VOID ORBITAL

Aer — wind turbine design platform

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Void Orbital — Wind Energy

Aer — Wind Turbine
Design Platform

From site to cost of energy in eight linked steps: every input you change updates every result that depends on it. It starts from Roger's Kern County 1 MW reference study.

Loading Aer…
Step 01 · Site

Site selection

Place the turbine and describe the wind there. Air density comes from the ground elevation through the ISA standard atmosphere; every later step reads these values.

Map

Open Global Wind Atlas here

Click the map or drag the pin to move the site; the elevation is looked up for the new point. The Global Wind Atlas link opens its map zoomed on these coordinates; click the point there if its wind statistics are not listed, then type them in here.

Coordinates

West is negative
The map looks it up when the pin moves; editable. Reference study: 1892.75 m (A1)

Wind resource

At the reference height. 13.58 m/s: the Global Wind Atlas mean at 100 m over the windiest 10 % of A1's area (A1 Fig. 4: 11.6–14 m/s across it)
GWA layer height: 100 m
k = 2 is the Rayleigh assumption (A4 p.3, Weibull sheet IO!B3), not a site fit
Blank: c from Vref and k. Given at href, shear-scaled to the hub
A1's two GWA means (same windiest 10 %, 100 m) give k ≈ 1.64 at the site's air density; A4 assumes k = 2
GWA's generic turbine, not this design (A1: 58 %)
Mean of the 10 % windiest area of the region (A1: 3061 W/m²)
Step 02 · Parameters

Design parameters

The rating, the rotor's blade count and design tip-speed ratio, the sizing guess for Cp, and the three blade sections. The blade shape itself is chosen in step 4.

Power & rotor

Electrical rating (reference study: 1000 kW)
2: a lighter, faster rotor with more cyclic loading; 3: the best dynamic balance
6–8 is typical for 3 blades (study: 7)
A3 used 0.5; Betz limit 0.593. Step 5 reports the blade's own Cp

Reference-study recommendations

Fixed recommendations from the reference study's design rules (only the blade-count note depends on the rating). Values that differ from yours are marked.

Airfoil sections

Design angle of attack — best L/D

SectionAirfoilα* (°)CLCDL/D

Step 03 · Sizing

Turbine sizing

The rotor radius that makes the rated power at the hub-height wind, with the hub at twice the radius — Roger's A3 method, iterated to convergence. It is an open-loop estimate: step 5 checks it against the finished blade.

Solver

Iteration table
IterR (m)A (m²)H (m)Vhub (m/s)Rnew (m)

Governing equations

P = ½ · ρ · Cp · π · R² · V(H)³
V(h) = Vref · (h / href)1/7
H = 2 · R   (siting rule)
Ω = λ · Vhub / R  ·  rpm = 60 Ω / 2π

A3 sizes with Cp = Cp,init and no drivetrain efficiency (η = 1): the electrical rating is reached only at the derived rated wind speed of step 5, above this sizing wind V(H).

Step 04 · Blade

Blade design

Chord and twist along the span, fixed at manufacture. Choose the laws here; the performance step then solves this blade with blade-element momentum theory.

Blade laws

A3 taper: Roger's A3 method, from σ. Optimum: c = 8πr(1 − cos φ)/(B·CL) with wake rotation (Manwell eq. 3.105–3.106); linearised through 0.7R and 0.9R
θ = φ − αdesign; with wake rotation φ = ⅔·atan(1/λr); A3's Betz law (Table 7) uses Vref (13.58 m/s)
Root | mid and mid | tip joins; A3's are from Table 4 (roger_1MW.wtp)
A3 taper: mean chord c̄ = σπR/B
A3 taper law only
Roger's WT_PERF run used 19

Planform — top view

Cross-sections

Twist distribution

Blade elements

r/Rr (m)Chord (m)Twist (°)φopt (°)Section
Step 05 · Performance

Performance analysis

Blade-element momentum theory (Ning's bracketed residual) with Prandtl tip and hub loss, the Glauert–Buhl high-induction correction and the bounded Du–Selig 3-D stall delay; a controller that tracks the blade's own λopt and pitches to feather above the derived rated speed.

Operating envelope

Weibull sheet IO!B10
Lowest speed where η·Paero = Prated; not an input
26 — A4, Roger's Weibull sheet B11
Below rated; above rated the controller pitches to feather
Roger's sheet; step 6 applies its part-load curve
Both pitch-regulated; variable speed tracks the blade's optimum λ. The reference study (A4) is variable-speed and pitch-controlled
Corrections — each change recomputes at once

Power curve electrical, P vs V

Rotor efficiency Cp vs λ, twist frozen, Ω varied

3-D vs 2-D polars same controller

Spanwise loading

Operating schedule

Step 06 · Economics

Economic analysis

Annual energy from the step-5 power curve over the Weibull distribution at hub height, with the sheet's part-load drivetrain efficiency and losses; costs from the NREL/TP-500-40566 scaling model as in Roger's LWST COE sheet (2002 $), with one inflation factor on every term.

Financial parameters

11.85% — Roger's COE sheet B54
1.8165 — COE sheet B56 (A4 text: 1.86); 1.0 reads in 2002 $
COE sheet B56, A4 p.3 text, or none; neither source names its price index. Custom: type the factor
COE sheet (B48, B56) or A4 p.10 text; × 0.6 = 1 − 0.40: after-tax O&M at a 40 % tax rate (unlabelled in the sheet)
3.5 — Roger's Weibull sheet B17
5 — Weibull sheet B18
98 — Weibull sheet B19
Kern County residential, early 2026 (FindEnergy, A4) — a retail tariff with delivery charges, not a wholesale price

Wind and energy at hub height

Cost of energy Aer vs Roger's A4

NREL component costs

Component2002 ($k)Adjusted ($k)
Step 07 · Environment

Environmental assessment

A screening noise estimate (a source level from tip speed and diameter unless a manufacturer's value is given, ISO 9613-2 propagation), shadow-flicker screening, sourced avian context and permit screening for the site.

Receptor

A5 p.13: "1.8 miles" to Mojave; the site pin is 12.8 km from Mojave town
Site ground minus receptor ground (A5 p.13: "over 3000 ft")
Turbine → receptor, clockwise from north; needed for flicker hours inside 10 D
A manufacturer's certified value. Blank: the WEE screening estimate

Noise against distance level ground

Annual U.S. bird deaths by cause A5 Table 3, log scale

Current estimates as Roger's A5 (p.12, Table 3) gives them; bars at the middle of each range: cats 1.3–4 billion (Loss et al. 2013; ABC); windows 100 million–1 billion; power lines 130–174 million; automobiles 60–80 million; pesticides 70 million; lit communication towers about 7 million (ABC); wind turbines 0.7–1 million (ABC). A5: turbines cause less than 0.1% of unnatural U.S. bird deaths.

Avian & wildlife — species of concern

Regulatory checklist

Step 08 · Report

Design report

Regenerated from a fresh run of every step each time you open it, stamped with the date and a hash of the inputs. It prints on a light page.