Calculate total amount of energy that could be extracted

Question

Alternative Energy Technology

CLASS PROJECT - ECET 55600, ALTERNATIVE ENERGY TECHNOLOGY, FALL 2016

Designing a Wind Turbine System (group of wind turbines) to Self-Support Neighborhood of Middle Class Families Project Description:

A wind turbine project needs to be designed to support a neighborhood having five following middleclass family houses:

Number of Houses	Air Density
Group 1: 25 Houses	Group 1: 1.255 kg/m3
Group 2: 45 Houses	Group 2: 1.365 kg/m3
Group 3: 65 Houses	Group 3: 1.425 kg/m3
Group 4: 75 Houses	Group 4: 1.475 kg/m3
Group 5: 85 Houses	Group 5: 1.525 kg/m3
Group 5: 95 Houses	Group 5: 1.625 Kg/m3

Each house is a single family home having an average energy demand of 958 kWh per month per household. The neighborhood is located in an area where the wind power class is 6. After initial survey, the following measurements were taken at the site:

Wind Power Class                  : 6
Wind Power density (W/m²)   : 300 to 400 at 10m height
Group 1: Weibull Distribution  : k=2.75 and c=14 m/sec
Group 2: Weibull Distribution  : k=2.50 and c=14 m/sec
Group 3: Weibull Distribution  : k=2.00 and c=14 m/sec
Group 4: Weibull Distribution  : k=1.50 and c=14 m/sec
Group 5: Weibull Distribution  : k=1.00 and c=14 m/sec
Group 5: Weibull Distribution  : k=1.75 and c=14 m/sec

Calculate the following:

(a) V_mocie
(b) V_mean
(C) V_rmc
(d) Power Density, using V_{m ode}
(e) Power Density, using V_mean
(f) Power Density, using V_mean
(g) Total amount of energy that could be extracted per m² of the wind turbine blade and for a wind velocity between 0 and SO m/sec for a C_p=1
(h) Total amount of energy that could be extracted per m² of the wind turbine blade and for a wind velocity between 0 and 50 m/sec for a C_p=0.45
(i) How many and what size turbine needs to installed to self-support the above neighborhood in question.
(j) For structural issues also provide maximum torque for each of these turbines

Note: In 2013, the average annual electricity consumption for a U.S. residential utility customer was 11,496 kWh, an average of kilo-watt-hours (kWh) per month. Tennessee had the highest annual consumption at 16,716 kWh and Maine the lowest at 6,252 kWh.