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Marine Engine Combustion Analysis

Contents

Combustion analysis is the discipline of recording cylinder pressure as a function of crank angle or piston volume through the engine cycle and deriving from that record every thermal, mechanical, and diagnostic quantity of interest. On a slow-speed two-stroke main engine, one pressure measurement campaign yields: the indicated work and indicated power per cylinder, the peak firing pressure and compression pressure, the ignition delay and heat-release profile, the cylinder-to-cylinder load balance, and a structured differential diagnosis of injection, compression, and gas-exchange faults. No other single measurement delivers this range.

The engine-imep calculator computes indicated mean effective pressure and indicated power directly from the area and length of an indicator card. The Pmax/Pcomp ratio tool converts measured pressures into the diagnostic ratio that distinguishes timing shifts from fuelling changes.

The mechanical indicator: historical baseline

The technique traces to James Watt’s engine indicator of 1796, adapted to marine diesel by the early 1900s. A mechanical indicator fitted to the indicator cock on the cylinder head drove a stylus against a paper-wrapped drum rotating in proportion to piston travel. The closed loop traced on the paper was the P-V (pressure-volume) diagram; planimetering its area gave the indicated work per cycle.

Marine engineers relied on mechanical indicators until the 1980s. The instruments were accurate enough for cylinder balancing and injection-timing checks, but required the engine to be running at steady load, took skill to fit under the vibration of a working engine, and could not resolve crank-angle timing with better than about 2 to 3 degrees accuracy. The paper roll had to be developed or traced, adding hours to each measurement campaign.

The move to electronic indicators in the 1990s removed all three limitations. Piezoelectric pressure transducers fitted to the indicator valve sample pressure 1,000 to 36,000 times per revolution; crank-angle encoders give sub-degree timing resolution; and the data processor computes every parameter instantly. The physical quantity measured is identical to what Watt’s stylus recorded; the resolution, speed, and analytical depth are categorically different.

Combustion fundamentals: the diesel cycle in a marine engine

Marine diesel engines run the compression-ignition cycle. Air is compressed to a pressure and temperature at which fuel sprayed near top dead centre ignites without a spark. The fuel injection event, the ignition delay, and the subsequent combustion phases impose the pressure history that the indicator records.

On a slow-speed two-stroke engine (the MAN B&W and WinGD families powering most ocean-going bulk carriers, tankers, and container ships), the cycle in one revolution is: exhaust valve opens near bottom dead centre, scavenge ports open as the piston descends further, fresh air displaces exhaust gas through the cylinder, scavenge ports close on the upstroke, the exhaust valve closes, compression begins, fuel is injected near TDC, combustion occurs over the power stroke, and the exhaust valve re-opens to start the next scavenge event. Because every revolution is a power stroke, the two-stroke fires at twice the frequency of a four-stroke at the same RPM; a slow-speed engine running at 80 RPM fires each cylinder 80 times per minute.

The four-stroke medium-speed engine (used as main propulsion on smaller vessels, and universally as auxiliary generator engines) runs a four-stroke Otto-Diesel cycle with separate intake, compression, power, and exhaust strokes. From a combustion analysis standpoint, the four-stroke introduces additional valve events and a pumping loop (negative work done during the gas-exchange strokes) that appear on the full P-V diagram and must be accounted for in the IMEP calculation.

The thermodynamic efficiency of the combustion cycle sets the ceiling on how much fuel energy can become shaft work. Modern slow-speed two-strokes achieve indicated thermal efficiencies of 52 to 55% at full load, meaning 52 to 55% of the fuel’s lower heating value appears as indicated power; the remainder goes to exhaust gas enthalpy (roughly 25%), cooling water (roughly 15%), and radiation. The thermal efficiency calculator evaluates this breakdown from measured heat balance data.

Ignition delay and premixed combustion

After the injector opens, fuel enters the cylinder as a high-velocity spray. The droplets must break up (atomisation), evaporate (vaporisation), and mix with the hot compressed air to a combustible concentration before ignition can occur. This chain takes finite time, measured in degrees of crank angle. The ignition delay on a modern slow-speed engine at full load is typically 1 to 3 degrees; on a cold start at low load, or with very high-viscosity residual fuel at inadequate preheat temperature, it can reach 5 to 8 degrees.

