The Betz limit is the theoretical maximum efficiency for wind turbines, named after German physicist Albert Betz. In IPA phonetic transcription, "Betz" is pronounced as [bɛts]. The "b" sound indicates a voiced bilabial consonant, where both lips come together to make the sound. The "ɛ" sound represents an open-mid front unrounded vowel, and the "ts" represents an unvoiced alveolar affricate consonant blend, where the tongue touches the alveolar ridge to create a stop sound before releasing with a hissing sound.
The Betz limit, also known as the Betz coefficient or Betz's law, is a fundamental concept in wind energy that defines the maximum possible efficiency at which a wind turbine can convert the kinetic energy of wind into usable mechanical power. Named after the German physicist Albert Betz, it states that the maximum capture of wind energy by a turbine is limited to a theoretical maximum of 59.3%, or 16/27 of the kinetic energy contained in the wind.
The Betz limit is derived from the principles of fluid dynamics and conservation of momentum. As a wind turbine extracts energy from the wind, it creates a region of reduced wind speed behind the rotor. This reduction in wind speed is necessary for the turbine to harness energy but is also a loss of kinetic energy. Betz's law mathematically defines the maximum amount of energy that can be extracted while accounting for this decrease in wind speed.
While the Betz limit provides an important theoretical upper bound for wind turbine efficiency, it is typically not achievable in practice. Real-world turbines operate at lower efficiencies due to various factors, such as turbine design, structural and air resistance losses, and wake effects caused by the wake generated by preceding turbines. Nevertheless, the concept of the Betz limit is crucial for the design and optimization of wind turbines, serving as a reference for the evaluation and improvement of their efficiency.
The term "Betz limit" is named after Albert Betz, a German physicist. Albert Betz published his work on wind turbine efficiency in 1919, and his findings became known as the "Betz limit". The word "limit" implies a theoretical maximum or boundary, and the term refers to the maximum possible efficiency of a wind turbine rotor. The Betz limit states that no wind turbine can capture more than 59.3% of the kinetic energy of the wind, regardless of the design or engineering.