CN103878270A - Wire winding method for flywheel rotor of flywheel energy storage system - Google Patents

Wire winding method for flywheel rotor of flywheel energy storage system Download PDF

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Publication number
CN103878270A
CN103878270A CN201210560082.6A CN201210560082A CN103878270A CN 103878270 A CN103878270 A CN 103878270A CN 201210560082 A CN201210560082 A CN 201210560082A CN 103878270 A CN103878270 A CN 103878270A
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steel wire
contact
wheel hub
flywheel
stress
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CN103878270B (en
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蒋涛
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Beijing Qifengjuneng Science and Technology Co.,Ltd.
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BEIJING QIFENG ENERGY TECHNOLOGY Co Ltd
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Abstract

The invention relates to a wire winding method for a flywheel rotor of a flywheel energy storage system and solves the problem that the existing wire design method for flywheel rotors is absent. The flywheel rotor wire problem is theoretically simplified, a wire equivalent model is established on the basis of a wire tension winding and fitting process, contact stress of each layer of wires is acquired by the finite element method, and tension required by wires during the fitting process is acquired according to a theoretical equation. The dimensions, number of layers, turns of winding and tension of winding of the wires can be acquired by the wire winding method. The size and cost of the wires for flywheel rotors, designed according to the wire winding method, can be decreased.

