Calculating Wind Turbine Efficiency

Slides:



Advertisements
Similar presentations
Angular Motion in Cars Applying Physics of Rotational Motion, Newton’s Laws and Kinematics to the motion of a car.
Advertisements

Wind Energy: The Myths and the Math
Lecture 30 November 4, 2013 ECEN 2060 Lecture 30 Fall 2013.
Investigating the Use of a Variable-Pitch Wind Turbine to Optimize Power Output Under Varying Wind Conditions. Galen Maly Yorktown High School.
Wind Turbine Blade Design
Wind Power and Wind Turbines BJ Furman K Youssefi 13FEB2008.
Alternate Energy Activities A look at Wind Power.
Announcements Read Chapter 7 Quiz on HW 3 Today
Wind Energy Chemical Engineering Seminar By: Jacqueline Milkovich.
Design of Wind Turbines P M V Subbarao Professor Mechanical Engineering Department Selection of Optimal Geometrical & Kinematic Variables ….
Next: Wind Turbine Rotors Goal ?. Question 1  Divergent thinking consists of A) Selection of unique answer B) Brainstorming many ideas.
Wind Turbine Project Recap Wind Power & Blade Aerodynamics
Where: I T = moment of inertia of turbine rotor.  T = angular shaft speed. T E = mechanical torque necessary to turn the generator. T A = aerodynamic.
Sasha Clark Ilona Molotoka Alexandria Butler Shanel Crawford-Harris.
Wind Energy.
WIND POWER PORTER WESSON. WIND GENERATORS -A wind generator (wind turbine) works by capturing kinetic wind energy and converting it to electrical energy.
ENERGY,WORK, POWER, AND MACHINES IPC Spring 2014.
Energy Equation. Chapter 2 Lecture 3 2 Mechanical Energy? Forms of energy that can be converted to MECHANICAL WORK completely and directly by mechanical.
The Answer is Blowing in the Wind… The Power of Wind.
Energy in the Wind Walt Musial Senior Engineer National Wind Technology Center National Renewable Energy Laboratory Kidwind Teachers’ Workshop May 14,
IB Wind and Wave Power Mark Kapron, Luc LaLonde, Scott Johnstun.
Period 1 presentation. The ruins of a Persian windmill.
Wind Turbine Aerodynamics Section 1 – Basic Principles E-Learning UNESCO ENEA Casaccia - February Fabrizio Sardella.
Topic: Wind Turbine Activity Objective: ▫ Create, test, and improve wind turbine blades so that they create the largest possible voltage 1 Summary: ▫ Students.
The Turbinator! Hasta la windmill, baby.. The Team  Keshia Agazuma  Corie Davis  Alex James  Jamison Trent  Lee West.
Let There Be Light Constructed by: Justin Carpenter, Nate Best, Scott Gordon, Justin Shelton.
WIND ENERGY. WIND POWER What is it? How does it work? Efficiency Advantages.
Performance of wind energy conversion systems. For the efficient planning and successful implementation of any wind power project, an understanding on.
Period 7.   The more curved side generates low air pressures, due to more surface area. While high pressure air, pushes on the other side of the design.
Aerodynamic forces on the blade, COP, Optimum blade profiles
Team Pain David Brundage, Kelli Byrne, Adam Watkins, and Benjamin Wing.
Theoretical Consideration Choose the best design Study the efficiency of energy conversion at specific speed. Power Coefficient Tip Speed Ratio Conversion.
Wind and Water Power pp Wind generators  Horizontal Axis— higher positioning of rotor blades  Vertical Axis— catches wind closer to the ground.
Power Generation from Renewable Energy Sources Fall 2013 Instructor: Xiaodong Chu : Office Tel.:
Wind Energy. The Wind Energy And Power In The Wind The energy contained in the wind is its kinetic energy, and as we saw in Chapter 1 the kinetic.
WORK Work = Force x Distance POWER power = work done ÷ time taken ENERGY 1-POTENTIAL ENERGY (Potential Energy = Force x Distance ) 2-KINETIC ENERGY Energy.
__________________________ © Cactus Moon Education, LLC. CACTUS MOON EDUCATION, LLC ENERGY FROM THE WIND WIND TECHNOLOGIES.
Dr Ravi Kumar Puli National Institute of Technology WARANGAL.
 How does a windmill create energy?.  You should be able to understand the purpose of gearing in a windmill.  You should understand how electricity.
SEMINAR ON SHIP WITH WIND MILLS
EEE223 Energy Conversion II Md. Asif Uddin Khan Lecturer, EEE BRAC University.
Turbine blade basics. Calculation of Wind Power Where P = power, measured in watts (W) or joules per second (J/s)  = density of fluid, measured in.
Wind Turbine Project Lift, Drag, Blade Aerodynamics & Power
Power Transfer using GEARS Dean Celini Mentor FRC Team /10/2016.
Chapter 3.
UNIT II WIND ENERGY COLLECTORS
Power Electronics and Control in Wind Energy Conversion Systems
D39 Science Olympiad – 2017 Week2&3
Wind Power Kelly Farmer.
Classical Design of Wind Turbine Controllers
Small Scale Wind Turbine
Flower Power By Chase Thompson, Stephanie Miller, & Josh Chandler.
ENGR 459/559 Spring 2014 Iowa State University
Wind Power and Wind Turbines
ENERGY EQUATIONS By the end of this presentation you should be able to: Calculate kinetic energy, work and power.
Blade Design for Modern Wind Turbines
What are gears? Wheels with teeth.
Fluid Dynamic Principles to Generate Axial Induction
Wind Farm: Generators that produce AC are generally equipped with features to produce the correct voltage (120 or 240 V) and constant frequency.
Dynamic Controllers for Wind Turbines
Audrey, Henry, Mikey, Daniela, Daniel
COMBINED DARRIEUS - SAVONIUS WIND TURBINE
Common tidal energy system is a barrage system as shown in the following slide.
Eulerization of Betz Theory : Wind Turbines
7 Measuring Engine Performance. 7 Measuring Engine Performance.
DESIGN, SYSTEM PERFORMANCE, ECONOMIC ANALYSIS
Unit Physical Science Systems
Wind Turbine © D Hoult 2010.
Math with MacGuyver!.
Dual Induction theory for Wind Turbines
Presentation transcript:

