Ge et al 2022b - Revision history

Rimni at 14:39, 2 December 2022

2022-12-02T14:39:38Z

Rimni at 14:37, 2 December 2022

2022-12-02T14:37:52Z

Rimni at 14:31, 2 December 2022

2022-12-02T14:31:36Z

Rimni at 14:28, 2 December 2022

2022-12-02T14:28:44Z

Rimni at 15:12, 30 November 2022

2022-11-30T15:12:49Z

Rimni: /* References */

2022-11-30T14:44:42Z

‎References

Rimni at 14:42, 30 November 2022

2022-11-30T14:42:40Z

Rimni: /* 6. Conclusion */

2022-11-30T13:48:58Z

‎6. Conclusion

Rimni at 13:48, 30 November 2022

2022-11-30T13:48:33Z

Rimni at 13:43, 30 November 2022

2022-11-30T13:43:01Z

@@ Line 529: / Line 529: @@
 |-
 |  style="text-align: center;"|<math display="inline">h_2^'</math>
-|  style="text-align: left;" |The Axial Length of the High-speed Permanent Magnet
+|  style="text-align: left;" |The axial length of the high-speed permanent magnet
 |  style="text-align: center;"|8(mm)
 |-
 |  style="text-align: center;"|<math display="inline">h_4^'</math>
-|  style="text-align: left;" | The Axial Length of the Low-speed Permanent Magnet
+|  style="text-align: left;" | The axial length of the low-speed permanent magnet
 |  style="text-align: center;"|8(mm)
 |-

@@ Line 250: / Line 250: @@
 |-style="text-align:center"
 |  <math display="inline">p_h</math>
-|  style="text-align: left;"|High-speed Permanent Magnet Magnetic Pole Logarithmic
+|  style="text-align: left;"|High-speed permanent magnet magnetic pole logarithmic
 |  4
 |  4
 |-style="text-align:center"
 |  <math display="inline">p_l</math>
-|  style="text-align: left;"| Low-speed Permanent Magnet Magnetic Pole Logarithmic
+|  style="text-align: left;"| Low-speed permanent magnet magnetic pole logarithmic
 |  19
 |  19
 |-style="text-align:center"
 |  <math display="inline">n_m</math>
-|  style="text-align: left;"|Internal Number of Blocks
+|  style="text-align: left;"|Internal number of blocks
 |  23
 |  23
 |-style="text-align:center"
 |  <math display="inline">n_s</math>
-|  style="text-align: left;"|External Number of Blocks
+|  style="text-align: left;"|External number of blocks
 |  23
 |  －
 |-style="text-align:center"
 |  <math display="inline">r_2</math>
-|  style="text-align: left;"|The Outer Radius of the Rotor
+|  style="text-align: left;"|The outer radius of the rotor
 |  105(mm)
 |  105(mm)
 |-style="text-align:center"
 |  <math display="inline">r_1</math>
-|  style="text-align: left;"|The Inner Radius of the Rotor
+|  style="text-align: left;"|The inner radius of the rotor
 |  50(mm)
 |  50(mm)
 |-style="text-align:center"
 |  <math display="inline">h_0</math>
-|  style="text-align: left;"|The Air Gap Length of the Magnetic Loop
+|  style="text-align: left;"|The air gap length of the magnetic loop
 |  1(mm)
 |  1(mm)
 |-style="text-align:center"
 |  <math display="inline">h_1</math>
-|  style="text-align: left;"|The Rotor Yoke Iron Axial Length
+|  style="text-align: left;"|The rotor yoke iron axial length
 |  10(mm)
 |  10(mm)
 |-style="text-align:center"
 |  <math display="inline">h_2</math>
-|  style="text-align: left;"|The Axial Length of the High-speed Permanent Magnet
+|  style="text-align: left;"|The axial length of the high-speed permanent magnet
 |  7(mm)
 |  7(mm)
 |-style="text-align:center"
 |  <math display="inline">h_3</math>
-|  style="text-align: left;"|Axial Length of Internal tuning magnetic ring
+|  style="text-align: left;"|Axial length of internal tuning magnetic ring
 |  6(mm)
 |  6(mm)
 |-style="text-align:center"
 |  <math display="inline">h_4</math>
-|  style="text-align: left;"|The Axial Length of the Low-speed Permanent Magnet
+|  style="text-align: left;"|The axial length of the low-speed permanent magnet
 |  6(mm)
 |  6(mm)
 |-style="text-align:center"
 |  <math display="inline">h_5</math>
-|  style="text-align: left;"|Axial Length of External Tuning Magnetic Ring
+|  style="text-align: left;"|Axial length of external tuning magnetic ring
 |  6(mm)
 |  －
 |-style="text-align:center"
 |  <math display="inline">h_6</math>
-|  style="text-align: left;"|The Axial Length of the Yoke of the External Tuning Magnetic Ring
+|  style="text-align: left;"|The axial length of the yoke of the external tuning magnetic ring
 |  10(mm)
 |  －
@@ Line 320: / Line 320: @@
 |-style="text-align:center"
 |  <math display="inline">L</math>
-|  style="text-align: left;"|Total Axial Length
+|  style="text-align: left;"|Total axial length
 |  48(mm)
 |  41(mm)