Description

The steel wire winding method of flywheel rotor for a kind of flywheel energy storage system
Technical field
The present invention relates to the steel wire winding method of a kind of flywheel energy storage system flywheel rotor.
Background technology
Flywheel rotor is most important link in flywheel energy storage system.In order to improve energy storage density, can arrange carbon fiber enhancement resin base composite material in the outside of metal wheel hub, or be wound around high-tensile steel wires.The price of carbon fibre reinforced composite is 300~800 yuan of per kilograms, and the price of high-tensile steel wires is 20~50 yuan of per kilograms.Compared with composite flywheel, steel wire winding flywheel has advantages of that volume is little, cost is low.
Introduce steel wire winding technology in accumulated energy flywheel field, the structure to flywheel rotor new challenge.In steel wire winding flywheel, use be compressor wire.Compressor wire is usually used in ultrahigh pressure vessel, high-pressure reaction vessel on Large-scale High-Pressure water vat and synthesizing superhard material installation etc., and its operating pressure is from several kilo-atmospheric pressures to atmospheric pressure up to ten thousand, and its method for designing is ripe.
Compared with the steel wire using on the equipment such as high-pressure bottle, flywheel rotor has obvious difference with steel wire: flywheel rotates, and high-pressure bottle is static.Rotatablely move and can produce huge centrifugal force, cause steel wire diameter to become large, come off from flywheel hub.Therefore, the compressor wire method for designing on the equipment such as high-pressure bottle be not suitable for the compressor wire on flywheel rotor.
The precedent that does not also use steel wire to be wound around on flywheel current wheel hub, all in the exploratory stage, not yet has open source literature to introduce the method for designing of flywheel rotor steel wire in theoretical method and engineering practice.
Summary of the invention
The object of the present invention is to provide the steel wire winding method of a kind of flywheel energy storage system flywheel rotor, solve the problem of flywheel current rotor steel wire method for designing vacancy.
The present invention solves the problems of the technologies described above the technical scheme of taking to be: described Optimization Design is realized by following steps:
Step 1: the polar moment of inertia index J that determines steel wire part 1, steel wire floor height H 1, innermost layer steel wire internal diameter Φ 1, steel wire is wrapped on wheel hub periphery in a spiral manner;
Step 2: select the sectional dimension of steel wire, section of steel wire is rectangle, and cross-sectional length is L 1, cross-sectional width is B 1, and obtain the density p of wire material 1, Poisson's ratio μ 1, elastic modulus E 1, steel wire allowable stress σ 1, steel wire and steel wire coefficient of friction f 1, steel wire and wheel hub coefficient of friction f 2, obtain the density p of wheel hub 2, Poisson's ratio μ 2, elastic modulus E 2;
Step 3: the external diameter Φ that calculates outermost layer steel wire outward, as formula (1):
Φ outward=2 (2J 1/ ρ H 1π+Φ 1 4/ 16) 1/4(1)
Step 4: calculate the number of turns N of steel wire winding, as formula (2):
N=H 1/L 1(2)
Step 5: calculate the number of plies M of steel wire winding, as formula (3):
M=(Φ 21)/B 1(3)
Step 6: the internal diameter Φ that calculates n layer steel wire n, as formula (4):
Φ n=Φ 1+(n-1)B 1(4)
Wherein n represents the sequence number of steel wire floor, counts outward from interior, and innermost layer is ground floor;
Step 7: the three-dimensional entity model of wheel hub is imported in common finite element analysis software Ansys, use the International System of Units;
Step 8: in Ansys software, set up the equivalent model of every layer of steel wire, equivalent model is thin cylinder shape, and wall thickness is B 1, the internal diameter Φ that barrel bore is this layer of steel wire n, be highly H 1;
Step 9: define the material properties of steel wire in Ansys software, comprise the density p of steel wire 1, Poisson's ratio μ 1, elastic modulus E 1, the density p of wheel hub 2, Poisson's ratio μ 2, elastic modulus E 2;
Step 10: to equivalent model partition grid, cell type is hexahedron 20 node unit SOLID186, unit size B 1;
Step 11: wheel hub grid is divided, and cell type is tetrahedron ten node unit SOLID187, and unit size is 2B 1;
Step 12: the equivalent model that innermost layer steel wire is set is right with contacting of wheel hub, osculating element type is plane-plane contact, coefficient of friction f 2, contact-making surface side-play amount is B 1/ 20;
Step 13: all the other M-1 the contacts between adjacent equivalent model are set right, osculating element type is plane-plane contact, coefficient of friction f 1, contact-making surface side-play amount is B 1/ 20;
Step 14: it is static(al) that definition solves type;
Step 15: definition constraints, the lower surface six-freedom degree of wheel hub retrains entirely, and wheel hub upper surface confinement ring is to the free degree;