Calculating Wind Turbine Efficiency By Willem Scholten Learning Access Institute

Wind Turbine Efficiency There are two calculations every team needs to perform on their turbine: Overall efficiency Solidity of their blades

Wind Turbine Efficiency Electrical Power transformed by wind turbine Efficiency = Power available in the wind A German physicist, Albert Betz, calculated that no wind turbine could convert more than 59.3% of the kinetic energy of the wind into mechanical energy turning a rotor. This is known as the Betz Limit, and it is the theoretical maximum efficiency for any wind turbine. In typical operating wind speeds, most modern wind turbines are 25–45% efficient

Wind Turbine Efficiency To calculate the power in the wind, we need to know the volume of air pressing against the turbine each second. Knowing the mass of the air pressing against the turbine allows us to calculate the Kinetic Energy of the moving air. The Volume of air pressing against the turbine each second, V, is the volume of a cylinder given by: V = LA L = the length of the cylinder, which is determined by the velocity of the wind multiplied by the time of interest, in our case, 1 second. L = v x 1 sec (v = velocity of air)

Wind Turbine Efficiency The area of the base of the cylinder, A, is equal to pi times the radius, r, squared. A = pi r2 (this is the same as the swept area) The mass, m, of the air pressing against the turbine is the density of the air times the volume of the cylinder m = pi r2 x v x 1sec x p (p = density of air, which hat sea level and at 150C = 1.225kg/m3 ) The kinetic energy of the moving air is therefore: KE = 1/2 mv2 Substituting for m, we get: KE = 1/2 pi r2 x v3 x 1 second x p

Wind Turbine Efficiency The power available from the wind is the kinetic energy passing the blades each second, so if: KE = 1/2 pi r2 x v3 x 1 second x p, then P, power available every second is: Pwind= KE/second = 1/2 pi r2 x v3 x p To now get the efficiency we need to also know the electrical power generated by the turbine, which we get from measuring the Voltage and Current over a load attached to the turbine. Pelec = V x I Efficiency = Pelec = V x I x 100% Pwind= 1/2 pi r2 x v3 x p

Wind Turbine Efficiency To calculate the Efficiency you need to therefore know the following data points collected for each experimental run: r = radius of the blades (in meters) (measured from the center of the axel to outer corner of blade.) v = Wind Speed (in m/sec) (measured using Logger Pro and anemometer) Pelec = electrical power generated (in W) (measured using Logger Pro and energy test set with load) Example: Assume: v = 4.326m/s r = 0.322m Pelec = 36.41mW (0.03641W) Efficiency = Pelec = V x I = X 100 % 0.03641 x 100% Pwind= 1/2 pi r2 x v3 x p 1/2 3.14 x 0.3222 x 4.3263 x 1.225 Efficiency = X 100 % = 0.22% 0.03641 16.15

Wind Turbine Efficiency The ratio of the total area for all blades to the total swept area is called the solidity of the turbine. Solidity is calculated using the equation: Solidity = na/A n = the number of blades a = the area of a single blade A = the swept area of the turbine Turbines with a high solidity (> 0.8) rotate at a lower speed, and provide high torque Turbines with a low solidity (0.1 ~ 0.5) rotate at a high speed, and provide less torque Blade pitch (angle towards the wind) affect the torque, speed, and the amount of drag experienced. Blades with shallow pitch (10-300) can spin faster providing lower torque, blades with greater pitch (30-600) increased torque, but route slower.

Wind Turbine Efficiency Calculating the solidity of the turbine. A (swept Area) = pi r2 To calculate the the area of one blade, the simplest way is to take a picture of your rotor, and using Logger Pro Photo Analysis to get the area of your blade. Example: r = 0.195m (radius of swept area) n = 3 ( number of blades) a = 0.000489m2 ( area of one blade) A (swept Area) = pi r2 = 3.14 x (0.195)2 = 0.119m2 n x a 3 x 0.000489 0.01467 Solidity = = = = 0.123 A 0.119 0.119

Wind Turbine Efficiency In conclusion: High solidity equals high torque. Higher torque is required to rotate a high ratio gear train, in order to turn a generator faster. The faster a generator turns, the higher the power output of that generator will be. You therefore want to construct a turbine with a high torque rating (high solidity) capturing the maximum energy of the wind and delivering the highest power output. (most efficient) Remember: if you gear up, go from slow moving feeder gear to higher spinning fed gear (large gear driving a smaller gear) your torque (delivered power to the second gear) will be reduced by the gear ratio, while the speed increase will be it’s inverse. Remember: this is an energy conversion game, you can not make more energy then you input (wind power) along the way, you can only increase performance by making the most efficient conversion from wind power to electrical power. (remember Betz Limit the overall efficiency of your system will not go beyond 50%! so be smart where and how you convert…..)