Wang et al 2023d - Revision history

Rimni at 12:44, 15 February 2024

2024-02-15T12:44:52Z

Rimni at 12:44, 15 February 2024

2024-02-15T12:44:37Z

Rimni at 12:44, 15 February 2024

2024-02-15T12:44:16Z

Rimni at 12:43, 15 February 2024

2024-02-15T12:43:47Z

Rimni: /* References */

2024-02-15T12:42:18Z

‎References

Rimni at 12:40, 15 February 2024

2024-02-15T12:40:16Z

Rimni at 15:32, 12 February 2024

2024-02-12T15:32:03Z

Rimni at 15:17, 12 February 2024

2024-02-12T15:17:21Z

Rimni at 15:16, 12 February 2024

2024-02-12T15:16:39Z

Rimni at 15:11, 12 February 2024

2024-02-12T15:11:25Z

@@ Line 432: / Line 432: @@
 |}
-==5. Conclusion==
+==5. Conclusions==
 (1) This article introduces an enhanced Halbach Array Field Modulated Permanent Magnetic Gear (HFMPMG). Its outer magnet is designed with a dual-layer permanent magnet configuration, where the first layer adopts a Halbach array, and the other layer utilizes a conventional radial magnetization structure.

@@ Line 394: / Line 394: @@
 |+
 |-
-|style="text-align: center;padding:10px;"| [[File:Draft_Wang_788937672_2288_fig9a.jpg|396px|Dynamic torque curve]]
+|style="text-align: center;padding:10px;"| [[File:Draft_Wang_788937672_2288_fig9a.jpg|346px|Dynamic torque curve]]
-|style="text-align: center;padding:10px;"| [[File:Review_709873399836_1843_fig9-b.jpg|396px|Static torque curve]]
+|style="text-align: center;padding:10px;"| [[File:Review_709873399836_1843_fig9-b.jpg|346px|Static torque curve]]
 |-
 |style="text-align: center;font-size: 75%;padding-bottom:10px;"|(a) Dynamic torque curve
@@ Line 403: / Line 403: @@
 | style="background:#efefef;text-align:left;padding:10px;font-size: 85%;"| '''Figure 9'''. Torque characteristics
 |}
 ===4.3 Torque density===

@@ Line 327: / Line 327: @@
 |+
 |-
-|style="text-align: center;padding:10px;"| [[Image:Draft_Wang_788937672-image36.png|330px|FMPMG]]
+|style="text-align: center;padding:10px;"| [[Image:Draft_Wang_788937672-image36.png|290px|FMPMG]]
-|style="text-align: center;padding:10px;"| [[Image:Draft_Wang_788937672-image37.png|330px|HFMPMG]]
+|style="text-align: center;padding:10px;"| [[Image:Draft_Wang_788937672-image37.png|290px|HFMPMG]]
 |-
 |style="text-align: center;font-size: 75%;padding-bottom:10px;"|(a) FMPMG

@@ Line 349: / Line 349: @@
 |+
 |-
-|style="text-align: center;padding:10px;"| [[File:Draft_Wang_788937672_1281_fig7a.jpg|396px|Radial component]]
+|style="text-align: center;padding:10px;"| [[File:Draft_Wang_788937672_1281_fig7a.jpg|346px|Radial component]]
-|style="text-align: center;padding:10px;"| [[File:Draft_Wang_788937672_8064_fig7b.jpg|396px|Tangential component]]
+|style="text-align: center;padding:10px;"| [[File:Draft_Wang_788937672_8064_fig7b.jpg|346px|Tangential component]]
 |-
 |style="text-align: center;font-size: 75%;padding-bottom:10px;"|(a) Radial component
@@ Line 369: / Line 369: @@
 |+
 |-
-|style="text-align: center;padding:10px;"| [[File:Draft_Wang_788937672_4790_fig8a.jpg|396px|Radial component]]
+|style="text-align: center;padding:10px;"| [[File:Draft_Wang_788937672_4790_fig8a.jpg|346px|Radial component]]
-|style="text-align: center;padding:10px;"| [[File:Draft_Wang_788937672_5037_fig8b.jpg|396px|Tangential component]]
+|style="text-align: center;padding:10px;"| [[File:Draft_Wang_788937672_5037_fig8b.jpg|346px|Tangential component]]
 |-
 |style="text-align: center;font-size: 75%;padding-bottom:10px;"|(a) Radial component
@@ Line 378: / Line 378: @@
 | style="background:#efefef;text-align:left;padding:10px;font-size: 85%;"| '''Figure 8'''. Harmonic spectra of flux density in outer air gap
 |}
 ===4.2 Torque characteristics===

