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THERMAL MACHINES AND HEAT ENGINES

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THERMAL MACHINES AND HEAT ENGINES ( thermal-machines-and-heat-engines )

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Similar to the Carnot cycle that optimises heat engines operating between two constant-temperature sources, the Lorenz cycle optimises heat engines operating between two gliding-temperature sources by adjusting the thermal capacity of the working fluid to that of the finite-capacity sources; i.e., Lorenz's cycle has four processes (like Carnot's cycle): isentropic compression, heating at constant thermal capacity matching that of the heat source (and its temperature variation), isentropic expansion, and cooling at constant thermal capacity matching that of the heat sink (and its temperature variation). Similar inverse Lorenz cycles apply for refrigeration and heat pumping. However, the only vapour-mixture cycle developed has been the Kalina cycle, proposed by Alexander Kalina in 1984 (the first Kalina power plant, of 3 MW, opened in 1991, with several other similar or smaller plants built). Its characteristics are:  An ammonia-water mixture (70%-NH3 and 30%-H2O) is used (a large know-how from absorption-refrigeration cycles existed).  The turbine exit goes through a distillation and the heavy fraction (40%-NH3 and 60%-H2O) is condensed, and, once pressurised, the two fractions mix before entering the boiler again.  Because temperature jumps across heat exchangers can be more uniform, the efficiency increases some 10% for a normal power station, but for special low-temperature applications more than 30%.  Because ammonia lowers the boiling point, the Kalina cycle is better suited to low-temperature applications than the Rankine cycle, as in bottoming cycles (see below), geothermal power plants, and so on. COMBINED POWER CYCLES In a Rankine cycle, one single substance, like water, cannot easily match the high-temperature side (e.g. at the temperature of the combustion gasses, 1500 K to 2000 K, it is very difficult to transfer heat to water vapour), and the low-temperature side (to condense water vapour at ambient temperature is difficult because of the very low pressures and densities). The use of two Rankine cycles with different substances has been tried without success (an experimental plant was built with mercury for the top cycle and water for the bottom cycle). The combination that has reached considerable success is the Brayton-Rankine combined cycle, where the exhaust gasses from a gas turbine are used to supply the heat in the boiler of a vapour turbine operating at not too-high temperatures. The Brayton-Kalina combination may be particularly successful in this respect. Natural-gas-fuelled combined power stations are the rule nowadays because of their low installation cost (some 450 $/kW against 1100 $/kW for coal stations), short-time operations start-up (2 years vs. 3.5 years for coal), and lower environmental impact (nuclear, coal and hydroelectric stations are on hold in Europe and USA), although wider fluctuation in gas price make the choice risky. The turbo-diesel engine can also be considered a combined Diesel-Brayton cycle (Fig.17.11).

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