Given the following HAWT: Determine the turbine blade length (R) and turbine dia

Question

Given the following HAWT: Determine the turbine blade length (R) and turbine diameter (D) in m. Determine the gear ratio (GR) necessary to force the 3 phi WRIM into the generator mode with a rotor frequency of -3 Hz at the lowest wind speed. Plot 3 phi WRIM powers (P_R, P_s P_DEV)versus turbine speed (10 less than are equal to omega_T less than are equal to 18 rpm), 3 phi WRIM speed, and slip, all on one graph, to scale. (One graph, "P's" on y-axis; triple x-axes (omega_T, omega_R, S)) A location on the US western plains has prevailing winds of 10 m/s less than are equal to v less than are equal to 20 m/s @a height of 80 m, 60% of the time. A friend of yours invites you to join him in a business venture to build a 36 MW Wind Farm. Make a plan drawing to scale, showing the WT's and the property lines. Use a spacing of 10D, with a distance of 5D from the outer WT's to the property line. The land can be leased from the federal government for $ 100 per acre annually. A federally guaranteed loan @ 2% interest is available for the necessary capital investment: the loan must be paid off in 10 years. The local utility will guarantee a wholesale rate of $0.05 per kWh. Allow 50 k$ per 3 MW unit annually for maintenance. Does the venture make economic sense? Support your decision with an economic analysis.

Explanation / Answer

Ans-

Wind turbine design is the process of defining the form and specifications of a wind turbine to extract energy from the wind.[1][2] A wind turbine installation consists of the necessary systems needed to capture the wind's energy, point the turbine into the wind, convert mechanical rotation into electrical power, and other systems to start, stop, and control the turbine.

This article covers the design of horizontal axis wind turbines (HAWT) since the majority of commercial turbines use this design.

In 1919 the physicist Albert Betz showed that for a hypothetical ideal wind-energy extraction machine, the fundamental laws of conservation of mass and energy allowed no more than 16/27 (59.3%) of the kinetic energy of the wind to be captured. This Betz' law limit can be approached by modern turbine designs which may reach 70 to 80% of this theoretical limit.

In addition to aerodynamic design of the blades, design of a complete wind power system must also address design of the hub, controls, generator, supporting structure and foundation. Further design questions arise when integrating wind turbines into electrical power grids

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