@@ Line 452: / Line 452: @@
 [1] Kjaer A.B., Korsgaard S., Nielsen S.S., et al. Design, fabrication, test, and benchmark of a magnetically geared permanent magnet generator for wind power generation. IEEE Transactions on Energy Conversion, 35(1):24-32, 2019.
-[2]Roga S., Bardhan S., Kumar Y., et al. Recent technology and challenges of wind energy generation: A review. Sustainable Energy Technologies, 52, 102239, 2022.
+[2] Roga S., Bardhan S., Kumar Y., et al. Recent technology and challenges of wind energy generation: A review. Sustainable Energy Technologies, 52, 102239, 2022.
 [3] Ruiz-Ponce G., Arjona M.A., Hernandez C., et al. A Review of magnetic gear technologies used in mechanical power transmission. Energies, 16(4), 1721, 2023.

@@ Line 448: / Line 448: @@
 ==References==
-[1]KJAER A B, KORSGAARD S, NIELSEN S S, et al. Design, fabrication, test, and benchmark of a magnetically geared permanent magnet generator for wind power generation [J]. IEEE Transactions on Energy Conversion, 2019, 35(1) : 24-32.
+<div class="auto" style="text-align: left;width: auto; margin-left: auto; margin-right: auto;font-size: 85%;">
-[2]ROGA S, BARDHAN S, KUMAR Y, et al. Recent technology and challenges of wind energy generation: A review [J]. Sustainable Energy Technologies, 2022, 52: 102239.
+[1] Kjaer A.B., Korsgaard S., Nielsen S.S., et al. Design, fabrication, test, and benchmark of a magnetically geared permanent magnet generator for wind power generation. IEEE Transactions on Energy Conversion, 35(1):24-32, 2019.
-[3]RUIZ-PONCE G, ARJONA M A, HERNANDEZ C, et al. A Review of Magnetic Gear Technologies Used in Mechanical Power Transmission [J]. 2023, 16(4) : 1721.
+[2]Roga S., Bardhan S., Kumar Y., et al. Recent technology and challenges of wind energy generation: A review. Sustainable Energy Technologies, 52, 102239, 2022.
-[4]PADINHARU D K K, LI G-J, ZHU Z-Q, et al. Permanent magnet vernier machines for direct-drive offshore wind power: Benefits and Challenges [J]. IEEE Access, 2022, 10: 20652-68.
+[3] Ruiz-Ponce G., Arjona M.A., Hernandez C., et al. A Review of magnetic gear technologies used in mechanical power transmission. Energies, 16(4), 1721, 2023.
-[5]ATALLAH K, HOWE D. A novel high-performance magnetic gear [J]. IEEE Transactions on Magnetics, 2001, 37(4) : 2844-6.
+[4] Padinharu D.K.K., Li G.-J., Zhu Z.-Q., et al. Permanent magnet vernier machines for direct-drive offshore wind power: Benefits and Challenges. IEEE Access, 10:20652-68, 2022.
-[6]YANJUN G, ZHI Y, PENG Z. Modeling and Analysis on Starting Characteristics of CPMGs [J]. CHINA MECHANICAL ENGINEERING, 2018, 29(13) : 1513.
+[5] Atallah K., Howe D. A novel high-performance magnetic gear. IEEE Transactions on Magnetics, 37(4):2844-6, 2001.
-[7]JING L, GONG J, HUANG Z, et al. A new structure for the magnetic gear [J]. IEEE Access, 2019, 7: 75550-5.
+[6] Yanjun G., Zhi Y., Peng Z. Modeling and analysis on starting characteristics of CPMGs. China Mechanical Engineering,  29(13):1513, 2018.
-[8]Gouda E A. A New Design of Magnetic Gear for Wind Turbine[J]. MEJ. Mansoura Engineering Journal, 2020, 39(1): 1-6.
+[7] Jing L., Gong J., Huang Z., et al. A new structure for the magnetic gear. IEEE Access, 7:75550-75555, 2019.
-[9]MAFI H, AFJEI E, GHAHERI A. Design of coaxial magnetic gear utilising a novel permanent magnet Halbach array structure [J]. IET Electric Power Applications, 2021, 15(3) : 299-309.
