Proper magnet dimensions for My first turbine | Online Design Tools for Locally Manufactured Small Wind Turbines

Submitted by peterfosseus on Wed, 21/03/2018 - 18:18

Duration:

00:06:35

Tabs

Results

Blade Rotor Outputs
Property	Value	Variable name
RPM at the cut-in wind speed (TSR)	125.398 RPM	n_cut_in
RPM at the nominal wind speed (TSR)	521.173 RPM	n_nom
Nominal tip speed ratio	10.9099	tsr_nom

Generator Rotor Outputs
Property	Value	Variable name
Rotor disk thickness	10 mm	hr
Magnet width-to-pole pitch ratio	0.0903443	ai
Inner-to-outer magnet radius	0.873131	kd
Flux density in airgap	0.33408 T	Bmax
Flux density on magnet surface	0.558487 T	Bmg
First harmonic of flux density in airgap	0.079228 T	Bp
Flux per pole (Calculated)	0.000516221 Wb	Flux_pole
Magnets on a rotor disk	8	magnet_num
Distance between magnets	205.019 mm	dist_magnet_Rin
Magnet mass	887.04 g	MagnetMass
Magnet density	7.5 g/cm3	mag_density
Volume of a single magnet	7392 mm3	Vmag
Volume of all magnets	118272 mm3	VolumeMagnet
Remanent magnetic flux density	1.45 T	Br
Magnetic coercivity	1120020 A/m	Hc
Maximum Energy Product	422 KJ/m³	BHmax
Outer diameter	662.466 mm	Dout
Average radius	310.05 mm	Ravg
Inner radius	289.05 mm	Rin
Outer radius	331.233 mm	Rout
Effective outer radius	331.05 mm	Rout_eff
Mass of rotor disks	54.2527 kgr	BackIronMass
Volume of rotor disks	6893.61 cm3	BackIronVolume
Maximum flux density in the magnet rotor disk	0.735651 T	SaturMAX
Is the magnet rotor disk saturated?	No	Saturation

Generator Stator Outputs
Property	Value	Variable name
Stator thickness	12 mm	tw
Number of phases	3	nphase
Number of coils per phase	2	q
Total number of coils in stator	6	coil_num
Number of turns per coil	411	Nc
Copper wire diameter	1.7 mm	dc
Number of wires at hand	1	No_wires_at_hand
Winding fill factor	0.52	kf
Copper wire cross-sectional area	2.27 mm2	sc
Copper wire cross-sectional area (Calculated)	2.02614 mm²	sc_theor
Copper wire cross-sectional area of a sinlge wire	2.27 mm²	sc_multi_wires
Copper wire diameter (Calculated)	1.60657 mm	dc_theor
Coil leg width	151.01 mm	wc
Average length of coil turn	551.752 mm	lavg
Stator nominal temperature	53.4374 C°	tc_real
Stator surface area	9998.38 cm²	stator_surface_area
Heat coefficient	0.172712	cq_real
Current density	5.35543 A	Jmax_real
Resistivity of copper at nominal temperature	1.9494E-8 Ohm.m	pt
Resistance of a single coil	1.94742 Ohm	Rc
Phase resistance	3.89485 Ohm	Rphase
Phase inductance	0.0458158 H	Ls
Nagaoka constant	0.0534559	Kn
Winding coefficient	0.95	kw
Volume of a single coil	999838 mm3	coil_volume
Weight of a single coil	4624.42 g	coil_weight_constr
Coil hole at Ravg	22 mm	coil_hole_Ravg
Coil hole at Rin	0.173422 mm	coil_hole_Rin_constr
Coil hole at Rout	44.123 mm	coil_hole_Rout_constr
Coil mass for construction	32.3709 kgr	mcu_constr
EMF at the cut-in wind speed (Calculated)	14.9683 V	EMF_cut_in
EMF at the nominal wind speed (Calculated)	62.1965 V	EMF_nom
Current at the nominal wind speed	12.1568 A	Iac_nom
Terminal voltage at the nominal wind speed	13.1721 V	V_term_line
Nominal frequency	34.7449 Hz	fnom
Generator power (Calculated)	480.394 W	Pnom
Copper losses (Calculated)	1726.84 W	Pcopper
Eddy current losses (Calculated)	1.03953 W	Peddy
Generator efficiency (Calculated)	0.209744	efficiency_real
AC Power at the rectifier (Calculated)	432.355 W	Pnom_rect
DC Power at the batteries (Calculated)	389.119 W	Pnom_dc

Generator Bearing Hub Outputs
Property	Value	Variable name
Number of bolts on hub	5	No_bolts_hub
Mass of bearing hub	8344.46 g	BearingHubMass
Rotational losses (Calculated)	82.1125 W	Prot

Costs, Mass and Volume
Property	Value	Variable name
Total generator cost	824.102 EUR	Totalcost
Total generator mass	90.0482 kgr	TotalMass
Total generator volume	15.8553 dm3	TotalVolume
Blade rotor mass	15.2925 kgr	blade_rotor_mass
Softwood density	500 kgr/m³	softwood_density
Cost of magnets	102.3 EUR	Magcost
Magnet shipping cost	7.14203 EUR	shippingcost
Copper mass	27.6122 kgr	mcu
Cost of copper	407.555 EUR	coppercost
Resin mass	7.29635 kgr	resinmass
Cost of resin	100.784 EUR	resincost
Resin volume	5364.96 cm3	ResinVolume
Total mass of one generator rotor	27.5699 kgr	TotalMassRotor
Cost of iron	66.7308 EUR	ironcost
Surface area of moulds	0.92634 m2	woodS
Total cost of moulds	146.732 EUR	woodcost

Output files

Octave/Matlab variable file:

simulation-441.mat

Input parameters

Blade Rotor Inputs

Turbine radius:

2.00m

Aerodynamic coefficient:

0.30

Cut-in wind speed:

3.00m/s

Nominal wind speed:

10.00m/s

Cut-in TSR:

8.75

Design TSR:

7.00

Air density:

1.204kg/m³

Generator Rotor Inputs

AFPM rotor topology:

Single Rotor with metal disk

Magnetic material:

NdFeB N52

Number of generator poles:

Magnet length:

42mm

Magnet width:

22mm

Magnet thickness:

8mm

Rotor disk thickness:

Calculated

Mechanical clearance:

3.00mm

Generator Stator Inputs

Select coil type:

Keyhole

Winding fill factor:

Calculated

Stator thickness:

12mm

Current density:

6.00A/mm2

System Inputs

System voltage:

35.00V

Nominal voltage:

28.00V

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