Machine CEE 2024 2 | Online Design Tools for Locally Manufactured Small Wind Turbines

Submitted by rdelpoux on Mon, 18/11/2024 - 09:40

Duration:

00:04:47

Tabs

Results

Blade Rotor Outputs
Property	Value	Variable name
RPM at the cut-in wind speed (TSR)	417.994 RPM	n_cut_in
RPM at the nominal wind speed (TSR)	700.637 RPM	n_nom
Nominal tip speed ratio	4.4	tsr_nom
RPM at the cut-in wind speed (Flux Linkage)	342 RPM	cutin_RPM
Cut-in Voltage (Flux Linkage)	24 V	cutin_Voltage
Wind speed at cut-in RPM (Flux Linkage)	2.45458 m/s	cutin_Vw
Mechanical power (Torque)	439.607 W	Pmech_Torque_x

Generator Rotor Outputs
Property	Value	Variable name
Rotor disk thickness	6 mm	hr
Magnet width-to-pole pitch ratio	0.599623	ai
Inner-to-outer magnet radius	0.733751	kd
Flux density in airgap	0.261333 T	Bmax
Flux density on magnet surface	0.371648 T	Bmg
First harmonic of flux density in airgap	0.240507 T	Bp
Flux per pole (Calculated)	0.000533973 Wb	Flux_pole
Magnets on a rotor disk	8	magnet_num
Distance between magnets	18.934 mm	dist_magnet_Rin
Magnet mass	1656 g	MagnetMass
Magnet density	7.5 g/cm3	mag_density
Volume of a single magnet	13800 mm3	Vmag
Volume of all magnets	220800 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	230 mm	Dout
Average radius	97.6765 mm	Ravg
Inner radius	82.6765 mm	Rin
Outer radius	115 mm	Rout
Effective outer radius	112.677 mm	Rout_eff
Mass of rotor disks	1.96188 kgr	BackIronMass
Volume of rotor disks	249.285 cm3	BackIronVolume
Maximum flux density in the magnet rotor disk	1.82861 T	SaturMAX
Is the magnet rotor disk saturated?	Yes	Saturation

Generator Stator Outputs
Property	Value	Variable name
Stator thickness	10 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	140	Nc
Copper wire diameter	1.06 mm	dc
Number of wires at hand	1	No_wires_at_hand
Winding fill factor	0.55	kf
Copper wire cross-sectional area	0.882473 mm2	sc
Copper wire diameter (Calculated)	1.06 mm	dc_theor
Coil leg width	21 mm	wc
Average length of coil turn	217.94 mm	lavg
Stator nominal temperature	57.7 C°	tc_real
Stator surface area	549.209 cm²	stator_surface_area
Heat coefficient	0.381055	cq_real
Current density	7.93225 A	Jmax_real
Resistivity of copper at nominal temperature	1.92472E-8 Ohm.m	pt
Resistance of a single coil	0.665472 Ohm	Rc
Phase resistance	1.33094 Ohm	Rphase
Phase inductance	0.00306261 H	Ls
Nagaoka constant	0.164487	Kn
Volume of a single coil	45767.4 mm3	coil_volume
Weight of a single coil	244.154 g	coil_weight_constr
Coil hole at Rin	46 mm	coil_hole_Rin_constr
Coil hole at Rout	46 mm	coil_hole_Rout_constr
Coil mass for construction	1.70908 kgr	mcu_constr
RMS flux linkage of phase A	0.0353228 Wb	FluxRmsA
RMS flux linkage of phase B	0.0348315 Wb	FluxRmsB
RMS flux linkage of phase C	0.0351837 Wb	FluxRmsC
EMF at the cut-in wind speed (Calculated)	10.264 V	EMF_cut_in
EMF at the nominal wind speed (Calculated)	17.2044 V	EMF_nom
RMS of EMF of phase A (Flux Linkage)	20.4961 V	V_rmsA
RMS of EMF of phase B (Flux Linkage)	20.5723 V	V_rmsB
RMS of EMF of phase C (Flux Linkage)	20.512 V	V_rmsC
Current at the nominal wind speed	7 A	Iac_nom
Nominal frequency	46.7091 Hz	fnom
Generator power (Torque)	232.709 W	PelN_Torque_x
Electromagnetic power (Torque)	428.762 W	PHMN_Torque_x
Copper losses (Torque)	195.649 W	PcopperN_Torque_x
Eddy current losses (Torque)	0.404245 W	PeddyN_Torque_x
Generator efficiency (Torque)	0.529357	efftotalN_Torque_x
AC Power at the rectifier (Torque)	209.438 W	PelN_Torque_x_rect
DC Power at the batteries (Torque)	188.494 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 (Torque)	10.8451 W	ProtN_Torque_x

Costs, Mass and Volume
Property	Value	Variable name
Total generator cost	235.317 EUR	Totalcost
Total generator mass	6.03145 kgr	TotalMass
Total generator volume	1.20488 dm3	TotalVolume
Blade rotor mass	0.412897 kgr	blade_rotor_mass
Softwood density	500 kgr/m³	softwood_density
Cost of magnets	153.703 EUR	Magcost
Magnet shipping cost	13.3333 EUR	shippingcost
Copper mass	1.44429 kgr	mcu
Cost of copper	21.3178 EUR	coppercost
Resin mass	0.969279 kgr	resinmass
Cost of resin	13.3885 EUR	resincost
Resin volume	712.705 cm3	ResinVolume
Total mass of one generator rotor	3.61788 kgr	TotalMassRotor
Cost of iron	2.41311 EUR	ironcost
Surface area of moulds	0.2809 m2	woodS
Total cost of moulds	44.4946 EUR	woodcost

Revolutions per minute (RPM)
0
700.636943

I_RMS (A)
0
7

Output files

Octave/Matlab variable file:

simulation-9551.mat

Input parameters

Blade Rotor Inputs

Turbine radius:

0.60m

Cut-in wind speed:

3.00m/s

Nominal wind speed:

10.00m/s

Cut-in TSR:

8.75

Nominal TSR:

4.40

Air density:

1.204kg/m³

Generator Rotor Inputs

AFPM rotor topology:

Single Rotor

Outer diameter:

230.00mm

Magnetic material:

NdFeB N40

Number of generator poles:

Magnet length:

30mm

Magnet width:

46mm

Magnet thickness:

10mm

Rotor disk thickness:

6mm

Mechanical clearance:

3.00mm

Generator Stator Inputs

Select coil type:

Rectangular

Winding fill factor:

0.55

Current at nominal wind speed:

7.00A

Stator thickness:

10mm

Number of turns per coil:

140

Copper wire diameter:

1.06mm

Number of wires at hand:

Coil leg width:

21mm

Stator nominal temperature:

57.70C°

System Inputs

System 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

Simulation Radius:

Average radius

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