Quick Answer
Calculate Jensen Linear Wake Model for Wind Turbine Array Wake Loss Fraction
Calculator
Result Interpretation
Jensen Linear Wake Model for Wind Turbine Array Wake Loss Fraction Calculator computes Wake Loss Fraction in dimensionless using the defined engineering formula and the input values provided.
Worked Example
Verified calculation
Given:
- Rotor Diameter = 126
- Wake Expansion Coefficient = 0.04
- Downstream Distance from Upstream Turbine = 400
- Turbine Thrust Coefficient = 0.75
Expected Result:
- Wake Loss Fraction = 0.96150456657587
Engineering Interpretation:
Under the given input conditions, the calculated result is: Wake Loss Fraction = 0.96150456657587 dimensionless.
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
wake loss fraction = 1 - pow(1 - 2 * turbine thrust coefficient / (1 + 2 * wake expansion coefficient * downstream distance from upstream turbine / rotor diameter), 2)Formula family: formula_renewable_wind_turbine_wake_loss_layout_optimization_calculator
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| Ct | Turbine Thrust Coefficient | INPUT | Turbine Thrust Coefficient |
| k | Wake Expansion Coefficient | INPUT | Wake Expansion Coefficient |
| x | Downstream Distance from Upstream Turbine | INPUT | Downstream Distance from Upstream Turbine |
| D | Rotor Diameter | INPUT | Rotor Diameter |
| wake_loss_fraction | Wake Loss Fraction | OUTPUT | Wake Loss Fraction |
Calculation Steps
- Enter the turbine thrust coefficient in dimensionless.
- Enter the wake expansion coefficient in dimensionless.
- Enter the downstream distance from upstream turbine in m.
- Enter the rotor diameter in m.
- Step 1: Compute wake loss fraction.
- Read the wake loss fraction (dimensionless) from the results.
Engineering Summary
Calculate Jensen Linear Wake Model for Wind Turbine Array Wake Loss Fraction
Frequently Asked Questions
What does this calculator calculate?
The Jensen Linear Wake Model for Wind Turbine Array Wake Loss Fraction Calculator estimates Wake Loss Fraction based on the input parameters you provide
Why is turbine thrust coefficient important in this calculation?
turbine thrust coefficient is directly proportional to wake loss fraction. When you enter turbine thrust coefficient in dimensionless, the calculator uses it in the engineering formula to compute the output
How should I interpret the result wake loss fraction?
The calculator outputs wake loss fraction in dimensionless. 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: Turbine Thrust Coefficient (dimensionless), Wake Expansion Coefficient (dimensionless), Downstream Distance from Upstream Turbine (m), Rotor Diameter (m). 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
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