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Rotating Equipment · Compressors

Compressors: the map, the heat, and surge

A compressor is a pump for gas — but because gas is compressible, three things change everything: the work heats it sharply, the same machine can run on a map of speed lines instead of one curve, and it can do something a pump never does — surge, a violent flow reversal that can wreck it in seconds. This guide covers the two great families of compressor, the thermodynamics that makes them hot and why staging fixes it, and the centrifugal compressor map with its all-important surge line — with two live models.

Polytropic headSurge & chokeStagingAPI 617 / 618
⚡ TL;DR

Two families: positive-displacement (reciprocating, screw) trap and squeeze a fixed volume — high pressure ratio, flow nearly independent of pressure; and dynamic (centrifugal, axial) add velocity then convert it to pressure — huge flow, flow that falls as pressure rises.

Compression heats the gas (T₂/T₁ = rp^((n−1)/n)). Staging with intercooling caps the discharge temperature and cuts the power toward the isothermal ideal — the second model shows how much.

A dynamic compressor runs on a map of speed lines bounded by surge on the left (flow reversal — destructive) and choke on the right. An anti-surge recycle valve keeps the operating point safely right of the surge line. The first model lets you drive it into — and out of — surge.

1 · A pump for gas — and why that’s different

Mechanically a compressor and a pump are cousins: both add energy to a fluid to raise its pressure. The difference is that liquids are essentially incompressible and gases are not. Squeeze a gas and its volume shrinks, its density rises, and — crucially — its temperature climbs. That single fact drives most of what makes compressors their own discipline:

If you have read the pump fundamentals guide, much will rhyme — pump curves, the affinity laws, BEP — but each idea gains a thermodynamic twist here.

2 · The two families

Every compressor falls into one of two camps, distinguished by how it raises pressure:

Positive displacementDynamic (turbo)
Traps a fixed volume and mechanically reduces it.Accelerates the gas with an impeller/blades, then a diffuser converts velocity to pressure.
Reciprocating (pistons), screw, scroll, rotary-vane, diaphragm.Centrifugal (radial), axial.
High pressure ratio per stage; modest flow.Very high flow; modest pressure ratio per impeller (so multiple stages).
Flow is nearly constant with discharge pressure (a near-vertical curve).Flow falls as discharge pressure rises (a drooping curve) — and can surge.
API 618 (recip), API 619 (screw).API 617. The workhorse for large gas service.

The rule of thumb: need a lot of pressure from a modest flow (a small high-pressure gas stream, hydrogen make-up, a reciprocating duty) → positive displacement. Need to move a great deal of gas at a moderate ratio (pipeline boosting, refrigeration, air separation, process gas) → dynamic. Screw compressors sit usefully in the middle for air and refrigeration.

3 · The thermodynamics: why it gets hot, and why staging helps

Compressing a gas from P₁ to P₂ always raises its temperature. The path depends on how much heat escapes during compression:

T₂ / T₁ = rp^((n−1)/n)   with  (n−1)/n = (k−1)/(k·ηp) rp = P₂/P₁, k = cp/cv. The discharge temperature climbs with pressure ratio — and the lower the efficiency, the hotter, because the lost work turns into heat in the gas.

Two consequences are practical and constant: a high single-stage ratio can drive the discharge temperature past what the metal, the gas, or the lube oil will tolerate (a hard ceiling, often ~150–200 °C); and more work is spent than necessary because you are compressing hot, low-density gas. Staging with intercooling solves both — split the ratio across stages and cool the gas back down between them. Each stage stays cooler, and because each later stage compresses cold (denser) gas, the total power falls toward the isothermal ideal. The model makes the trade-off concrete:

Interactive — Staging & intercooling

Live model
Gas
P₂/P₁ across the whole machine
Intercooled back to inlet temp between each
Suction gas temperature (T₁)
How close to reversible (ηp)
Throughput (ṁ)
Discharge temp / stage
°C
per stage
Shaft power
kW
total, all stages
Power saved
%
vs single stage
Ratio per stage
rp^(1/n)
Shaft power vs number of stages
Diminishing returns toward the isothermal limit
polytropic powerisothermal limitthis many stages
Model: per-stage rp,st = rp^(1/N), (n−1)/n = (k−1)/(k·ηp), polytropic head H = (1/m)·R·T₁·(rp,st^m − 1) with R = cp(k−1)/k; shaft power = ṁ·N·H/ηp, each stage intercooled back to T₁. Ideal-gas, constant properties, perfect intercooling assumed — illustrative, not for design (real plants add intercooler ΔT, pressure drop and an EOS).

