Skip to main content
CalcPro

Wind Farm Jensen Wake Model & Array Deficit Velocity Calculator

Easily calculate and compute wind farm jensen wake model & array deficit velocity calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
8.68 m/s

Waked Wind Speed at Downstream Rotor (v_waked)

Waked Wind Speed at Downstream Rotor (v_waked)

8.68 m/s

Velocity Deficit Percentage

13.2

Expanded Wake Diameter Meters

258.3

Downstream Spacing In Diameters

7

Power Loss At Downstream Turbine Pct

34.5

8.68 — m/s

Calculation Breakdown

  1. Applied FormulaCalculates downstream wind shadow velocity deficit and wake expansion diameter behind upstream wind turbines using the classic N.O. Jensen kinematic wake model.\frac{\Delta v}{v_0} = \frac{1 - \sqrt{1 - C_t}}{\left(1 + \frac{2 k x}{D}\right)^2}, \quad D_{\text{wake}} = D + 2 k x

Jensen Wind Wake Deficit Model Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.02.24.36.58.7Waked Wind Speed at Downstream Rotor (v_waked)

What Is the Wind Farm Jensen Wake Model & Array Deficit Velocity Calculator?

This tool computes wind farm jensen wake model & array deficit velocity calculator with high precision arithmetic.

How Does the Wind Farm Jensen Wake Model & Array Deficit Velocity Calculator Work?

Calculates downstream wind shadow velocity deficit and wake expansion diameter behind upstream wind turbines using the classic N.O. Jensen kinematic wake model.

Wind Farm Jensen Wake Model & Array Deficit Velocity Calculator Formula & Variables

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

Δvv0=1−1−Ct(1+2kxD)2,Dwake=D+2kx\frac{\Delta v}{v_0} = \frac{1 - \sqrt{1 - C_t}}{\left(1 + \frac{2 k x}{D}\right)^2}, \quad D_{\text{wake}} = D + 2 k x

Calculates downstream wind shadow velocity deficit and wake expansion diameter behind upstream wind turbines using the classic N.O. Jensen kinematic wake model.

How to Use the Wind Farm Jensen Wake Model & Array Deficit Velocity Calculator

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

Step-by-Step Example Calculation

Wind Farm Jensen Wake Model & Array Deficit Velocity Calculator Example

Input Values:

freeStreamWindSpeedMPerS:10
rotorDiameterMeters:126
downstreamDistanceMeters:882
thrustCoefficientCt:0.8
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.

\n

Related Calculators

Explore more tools and calculators in Physics Calculators

Length Converter

Convert length and distance between metric and imperial units including meters, feet, inches, kilometers, miles, and yards with exact SI definitions.

Percentage Calculator

Calculate percentages: what % X is of Y, P% of X, % change, discount price, and percentage points.

Temperature Converter

Convert temperatures between Celsius (°C), Fahrenheit (°F), Kelvin (K), and Rankine (°R) with step-by-step thermodynamic formulas.

Ohm's Law & Electrical Power Calculator

Calculate Voltage (V), Current (I), Resistance (R), and Electrical Power (P) across DC circuits.

Density, Mass & Volume Calculator

Calculate density (ρ = m/V), material mass, or physical volume for solids, liquids, and gases.

Steam Turbine Surface Condenser Cooling Water Duty Calculator

Calculates surface condenser thermal heat rejection (MWth), circulating cooling water pumping volume (m³/h), and steam condensation rate.