Consider a wind farm composed of 100 turbines of 1-MW each. The rotor diameter D of each turbine is 60 m. The turbines are arranged in 2rows of 50 turbines using 5 D x 10 D tower spacing. An additional 10 D buffer space around the entire turbine array is added as shown in thefollowing figure:10 D10 DAverage Wind Speed: 10 m/s49 x 5 D = 245 D50 Turbines50 TurbinesBuffer5D10 D10 D10 DCalculate the total area required for the wind farm including the buffer zone in square kilometer (Km²) 28.62 sq.kmCalculate the the total power density in Watt / square meter (w/sqm)3.494 w/sq.m

Consider a wind farm composed of 100 turbines of 1-MW each. The rotor diameter D of each turbine is 60 m. The turbines are arranged in 2 rows of 50 turbines using 5 D x 10 D tower spacing. An additional 10 D buffer space around the entire turbine array is added as shown in the following figure: Average Wind Speed: 10 m/s 10 D 10 D 49 x 5 D = 245 D 50 Turbines 50 Turbines Buffer 5D 10 D 10 D 10 D Calculate the total area required for the wind farm including the buffer zone in square kilometer (Km²) 28.62 sq.km Calculate the the total power density in Watt / square meter (w/sqm) 3.494 w/sq.m

Consider a wind farm composed of 100 turbines of 1-MW each. The rotor diameter D of each turbine is 60 m. The turbines are arranged in 2 rows of 50 turbines using 5 D x 10 D tower spacing. An additional 10 D buffer space around the entire turbine array is added as shown in the following figure: Average Wind Speed: 10 m/s 10 D 10 D 49 x 5 D = 245 D 50 Turbines 50 Turbines Buffer 5D 10 D 10 D 10 D Calculate the total area required for the wind farm including the buffer zone in square kilometer (Km²) 28.62 sq.km Calculate the the total power density in Watt / square meter (w/sqm) 3.494 w/sq.m

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Design a 1 MW wind Turbines: given data tower height : 80 mblade length: 38 maverage wind speed: 6.9 m/s power: 1 MW
Q.1) for the system shown in figure (a). The pump has the characteristics shown in figure (b). What is the power of the pump? Assume fi=f2= 0.0118 AH, ft Air H₂O 100 90 80 70 60 8 40 30 20 10 0 35 lb/in2 gage 36 ft K = 0.4 650 ft d= 1.9 ft 20 40 SH Pump T 11.3 ft I 650 ft (a) 60 80 100 120 (b) Air H₂O K = 1 45 ft d=2 ft K-0.9 efficiency 140 160 180 p=10 lb/in² gage 100 90 80 70 60 50 40 30 20 10 100 percent
Consider two identical wind turbines with a hub height of 40 m, one located in flat agricultural land and one located above a forest. What is the relative output power for the two turbines if the wind velocity is 10 m/s at a height of 100 m in both cases? Pagricultural/Pforest = ?
Problem-4: The characteristics for a pump are given in the table below. The pump is required to left water against static head Az = EN" m. The pipe arrangement has a total length L the pump discharge, head, efficiency and power for the given pipe system. 200, d = 0.1 m and f= 0.016. Find %3D Q (L/s) 10 20 30 35 42 50 Hp (m) efficiency % 210 201 180 150 129 93 48 30 58 80 85 86 74 EN=62 Hp = Az + h, = Az + 12.1 d P = 757
) In cooling tower below, derive the given equations based on the system boundary below (neglect fan/pump work). Air Out 2 Water Sprayed Air In ma 1 Make-up water MM M ma ↑aintain Air Blows Upward mm = ma (W₂2-W1) B A Warm Water Gondenser Pump mw mw 00000 Cold Water ma ( W2 - W1 ) hm + mw (hB-hA) = ma (h2-h1)
Example: A 60 Kg person walking at 1 m sec' bumps into a wall and stops in a distance of 2.5 cm in about 0.05 sec. What is the force developed on impact? A (mv) momentum before impact - momentum after impact 60 Kg x 1 ms"- 60 Kg x0 A (mv) - 60 Kg x 1 ms'-0- 60 Kg m s' A(mv) 60kgms :F = At = 1200Kgm/s 120ON Newton = Kg ms? 0.05s
. The packing rings in a distillation tower are in the shape of a torus (doughnut) as shown in Fig. 8-13. The outside diameter of the ring is to be 20 mm, and the values of D and D2 are sought that yield maximum surface area where the area = 7?D,D2. Structure the problem as a constrained optimization and solve by the method of Lagrange multipliers. D212 D2 FIGURE 8-13
Find the size of a wind turbine rotor (diameter in m) that will generate 100kW of electrical power in a steady wind (hub height) of 7.5 m/s. Assume that the air density is 1.225 kg/m3, Cp = 16/27 and n = 1. %3D
A ship leaves port with drafts 7.6 m F and 7.9 m A; 400 tonnes of bunkers are burned from a space whose centre of gravity is 15 m forward of the centre of flotation, which is amidships. TPC 20 tonnes. MCT 1 cm = 300 tonnes m. Find the minimum amount of water which must be run into the forepeak tank (centre of gravity 60 m forward of the centre of flotation) in order to bring the draft aft to the maximum of 7.7 m. Find also the final draft forward.
2.5-L bench scale bioreactor is used for the production of recombinant P64K protein from Neisseria meningitides. The dimensions for the bioreactor are Dt 12.9 cm, ratio Di/Dt = 1/3 and N = 700 rpm. With the scale up factor of 2.24, determine the impeller tip speed (m/s) for the pilot scale bioreactor based on constant impeller tip speed and constant power consumption per volume. Predict which scale up method might give a higher concentration of P64K, if the demand of dissolved oxygen plays an important role.
Q4: Three pipes A, B and C, are interconnected as shown in figure (4). The pipes characteristics are as follows. L (m) f 600 0.02 B 480 0.032 C 1200 0.042 Find the flow rate at which water will flows in each pipe, also find the pressure at point (P). Pipe EL. 60m Water B Figure (4) D (cm) 15 10 20 P EL.36m C EL.15m water
Problem 1 a) In an open vessel, a certain volume V of water is perfectly agitated by means of an impeller 20 cm in diameter D. Consider a case in which the impeller steadily rotates at 150 RPM (=revolutions per minute) Draw up a proper energy balance to find how temperature changes with time as a result of the power input øw, also named P, by the revolving impeller. • This Pis given by the formula P = 3.5 PN°D° in which N denotes the impeller speed in revolutions per second. Calculate P. When V = 120 litre and the specific heat of water amounts to 4.2 kJ/kgK, calculate the temperature increase of the water after one hour of stirring.