+[8] Gouda E.A. A new design of magnetic gear for wind turbine. MEJ Mansoura Engineering Journal, 39(1):1-6, 2020.
-[10]SHIN H, CHANG J. Analytical magnetic field calculation of coaxial magnetic gear with flux concentrating rotor [J]. IEEE Transactions on Magnetics, 2015, 52(7) : 1-4.
+[9] Mafi H., Afjei E., Ghaheri A. Design of coaxial magnetic gear utilising a novel permanent magnet Halbach array structure. IET Electric Power Applications, 15(3):299-309, 2021.
-[11]CHEN M, CHAU K-T, LEE C H, et al. Design and analysis of a new axial-field magnetic variable gear using pole-changing permanent magnets [J]. Progress In Electromagnetics Research, 2015, 153: 23-32.
+[10] Shin H., Chang J. Analytical magnetic field calculation of coaxial magnetic gear with flux concentrating rotor. IEEE Transactions on Magnetics, 52(7):1-4, 2015.
-[12]LU Y, LUO S, WU S. Influence of Material Properties of Magnetic Adjusting Ring on the Loss of Magnetic Gear [J]. JOURNAL OF MECHANICAL ENGINEERING, 2023, 52(22) : 269-75.
+[11] Chen M., Chau K-.T., Lee C.H., et al. Design and analysis of a new axial-field magnetic variable gear using pole-changing permanent magnets. Progress in Electromagnetics Research, 153:23-32, 2015.
-[13]RUIZ-PONCE G, ARJONA M A, HERNANDEZ C, et al. Design Optimization of an Axial Flux Magnetic Gear by Using Reluctance Network Modeling and Genetic Algorithm [J]. Energies, 2023, 16(4) : 1852.
+[12] Lu Y., Luo S., Wu S. Influence of material properties of magnetic adjusting ring on the loss of magnetic gear. Journal of Mechanical Engineering, 52(22):269-75, 2023.
-[14]JING L, WANG T, PAN Y, et al. Optimization of dual-flux-modulator magnetic gear with HTS bulks and uneven segment based on GA [J]. IEEE Transactions on Applied Superconductivity, 2022, 32(6) : 1-5.
+[13] Ruiz-Ponce G., Arjona M.A., Hernandez C., et al. Design optimization of an axial flux magnetic gear by using reluctance network modeling and genetic algorithm. Energies, 16(4):1852, 2023.
-[15]GARDNER M C, PRASLICKA B, JOHNSON M, et al. Optimization of coaxial magnetic gear design and magnet material grade at different temperatures and gear ratios [J]. IEEE Transactions on Energy Conversion, 2021, 36(3) : 2493-501.
+[14] Jing L., Wang T., Pan Y., et al. Optimization of dual-flux-modulator magnetic gear with HTS bulks and uneven segment based on GA. IEEE Transactions on Applied Superconductivity, 32(6):1-5, 2022.
-[16]TAN C, JING L, LIU W, et al. A High Torque and Low Ripple Magnetic Gear with Embedded Permanent Magnet [J]. Journal of Electrical Engineering & Technology, 2023, 18(3) : 1799-807.
+[15] Gardner M.C., Praslicka B., Johnson M., et al. Optimization of coaxial magnetic gear design and magnet material grade at different temperatures and gear ratios. IEEE Transactions on Energy Conversion, 36(3):2493-501, 2021.
-[17]CHEN Y, ZHAO X, HO S, et al. Design and optimization of yokeless magnetic gear with asymmetric Halbach permanent magnet array for electric vehicle powertrain [J]. IET Renewable Power Generation, 2022, 16(11) : 2223-32.
+[16] Tan C., Jing L., Liu W., et al. A high torque and low ripple magnetic gear with embedded permanent magnet. Journal of Electrical Engineering & Technology, 18(3):1799-807, 2023.

