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Maximizing Wind Power Efficiency: Equations and Calculations

Learn how to calculate wind power using equations for blade length, wind speed, and tower height. Discover the impact of variables on power generation and find out the relationship between power and height. Dive into essential components like batteries, inverters, and griphoists for efficient wind energy systems.

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Maximizing Wind Power Efficiency: Equations and Calculations

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  1. 1) POWER in the wind: (P, watts) • Is proportional to the cube(3) of: • p = air density • A = area intercepting wind; • v = instantaneous wind velocity • r = blade length 2) ex. If wind speed is 20% (1.2x) greater at one site compared to another, the power will be about_____ greater at that site. 3) Show equation to calculate:_______________

  2. r • 4) POWER in the wind: (P, watts) • Is proportional to the square(2) of: • p = air density • A = area intercepting wind; • v = instantaneous wind velocity • r = blade length 5) ex. If blade length (r) is 2x greater on one wind machine compared to another, the power will be about____ greater on that machine. 6) Show equation:_____________________

  3. Finding Available Wind Energy • Increasing tower height increases power exponentially. • 7) Why?________________________________ V/Vo=(H/Ho)a, where: Vo is wind speed at original height V is wind speed at new height Hois original height H is new height 8) a (alpha): What is Alpha?_____________________ Over rough terrain, alpha = 0.25. Over smooth terrain (water/ice), alpha = 0.1 …equation for relationship between power and height also, just remember cubed…

  4. Gipe (1999) 9) At an average annual wind speed of 10mph, what % of the time does the wind blow 8mph? ______

  5. Batteries and inverters are critical to the success of a hybrid system • Energy storage • Conversion of DC to AC • 10) What is a hybrid system?______________________ • Improvements of inverter technology have made it easier to live off the grid with AC appliances Gipe (1999)

  6. Grip-hoists • Tractel’s Super Pull-All is a great model • If you are going to buy anything for wind turbine, buy a griphoist • Better than hoists: • Readily portable • Easier to control 11) Used for what?______________ _____________________________

  7. Wind Energy (Reference Skystream 3.7 data sheet) POWER • 12) What is the Cut-in wind speed in mph and meters/sec? • 13) What is the rated wind speed in mph and meters/sec? • 14) What is the shut-down speed in mph and meters/sec?

  8. Wind Energy (Reference Skystream 3.7 data sheet) ENERGY 15) If your daily average watt-hrs is 16.67kwh/day What average annual wind speed do you need to provide this much power? 16) If your average annual wind speed is 8.5 m/s, how many kwhs/day are produced?

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