During the delay, the injector continues to deliver fuel. When ignition finally occurs, all the accumulated fuel burns almost simultaneously in the premixed phase, producing a rapid pressure rise. The rate of pressure rise (dp/dθ, in bar per degree) during this phase is the primary driver of combustion roughness: values above 4 to 6 bar/degree are associated with increased bearing fatigue, piston ring hammering, and in severe cases piston crown cracking. MAN Energy Solutions specifies a maximum dp/dθ of 4 bar/degree for ME-series engines at full MCR.

After the premixed phase, combustion transitions to the diffusion-controlled phase, where the rate of fuel burning is limited by the rate of mixing between the remaining unburned fuel spray and the surrounding air. Diffusion combustion produces the broad, lower heat-release plateau visible on the ARHR trace and accounts for 60 to 75% of the total fuel energy in a healthy cycle.

Lambda (excess air ratio) and its effect on combustion

The ratio of actual air supply to the stoichiometric air requirement is the excess air ratio, λ \lambda . At full load on a slow-speed two-stroke, λ \lambda is typically 2.0 to 2.5: there is two to two-and-a-half times the air needed to burn all the fuel. This large air excess is deliberate. It ensures complete combustion, keeps combustion temperatures below the structural limits of the piston and liner, and provides the thermal mass to limit peak pressure rise rates.

At part load, λ \lambda rises further because the fuel flow drops faster than the air flow (governed by turbocharger characteristics). At 50% MCR, λ \lambda on a turbocharged engine may reach 4.0 or higher. High λ \lambda at part load produces lower combustion temperatures, longer ignition delays, and increased cycle-to-cycle variability. The combustion air flow calculator evaluates charge air mass flow from measured conditions.

The two fundamental diagrams

Every combustion analysis system produces variants of two diagrams. Understanding which diagram carries which information is the first skill a marine engineer needs.

The P-V (pressure-volume) indicator diagram

The P-V diagram plots cylinder pressure (bar) against instantaneous cylinder volume (litres, or normalised as V/V_clearance). The closed loop traced over one cycle has an area equal to the net indicated work per cycle. Multiplying by cycle frequency (revolutions per second divided by the number of power strokes per revolution: 1 for a two-stroke, 0.5 for a four-stroke) gives indicated power per cylinder in kilowatts.

Windicated=pdVW_{indicated} = \oint p \, dV

The area calculation is the direct physical meaning of IMEP. Dividing the loop area by the swept volume gives:

IMEP=WindicatedVsIMEP = \frac{W_{indicated}}{V_s}

where Vs V_s is the piston swept volume. IMEP is the average pressure that, applied uniformly over the power stroke, delivers the same net work. For a MAN B&W 6G80ME-C engine at 85% MCR, IMEP runs around 19 to 21 bar; the engine-imep calculator evaluates this from either the card dimensions or the direct power measurement.

The compression line on the P-V diagram follows a polytropic relation:

pVn=constantp \cdot V^n = \text{constant}

For a healthy cylinder, n n falls between 1.32 and 1.36 on a slow-speed two-stroke. A value below 1.30 indicates significant heat loss from ring leakage or liner cracking; above 1.38 suggests the transducer is phase-shifted relative to the true crank position.

The P-V diagram’s weakness is that it compresses the crank-angle time axis non-linearly: the region near TDC (which carries the most thermodynamic information) is compressed into a narrow vertical band at minimum volume, while the gas-exchange loop near BDC spreads across most of the width. The P-theta diagram resolves this.

The P-theta (pressure-crank-angle) diagram

The P-theta diagram plots pressure against crank angle. TDC is the reference at 0 degrees. The compression stroke occupies the left side of the diagram; combustion and expansion fill the right. This representation spreads the combustion region into a legible band of 40 to 60 degrees, making injection timing, ignition delay, peak pressure angle, and combustion duration directly readable.

