Quick Answer
The jensen linear wake model power loss for wind turbine array calculator computes total wake-induced power loss from the input values you provide.
Calculator
Need Equipment or a Supplier for This Project?
Use your calculation result to continue with equipment selection, supplier discovery, engineering support, or project evaluation.
Find Engineering Solutions →Result Interpretation
Jensen Linear Wake Model Power Loss for Wind Turbine Array Calculator computes Total wake-induced power loss in W using the defined engineering formula and the input values provided. Total wake-induced power loss is expressed in W. No universal acceptance threshold is defined by this calculator.
Worked Example
Verified calculation
Given:
- Wake expansion coefficient = 0.04
- Turbine thrust coefficient = 0.75
- Downstream distance normalized by rotor diameter = 3
- Total undisturbed power potential of array = 2000000
Expected Result:
- Total wake-induced power loss = 1912070.7596254
Engineering Interpretation:
Under the given input conditions, the calculated result is: Total wake-induced power loss = 1912070.7596254 W.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.
Formula / Method
total wake-induced power loss = total undisturbed power potential of array * (1 - pow(1 - 2 * turbine thrust coefficient / (1 + 2 * wake expansion coefficient * downstream distance normalized by rotor diameter), 2))Total wake-induced power loss.
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| sum_power | Total undisturbed power potential of array | INPUT | Total undisturbed power potential of array |
| Ct | Turbine thrust coefficient | INPUT | Turbine thrust coefficient |
| k | Wake expansion coefficient | INPUT | Wake expansion coefficient |
| x_over_D | Downstream distance normalized by rotor diameter | INPUT | Downstream distance normalized by rotor diameter |
| power_loss | Total wake-induced power loss | OUTPUT | Total wake-induced power loss |
Calculation Steps
- Enter the total undisturbed power potential of array in W.
- Enter the turbine thrust coefficient in dimensionless.
- Enter the wake expansion coefficient in dimensionless.
- Enter the downstream distance normalized by rotor diameter in dimensionless.
- Step 1: Compute total wake-induced power loss.
- Read the total wake-induced power loss (W) from the results.
Frequently Asked Questions
What does this calculator calculate?
The Jensen Linear Wake Model Power Loss for Wind Turbine Array Calculator estimates Total wake-induced power loss based on the input parameters you provide
Why is total undisturbed power potential of array important in this calculation?
total undisturbed power potential of array is directly proportional to total wake-induced power loss. When you enter total undisturbed power potential of array in W, the calculator uses it in the engineering formula to compute the output
How should I interpret the result total wake-induced power loss?
The calculator outputs total wake-induced power loss in W. For larger power values, divide by 1000 to express the result in kW, or by 745.7 for horsepower. The result is computed directly from the input values using the defined engineering formula
What units should I use for the inputs?
Enter each value in the units shown next to the input field: Total undisturbed power potential of array (W), Turbine thrust coefficient (dimensionless), Wake expansion coefficient (dimensionless), Downstream distance normalized by rotor diameter (dimensionless). Make sure all inputs use the specified units for consistent results
What assumptions does this calculator use?
This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment
Browse More Tools
Explore the full index of engineering calculators on this vertical site.