Submitted by David Harrop on Fri, 23/10/2020 - 16:41 Duration: 00:05:35Tabs Results Generator efficiency vs speed plot (Flux linkage)Generator efficiency vs current plot (Flux linkage)Electromagnetic efficiency vs speed plot (Flux Linkage) Electromagnetic efficiency vs current plot (Flux Linkage) Copper losses vs current plot (Flux Linkage)Rotational losses vs speed plot (Flux Linkage)Eddy current losses vs speed plot (Flux Linkage)Generator power vs speed plot (Flux Linkage)Generator power vs current plot (Flux Linkage)Electromagnetic power vs speed plot (Flux Linkage) Electromagnetic power vs current plot (Flux Linkage) Mechanical power vs speed plot (Flux Linkage)Mechanical power vs current plot (Flux Linkage)Force in airgap plotTorque plot (Torque)Average torque plot (Torque)Electromagnetic torque vs speed plot (Flux Linkage)Rotational losses torque vs speed plot (Flux Linkage)Mechanical torque vs speed plot (Flux Linkage)Frequency plotTerminal voltage vs speed plot (Flux Linkage)Terminal voltage vs current plot (Flux Linkage)DC power plot (Flux Linkage) DC current plot (Flux Linkage)DC voltage (Flux Linkage)Average RMS flux linkage plotFlux linkage plot of phase AFlux linkage plot of phase BFlux linkage plot of phase CEMF plot of phase AEMF plot of phase BEMF plot of phase CCurrent of phase A plotCurrent of phase B plotCurrent of phase C plotEMF vs speed plot (Flux Linkage)EMF vs current plot (Flux Linkage)Flux density in airgap plotFlux density on magnet surface plotPower angle plotMechanical angle plotFlux density in the magnet rotor disk Blade Rotor Outputs PropertyValueVariable name RPM at the cut-in wind speed (TSR)102.366 RPMn_cut_in RPM at the nominal wind speed (TSR)204.732 RPMn_nom Nominal tip speed ratio5 tsr_nom RPM at the cut-in wind speed (Flux Linkage)109 RPMcutin_RPM Cut-in Voltage (Flux Linkage)56 Vcutin_Voltage Wind speed at cut-in RPM (Flux Linkage)2.66202 m/scutin_Vw Mechanical power (Torque)339.225 WPmech_Torque_x Generator Rotor Outputs PropertyValueVariable name Rotor disk thickness10 mmhr Magnet width-to-pole pitch ratio0.440662 ai Inner-to-outer magnet radius0.603578 kd Flux density in airgap0.787599 TBmax Flux density on magnet surface0.791943 TBmg First harmonic of flux density in airgap0.587322 TBp Flux per pole (Calculated)0.00209558 WbFlux_pole Magnets on a rotor disk12 magnet_num Distance between magnets24.791 mmdist_magnet_Rin Magnet mass4725 gMagnetMass Magnet density7.5 g/cm3mag_density Volume of a single magnet26250 mm3Vmag Volume of all magnets630000 mm3VolumeMagnet Remanent magnetic flux density1.35 TBr Magnetic coercivity1041910 A/mHc Maximum Energy Product366 KJ/m³BHmax Outer diameter380 mmDout Average radius151.692 mmRavg Inner radius114.192 mmRin Outer radius190 mmRout Effective outer radius189.192 mmRout_eff Mass of rotor disks17.851 kgrBackIronMass Volume of rotor disks2268.23 cm3BackIronVolume Maximum flux density in the magnet rotor disk1.52801 TSaturMAX Is the magnet rotor disk saturated?Yes Saturation Generator Stator Outputs PropertyValueVariable name Stator thickness10 mmtw Number of phases3 nphase Number of coils per phase3 q Total number of coils in stator9 coil_num Number of turns per coil70 Nc Copper wire diameter0.72 mmdc Number of wires at hand1 No_wires_at_hand Winding fill factor0.55 kf Copper wire cross-sectional area0.40715 mm2sc Copper wire diameter (Calculated)0.72 mmdc_theor Coil leg width21 mmwc Average length of coil turn313.97 mmlavg Stator nominal temperature40 C°tc_real Stator surface area1186.81 