Demandbase Connect

February 1, 2010

Plant Efficiency: Begin with the Right Definitions

Pages: 1234


Upper Division Thermo

The Second Law of Thermodynamics is complicated and has many facets that are useful beyond the study of thermodynamics, including predicting the ultimate collapse of the universe and its beginning with a state of zero entropy. Whereas the First Law shows us how to "quantify" energy, the Second Law directs us to consider the "quality" of the energy in terms of what is defined as a "rational efficiency" when analyzing thermal systems.

For example, the First Law allows the design of a perpetual motion machine, while the Second Law prohibits its construction because every machine has losses, such as friction, that cannot be recovered.

Stated another way, the Second Law quantifies the ability of a thermodynamic system to perform work, and that ability to do work is directly related to the system operating temperatures. Higher temperatures mean higher system efficiency — higher steam temperatures increase efficiency in a steam plant, as do higher turbine inlet temperatures in a combustion turbine. Very low temperatures have a very limited ability to do useful work because the quality of the energy has been diluted.

Electricity is the most valuable form of energy available to us because it can be transmitted long distances, has a multitude of uses, and has a high energy density. Low-grade thermal energy has few uses, is not easily transported because of its very low energy density, and cannot be economically stored. The Second Law concludes that the thermodynamic value of thermal energy will always be less than that of electricity. Look back to your automobile for another analogy. The engine’s jacket water can efficiently provide the low-grade thermal energy to heat the occupants but is useless to provide the horsepower needed to move the vehicle forward.

This aspect of energy "quality" is missing when the First Law is used to calculate the "efficiency" of a CHP system. An example: Which would you rather have: A million Btu-equivalents of electricity available at your wall outlet or a million Btu of tepid bathwater? The First Law (quantity of energy) tells us they are equivalent and that you should be happy with either form of energy. The Second Law (quality of energy) says the value of the electricity is higher because of its superior ability to do useful work.


Pages: 1234

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