Critical altitude — the altitude up to which the turbocharger can maintain the rated manifold pressure: the waste gate reaches fully closed there, and above it power falls with the atmosphere.
Full-throttle height — the altitude at which the throttle must be fully open to hold a chosen boost: each power setting has its own, and climbing above it means accepting less than the chosen boost.
Rated altitude — the full-throttle height for the rated power: the highest altitude at which the engine still delivers its rated output, which is the critical-altitude story told from the throttle's side.
Turbo lag and the intercooler
Turbo lag is the delay between opening the throttle and receiving the boost: the turbine and compressor must spin up, and they are driven by an exhaust flow that itself only grows as the engine's power grows, so the response builds on itself rather than arriving at once. The pilot feels it as a pause, then a swelling of manifold pressure, and smooth, anticipating throttle movement is the working answer. The intercooler answers a different side effect: compression heats the charge, and hot charge is both thinner (undoing part of the boost) and closer to detonation. The intercooler is a radiator between compressor and cylinders that cools the compressed charge back down: denser air, wider detonation margin.
The supercharger
The supercharger is the turbocharger's older sibling: the same idea of compressing the induction air, but driven mechanically from the crankshaft through gears instead of by an exhaust turbine. The differences follow from the drive: the supercharger responds instantly with no lag and needs no exhaust plumbing, but it spends shaft power to do its compressing, power the propeller never sees, while the turbocharger's energy comes from exhaust heat that was leaving anyway. Its boost is also tied to engine rpm rather than scheduled by a waste gate.
Setting power in the right order
Boosted or not, an engine with a constant-speed propeller has three levers, and the order of moving them protects the engine. The danger is high manifold pressure on low rpm: big charge, slow cylinders, maximum time at pressure, the detonation recipe. So the rule runs:
Increasing power — mixture rich first, then rpm up, then manifold pressure up.
Decreasing power — manifold pressure down first, then rpm, then the mixture leaned.
Each move keeps the rpm ahead of the boost, and the propeller lever's phase schedule from the previous lesson slots into this rule.
Take-off power and maximum continuous power
Take-off power is the highest output the engine may deliver, and it is time-limited, typically to five minutes: the temperatures it generates are tolerable as a burst, not as a diet. Maximum continuous power is the highest output with no time limit, the ceiling for the climb and for any emergency that outlasts the take-off allowance.
Starting in the deep cold
Extreme cold compounds the start: the oil thickens until the starter fights it and the first minutes of running starve remote bearings; the battery delivers a fraction of its warm current exactly when cranking demands more; the fuel barely vaporises, inviting the over-priming that floods intakes and starts carburettor fires; and a cold-soaked engine's clearances are wrong until the metal warms. The answers are external preheat for engine and oil, external power for the cranking, patient priming, and gentle running until temperatures reach their operating ranges.
FADEC
A FADEC (full-authority digital engine control) replaces the pilot's direct mechanical links to throttle, mixture, ignition timing and boost with a computer. The principal difference from traditional manual controls is in the name: the computer's authority is full, meaning every engine parameter is set by it and there is no manual reversion behind it. The flight-deck controls shrink to match: a single power lever commanding what the pilot wants, with the FADEC deciding how mixture, timing and boost deliver it, plus its displays, test switches and backup-supply controls.
Full authority is also full responsibility: the FADEC runs the engine at its efficient best continuously (no forgotten leaning, no wrong lever order, the whole previous section automated), protects it by limiting every parameter before an exceedance can develop, and contains failures, degrading gracefully and keeping the engine running on its remaining resources. Because there is no manual fallback, redundancy is designed in everywhere: dual computing channels each able to run the engine alone, duplicated sensors and data paths feeding them, and independent electrical supplies, typically a dedicated alternator with a battery backup, so that the failure of the aircraft's electrical system is not the failure of the engine.