Abdel Karim | Online Design Tools for Locally Manufactured Small Wind Turbines

Submitted by hmos on Tue, 05/05/2020 - 15:35

Duration:

00:08:45

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)	278.017 RPM	n_nom
Nominal tip speed ratio	3.49189	tsr_nom
RPM at the cut-in wind speed (Flux Linkage)	240 RPM	cutin_RPM
Cut-in Voltage (Flux Linkage)	24 V	cutin_Voltage
Wind speed at cut-in RPM (Flux Linkage)	3.44503 m/s	cutin_Vw
Mechanical power (Torque)	654.297 W	Pmech_Torque_x

Generator Rotor Outputs
Property	Value	Variable name
Rotor disk thickness	10 mm	hr
Magnet width-to-pole pitch ratio	0.656301	ai
Inner-to-outer magnet radius	0.670017	kd
Flux density in airgap	0.604487 T	Bmax
Flux density on magnet surface	0.709566 T	Bmg
First harmonic of flux density in airgap	0.577169 T	Bp
Flux per pole (Calculated)	0.000990036 Wb	Flux_pole
Magnets on a rotor disk	16	magnet_num
Distance between magnets	6.6786 mm	dist_magnet_Rin
Magnet mass	3312 g	MagnetMass
Magnet density	7.5 g/cm3	mag_density
Volume of a single magnet	13800 mm3	Vmag
Volume of all magnets	441600 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	280.412 mm	Dout
Average radius	116.401 mm	Ravg
Inner radius	93.4013 mm	Rin
Outer radius	140.206 mm	Rout
Effective outer radius	139.401 mm	Rout_eff
Mass of rotor disks	9.72048 kgr	BackIronMass
Volume of rotor disks	1235.13 cm3	BackIronVolume
Maximum flux density in the magnet rotor disk	1.27705 T	SaturMAX
Is the magnet rotor disk saturated?	No	Saturation

Generator Stator Outputs
Property	Value	Variable name
Stator thickness	15 mm	tw
Number of phases	3	nphase
Number of coils per phase	4	q
Total number of coils in stator	12	coil_num
Number of turns per coil	22	Nc
Copper wire diameter	1.5 mm	dc
Number of wires at hand	2	No_wires_at_hand
Winding fill factor	0.55	kf
Copper wire cross-sectional area	3.54 mm2	sc
Copper wire cross-sectional area (Calculated)	3.32986 mm²	sc_theor
Copper wire cross-sectional area of a sinlge wire	1.77 mm²	sc_multi_wires
Copper wire diameter (Calculated)	2.05958 mm	dc_theor
Coil leg width	9.44 mm	wc
Average length of coil turn	181.642 mm	lavg
Stator nominal temperature	75.0493 C°	tc_real
Stator surface area	411.527 cm²	stator_surface_area
Heat coefficient	0.267945	cq_real
Current density	5.64383 A	Jmax_real
Resistivity of copper at nominal temperature	2.03927E-8 Ohm.m	pt
Resistance of a single coil	0.0230202 Ohm	Rc
Phase resistance	0.0920807 Ohm	Rphase
Phase inductance	0.000126448 H	Ls
Nagaoka constant	0.29694	Kn
Winding coefficient	0.95	kw
Volume of a single coil	25720.5 mm3	coil_volume
Weight of a single coil	137.964 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	1.79354 kgr	mcu_constr
RMS flux linkage of phase A	0.0125852 Wb	FluxRmsA
RMS flux linkage of phase B	0.0123227 Wb	FluxRmsB
RMS flux linkage of phase C	0.0125699 Wb	FluxRmsC
EMF at the cut-in wind speed (Calculated)	10.264 V	EMF_cut_in
EMF at the nominal wind speed (Calculated)	13.6242 V	EMF_nom
RMS of EMF of phase A (Flux Linkage)	11.4857 V	V_rmsA
RMS of EMF of phase B (Flux Linkage)	11.5434 V	V_rmsB
RMS of EMF of phase C (Flux Linkage)	11.4858 V	V_rmsC
Current at the nominal wind speed	19.9792 A	Iac_nom
Terminal voltage at the nominal wind speed	11.2904 V	V_term_line
Nominal frequency	37.0689 Hz	fnom
Generator power (Calculated)	676.719 W	Pnom
Generator power (Torque)	528.132 W	PelN_Torque_x
Electromagnetic power (Torque)	643.151 W	PHMN_Torque_x
Copper losses (Calculated)	110.267 W	Pcopper
Copper losses (Torque)	110.267 W	PcopperN_Torque_x
Eddy current losses (Torque)	4.75253 W	PeddyN_Torque_x
Generator efficiency (Torque)	0.807175	efftotalN_Torque_x
Generator efficiency (Calculated)	0.827986	efficiency_real
AC Power at the rectifier (Calculated)	609.047 W	Pnom_rect
AC Power at the rectifier (Torque)	475.319 W	PelN_Torque_x_rect
DC Power at the batteries (Calculated)	548.142 W	Pnom_dc
DC Power at the batteries (Torque)	427.787 W	PelN_Torque_x_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)	11.1453 W	Prot
Rotational losses (Torque)	11.1453 W	ProtN_Torque_x

Costs, Mass and Volume
Property	Value	Variable name
Total generator cost	498.169 EUR	Totalcost
Total generator mass	16.7234 kgr	TotalMass
Total generator volume	3.76715 dm3	TotalVolume
Blade rotor mass	3.30317 kgr	blade_rotor_mass
Softwood density	500 kgr/m³	softwood_density
Cost of magnets	380.432 EUR	Magcost
Magnet shipping cost	26.6667 EUR	shippingcost
Copper mass	1.51761 kgr	mcu
Cost of copper	22.3999 EUR	coppercost
Resin mass	2.17329 kgr	resinmass
Cost of resin	30.0194 EUR	resincost
Resin volume	1598 cm3	ResinVolume
Total mass of one generator rotor	6.51624 kgr	TotalMassRotor
Cost of iron	11.9562 EUR	ironcost
Surface area of moulds	0.336878 m2	woodS
Total cost of moulds	53.3615 EUR	woodcost

Revolutions per minute (RPM)
0
27.80165
55.603301
83.404951
111.206601
139.008252
166.809902
194.611553
222.413203
250.214853
278.016504

I_RMS (A)
0
3.995833
7.991666
11.987499
15.983332
19.979165

Output files

Octave/Matlab variable file:

simulation-6353.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 N52

Number of generator poles:

Magnet length:

46mm

Magnet width:

30mm

Magnet thickness:

10mm

Rotor disk thickness:

Calculated

Mechanical clearance:

3.00mm

Generator Stator Inputs

Select coil type:

Rectangular

Winding fill factor:

Calculated

Stator thickness:

Calculated

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:

true

Simulation step:

Current step:

RPM Step:

Mesh size:

Automesh

Constants

Copper resistivity:

1.678E-8 Ω·m

Copper density:

8.94g/cm³

Iron density:

7.87g/cm³

Resin density:

1.36g/cm³