On a slow-speed two-stroke in good condition at full load, the P-theta diagram shows:

  • Compression rising from scavenge port closure (typically 40 to 45 degrees before TDC on modern engines) to Pcomp at TDC
  • Fuel injection starting 2 to 4 degrees before TDC
  • Ignition delay of 1 to 3 degrees, followed by the start of combustion (SOC) where pressure departs above the extrapolated compression line
  • Rapid pressure rise during the premixed phase to Pmax at typically 3 to 6 degrees after TDC
  • Gradual pressure fall during the diffusion combustion phase and expansion stroke
  • Exhaust valve opening at roughly 120 to 140 degrees after TDC

The diagnostic utility of the P-theta diagram exceeds the P-V diagram for timing and combustion quality questions. The engine performance monitoring (PMI) article covers the workflow by which indicator campaigns are planned, executed, and trended.

The draw card, power card, and light-spring (weak-spring) diagram

Three distinct diagram variants are produced in a full mechanical or electronic indicator campaign, serving different diagnostic purposes.

The power card

The power card is the standard P-V diagram taken with a spring scaled to cover the full firing pressure range (up to 200 bar on modern electronically controlled engines). Its area gives the indicated work; its compression slope gives polytropic index n; its shape near TDC gives Pmax. This is the primary performance card.

The draw card

The draw card is taken over the gas-exchange portion of the cycle (exhaust valve open and scavenge air admission on a two-stroke, or the intake and exhaust strokes on a four-stroke). On a two-stroke, the draw card shows the pressure during the scavenge period: a flat plateau at Pscav while both exhaust and inlet ports are open, followed by the start of compression when the scavenge ports close. Exhaust valve timing faults, scavenge port obstructions, and governor-hunting instabilities are detected here rather than on the power card.

The light-spring (weak-spring) diagram

For mechanical indicators, the “light spring” is a softer spring that expands the pressure axis so the low-pressure gas-exchange region fills the card, at the cost of saturating the high-pressure combustion zone. Electronic indicators produce the equivalent by recording at high gain below 10 to 15 bar and switching gain for the firing pressure. The light-spring diagram resolves exhaust valve bounce (a secondary pressure oscillation during valve opening visible only at high magnification), early or late exhaust valve opening, and the uniformity of scavenge air admission timing across cylinders.

The three-card set from a single cylinder tells a complete mechanical story: the power card for combustion quality, the draw card for gas-exchange timing, and the light-spring diagram for valve events.

Key parameters: definitions and reference values

IMEP and indicated power

Indicated mean effective pressure is derived from the planimetered area of the power card:

IMEP=AcardLcardksIMEP = \frac{A_{card}}{L_{card}} \cdot k_s

where Acard A_{card} is the card area (mm²), Lcard L_{card} is the card stroke length (mm), and ks k_s is the spring constant (bar per mm of card height). For a six-cylinder slow-speed engine, indicated power per cylinder is:

Pindicated,cyl=IMEPVsnrev60P_{indicated,cyl} = \frac{IMEP \cdot V_s \cdot n_{rev}}{60}

where nrev n_{rev} is the engine speed in RPM and Vs V_s is swept volume in litres (divide by 1000 to get kW from bar and litres). Cylinder-to-cylinder IMEP variation of more than 3 bar on a slow-speed engine warrants fuel rack adjustment. A spread exceeding 5 bar on a well-maintained engine points to a mechanical fault on the outlier cylinder.

Pcomp: compression pressure and its diagnostic role

Pcomp is the pressure at TDC on the compression stroke before combustion. On an electronic PMI system it’s extracted by extrapolating the polytropic compression line to TDC; on a mechanical system a compression card is taken with fuel cut off to one cylinder (compression test).

MAN Energy Solutions specifies Pcomp for each engine model at reference conditions; typical values for 80 mm bore slow-speed engines at full load run 130 to 155 bar. The Pcomp analysis article covers the full measurement method and fault differential diagnosis.

Pcomp depends on: scavenge air pressure (Pscav), the polytropic index n, and cylinder sealing integrity. A 10% drop in Pcomp from the reference value on an isolated cylinder while Pscav is normal almost always indicates ring or liner leakage. A 10% drop on all cylinders simultaneously with normal Pscav points to a wrong timing reference (TDC sensor offset) or systematic sensor error. The Pcomp calculator evaluates the ratio against Pmax.