Step 10 six: definition working speed, unit is radian per second;
Step 10 seven: model is submitted to solver, obtain model stress value after having calculated;
Step 10 eight: whether the maximum stress that checks steel wire is not more than allowable stress σ 1, as be false, change the steel wire that intensity is higher, return to step 2 and recalculate, as set up, carry out step 10 nine;
Step 10 nine: check the contact stress that each contact is right, if contact stress is in 10~20MPa, carry out step 2 ten, while being greater than 20MPa as contact stress, according to B 1/ 200 amplitude reduces this and contacts right contact-making surface side-play amount and recalculate, until touch stress in 10~20MPa, as contact stress is less than 10MPa, according to B 1/ 200 amplitude reduces this and contacts right contact-making surface side-play amount and recalculate, until touch stress in 10~20MPa;
Step 2 ten: according to the contact-making surface side-play amount of each equivalent model, the tension force F while calculating n layer steel wire winding n, as formula (5):
F n=2E 1L 1B 1δ nn (5)
Wherein F nbe n layer steel wire winding tension force, δ nit is the contact-making surface side-play amount of n layer.
Beneficial effect
The present invention carries out theory by flywheel rotor with the engineering problem of steel wire and simplifies, catch steel wire tension to be wound around the essence of assembling, set up the equivalent model of steel wire, obtained the contact stress of each layer of steel wire by FEM calculation,, and obtain the required tension force of steel wire in assembling process according to theoretical formula.By the present invention, can obtain appearance and size, the number of plies, the winding number of turns and the winding tension of flywheel rotor steel wire.Compared with realizing the carbon fiber enhancement resin base composite material of same performance, the volume of steel wire assembly has reduced 64%, and price has reduced more than 70%.
Accompanying drawing explanation
Fig. 1 is design flow diagram of the present invention.
Fig. 2 is steel wire floor of the present invention and wheel hub schematic diagram.
Fig. 3 is steel wire floor equivalent model of the present invention and wheel hub schematic diagram.
Fig. 4 is carbon fiber enhancement resin base composite material of the present invention and wheel hub schematic diagram.
The specific embodiment one
As shown in Figure 1, the flywheel rotor of present embodiment is realized by following steps by the method for designing of steel wire:
Step 1: the polar moment of inertia index J that determines steel wire assembly 2 1=0.00255kg.m 2, steel wire floor height H 1the internal diameter Φ of=0.09m, innermost layer steel wire 1=0.06mm, steel wire is wrapped on wheel hub 1 periphery in a spiral manner;
Step 2: select the sectional dimension of steel wire, section of steel wire is rectangle, and cross-sectional length is L 1=0.005m, width is B 1=0.002m, and obtain the density p of wire material 1=7900kg/m 3, Poisson's ratio μ 1=0.3, elastic modulus E 1=2.1 × 10 11the allowable stress σ of pa, steel wire 1the coefficient of friction f of=2000Mpa, steel wire and steel wire 1=0.1, the coefficient of friction f of steel wire and wheel hub 1 2=0.1, obtain the density p of wheel hub 1 2=7800kg/m 3, Poisson's ratio μ 2=0.3, elastic modulus E 2=1.9 × 10 11pa;
Step 3: the external diameter Φ that calculates outermost layer steel wire outward, as formula (1):
Φ outward=2 (2J 1/ ρ H 1π+Φ 1 4/ 16) 1/4
=2×(2×0.00255/7900×0.002×3.14+0.06 4/16) 1/4=0.084m(1)
The derivation of formula (1) is as follows:
The rotary inertia computing formula of steel wire part is
J 1=m (Φ 1 2/ 4+ Φ outward 2/ 4) 2/ 2 (6)
Wherein m is steel wire assembly 2 quality, and the computing formula of m is
M=ρ π (Φ outward 2/ 4-Φ 1 2/ 4) H 1(7)
Formula (7) is brought in formula (6), can be obtained the external diameter Φ of outermost layer steel wire outward, as follows:
Φ outward=2 (2J 1/ ρ H 1π+Φ 1 4/ 16) 1/4(1)
Step 4: calculate the number of turns N of assembly 2 steel wire windings, as formula (2):
N=H 1/ L 1=0.09/5=18 encloses (2)
Step 5: calculate the number of plies M that steel wire assembly 2 is wound around, as formula (3):
M=(Φ outward1)/2B 1=(0.084-0.06)/2=6 layer (3) step 6: the internal diameter Φ that calculates n layer steel wire n, as formula (4):
Φ n=Φ 1+(n-1)B 1 (4)
Wherein n represents the sequence number of steel wire floor, counts outward from interior, and innermost layer is ground floor;
Φ 2=Φ 1+(2-1)2B 1=0.06+(2-1)×4=0.064m
Φ 3=Φ 1+(n-1)2B 1=0.06+(3-1)×4=0.068m
Φ 4=Φ 1+(n-1)2B 1=0.06+(4-1)×4=0.072m
Φ 5=Φ 1+(n-1)2B 1=0.06+(5-1)×4=0.076m
Φ 6=Φ 1+(n-1)2B 1=0.06+(6-1)×4=0.08m
Step 7: the three-dimensional entity model of wheel hub 1 is imported in common finite element analysis software Ansys, use the International System of Units;
Step 8: in Ansys software, set up the equivalent model of every layer of steel wire, equivalent model is thin cylinder shape, and wall thickness is B 1=0.002m, the internal diameter Φ that barrel bore is this layer of steel wire n, be highly H 1=0.09mm;