@@ Line 233: / Line 233: @@
 |}
-where <math>r_2</math> and <math>r_1</math> are the outer radius and the inner half meridian of the rotor, respectively; <math>{\mu }_0</math> is the vacuum magnetic conductivity; and <math>k</math> is the number of harmonics.
+where <math>r_2</math> and <math>r_1</math> are the outer radius and the inner half meridian of the rotor, respectively, <math>{\mu }_0</math> is the vacuum magnetic conductivity, and <math>k</math> is the number of harmonics.
 In Eq.(13), <math>T_k</math> is related to <math>B_z^k\left(r,z,\theta \right)</math>, <math>B_{\theta }^k\left(r,z,\theta \right)</math> and <math>\cos\left({{\varphi }^k}_z- {{\varphi }^k}_{\theta }\right) </math>; the electromagnetic torque <math>T_k</math> increases because the introduction of the external tuning magnetic ring can be effectively improved <math>B_z^k\left(r,z,\theta \right)</math>.

@@ Line 134: / Line 134: @@
 |}
-In Eqs.(5) and (6), <math display="inline"> r </math>, <math display="inline"> z </math> and <math display="inline"> \theta </math> represent three variables, respectively, <math display="inline"> r </math> represents the air gap magnetic density at different radii, <math display="inline"> z </math> represents the air gap magnetic density at different axial lengths, and <math display="inline"> \theta </math> represents the air gap magnetic density at different tangential lengths, and where <math>b_z^i</math> and <math>b_{\theta }^i</math> are the Fourier coefficient; <math display="inline"> i </math> is harmonic number; <math display="inline"> p </math> is magnetic pole logarithm of the permanent magnet; <math>{\omega }_1</math> is the rotation angular velocity of the permanent magnet; and <math>{\varphi }_{z1,0}</math> and <math>{\varphi }_{\theta 1,0}</math> are the axial and tangential initial phase angles of the permanent magnet rotor, respectively.
+In Eqs.(5) and (6), <math display="inline"> r </math>, <math display="inline"> z </math> and <math display="inline"> \theta </math> represent three variables, respectively, <math display="inline"> r </math> represents the air gap magnetic density at different radii, <math display="inline"> z </math> represents the air gap magnetic density at different axial lengths, and <math display="inline"> \theta </math> represents the air gap magnetic density at different tangential lengths, and where <math>b_z^i</math> and <math>b_{\theta }^i</math> are the Fourier coefficient; <math display="inline"> i </math> is harmonic number; <math display="inline"> p </math> is magnetic pole logarithm of the permanent magnet; <math>{\omega }_1</math> is the rotation angular velocity of the permanent magnet, and <math>{\varphi }_{z1,0}</math> and <math>{\varphi }_{\theta 1,0}</math> are the axial and tangential initial phase angles of the permanent magnet rotor, respectively.
 With the magnetic modulation ring, the air gap magnetic density changes at the high-speed side and at the low-speed side, and the axial and tangential air gap magnetic flux distribution functions are, respectively:

@@ Line 30: / Line 30: @@
 {| style="text-align: center; border: 1px solid #BBB; margin: 1em auto; width: auto;max-width: auto;"
 |-
-|style="padding:10px;"| [[Image:Draft_Wang_148112157-image1-c.jpeg|336px]]
+|style="padding:10px;"| [[Image:Draft_Wang_148112157-image1-c.jpeg|350px]]
 |- style="text-align: center; font-size: 75%;"
 | colspan="1" style="padding:10px;"| '''Figure 1'''. Mechanical structure of APMG
@@ Line 45: / Line 45: @@
 {| style="text-align: center; border: 1px solid #BBB; margin: 1em auto; width: auto;max-width: auto;"
 |-
-|style="padding:10px;"|  [[Image:Draft_Wang_148112157-image2-c.jpeg|342px]]
+|style="padding:10px;"|  [[Image:Draft_Wang_148112157-image2-c.jpeg|360px]]
 |- style="text-align: center; font-size: 75%;"
 | colspan="1" style="padding:10px;"| '''Figure 2'''. Mechanical structure of DEM-APMG

← Older revision		Revision as of 14:44, 30 November 2022
Line 575:		Line 575:
	[9] Darabi A., Abolghasemi M., Mirzahosseini R., Sarvi-Maraghi M. Transient analysis of an axial flux magnetic gear. 2020 28th Iranian Conference on Electrical Engineering (ICEE), 1-5, 2020.		[9] Darabi A., Abolghasemi M., Mirzahosseini R., Sarvi-Maraghi M. Transient analysis of an axial flux magnetic gear. 2020 28th Iranian Conference on Electrical Engineering (ICEE), 1-5, 2020.