Pmax: peak firing pressure and the Pmax/Pcomp ratio

Pmax is the highest pressure observed in the cycle, occurring 3 to 8 degrees after TDC on optimally timed slow-speed engines. It is the primary structural limit: engine makers specify absolute Pmax limits (typically 180 to 210 bar on modern ME/ME-C engines) that must not be exceeded under any operating condition because the loads govern piston, connecting rod, crosshead, and crankshaft design margins.

The ratio Pmax/Pcomp is the single most informative scalar from a combustion analysis campaign. On a correctly timed, correctly fuelled cylinder:

PmaxPcomp1.35 to 1.55\frac{P_{max}}{P_{comp}} \approx 1.35 \text{ to } 1.55

A ratio above 1.60 on an isolated cylinder with normal Pcomp means the fuel rack is over-delivering to that cylinder, or the injection timing is advanced relative to the others. A ratio below 1.25 with normal Pcomp means retarded timing, poor atomisation, or a partial blockage in the fuel valve. The Pmax article develops the diagnostic tree in full.

The relationship between Pmax and injection timing is approximately linear for small timing shifts: advancing injection 1 degree advances Pmax angle by about 1 degree and raises Pmax by 1 to 3 bar on a slow-speed engine. This relationship is exploited by the PMI Autotune function (MAN ME engine EICU adaptive tuning, covered below) to converge on the target Pmax with minimum operator intervention.

Heat-release analysis and the apparent rate of heat release

The apparent rate of heat release (ARHR) is derived from the P-theta trace by applying the first law of thermodynamics to the gas in the cylinder:

dQdθ=γγ1pdVdθ+1γ1Vdpdθ\frac{dQ}{d\theta} = \frac{\gamma}{\gamma - 1} \cdot p \cdot \frac{dV}{d\theta} + \frac{1}{\gamma - 1} \cdot V \cdot \frac{dp}{d\theta}

where θ \theta is crank angle, p p is cylinder pressure, V V is instantaneous volume, and γ \gamma is the ratio of specific heats (typically taken as 1.35 for diesel combustion products). The “apparent” qualifier acknowledges that the equation lumps heat transfer to the cylinder walls into the net heat-release term, so the ARHR underestimates the true fuel energy release rate; wall heat-loss corrections require additional modelling.

Despite this approximation, the ARHR trace is a powerful diagnostic tool. A healthy slow-speed two-stroke shows two distinct phases on the ARHR curve:

  1. A sharp, narrow premixed peak occurring within 3 to 5 degrees of SOC, driven by the fuel accumulated during the ignition delay period burning rapidly.
  2. A broader, lower diffusion-combustion plateau extending 15 to 40 degrees, corresponding to spray-driven mixing and burnout.

An unusually tall premixed peak indicates a long ignition delay (cold start, degraded fuel quality, or severely retarded timing); the large accumulated fuel charge burns explosively and produces high cylinder-pressure-rise rates and rough combustion. A low, prolonged ARHR trace with no distinct premixed phase indicates late or partial injection, worn nozzle holes producing poor atomisation, or a blocked nozzle.

The integral of the ARHR curve is the total heat released per cycle. Comparing this integral against the fuel energy content (mass injected times lower heating value) gives the combustion efficiency, which on a healthy modern slow-speed engine exceeds 99.5%. The thermal efficiency calculator converts indicated and brake performance data into the standard efficiency metrics.

Cylinder balancing using exhaust temperatures and IMEP

A combustion analysis campaign on a multi-cylinder engine is not complete until the results are compared across cylinders and balanced. Two measurement streams feed cylinder balance: the IMEP from the indicator campaign, and the exhaust gas temperature (EGT) measured continuously by the engine monitoring system.

IMEP is the primary load indicator. EGT responds to both the heat release and the timing of that release relative to TDC: a cylinder with retarded timing burns a similar mass of fuel but delivers more energy to the exhaust gas and less to the crankshaft, giving a high EGT with a lower IMEP than its neighbours.

