Mechanical Power Systems and Energy Conversion
What the exam tests
This domain covers engines, gas turbines, steam and compressed-air systems, pumps, fans and generator sets. The exam tests performance curves, part-load efficiency, derating, fuel consumption, and the choice between prime and standby equipment in Egyptian installations.
Core rules
- Generator rating is usually kVA at a power factor, often 0.8. Real power kW = kVA × pf. Do not compare a kW load with a kVA rating directly.
- Prime-rated gensets tolerate continuous variable load; standby-rated sets are limited-hours. Choose by duty, not by lowest price.
- Engine output falls with altitude and ambient temperature. Apply the manufacturer’s derating, not a generic rule.
- Fuel consumption is usually given in g/kWh at a stated load. Specific consumption rises sharply below about 50 % load.
- Fans and centrifugal pumps follow the affinity laws: flow varies with speed, head with speed squared, power with speed cubed. Variable speed is the main part-load energy measure.
- Compressors: check volumetric efficiency, intercooling, and specific power in kW per m³/min. Leaks raise specific power.
- Steam and gas turbines: use enthalpy drop and isentropic efficiency; do not use Carnot efficiency for a real machine.
Worked example
A 500 kVA genset at 0.8 pf is 400 kW. At 70 % load it delivers 280 kW. At 210 g/kWh, fuel use is 280 × 210 / 1000 = 58.8 kg/h. With diesel density 0.84 kg/L, that is 70 L/h. At 40 % load the same set might consume 240 g/kWh, so fuel use is 160 × 240 / 1000 = 38.4 kg/h, but the fuel per useful kWh is worse. Part-load efficiency matters more than hourly litres.
Traps
Treating kVA as kW; using standby rating for continuous duty; ignoring altitude and temperature derating; applying affinity laws to systems with large static head; comparing fuel in L/h without load context; forgetting compressor leaks and dryer pressure drop.
Key points
- kW = kVA × power factor; generator ratings are usually at 0.8 pf.
- Prime and standby ratings are not interchangeable.
- Fuel consumption in g/kWh rises at low load.
- Affinity laws: flow, head and power follow speed, speed squared and speed cubed.
- Manufacturer derating applies for altitude and ambient temperature.