air gap 4mm | Online Design Tools for Locally Manufactured Small Wind Turbines

Submitted by Kostas on Mon, 10/12/2018 - 18:12

Duration:

00:04:51

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)	298.379 RPM	n_nom
Nominal tip speed ratio	3.74764	tsr_nom
RPM at the cut-in wind speed (Flux Linkage)	233 RPM	cutin_RPM
Cut-in Voltage (Flux Linkage)	24 V	cutin_Voltage
Wind speed at cut-in RPM (Flux Linkage)	3.34455 m/s	cutin_Vw
Mechanical power (Torque)	698.127 W	Pmech_Torque_x

Generator Rotor Outputs
Property	Value	Variable name
Rotor disk thickness	10 mm	hr
Magnet width-to-pole pitch ratio	0.453834	ai
Inner-to-outer magnet radius	0.691788	kd
Flux density in airgap	0.536929 T	Bmax
Flux density on magnet surface	0.621617 T	Bmg
First harmonic of flux density in airgap	0.424288 T	Bp
Flux per pole (Calculated)	0.000866056 Wb	Flux_pole
Magnets on a rotor disk	12	magnet_num
Distance between magnets	24.0606 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	300 mm	Dout
Average radius	126.248 mm	Ravg
Inner radius	103.248 mm	Rin
Outer radius	150 mm	Rout
Effective outer radius	149.248 mm	Rout_eff
Mass of rotor disks	11.126 kgr	BackIronMass
Volume of rotor disks	1413.72 cm3	BackIronVolume
Maximum flux density in the magnet rotor disk	1.09103 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	41	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	3.53429 mm2	sc
Copper wire diameter (Calculated)	2.12132 mm	dc_theor
Coil leg width	20 mm	wc
Average length of coil turn	214.8 mm	lavg
Stator nominal temperature	57.85 C°	tc_real
Stator surface area	773.28 cm²	stator_surface_area
Heat coefficient	0.200021	cq_real
Current density	5.31931 A	Jmax_real
Resistivity of copper at nominal temperature	1.9257E-8 Ohm.m	pt
Resistance of a single coil	0.0479848 Ohm	Rc
Phase resistance	0.143954 Ohm	Rphase
Phase inductance	0.000369323 H	Ls
Nagaoka constant	0.206344	Kn
Volume of a single coil	55848 mm3	coil_volume
Weight of a single coil	291.839 g	coil_weight_constr
Coil hole at Rin	30 mm	coil_hole_Rin_constr
Coil hole at Rout	30 mm	coil_hole_Rout_constr
Coil mass for construction	2.91839 kgr	mcu_constr
RMS flux linkage of phase A	0.022784 Wb	FluxRmsA
RMS flux linkage of phase B	0.0222764 Wb	FluxRmsB
RMS flux linkage of phase C	0.0226956 Wb	FluxRmsC
EMF at the cut-in wind speed (Calculated)	10.264 V	EMF_cut_in
EMF at the nominal wind speed (Calculated)	14.6536 V	EMF_nom
RMS of EMF of phase A (Flux Linkage)	12.5744 V	V_rmsA
RMS of EMF of phase B (Flux Linkage)	12.7429 V	V_rmsB
RMS of EMF of phase C (Flux Linkage)	12.5936 V	V_rmsC
Current at the nominal wind speed	18.8 A	Iac_nom
Nominal frequency	29.8379 Hz	fnom
Generator power (Torque)	529.487 W	PelN_Torque_x
Electromagnetic power (Torque)	685.821 W	PHMN_Torque_x
Copper losses (Torque)	152.638 W	PcopperN_Torque_x
Eddy current losses (Torque)	3.69587 W	PeddyN_Torque_x
Generator efficiency (Torque)	0.75844	efftotalN_Torque_x
AC Power at the rectifier (Torque)	476.539 W	PelN_Torque_x_rect
DC Power at the batteries (Torque)	428.885 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)	12.3062 W	ProtN_Torque_x

Costs, Mass and Volume
Property	Value	Variable name
Total generator cost	368.335 EUR	Totalcost
Total generator mass	18.294 kgr	TotalMass
Total generator volume	4.31184 dm3	TotalVolume
Blade rotor mass	3.30317 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	2.50438 kgr	mcu
Cost of copper	36.9647 EUR	coppercost
Resin mass	2.17966 kgr	resinmass
Cost of resin	30.1075 EUR	resincost
Resin volume	1602.69 cm3	ResinVolume
Total mass of one generator rotor	6.80498 kgr	TotalMassRotor
Cost of iron	13.6849 EUR	ironcost
Surface area of moulds	0.36 m2	woodS
Total cost of moulds	57.024 EUR	woodcost

Revolutions per minute (RPM)
0
298.378981

I_RMS (A)
0
18.8

Output files

Octave/Matlab variable file:

simulation-5878.mat

Input parameters

Blade Rotor Inputs

Turbine radius:

1.20m

Cut-in wind speed:

3.00m/s

Nominal wind speed:

10.00m/s

Cut-in TSR:

8.75

Nominal TSR:

3.75

Air density:

1.204kg/m³

Generator Rotor Inputs

AFPM rotor topology:

Double Rotor

Outer diameter:

300.00mm

Magnetic material:

NdFeB N40

Number of generator poles:

Magnet length:

46mm

Magnet width:

30mm

Magnet thickness:

10mm

Rotor disk thickness:

10mm

Mechanical clearance:

4.00mm

Generator Stator Inputs

Select coil type:

Rectangular

Winding fill factor:

0.55

Current at nominal wind speed:

18.80A

Stator thickness:

13mm

Number of turns per coil:

Copper wire diameter:

1.50mm

Number of wires at hand:

Coil leg width:

20mm

Stator nominal temperature:

57.85C°

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