MAN Energy Solutions provides balance criteria for ME series engines in the engine room telegraph (ERT) system: the maximum allowable difference between the highest and lowest cylinder EGT is typically 50°C at full load (the exact value is engine-model-specific and listed in the stability booklet). EGT spread exceeding this limit triggers investigation via combustion analysis. The cylinder balance calculator computes the IMEP spread and flags imbalance against the reference band.

A four-step balancing procedure used in practice:

  1. Record EGT across all cylinders at the current load. Identify the hot and cold outliers.
  2. Run a PMI campaign on the outlier cylinders. Compare Pmax, Pcomp, IMEP, and the Pmax angle for each outlier against the fleet average.
  3. Adjust fuel pump index (or, on ME engines, fuel injection timing and index via the EICU) on the outlier cylinders to bring Pmax and IMEP to the target band.
  4. Record EGT again after stabilisation (typically 30 minutes). Iterate if spread remains above limit.

On ME-C and ME-GI engines the EICU adaptive self-tuning (Autotune) can execute steps 3 and 4 automatically within the bounds set by the operator. The PMI article covers the Autotune workflow and its interaction with load-change transients.

Diagram types: comparison table

Diagram typeAxis pairPrimary useFaults detected
P-V power cardPressure vs. volumeIndicated work, IMEPLoad per cylinder, compression index
P-theta diagramPressure vs. crank angleTiming, Pmax angle, SOCInjection timing, ignition delay, peak pressure
Draw cardPressure vs. volume (gas exchange)Scavenge & exhaust timingScavenge port obstruction, governor hunting
Light-spring diagramPressure vs. crank angle (low P range)Valve event timingExhaust valve bounce, early/late valve opening
Heat-release tracedQ/dθ vs. crank angleCombustion phase structureIgnition delay, poor atomisation, after-burn

Electronic PMI systems: DEPAS, MARLIN, Kistler, PMI Autotune

Modern electronic indicator systems replaced the mechanical indicator from the late 1980s onwards. Four systems are most widely deployed on ocean-going vessels.

DEPAS (Doctor diesel Engine Performance Analysis System) is a portable battery-powered unit connecting to the indicator cock via a piezoelectric transducer. Its software computes P-V and P-theta diagrams, IMEP, Pmax, Pcomp, and heat-release traces. The system gained wide adoption on slow-speed two-strokes because it can be operated by the chief engineer without yard support and stores trend data across multiple campaigns. Doctor diesel was acquired by Wärtsilä but the DEPAS product line continues.

MARLIN (formerly Premet, now supplied by Lemag) is a comparable portable system with particular strength in trend database management. Fleet operators running 20 to 30 vessels use MARLIN to centralise all PMI campaigns and compare engine performance across the fleet under comparable load and ambient conditions.

Kistler supplies the piezoelectric transducers that most electronic indicators use, as well as complete combustion analysis systems under the KiBox brand. KiBox runs as a permanent online system sampling at up to 36,000 samples per revolution, producing real-time IMEP, Pmax, and heat-release data for closed-loop control. Classification societies accept KiBox data as part of condition-monitoring programmes under IACS UR M51.

PMI Autotune is MAN Energy Solutions’ term for the adaptive injection-timing algorithm embedded in the Electronic Control Unit (EICU) of ME and ME-C series engines. The EICU reads the online pressure transducer on each cylinder and adjusts the FIVA valve timing (hydraulically actuated exhaust valve and fuel injection timing) to converge IMEP and Pmax toward the target values without manual intervention. The Autotune loop runs at every loaded condition change and after any fuel index adjustment. Its target band is ±1 bar IMEP and ±3 bar Pmax across cylinders. The operator can override or widen the band via the engine control console.

WinGD’s equivalent on X- and RT-flex series engines is the engine management system (EMS), which similarly reads cylinder pressure and adjusts common-rail injection timing and quantity in real time. The WinGD approach uses direct crank-angle feedback rather than the cam-driven FIVA; the diagnostic and balancing outputs are structurally identical to MAN’s, with different human-machine interface menus.

