliminary) | API 520 §5.4.1.1 — use MFG cert |
| K_d (liquid) | 0.65 (certified) / 0.62 (prelim) | API 520 §5.7 — use MFG cert |
| K_c (rupture disc upstream) | 0.9 with disc / 1.0 w/o | API 520 §5.4.1.3 |
| K_w (liquid back-press.) | Fig 35 API 520 Pt1 | 1.0 if Pb/Pset < 15% |
| K_v (viscosity) | 1.0 if Re > 100,000; else Fig 36 | API 520 §5.8.3 |
| K_n (Napier for steam >1500 psia) | Eq (14) API 520 §5.6.3 | For steam only, above 1515 psia |
| K_sh (superheat, steam) | Fig 37 API 520 | <1.0 above sat T |
| K_b (vapor back-pressure) | See Backpressure_Kb sheet | Balanced bellows only |
| Z (compressibility) | Calculate from Tr, Pr via Lee-Kesler | API 520 §5.5.3 |
| C (gas constant) | Table 8 API 520 — function of k=Cp/Cv | e.g. k=1.0→315, k=1.4→356, k=1.67→378 |
| F (fire environment factor) | 0.3-1.0 per API 521 Tbl 5 | Insulated & drained = 0.3; bare = 1.0 |
API 526 Orifice Areas & Flow Capacity · Source: API STD 526 (8th Ed, 2023) Table 1
| Letter | Effective area (in²) | Inlet x Outlet | Service range |
|---|---|---|---|
| D | 0.11 | 1 x 2 | Small PSVs, thermal relief |
| E | 0.196 | 1 x 2 | Small process |
| F | 0.307 | 1.5 x 2 | Process |
| G | 0.503 | 1.5 x 3 | Process |
| H | 0.785 | 1.5 x 3 | Process |
| J | 1.287 | 2 x 3 | Process |
| K | 1.838 | 3 x 4 | Process |
| L | 2.853 | 3 x 4 | Process |
| M | 3.6 | 4 x 6 | Large units |
| N | 4.34 | 4 x 6 | Large units |
| P | 6.38 | 4 x 6 | Major relief |
| Q | 11.05 | 6 x 8 | Major relief |
| R | 16 | 6 x 8 | Major relief |
| T | 26 | 8 x 10 | Fire / depressuring |
Key Installation Rules — API 520 Part 2 (7th Ed)
| Item | Rule | Section |
|---|---|---|
| Inlet pressure drop (non-modulating) | ≤ 3% of set pressure at rated flow | §4.2.2 |
| Inlet pressure drop (modulating pilot) | ≤ as-installed pilot tolerance (typically 7%) | §4.2.2 |
| Discharge to flare - built-up BP | ≤ 10% of set for conv; ≤ 50% for bellows | §4.3.2 |
| Discharge to flare - superimposed BP | Check each mode; may require bellows | §4.3.1 |
| Block valves upstream | Full-port, car-sealed open, locked per OSHA | §4.5.1 |
| Block valves downstream | Full-port, car-sealed open | §4.5.2 |
| Inlet piping orientation | No horizontal pockets; self-draining to vessel | §4.2.4 |
| Rupture disc upstream of PSV | Allowed with K_c=0.9; excess-flow monitor req. | §4.4 |
| Multiple PSVs | Stagger set pressures ≤ 105% MAWP max | §4.6 |
| Test / calibration interval | 5 yr max for clean, 2-3 yr for fouling | API RP 576 |
Source: API_520_Relief_Contingency_Reference_v1.xlsx
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