4 · The compressor map & surge

A centrifugal compressor doesn’t have a single curve — it has a map. For each running speed there is a curve of pressure ratio versus inlet flow, and because of the affinity laws (flow ∝ speed, head ∝ speed²) faster speeds sit higher and to the right. Overlay them and you get the family of speed lines, often with efficiency “islands” drawn on top. The machine’s usable world is bounded on two sides:

The whole art of operating a dynamic compressor is staying in the band between them — and well clear of the surge line. Drive the model below into surge, then open the recycle valve and watch it recover:

Interactive — Compressor map & surge

Live model
Fraction of design speed
What the plant is drawing
Recycles gas back to suction to add machine flow
Pressure ratio
at the operating point
Machine flow
%
process + recycle
Surge margin
%
flow above the surge line
Recycle power
%
wasted on recycle
The compressor map
Speed lines, the surge line (left) and choke (right)
speed linessurge lineanti-surge control lineoperating point
Model: illustrative centrifugal map. Each speed line uses affinity scaling of a normalised head shape; the surge line is the locus of the curves’ left (peak) limit, and the dashed anti-surge control line sits a flow margin to its right. Opening the recycle valve adds flow through the machine (returned to suction) to push the operating point right of the surge line — exactly how a real anti-surge controller protects the compressor, at the cost of the recycled power. Numbers are normalised, not a specific machine.

Anti-surge control: the recycle valve

Because surge is so destructive, every dynamic compressor has an anti-surge (recycle) system. A controller watches the operating point relative to the surge line; as flow falls toward the anti-surge control line (a margin to the right of true surge), it opens a recycle valve that routes discharge gas back to the suction. That extra flow keeps the machine safely loaded even when the process demand collapses — during start-up, trips, or turndown. It works, but every kilogram recycled is compressed for nothing, so the recycle gas is hot and the power is wasted; good control sits just clear of surge, not far from it. You saw both effects in the model: open the valve and the operating point marches right, away from surge, while the “recycle power” climbs.

5 · Reciprocating compressors & the PV diagram

Positive-displacement machines tell their story through the PV (indicator) diagram — pressure versus cylinder volume over one revolution. It is to a reciprocating compressor what the map is to a centrifugal one:

P V P₂ discharge P₁ suction compression discharge clearance re-expansion suction clearance
The reciprocating cycle: the piston compresses trapped gas up to P₂, pushes it out (discharge), then the gas left in the clearance volume re-expands as the piston returns, delaying suction. Bigger clearance → lower volumetric efficiency.

Two ideas fall straight out of that loop:

6 · What goes wrong

FailureWhere & why
Surge damageDynamic machines run too close to (or into) the surge line — thrust-bearing and seal damage, blade fatigue. Prevent with anti-surge control and monitoring.
Valve failureReciprocating cylinders — fatigue, fouling, sticking. The dominant recip maintenance cost.
FoulingDeposits on impellers/internals shift the map left and rob efficiency — wash or clean on condition.
Seal & bearing wearDry-gas seals, oil seals, journal & thrust bearings — the same rotating-equipment failure modes as pumps, at higher stakes.
Lube-oil & coolingHigh discharge temperatures stress oil and intercoolers; degraded cooling pushes temperatures past limits.

The same reliability toolkit applies. Compressors are prime candidates for the methods in the rest of the Academy: vibration analysis for rotordynamic and surge symptoms, alignment & balancing for the train, thermography on coolers and bearings, and online predictive monitoring tying it all into the CMMS. The criticality of large compressors usually puts them at the top of any RCM study.

Key takeaways

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