Step 9: define the material properties of steel wire in Ansys software, comprise the density p of steel wire 1=7900kg/m 3, Poisson's ratio μ 1=0.3, elastic modulus E 1=2.1 × 10 11pa, the density p of wheel hub 1 2=7800kg/m 3, Poisson's ratio μ 2=0.3, elastic modulus E 2=1.9 × 10 11pa;
Step 10: to equivalent model 3 grid divisions, cell type is hexahedron 20 node unit SOLID186, unit size B 1=0.002m;
Step 11: wheel hub 1 grid is divided, and cell type is tetrahedron ten node unit SOLID187, and unit size is 2B 1=0.004m;
Step 12: the equivalent model that innermost layer steel wire is set is right with contacting of wheel hub 1, osculating element type is plane-plane contact, coefficient of friction f 2=0.1, contact-making surface side-play amount is B 1/ 20=0.0001m;
Step 13: all the other M-1 the contacts between adjacent equivalent model are set right, osculating element type is plane-plane contact, coefficient of friction f 1=0.1, contact-making surface side-play amount is B 1/ 20=0.0001m;
Step 14: it is static(al) that definition solves type;
Step 15: definition constraints, the lower surface six-freedom degree of wheel hub 1 retrains entirely, and wheel hub 1 upper surface confinement ring is to the free degree;
Step 10 six: definition working speed is 100000 revs/min, i.e. 10472 radian per seconds;
Step 10 seven: model is submitted to solver, obtain model stress value after having calculated;
Step 10 eight: the maximum stress of steel wire is 1700Mpa, is less than allowable stress σ 1=2000Mpa;
Step 10 nine: check the contact stress that each contact is right, if contact stress is in 10~20MPa, carry out step 2 ten, while being greater than 20MPa as contact stress, according to B 1/ 200 amplitude reduces this and contacts right contact-making surface side-play amount and recalculate, until touch stress in 10~20MPa, as contact stress is less than 10MPa, according to B 1/ 200 amplitude reduces this and contacts right contact-making surface side-play amount and recalculate, until touch stress in 10~20MPa;
Step 2 ten: according to the contact-making surface side-play amount of each equivalent model, the tension force F while calculating n layer steel wire winding n, as formula (5):
F n=2E 1L 1B 1δ nn (5)
Wherein F nbe n layer steel wire winding tension force, δ nit is the contact-making surface side-play amount of n layer.
F 1=2E 1L 1B 1δ 11=2×2.1×10 11×0.005×0.002×0.00009/0.06=6300N
F 2=2E 1L 1B 1δ 22=2×2.1×10 11×0.005×0.002×0.00004/0.064=2600N
F 3=2E 1L 1B 1δ 33=2×2.1×10 11×0.005×0.002×0.00004/0.068=2500N
F 4=2E 1L 1B 1δ 44=2×2.1×10 11×0.005×0.002×0.00003/0.072=1800N
F 5=2E 1L 1B 1δ 55=2×2.1×10 11×0.005×0.002×0.00005/0.076=2800N
F 6=2E 1L 1B 1δ 66=2×2.1×10 11×0.005×0.002×0.00007/0.08=3700N
The derivation of formula (5) is as follows:
Steel wire winding tension force F ncomputing formula be:
F n=σ nA (8)
Wherein A is section of steel wire area, σ nit is the cross section tension of n layer steel wire.The computing formula of A is
A=L 1B 1(9)
σ ncomputing formula be
σ n=E 1ε n (10)
Wherein ε nfor the strain of n layer steel wire, ε ncomputing formula be
ε n=(πΦ n-π(Φ n-2δ n))/πΦ n (11)
By formula (11) substitution formula (10), then by formula (10) substitution formula (9), then by formula (9) substitution formula (8), can obtain
F n=2E 1L 1B 1δ nn (5)
Step 2 11: calculate weight, volume and the cost of steel wire part, obtain steel wire weight according to formula (7) and be:
M steel wire=ρ π (Φ outward 2/ 4-Φ 1 2/ 4) H 1
=7800×3.14×(0.084 2/4-0.06 2/4)×0.09
=1.904kg
Steel wire volume is:
V steel wire=π (Φ outward 2/ 4-Φ 1 2/ 4) H 1
=3.14×(0.084 2/4-0.06 2/4)×0.09
=0.000244m 3
Steel wire price P steel wirebe 50 yuan/kilogram~80 yuan/kilogram, getting average is 65 yuan/kg, steel wire cost C steel wirefor:
C steel wire=m steel wirep steel wire=1.904 × 65=123.76 unit
The specific embodiment two
As shown in Figure 4, the flywheel rotor of present embodiment by the method for designing of carbon fiber enhancement resin base composite material is:
The density p of carbon fiber enhancement resin base composite material 4 2=1600kg/m 3.Calculate the external diameter of carbon fiber enhancement resin base composite material 4 according to formula (1):
Φ outer 2=2 (2J 1/ ρ 2h 1π+Φ 1 4/ 16) 1/4
=2×(2×0.0025/(1600×0.09×3.1415926)+0.06 4/16) 1/4=0.117m
Calculate weight, volume and the cost of carbon fiber enhancement resin base composite material 4 parts, obtain carbon fiber enhancement resin base composite material 4 weight according to formula (7) and be:
M carbon fiber=ρ π (Φ outer 2 2/ 4-Φ 1 2/ 4) H 1
=1600×3.14×(0.117 2/4-0.06 2/4)×0.09
=1.14kg
Carbon fiber enhancement resin base composite material 4 volumes are:
V carbon fiber=π (Φ outer 2 2/ 4-Φ 1 2/ 4) H 1
=3.14×(0.117 2/4-0.06 2/4)×0.09
=0.000713m 3
Carbon fiber enhancement resin base composite material 4 price P carbon fiberbe 300 yuan/kilogram~700 yuan/kilogram, getting average is 500 yuan/kg, carbon fiber enhancement resin base composite material 4 cost C carbon fiberfor:
C carbon fiber=m carbon fiberp carbon fiber=1.14 × 500=570 unit
Compare with carbon fiber enhancement resin base composite material, the volume of steel wire and cost relative value are:
V steel wire/ V carbon fiber=0.000244/0.000713=34%
C steel wire/ C carbon fiber=123.76/570=22%.

