The Wind Energy and Wind Power Calculator allows you to estimate the kinetic energy of wind and the corresponding wind power. By considering the surface area, wind speed, duration, and air density, you can calculate the energy and power associated with the wind.
Wind energy represents the kinetic energy of air in motion, considering its density and velocity. To estimate wind energy, the calculator employs the formula:
where:E is the wind energy,A is the surface area perpendicular to the wind direction,t is the duration of the wind,ρ is the density of air, andv is the wind speed.
Additionally, wind power is the energy per unit time, so the wind power formula is:
However, it''s important to note that wind energy, as calculated, represents the kinetic energy of the wind and needs to be converted into another form of energy, such as electrical energy. Albert Betz''s research showed that the maximum amount of kinetic energy that can be captured from the wind is around 59.3%.
To give you an idea about wind energy and power, below are some fun facts for reference.
Energy:The heat required to raise the temperature of 1 liter of water from 20°C to 100°C is 335 000 Joules1 kW·h is 3 600 000 JoulesEnergy of explosion of 1 tonn of TNT is 4 184 000 000 Joules
Typical power of electric kettle ranges from 800 to 2500 WattEurostar train has a power of 12 000 000 Watt.
The power in the wind is given by the following equation:
The following are calculations for power available in the wind at three different velocities for the Northwind 100Cturbine. This is the newerversion of the Northwind 100Aon the previous page. The calculations will show what happens when you double, then triple the velocity. Take a moment to think about how much available power will increase if you double and triple the velocity:
The output of a wind turbine is dependent upon the velocity of the wind that is hitting it. But as you will see, the power is not proportional to the wind velocity.Every turbine is different. In order to determine the output of a specific turbine at a given wind velocity, you need its power curve. The power curve and corresponding datafor the Northwind 100C can be seen below:
As you can see, even though this is a 95 kW turbine, it only provides (approximately) that much power at a very limited number of wind speeds - about 12 m/s through about 15 m/s. Counterintuitively, the power output decreases if the wind speeds up past that point. For safety reasons, the turbine will stop spinning if the wind speed is higher than 25 m/s.
Assuming the turbine is operating properly, the output calculation is pretty straightforward. You just multiply the output at a given velocity by the number of hours the wind is blowing at that velocity. For example, let''s assume that the wind hitting a Northwind 100C in a given day has the following velocities. (Note that in reality, the wind would likely change much more frequently than this. I just wanted to make the math relatively easy.):
One last consideration to make for wind turbines (or any energy source) is something called capacity factor. Capacity factor indicates how much energy is generated by a source relative to the maximum amount of energy it could provide. This is expressed as a percentage, and is usually determined over the course ofa single year. This provides insight into how well-sited the turbine is, but in general indicates how available an energy source is throughout the year. The closer to 100%, the more the energy source is available throughout the year.
The formula is capacity factor = actual output/maximum possible output.
Author: Dan Kasper, Instructor, John A. Dutton e-Education Institute, College of Earth and Mineral Sciences, The Pennsylvania State University
The College of Earth and Mineral Sciences is committed to making its websites accessible to all users, and welcomes comments or suggestions on access improvements. Please send comments or suggestions on accessibility to the site editor. The site editor may also be contacted with questions or comments about this course.
The John A. Dutton Institute for Teaching and Learning Excellence is the learning design unit of the College of Earth and Mineral Sciences at The Pennsylvania State University.
2217 Earth and Engineering Sciences Building, University Park, Pennsylvania, 16802Contact Us
Wind energy is the kinetic energy possessed by air in motion (also called wind). The higher the wind speed, the higher its kinetic energy.
Wind energy is the use of wind to provide mechanical energy through wind turbines to turn electric generators for electrical energy. Wind energy is a popular sustainable, renewable source of energy that has a much smaller impact on the environment compared to burning fossil fuels.
Wind turbine energy is the energy output of a wind turbine, which is using the wind energy and converts it into mechanical and further electrical energy.
The unit of measurement of wind energy is joule [J].
The air flow area, also called swept area, is the area through the air (wind) is flowing. The swept area of the turbine can be calculated from the length of the turbine blades using the equation for the area of a circle:
Combining equations (1) and (2) gives the formula (equation) for wind energy as:
The unit of measurement of wind turbine energy is joule [J].
About How to calculate wind energy
As the photovoltaic (PV) industry continues to evolve, advancements in How to calculate wind energy have become critical to optimizing the utilization of renewable energy sources. From innovative battery technologies to intelligent energy management systems, these solutions are transforming the way we store and distribute solar-generated electricity.
When you're looking for the latest and most efficient How to calculate wind energy for your PV project, our website offers a comprehensive selection of cutting-edge products designed to meet your specific requirements. Whether you're a renewable energy developer, utility company, or commercial enterprise looking to reduce your carbon footprint, we have the solutions to help you harness the full potential of solar energy.
By interacting with our online customer service, you'll gain a deep understanding of the various How to calculate wind energy featured in our extensive catalog, such as high-efficiency storage batteries and intelligent energy management systems, and how they work together to provide a stable and reliable power supply for your PV projects.