cm²stator_surface_area Heat coefficient0.00730862 cq_real Current density4.91219 AJmax_real Resistivity of copper at nominal temperature1.80888E-8 Ohm.mpt Resistance of a single coil0.976431 OhmRc Phase resistance2.92929 OhmRphase Phase inductance0.00195934 HLs Nagaoka constant0.135212 Kn Volume of a single coil65933.6 mm3coil_volume Weight of a single coil82.2835 gcoil_weight_constr Coil hole at Ravg63.4012 mmcoil_hole_Ravg Coil hole at Rin37.0568 mmcoil_hole_Rin_constr Coil hole at Rout88.7467 mmcoil_hole_Rout_constr Coil mass for construction0.822835 kgrmcu_constr RMS flux linkage of phase A0.116227 WbFluxRmsA RMS flux linkage of phase B0.11452 WbFluxRmsB RMS flux linkage of phase C0.116179 WbFluxRmsC EMF at the cut-in wind speed (Calculated)23.9493 VEMF_cut_in EMF at the nominal wind speed (Calculated)47.8987 VEMF_nom RMS of EMF of phase A (Flux Linkage)45.5854 VV_rmsA RMS of EMF of phase B (Flux Linkage)46.0464 VV_rmsB RMS of EMF of phase C (Flux Linkage)45.5909 VV_rmsC Current at the nominal wind speed2 AIac_nom Nominal frequency20.4732 Hzfnom Generator power (Torque)291.032 WPelN_Torque_x Electromagnetic power (Torque)326.315 WPHMN_Torque_x Copper losses (Torque)35.1515 WPcopperN_Torque_x Eddy current losses (Torque)0.131124 WPeddyN_Torque_x Generator efficiency (Torque)0.857932 efftotalN_Torque_x AC Power at the rectifier (Torque)261.929 WPelN_Torque_x_rect DC Power at the batteries (Torque)235.736 WPelN_Torque_x_dc Generator Bearing Hub Outputs PropertyValueVariable name Number of bolts on hub4 No_bolts_hub Mass of bearing hub3708.65 gBearingHubMass Rotational losses (Torque)12.9103 WProtN_Torque_x Costs, Mass and Volume PropertyValueVariable name Total generator cost610.8 EURTotalcost Total generator mass25.839 kgrTotalMass Total generator volume6.01081 dm3TotalVolume Blade rotor mass5.24532 kgrblade_rotor_mass Softwood density500 kgr/m³softwood_density Cost of magnets469.846 EURMagcost Magnet shipping cost38.0435 EURshippingcost Copper mass0.71998 kgrmcu Cost of copper10.6269 EURcoppercost Resin mass2.54302 kgrresinmass Cost of resin35.1264 EURresincost Resin volume1869.87 cm3ResinVolume Total mass of one generator rotor11.288 kgrTotalMassRotor Cost of iron21.9567 EURironcost Surface area of moulds0.4624 m2woodS Total cost of moulds73.2442 EURwoodcost Revolutions per minute (RPM) 0 204.731574 IRMS (A) 0 2 Output files Octave/Matlab variable file: simulation-6523.mat Input parameters Blade Rotor Inputs Turbine radius: 1.40mCut-in wind speed: 2.50m/sNominal wind speed: 6.00m/sCut-in TSR: 6.00Nominal TSR: 5.00Air density: 1.204kg/m³ Generator Rotor Inputs AFPM rotor topology: Double RotorOuter diameter: 380.00mmMagnetic material: NdFeB N45Number of generator poles: 12Magnet length: 75mmMagnet width: 35mmMagnet thickness: 10mmRotor disk thickness: 10mmMechanical clearance: 1.50mm Generator Stator Inputs Select coil type: KeyholeWinding fill factor: 0.55Current at nominal wind speed: 2.00AStator thickness: 10mmNumber of turns per coil: 70Copper wire diameter: 0.72mmNumber of wires at hand: 1Coil leg width: 21mmStator nominal temperature: 40.00C° System Inputs System voltage: 56.00VTransmission cable losses: 10.00%Rectifier losses: 10.00% Financial Copper price: 12.00€/kgIron price: 1.00€/kgResin price: 11.23€/kgPlywood price: 17.60 €/m² Simulation Inputs Simulation Radius: Average radiusSimulation step: 2Current step: 1RPM Step: 1Mesh size: Automesh Constants Copper resistivity: 1.678E-8 Ω·mCopper density: 8.94g/cm³Iron density: 7.87g/cm³Resin density: 1.36g/cm³