−	[10] Kouhshahi M.B, Acharya V.M., Calvin M., ~~et al~~. Designing and experimentally testing a flux-focusing axial flux magnetic gear for an ocean generator application. IET Electric Power Applications, 13(8):1212-1218, 2019.	+	[10] Kouhshahi M.B, Acharya V.M., Calvin M., Bird J.Z., Williams W. Designing and experimentally testing a flux-focusing axial flux magnetic gear for an ocean generator application. IET Electric Power Applications, 13(8):1212-1218, 2019.

@@ Line 555: / Line 555: @@
 ==References==
-[1]  Atallah K, Howe, et al. A Novel High-Performance Magnetic Gear. IEEE Transactions on Magnetics, 37(4):2844-2844, 2001.
+[1]  Atallah K., Howe D. A novel high-performance magnetic gear. IEEE Transactions on Magnetics, 37(4):2844-2844, 2001.
-[2]  Mezani S, Atallah K, Howe D. A high-performance axial-field magnetic gear. Journal of applied physics, 99(8): 83-88, 2006.
+[2]  Mezani S., Atallah K., Howe D. A high-performance axial-field magnetic gear. Journal of Applied Physics, 99(8):83-88, 2006.
-[3]  Gardner M C, Jack B E, Johnson M, et al. Comparison of surface mounted permanent magnet coaxial radial flux magnetic gears independently optimized for volume, cost, and mass. IEEE Transactions on Industry Applications, 54(3): 2237-2245,2018.
+[3]  Gardner M.C., Jack B.E., Johnson M., Toliyat H.A. Comparison of surface mounted permanent magnet coaxial radial flux magnetic gears independently optimized for volume, cost, and mass. IEEE Transactions on Industry Applications, 54(3):2237-2245, 2018.
-[4]  M. Johnson, A. Shapoury, P. Boghrat, M. Post and H. A. Toliyat, Analysis and development of an axial f-lux magnetic gear, 2014 IEEE Energy Conversion Con-gress and Exposition (ECCE), 5893-5900,2014.
+[4]  Johnson M.,  Shapoury A.,  Boghrat P., Post M., Toliyat H.A. Analysis and development of an axial flux magnetic gear. 2014 IEEE Energy Conversion Congress and Exposition (ECCE), 5893-5900, 2014.
-[5]  Tsai M C, Ku L H. 3D printing-based design of axial flux magnetic gear for high torque density. IEEE transactions on magnetics, 51(11): 1-4,2015.
+[5]  Tsai M.C., Ku L.H. 3D printing-based design of axial flux magnetic gear for high torque density. IEEE Transactions on Magnetics, 51(11):1-4, 2015.
-[6]  Afsari Kashani S A. Optimal Design and Analysis of a Novel Reluctance Axial Flux Magnetic Gear. Scientia Iranica, 2020.
+[6]  Afsari Kashani S.A. Optimal design and analysis of a novel reluctance axial flux magnetic gear. Scientia Iranica, 29(3):1573-1580, 2022.
-[7]  Ge Y J, Nie C Y, Xin Q. A Three Dimensional Analytical Calculation of the Air-Gap Magnetic Field and Torque of Coaxial Magnetic Gears.131(2012):391-407,2012.
+[7]  Ge Y.J., Nie C.Y., Xin Q. A three dimensional analytical calculation of the air-gap magnetic field and torque of coaxial magnetic gears. Progress in Electromagnetics Research, 131:391-407, 2012.
-[8]  Sepaseh J, Rostami N, Feyzi M R. An Axial Magnetic Gear With Improved Torque Density and Reduced Cogging Torque[J]. Iranian Journal of Electrical and Electronic Engineering, 17(4): 2043-2043,2021.
+[8]  Sepaseh J., Rostami N., Feyzi M.R. An axial magnetic gear with improved torque density and reduced cogging torque. Iranian Journal of Electrical and Electronic Engineering, 17(4):2043-2043, 2021.
-[9] Darabi A, Abolghasemi M, Mirzahosseini R, et al.Transient Analysis of an Axial Flux Magnetic Gear[C]//2020 28th Iranian Conference on Electrical Engineering (ICEE), 1-5,2020.
+[9] Darabi A., Abolghasemi M., Mirzahosseini R., Sarvi-Maraghi M. Transient analysis of an axial flux magnetic gear. 2020 28th Iranian Conference on Electrical Engineering (ICEE), 1-5, 2020.
-[10] Kouhshahi M B, Acharya V M, Calvin M, et al. Designing and experimentally testing a flux-focusing axial flux magnetic gear for an ocean generator application[J]. IET Electric Power Applications, 13(8): 1212-1218,2019.
+[10] Kouhshahi M.B, Acharya V.M., Calvin M., et al. Designing and experimentally testing a flux-focusing axial flux magnetic gear for an ocean generator application. IET Electric Power Applications, 13(8):1212-1218, 2019.