Fault signatures on the indicator diagram

FaultPcompPmaxPmax angleEGTIMEPARHR shape
Retarded injection timingNormalLowLate (>8° ATDC)HighLow-normalBroad, no sharp premixed peak
Advanced injection timingNormalHighEarly (<3° ATDC)Normal-lowNormal-highSharp premixed peak, steep rise
Leaking exhaust valve (4-stroke)LowLowNormalHighLowReduced premixed peak
Worn piston rings / linerLowLowNormalHighLowReduced area
Blocked / worn fuel nozzleNormalLowLateHighLowFlat, no premixed peak
Fouled turbochargerLow (all cyls)Low (all cyls)Late (all)High (all)Low (all)Prolonged diffusion phase
Over-fuelling (rack)NormalHighNormalHighHighEnlarged card area
Air start valve leakageLow (isolated)Low (isolated)NormalNormalLowEarly pressure deviation

The table summarises the differential diagnosis. On a slow-speed two-stroke, “leaking exhaust valve” presents the same way as “worn rings” in the Pcomp column; the discrimination comes from the draw card, which shows an anomalous pressure trace during the exhaust-valve-open period for a valve fault but not for ring leakage.

Peak in-cylinder temperature during the premixed combustion phase drives thermal NOx production via the Zeldovich mechanism. The Zeldovich rate is approximately:

d[NO]dt[O2]0.5[N2]exp ⁣( ⁣38,000T)\frac{d[NO]}{dt} \propto [O_2]^{0.5} \cdot [N_2] \cdot \exp\!\left(\!\frac{-38{,}000}{T}\right)

where T T is the local flame temperature in kelvin. The exponential dependence on temperature means that small changes in peak temperature produce large changes in NOx yield. On a marine diesel engine, Pmax (and its angle relative to TDC) is the best available proxy for peak flame temperature, because the adiabatic flame temperature at TDC compression conditions correlates closely with the overall heat-release profile.

Retarding injection timing reduces Pmax and combustion temperature, cutting NOx output. MARPOL Annex VI Reg.13 sets Tier I limits (applicable to engines built from 1 January 2000), Tier II limits (engines built from 1 January 2011), and Tier III limits (engines operating in designated emission control areas from 1 January 2016 under MEPC.328(76)). Tier III requires 80% NOx reduction compared to Tier I, which cannot be achieved by timing retard alone and requires selective catalytic reduction (SCR) or exhaust gas recirculation (EGR). The NOx tier comparison article covers the regulatory thresholds. The Zeldovich NOx calculator estimates thermal NOx production from flame temperature and residence time inputs.

The combustion-NOx-SFOC interaction is the practical challenge in engine tuning. Retarding timing improves NOx compliance but raises exhaust gas temperature, increases heat rejection to cooling water, and worsens specific fuel oil consumption (SFOC). The sensitivity of SFOC to charge air temperature is evaluated by the SFOC-air-temperature sensitivity calculator. Optimum timing balances all three constraints; the indicator diagram is the measurement that confirms the setting is achieving the intended thermodynamic result.

Combustion analysis and SFOC: what the diagram reveals

SFOC (specific fuel oil consumption, in g/kWh) is the ratio of fuel mass flow to shaft power. On a shaft-monitored vessel, SFOC is measured directly. On a non-shaft-monitored vessel, indicated SFOC can be approximated from combustion analysis:

SFOCindicated=m˙fuelPindicated×3600×106  g/kWhSFOC_{indicated} = \frac{\dot{m}_{fuel}}{P_{indicated}} \times 3600 \times 10^6 \; \text{g/kWh}

where m˙fuel \dot{m}_{fuel} is fuel mass flow in kg/s and Pindicated P_{indicated} is total indicated power in kW. The mechanical efficiency (ratio of brake to indicated power) of a well-maintained slow-speed engine is 0.92 to 0.96; multiplying gives brake SFOC for comparison against the engine shop-test certificate.

A rise in SFOC between periodic measurement campaigns, with no change in hull condition or propeller fouling, is almost always attributable to combustion or mechanical inefficiency. Combustion analysis localises the fault: if one cylinder shows low IMEP, it is consuming fuel without producing proportional work; if all cylinders show normal IMEP but brake SFOC is high, the loss is mechanical (friction, auxiliary drives, or an incorrect tachometer reading). The BTE-from-SFOC calculator and combustion air flow calculator support this analysis numerically.

