Practise 3 | Online Design Tools for Locally Manufactured Small Wind Turbines

Submitted by morganmccaughey on Tue, 02/03/2021 - 13:50

Duration:

00:00:29

Tabs

Results

Blade Rotor Outputs
Property	Value	Variable name
RPM at the cut-in wind speed (TSR)	286.624 RPM	n_cut_in
RPM at the nominal wind speed (TSR)	381.528 RPM	n_nom
Nominal tip speed ratio	1.99667	tsr_nom

Generator Rotor Outputs
Property	Value	Variable name
Rotor disk thickness	10 mm	hr
Magnet width-to-pole pitch ratio	0.673029	ai
Inner-to-outer magnet radius	0.574591	kd
Flux density in airgap	0.571136 T	Bmax
Flux density on magnet surface	0.644848 T	Bmg
First harmonic of flux density in airgap	0.553427 T	Bp
Flux per pole (Calculated)	0.000906556 Wb	Flux_pole
Magnets on a rotor disk	12	magnet_num
Distance between magnets	2.5319 mm	dist_magnet_Rin
Magnet mass	2484 g	MagnetMass
Magnet density	7.5 g/cm3	mag_density
Volume of a single magnet	13800 mm3	Vmag
Volume of all magnets	331200 mm3	VolumeMagnet
Remanent magnetic flux density	1.265 T	Br
Magnetic coercivity	982324 A/m	Hc
Maximum Energy Product	326 KJ/m³	BHmax
Outer diameter	218.334 mm	Dout
Average radius	85.1313 mm	Ravg
Inner radius	62.1313 mm	Rin
Outer radius	109.167 mm	Rout
Effective outer radius	108.131 mm	Rout_eff
Mass of rotor disks	5.89299 kgr	BackIronMass
Volume of rotor disks	748.791 cm3	BackIronVolume
Maximum flux density in the magnet rotor disk	1.15405 T	SaturMAX
Is the magnet rotor disk saturated?	No	Saturation

Generator Stator Outputs
Property	Value	Variable name
Stator thickness	13 mm	tw
Number of phases	3	nphase
Number of coils per phase	3	q
Total number of coils in stator	9	coil_num
Number of turns per coil	31	Nc
Copper wire diameter	1.4 mm	dc
Number of wires at hand	1	No_wires_at_hand
Winding fill factor	0.55	kf
Copper wire cross-sectional area	1.54 mm2	sc
Copper wire cross-sectional area (Calculated)	1.44427 mm²	sc_theor
Copper wire cross-sectional area of a sinlge wire	1.54 mm²	sc_multi_wires
Copper wire diameter (Calculated)	1.3564 mm	dc_theor
Coil leg width	6.67692 mm	wc
Average length of coil turn	172.966 mm	lavg
Stator nominal temperature	64.0792 C°	tc_real
Stator surface area	207.878 cm²	stator_surface_area
Heat coefficient	0.221823	cq_real
Current density	5.62703 A	Jmax_real
Resistivity of copper at nominal temperature	1.95963E-8 Ohm.m	pt
Resistance of a single coil	0.0682298 Ohm	Rc
Phase resistance	0.204689 Ohm	Rphase
Phase inductance	0.000194289 H	Ls
Nagaoka constant	0.292838	Kn
Winding coefficient	0.95	kw
Volume of a single coil	15013.4 mm3	coil_volume
Weight of a single coil	78.5836 g	coil_weight_constr
Coil hole at Ravg	30 mm	coil_hole_Ravg
Coil hole at Rin	30 mm	coil_hole_Rin_constr
Coil hole at Rout	30 mm	coil_hole_Rout_constr
Coil mass for construction	0.785836 kgr	mcu_constr
EMF at the cut-in wind speed (Calculated)	10.264 V	EMF_cut_in
EMF at the nominal wind speed (Calculated)	13.5698 V	EMF_nom
Current at the nominal wind speed	8.66562 A	Iac_nom
Terminal voltage at the nominal wind speed	11.2904 V	V_term_line
Nominal frequency	38.1528 Hz	fnom
Generator power (Calculated)	293.515 W	Pnom
Copper losses (Calculated)	46.1122 W	Pcopper
Eddy current losses (Calculated)	3.83072 W	Peddy
Generator efficiency (Calculated)	0.831499	efficiency_real
AC Power at the rectifier (Calculated)	264.164 W	Pnom_rect
DC Power at the batteries (Calculated)	237.747 W	Pnom_dc

Generator Bearing Hub Outputs
Property	Value	Variable name
Number of bolts on hub	4	No_bolts_hub
Mass of bearing hub	3708.65 g	BearingHubMass
Rotational losses (Calculated)	9.53709 W	Prot

Costs, Mass and Volume
Property	Value	Variable name
Total generator cost	308.473 EUR	Totalcost
Total generator mass	10.3667 kgr	TotalMass
Total generator volume	2.20893 dm3	TotalVolume
Blade rotor mass	0.412897 kgr	blade_rotor_mass
Softwood density	500 kgr/m³	softwood_density
Cost of magnets	230.554 EUR	Magcost
Magnet shipping cost	20 EUR	shippingcost
Copper mass	0.664388 kgr	mcu
Cost of copper	9.80637 EUR	coppercost
Resin mass	1.32534 kgr	resinmass
Cost of resin	18.3068 EUR	resincost
Resin volume	974.517 cm3	ResinVolume
Total mass of one generator rotor	4.18849 kgr	TotalMassRotor
Cost of iron	7.24837 EUR	ironcost
Surface area of moulds	0.26867 m2	woodS
Total cost of moulds	42.5573 EUR	woodcost

Output files

Octave/Matlab variable file:

simulation-6918.mat

Input parameters

Blade Rotor Inputs

Turbine radius:

0.60m

Aerodynamic coefficient:

0.30

Cut-in wind speed:

3.00m/s

Nominal wind speed:

12.00m/s

Cut-in TSR:

6.00

Design TSR:

7.00

Air density:

1.204kg/m³

Generator Rotor Inputs

AFPM rotor topology:

Double Rotor

Magnetic material:

NdFeB N40

Number of generator poles:

Magnet length:

46mm

Magnet width:

30mm

Magnet thickness:

10mm

Rotor disk thickness:

User Defined

Rotor disk thickness:

10mm

Mechanical clearance:

3.00mm

Generator Stator Inputs

Select coil type:

Rectangular

Winding fill factor:

User defined

Winding fill factor:

0.55

Stator thickness:

User defined

Stator thickness:

13mm

Current density:

6.00A/mm2

System Inputs

System voltage:

24.00V

Nominal voltage:

24.00V

Transmission cable losses:

10.00%

Rectifier losses:

10.00%

Financial

Copper price:

12.00€/kg

Iron price:

1.00€/kg

Resin price:

11.23€/kg

Plywood price:

17.60 €/m²

Simulation Inputs

Also run UserAFPM:

false

Constants

Copper resistivity:

1.678E-8 Ω·m

Copper density:

8.94g/cm³

Iron density:

7.87g/cm³

Resin density:

1.36g/cm³