@@ Line 544: / Line 544: @@
 Based on the structural parameters shown in [[#tab-1|Tables 1]] and [[#tab-2|2]], the optimized 3D DEM-APMG in the Ansoft environment has a torque density of 156kNm/m<sup>3</sup>, which is an approximately 16% improvement over the preoptimized DEM-APMG.
-==6. Conclusion ==
+==6. Conclusions ==
-:: An APMG is composed of a high-speed rotor, a low-speed rotor and a magnetic modulation ring. Although the mechanical structure is simple, its axial magnetic resistance and leakage magnetic flux are both large, resulting in a low utilization rate of the permanent magnet and a low maximum output torque and torque density.
+(1) An APMG is composed of a high-speed rotor, a low-speed rotor and a magnetic modulation ring. Although the mechanical structure is simple, its axial magnetic resistance and leakage magnetic flux are both large, resulting in a low utilization rate of the permanent magnet and a low maximum output torque and torque density.
 (2) The DEM-APMG introduces an external magnetic ring based on the APMG structure, which causes the internal and external magnetic rings to exhibit bidirectional excitation and bidirectional modulation to reduce the axial magnetic resistance and axial magnetic leakage of the low-speed rotor. This structure also converts the APMG into useful harmonics and also on the low-speed rotor, thus increasing the output torque and torque density of the DEM-APMG.

@@ Line 546: / Line 546: @@
 ==6. Conclusion ==
-(1)An APMG is composed of a high-speed rotor, a low-speed rotor and a magnetic modulation ring. Although the mechanical structure is simple, its axial magnetic resistance and leakage magnetic flux are both large, resulting in a low utilization rate of the permanent magnet and a low maximum output torque and torque density.
+:: An APMG is composed of a high-speed rotor, a low-speed rotor and a magnetic modulation ring. Although the mechanical structure is simple, its axial magnetic resistance and leakage magnetic flux are both large, resulting in a low utilization rate of the permanent magnet and a low maximum output torque and torque density.
-(2)The DEM-APMG introduces an external magnetic ring based on the APMG structure, which causes the internal and external magnetic rings to exhibit bidirectional excitation and bidirectional modulation to reduce the axial magnetic resistance and axial magnetic leakage of the low-speed rotor. This structure also converts the APMG into useful harmonics and also on the low-speed rotor, thus increasing the output torque and torque density of the DEM-APMG.
+(2) The DEM-APMG introduces an external magnetic ring based on the APMG structure, which causes the internal and external magnetic rings to exhibit bidirectional excitation and bidirectional modulation to reduce the axial magnetic resistance and axial magnetic leakage of the low-speed rotor. This structure also converts the APMG into useful harmonics and also on the low-speed rotor, thus increasing the output torque and torque density of the DEM-APMG.
-(3)The maximum static torque of DEM-APMG at the same external diameter increased by 22.7% and 23.8% compared with APMG and 26% and 29% at steady-state operation, while the torque density increased by 24%.
+(3) The maximum static torque of DEM-APMG at the same external diameter increased by 22.7% and 23.8% compared with APMG and 26% and 29% at steady-state operation, while the torque density increased by 24%.
-(4)3D finite element analysis shows that the structural parameters with the greatest impact on DEM-APMG torque density are the axial length of the block duty cycle and high-speed and low-speed permanent magnets. When the axial length of the high-speed and low-speed permanent magnets is 8mm and the duty cycle is 0.4, the DEM-APMG torque density reaches 156kNm/m<sup>3</sup>.
+(4) 3D finite element analysis shows that the structural parameters with the greatest impact on DEM-APMG torque density are the axial length of the block duty cycle and high-speed and low-speed permanent magnets. When the axial length of the high-speed and low-speed permanent magnets is 8mm and the duty cycle is 0.4, the DEM-APMG torque density reaches 156kNm/m<sup>3</sup>.
 ==References==

@@ Line 508: / Line 508: @@
 {| style="text-align: center; border: 1px solid #BBB; margin: 1em auto; width: auto;max-width: auto;"
 |-
-|style="padding:10px;"|  [[Image:Draft_Wang_148112157-image30-c.png|264px]]
+|style="padding:10px;"|  [[Image:Draft_Wang_148112157-image30-c.png|320px]]
 |- style="text-align: center; font-size: 75%;"
 | colspan="1" style="padding:10px;"| '''Figure 12'''. Effect curve of the tuning block duty cycle on torque density