Practical measurement procedure

A combustion analysis campaign on a slow-speed main engine follows a structured sequence that directly affects the reliability of the results.

Preparation. The engine must reach thermal steady state before records are taken: oil and cooling water temperatures at normal operating values, turbocharger inlet temperature stable, and the load held constant for at least 30 minutes. The indicator cocks on all cylinders are checked to confirm they are not blocked. On two-stroke engines where indicator cocks are fitted to the cylinder cover, the sealing plugs are replaced with the instrument adapter caps, and the transducer leads are routed clear of moving parts.

TDC verification. Before the first cylinder is measured, the TDC reference is checked. On a vessel with a dial gauge fitted to the engine, the mechanical TDC mark is compared to the electronic encoder reading. On vessels without this facility, a comparative method is used: the compression line from the first cylinder is fitted to a polytropic model and the TDC is adjusted until the predicted Pcomp from the model equals the measured Pcomp, assuming the polytropic index n is within the expected range of 1.32 to 1.36. A TDC offset exceeding 0.5 degree invalidates crank-angle-referenced parameters and must be corrected before proceeding.

Recording sequence. Cylinders are measured in firing order to avoid the confusion of comparing cylinders in mechanical sequence. For each cylinder, the software records 50 to 200 consecutive cycles, computes the ensemble average P-V and P-theta diagrams, and extracts IMEP, Pcomp, Pmax, Pmax angle, SOC angle, and ignition delay. The full record is archived together with the load, speed, charge air temperature, charge air pressure, fuel temperature, and atmospheric conditions at the time of recording.

Load conditions for reference campaigns. Class societies and engine makers specify that reference campaigns (those used to set baselines for future comparison) should be taken at 85% MCR or the nearest stable load point above 80% MCR. The reason is that below 75% MCR, turbocharger characteristics shift by a measurable margin, changing the air supply in a way that makes Pcomp and IMEP comparison with full-load references unreliable without correction factors. Campaigns taken at intermediate loads (50 to 75%) have diagnostic value for identifying cylinder faults under reduced load, but should not be compared directly against the full-load reference without load correction.

Post-campaign analysis. The chief engineer reviews the results against three reference sets: the engine builder’s shop test values (corrected to current ambient conditions), the last reference campaign taken on board, and the upper and lower action limits specified by the planned maintenance system. Any parameter outside the action limits triggers a written corrective action record in the maintenance log, with the planned date for follow-up measurement after any intervention.

Integration with electronic monitoring and class requirements

Classification societies have formalised combustion analysis requirements within their condition-based maintenance (CBM) schemes. DNV requires periodic cylinder pressure measurement as part of its CBM notation. Lloyd’s Register and Bureau Veritas accept electronic indicator data as supporting evidence for extended intervals between planned overhauls. IACS Unified Requirement M51 specifies the type-testing procedures for diesel engines that verify the engine design supports indicator-based monitoring.

For engines with continuous online cylinder pressure monitoring (Kistler KiBox, PMI Autotune, or WinGD EMS), class societies may accept the online data stream in lieu of periodic portable campaigns, reducing the workload on the ship’s engineering staff. The condition for acceptance is that the system is calibrated against a reference portable campaign at installation and after any transducer replacement.

The integration of combustion analysis data into fleet performance monitoring platforms (MAN COSSMOS, WinGD OCEAN, Wärtsilä Fleet Intelligence) extends the diagnostic reach from the individual ship to the fleet. A fleet operator with 20 vessels of the same engine model can benchmark individual ship performance against the fleet median and flag outliers for investigation before the next scheduled drydock.

Limitations of combustion analysis

Transducer calibration drift. Piezoelectric pressure transducers are subject to thermal drift, particularly during the warm-up phase of a measurement campaign. A transducer that is not temperature-stabilised before recording will give Pcomp values 3 to 8 bar high, leading to false diagnoses of advanced timing. Good practice is to run the engine for at least 30 minutes at the target load before taking the formal records.