@@ Line 49: / Line 49: @@
 where <math>m=1,3,5...j=0,\pm 1,\pm 2,\pm 3,...</math>, <math display="inline"> p </math> is the number of pole pairs for the inner or outer PMs, and <math display="inline"> n </math> is the number of modulators.
-If the magnetic pole pair number of the inner rotor permanent magnet in FMPMG is  <math>p_1</math> and the corresponding rotational speed is  <math display="inline">{\omega }_1</math>; the number of modulator is  <math>n_2</math>, and the corresponding rotational speed is  <math>{\omega }_2</math>; the magnetic pole pair number of the outer rotor permanent magnet is  <math>p_3</math>, and the corresponding rotational speed is  <math>{\omega }_3</math>, the harmonic magnetic field pole pair numbers in the air gap and the corresponding angular velocities of the harmonics are given by:
+If the magnetic pole pair number of the inner rotor permanent magnet in FMPMG is  <math>p_1</math> and the corresponding rotational speed is  <math display="inline">{\omega }_1</math>, the number of modulator is  <math>n_2</math>, and the corresponding rotational speed is  <math>{\omega }_2</math>, the magnetic pole pair number of the outer rotor permanent magnet is  <math>p_3</math>, and the corresponding rotational speed is  <math>{\omega }_3</math>, the harmonic magnetic field pole pair numbers in the air gap and the corresponding angular velocities of the harmonics are given by:
 {| class="formulaSCP" style="width: 100%; text-align: center;"
@@ Line 384: / Line 384: @@
 In accordance with Eq. (3) provided above, when the modulator remains stationary, the inner rotor and outer rotor exhibit motion in opposite directions in accordance with the ratio of their pole numbers. In the case of the HFMPMG, specific speeds are assigned to the inner and outer rotors, set at 170rpm and 40rpm, respectively. Employing finite element software simulation facilitates the derivation of stable torque output waveforms for both the inner and outer rotors.
-Examining [[#img-9|Figure 9]] (a), it is evident that both the FMPMG and HFMPMG demonstrate the capability to generate nearly linear torque waveforms during motion. However, following structural optimization and refinement, the output torque of the HFMPMG reaches 297N·m , surpassing the output torque of the FMPMG, which stands at 243N·m. This represents a notable increase of 22.22%. Similarly, as illustrated in [[#img-9|Figure 9]] (b), the static torque curves of both the FMPMG and HFMPMG exhibit sine characteristics consistent with a transmission ratio of 4.25. In summation, based on the insights derived from both figures, it becomes apparent that the performance of the HFMPMG outpaces that of the FMPMG.
+Examining [[#img-9|Figure 9]](a), it is evident that both the FMPMG and HFMPMG demonstrate the capability to generate nearly linear torque waveforms during motion. However, following structural optimization and refinement, the output torque of the HFMPMG reaches 297N·m , surpassing the output torque of the FMPMG, which stands at 243N·m. This represents a notable increase of 22.22%. Similarly, as illustrated in [[#img-9|Figure 9]](b), the static torque curves of both the FMPMG and HFMPMG exhibit sine characteristics consistent with a transmission ratio of 4.25. In summation, based on the insights derived from both figures, it becomes apparent that the performance of the HFMPMG outpaces that of the FMPMG.
 <div id='img-9b'></div>