Claims (1)

1. a steel wire winding method for flywheel rotor for flywheel energy storage system, comprises flywheel hub and is wrapped in the steel wire in flywheel hub, it is characterized in that: winding method is realized by following steps:
Step 1: the polar moment of inertia index J that determines steel wire assembly 1, steel wire floor height H 1, innermost layer steel wire internal diameter Φ 1, steel wire is wrapped on wheel hub periphery in a spiral manner;
Step 2: select the sectional dimension of steel wire, section of steel wire is rectangle, and cross-sectional length is L 1, cross-sectional width is B 1, and obtain the density p of wire material 1, Poisson's ratio μ 1, elastic modulus E 1, steel wire allowable stress σ 1, steel wire and steel wire coefficient of friction f 1, steel wire and wheel hub coefficient of friction f 2, obtain the density p of wheel hub 2, Poisson's ratio μ 2, elastic modulus E 2;
Step 3: the external diameter Φ that calculates outermost layer steel wire outward, as formula (1):
Φ outward=2 (2J 1/ ρ H 1π+Φ 1 4/ 16) 1/4(1)
Step 4: calculate the number of turns N that steel wire assembly is wound around, as formula (2):
N=H 1/L 1 (2)
Step 5: calculate the number of plies M of steel wire winding, as formula (3):
M=(Φ 21)/B 1(3)
Step 6: the internal diameter Φ that calculates n layer steel wire n, as formula (4):
Φ n=Φ 1+(n-1)B 1(4)
Wherein n represents the sequence number of steel wire floor, counts outward from interior, and innermost layer is ground floor;
Step 7: the three-dimensional entity model of wheel hub is imported in common finite element analysis software Ansys, use the International System of Units;
Step 8: in Ansys software, set up the equivalent model of every layer of steel wire, equivalent model is thin cylinder shape, and wall thickness is B 1, the internal diameter Φ that barrel bore is this layer of steel wire n, be highly H 1;
Step 9: define the material properties of steel wire in Ansys software, comprise the density p of steel wire 1, Poisson's ratio μ 1, elastic modulus E 1, the density p of wheel hub 2, Poisson's ratio μ 2, elastic modulus E 2;
Step 10: to equivalent model partition grid, cell type is hexahedron 20 node unit SOLID186, unit size B 1;
Step 11: wheel hub grid is divided, and cell type is tetrahedron ten node unit SOLID187, and unit size is 2B 1;
Step 12: the equivalent model that innermost layer steel wire is set is right with contacting of wheel hub, osculating element type is plane-plane contact, coefficient of friction f 2, contact-making surface side-play amount is B 1/ 20;
Step 13: all the other M-1 the contacts between adjacent equivalent model are set right, osculating element type is plane-plane contact, coefficient of friction f 1, contact-making surface side-play amount is B 1/ 20;
Step 14: it is static(al) that definition solves type;
Step 15: definition constraints, the lower surface six-freedom degree of wheel hub retrains entirely, and wheel hub upper surface confinement ring is to the free degree;
Step 10 six: definition working speed, unit is radian per second;
Step 10 seven: model is submitted to solver, obtain model stress value after having calculated;
Step 10 eight: whether the maximum stress that checks steel wire is not more than allowable stress σ 1, as be false, change the steel wire that intensity is higher, return to step 2 and recalculate, as set up, carry out step 10 nine;
Step 10 nine: check the contact stress that each contact is right, if contact stress is in 10~20MPa, carry out step 2 ten, while being greater than 20MPa as contact stress, according to B 1/ 200 amplitude reduces this and contacts right contact-making surface side-play amount and recalculate, until touch stress in 10~20MPa, as contact stress is less than 10MPa, according to B 1/ 200 amplitude reduces this and contacts right contact-making surface side-play amount and recalculate, until touch stress in 10~20MPa;
Step 2 ten: according to the contact-making surface side-play amount of each equivalent model, the tension force F while calculating n layer steel wire winding n, as formula (5):
F n=2E 1L 1B 1δ nn (5)
Wherein F nbe n layer steel wire winding tension force, δ nit is the contact-making surface side-play amount of n layer.
CN201210560082.6A 2012-12-21 2012-12-21 A kind of steel wire winding method of flywheel energy storage system flywheel rotor Active CN103878270B (en)