TDC reference error. The single largest source of systematic error in a portable campaign is an incorrect TDC reference. A 1-degree error in TDC shifts all crank-angle-referenced parameters (Pmax angle, SOC angle, ignition delay) by 1 degree and shifts calculated IMEP by 1 to 3%. Verifiable TDC marks (capacitive sensor, optical sensor on crankshaft, or a comparison campaign with a known-good reference) are essential before interpreting timing data.

Single-cycle sampling vs. ensemble averaging. Diesel combustion is inherently cyclic-variable: peak pressure varies by 2 to 10 bar cycle to cycle on a healthy engine, and more on an engine with injection irregularities. A single-cycle record of Pmax can be 5 bar above or below the true mean. Electronic indicators average over 50 to 200 cycles to produce the reference value; portable instruments that record fewer cycles have correspondingly higher uncertainty.

Turbocharger-engine interaction. On a turbocharged engine, scavenge air pressure (Pscav) depends on turbocharger condition, exhaust backpressure, and engine load. A fouled compressor or turbine changes the thermodynamic baseline for the entire engine. Combustion analysis without a concurrent turbocharger performance check (compressor inlet pressure and temperature, turbine outlet temperature, compressor speed) cannot fully separate combustion faults from air supply faults.

Heat-transfer model limitations. The ARHR calculation assumes isentropic compression walls (or applies a simplified heat-transfer correction). Actual heat transfer to cylinder walls, piston crown, and exhaust valve depends on cooling water temperature, liner surface condition, and combustion chamber geometry, none of which are measured during a standard combustion analysis campaign. The ARHR integral therefore cannot be directly compared against the fuel lower heating value to give combustion efficiency without additional wall-heat-loss modelling.

Load-point sensitivity. All reference values (Pmax, Pcomp, IMEP, EGT) depend on engine load and ambient conditions. A campaign recorded at 75% MCR cannot be directly compared against the shop-test values taken at 85% MCR without correction. Engine makers supply correction curves; the crew must record load, charge air temperature, and fuel temperature at the time of the campaign so the corrections can be applied.

See also

Calculators

Frequently asked questions

What does IMEP measure on a marine engine?
Indicated mean effective pressure (IMEP) is the area of the indicator diagram divided by the piston stroke, scaled by spring factor. It represents the average pressure that would deliver the same work as the actual combustion cycle. Comparing IMEP across cylinders identifies load imbalance; a 3-5 bar difference between the highest and lowest cylinders on a slow-speed two-stroke is the typical trigger for investigation.
How do you read injection timing from a P-theta diagram?
On the P-theta diagram, the deviation of the pressure trace from the polytropic compression line marks the start of combustion (SOC). The angle between the injection event (read from the fuel pump timing or FIVA log) and SOC is the ignition delay, typically 1-3 degrees crank angle at full load on a slow-speed two-stroke. Advancing injection shifts SOC and Pmax toward TDC; retarding shifts them away.
What causes a low Pcomp on one cylinder?
Low compression pressure on an isolated cylinder points to gas leakage from that cylinder: worn or broken piston rings, a cracked or excessively worn cylinder liner, a leaking exhaust valve on a four-stroke engine, or a leaking air start valve. The polytropic index n on the compression line will fall below the reference value of 1.32-1.36 when ring or liner leakage is significant.
What is a light-spring (weak-spring) diagram?
A light-spring diagram is produced by fitting a low-rate spring in the mechanical indicator or selecting the low-gain range on an electronic indicator. The lower pressure range resolves the valve-opening and gas-exchange portion of the cycle that the power card compresses to near-zero. The draw card is a variant that shows only the gas-exchange loop. Both are used to detect exhaust valve bounce, early valve opening, and scavenge port timing.
How does combustion analysis connect to NOx emissions?
Peak in-cylinder temperature during the premixed combustion phase is the dominant driver of thermal NOx via the Zeldovich mechanism. Pmax and the rate of pressure rise are proxies for peak temperature. Retarding injection timing lowers Pmax and reduces NOx at the cost of higher exhaust temperature and worse SFOC. Engine tuners use combustion analysis to find the injection setting that satisfies both the MARPOL Annex VI NOx Tier limit and the SFOC contract.