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Wind Turbine Wake Deficit (Park / Jensen) Calculator

Easily calculate and compute wind turbine wake deficit (park / jensen) calculator with accurate equations, live formulas, and expert guidance.

Undisturbed ambient wind velocity.

Operating thrust coefficient.

Turbine blade circle diameter.

Downstream distance to trailing turbine (e.g. 7D = 840 m).

Wake expansion parameter (0.04 offshore, 0.075 onshore).

Calculated Result
8.68 m/s

Downwind Wake Wind Speed

Downwind Wake Wind Speed

8.68 m/s

Downwind Speed M S

8.684624855443088

Velocity Deficit Fraction

0.13153751445569117

Wake Diameter M

245.99999999999997

Expansion Factor

2.05

8.68 — m/s

Calculation Breakdown

  1. Applied FormulaCalculates velocity deficit and downwind wake expansion behind an operating wind turbine using the classical N.O. Jensen (Park) linear wake model.V_{wake} = V_0 \left[ 1 - \frac{1 - \sqrt{1 - C_T}}{\left(1 + \frac{2 k x}{D}\right)^2} \right]

Jensen Wake Deficit Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.02.24.36.58.7Downwind Wake Wind Speed

What Is the Wind Turbine Wake Deficit (Park / Jensen) Calculator?

This tool computes wind turbine wake deficit (park / jensen) calculator with high precision arithmetic.

How Does the Wind Turbine Wake Deficit (Park / Jensen) Calculator Work?

Calculates velocity deficit and downwind wake expansion behind an operating wind turbine using the classical N.O. Jensen (Park) linear wake model.

Wind Turbine Wake Deficit (Park / Jensen) Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Vwake=V0[1−1−1−CT(1+2kxD)2]V_{wake} = V_0 \left[ 1 - \frac{1 - \sqrt{1 - C_T}}{\left(1 + \frac{2 k x}{D}\right)^2} \right]

Calculates velocity deficit and downwind wake expansion behind an operating wind turbine using the classical N.O. Jensen (Park) linear wake model.

How to Use the Wind Turbine Wake Deficit (Park / Jensen) Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Wind Turbine Wake Deficit (Park / Jensen) Calculator Example

Input Values:

freestreamWindSpeedMS:10
thrustCoefficientCT:0.8
rotorDiameterM:120
downwindDistanceX_M:840
wakeDecayConstantK:0.075
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required m/s.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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