Magnet Calculations | Online Design Tools for Locally Manufactured Small Wind Turbines

Submitted by morganmccaughey on Tue, 23/03/2021 - 20:58

Duration:

00:01:35

Tabs

Results

Blade Rotor Outputs
Property	Value	Variable name
RPM at the cut-in wind speed (TSR)	208.997 RPM	n_cut_in
RPM at the nominal wind speed (TSR)	1145.2 RPM	n_nom
Nominal tip speed ratio	14.3837	tsr_nom

Generator Rotor Outputs
Property	Value	Variable name
Rotor disk thickness	10 mm	hr
Magnet width-to-pole pitch ratio	0.081581	ai
Inner-to-outer magnet radius	0.851694	kd
Flux density in airgap	0.223822 T	Bmax
Flux density on magnet surface	0.54204 T	Bmg
First harmonic of flux density in airgap	0.0622127 T	Bp
Flux per pole (Calculated)	0.000137176 Wb	Flux_pole
Magnets on a rotor disk	8	magnet_num
Distance between magnets	102.76 mm	dist_magnet_Rin
Magnet mass	150 g	MagnetMass
Magnet density	7.5 g/cm3	mag_density
Volume of a single magnet	1250 mm3	Vmag
Volume of all magnets	20000 mm3	VolumeMagnet
Remanent magnetic flux density	1.3 T	Br
Magnetic coercivity	1006580 A/m	Hc
Maximum Energy Product	342 KJ/m³	BHmax
Outer diameter	337.29 mm	Dout
Average radius	156.071 mm	Ravg
Inner radius	143.571 mm	Rin
Outer radius	168.645 mm	Rout
Effective outer radius	168.571 mm	Rout_eff
Mass of rotor disks	14.0637 kgr	BackIronMass
Volume of rotor disks	1787.01 cm3	BackIronVolume
Maximum flux density in the magnet rotor disk	0.31281 T	SaturMAX
Is the magnet rotor disk saturated?	No	Saturation

Generator Stator Outputs
Property	Value	Variable name
Stator thickness	14 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	636	Nc
Copper wire diameter	1.06 mm	dc
Number of wires at hand	1	No_wires_at_hand
Winding fill factor	0.57	kf
Copper wire cross-sectional area	0.88 mm2	sc
Copper wire cross-sectional area (Calculated)	0.807259 mm²	sc_theor
Copper wire cross-sectional area of a sinlge wire	0.88 mm²	sc_multi_wires
Copper wire diameter (Calculated)	1.01408 mm	dc_theor
Coil leg width	70.1353 mm	wc
Average length of coil turn	290.225 mm	lavg
Stator nominal temperature	68.662 C°	tc_real
Stator surface area	2442.6 cm²	stator_surface_area
Heat coefficient	0.241578	cq_real
Current density	5.50404 A	Jmax_real
Resistivity of copper at nominal temperature	1.99858E-8 Ohm.m	pt
Resistance of a single coil	4.19209 Ohm	Rc
Phase resistance	8.38417 Ohm	Rphase
Phase inductance	0.056182 H	Ls
Nagaoka constant	0.115428	Kn
Winding coefficient	0.95	kw
Volume of a single coil	284970 mm3	coil_volume
Weight of a single coil	1456.72 g	coil_weight_constr
Coil hole at Ravg	10 mm	coil_hole_Ravg
Coil hole at Rin	10 mm	coil_hole_Rin_constr
Coil hole at Rout	10 mm	coil_hole_Rout_constr
Coil mass for construction	10.197 kgr	mcu_constr
EMF at the cut-in wind speed (Calculated)	10.264 V	EMF_cut_in
EMF at the nominal wind speed (Calculated)	56.1985 V	EMF_nom
Current at the nominal wind speed	4.84355 A	Iac_nom
Terminal voltage at the nominal wind speed	11.2904 V	V_term_line
Nominal frequency	76.3468 Hz	fnom
Generator power (Calculated)	164.057 W	Pnom
Copper losses (Calculated)	590.078 W	Pcopper
Eddy current losses (Calculated)	0.441381 W	Peddy
Generator efficiency (Calculated)	0.204256	efficiency_real
AC Power at the rectifier (Calculated)	147.651 W	Pnom_rect
DC Power at the batteries (Calculated)	132.886 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)	48.6151 W	Prot

Costs, Mass and Volume
Property	Value	Variable name
Total generator cost	271.166 EUR	Totalcost
Total generator mass	25.7341 kgr	TotalMass
Total generator volume	4.46752 dm3	TotalVolume
Blade rotor mass	3.30317 kgr	blade_rotor_mass
Softwood density	500 kgr/m³	softwood_density
Cost of magnets	22.1537 EUR	Magcost
Magnet shipping cost	1.20773 EUR	shippingcost
Copper mass	8.71291 kgr	mcu
Cost of copper	128.603 EUR	coppercost
Resin mass	2.80743 kgr	resinmass
Cost of resin	38.7787 EUR	resincost
Resin volume	2064.29 cm3	ResinVolume
Total mass of one generator rotor	7.10687 kgr	TotalMassRotor
Cost of iron	17.2984 EUR	ironcost
Surface area of moulds	0.406138 m2	woodS
Total cost of moulds	64.3323 EUR	woodcost

Output files

Octave/Matlab variable file:

simulation-7059.mat

Input parameters

Blade Rotor Inputs

Turbine radius:

1.20m

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:

Double Rotor

Magnetic material:

NdFeB N42

Number of generator poles:

Magnet length:

25mm

Magnet width:

10mm

Magnet thickness:

5mm

Rotor disk thickness:

Calculated

Mechanical clearance:

3.00mm

Generator Stator Inputs

Select coil type:

Rectangular

Winding fill factor:

Calculated

Stator thickness:

User defined

Stator thickness:

14mm

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