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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109344424A (en) * 2018-08-10 2019-02-15 南京航空航天大学 Winding tension applying method in a kind of composite element finite element analysis model
US11383282B2 (en) 2017-03-23 2022-07-12 Robotic Research Opco, Llc System and method for enabling fused deposition metal 3D printing

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CN102230511A (en) * 2011-06-16 2011-11-02 深圳飞能能源有限公司 High-tensile steel wire flywheel
CN102678821A (en) * 2012-06-01 2012-09-19 北京奇峰聚能科技有限公司 Flywheel rotor hub adopting steel-wire prestressing force winding structure

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JPS53109569A (en) * 1977-03-07 1978-09-25 Matsura Kouji Production of fly wheel
CN101800450A (en) * 2010-03-08 2010-08-11 苏州菲莱特能源科技有限公司 Flywheel wound with multiple mixed materials
CN102230511A (en) * 2011-06-16 2011-11-02 深圳飞能能源有限公司 High-tensile steel wire flywheel
CN102678821A (en) * 2012-06-01 2012-09-19 北京奇峰聚能科技有限公司 Flywheel rotor hub adopting steel-wire prestressing force winding structure

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Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US11383282B2 (en) 2017-03-23 2022-07-12 Robotic Research Opco, Llc System and method for enabling fused deposition metal 3D printing
CN109344424A (en) * 2018-08-10 2019-02-15 南京航空航天大学 Winding tension applying method in a kind of composite element finite element analysis model
CN109344424B (en) * 2018-08-10 2023-04-18 南京航空航天大学 Winding tension applying method in composite material component finite element analysis model

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