@@ Line 253: / Line 253: @@
 |}
-Where <math>f(x)</math> is the predicted value of the outer torque or torque density,  <math>{\beta }_0</math> is a constant term,  <math>{\beta }_i</math> is the linear coefficient of the design variable;  <math>{\beta }_{ii}</math> is the quadratic coefficient of structural parameters, and <math>{\beta }_{ij}</math> is the product coefficient of different structural parameters. In addition, <math>x_i</math> and <math>x_j</math> are two different structural parameters, and   <math>\epsilon </math> is the statistical error.
+where <math>f(x)</math> is the predicted value of the outer torque or torque density,  <math>{\beta }_0</math> is a constant term,  <math>{\beta }_i</math> is the linear coefficient of the design variable,  <math>{\beta }_{ii}</math> is the quadratic coefficient of structural parameters, and <math>{\beta }_{ij}</math> is the product coefficient of different structural parameters. In addition, <math>x_i</math> and <math>x_j</math> are two different structural parameters, and   <math>\epsilon </math> is the statistical error.
 In accordance with Eq. (5), it can obtain the results of RSM, which offering a comprehensive depiction of the evolving relationship between the optimization objective and the chosen structural parameters. The outcomes are depicted in [[#img-5|Figure 5]]. From [[#img-5|Figure 5]](a), it can be seen that as the <math display="inline"> L2 </math> and <math display="inline"> L4 </math> decreases, the torque density also gradually decreases. The decrease in the thickness of the PMs can reduce the volume of HFMPMG, but due to the reduction of the magnetic field coupling strength at the air gap, it will greatly reduce the torque density of HFMPMG. From [[#img-5|Figure 5]](b), it can be seen that when the thickness of the modulator is constant and the modulator fill factor  <math display="inline">\lambda </math> is around 0.5, the torque density also reaches its maximum. When  <math display="inline">\lambda </math> increases or decreases, the torque density decreases. Because when  <math display="inline">\lambda </math> decreases, the magnetic circuit saturates, the magnetic density of the inner and outer air gaps decreases, and the modulator is not significant. However, as  <math display="inline">\lambda </math> increases, the air gap magnetic density gradually increases. When  <math display="inline">\lambda </math> is too large, a large amount of magnetic leakage will lead to a decrease in the performance of HFMPMG. Similarly, when  <math display="inline">\lambda </math> is fixed, the torque density increases as <math display="inline"> L3 </math> decreases. From this, it can be seen that the modulation effect of the modulator in the entire HFMPMG is very obvious. After obtaining the appropriate response surface, the MOGA algorithm was selected for intelligent optimization to determine the final optimization value with high sensitivity, as shown in [[#tab-4|Table 4]].

← Older revision		Revision as of 15:16, 12 February 2024
Line 162:		Line 162:


−	The main optimization parameters of HFMPMG are illustrated in [[#img-4\|Figure 4]] <math display="inline">Ri </math> is the inner radius of inner yoke iron, <math display="inline"> L1 </math> is the thickness of inner rotor core, <math display="inline"> L2 </math> is the thickness of inner PMs, <math display="inline"> L3 </math> is the thickness of modulator, <math display="inline"> L4 </math> is the thickness of outer PMs, <math display="inline"> L5 </math> is the thickness of outer rotor core. <math display="inline">\alpha </math> is the central angle corresponding to the modulator, and <math display="inline">\beta </math> is the central angle corresponding to the nonmagnetic epoxy resin. The modulator fill factor <math display="inline">\lambda </math> represents the proportion of the angle occupied by the magnetic silicon steel block and nonmagnetic epoxy resin in the modulator. It can be expressed as:	+	The main optimization parameters of HFMPMG are illustrated in [[#img-4\|Figure 4]]. <math display="inline">Ri </math> is the inner radius of inner yoke iron, <math display="inline"> L1 </math> is the thickness of inner rotor core, <math display="inline"> L2 </math> is the thickness of inner PMs, <math display="inline"> L3 </math> is the thickness of modulator, <math display="inline"> L4 </math> is the thickness of outer PMs, <math display="inline"> L5 </math> is the thickness of outer rotor core. <math display="inline">\alpha </math> is the central angle corresponding to the modulator, and <math display="inline">\beta </math> is the central angle corresponding to the nonmagnetic epoxy resin. The modulator fill factor <math display="inline">\lambda </math> represents the proportion of the angle occupied by the magnetic silicon steel block and nonmagnetic epoxy resin in the modulator. It can be expressed as:

	{\| class="formulaSCP" style="width: 100%; text-align: center;"		{\| class="formulaSCP" style="width: 100%; text-align: center;"

@@ Line 255: / Line 255: @@
 Where <math>f(x)</math> is the predicted value of the outer torque or torque density,  <math>{\beta }_0</math> is a constant term,  <math>{\beta }_i</math> is the linear coefficient of the design variable;  <math>{\beta }_{ii}</math> is the quadratic coefficient of structural parameters, and <math>{\beta }_{ij}</math> is the product coefficient of different structural parameters. In addition, <math>x_i</math> and <math>x_j</math> are two different structural parameters, and   <math>\epsilon </math> is the statistical error.
-In accordance with formula (5), it can obtain the results of RSM, which offering a comprehensive depiction of the evolving relationship between the optimization objective and the chosen structural parameters. The outcomes are depicted in [[#img-5|Figure 5]]. From [[#img-5|Figure 5]](a), it can be seen that as the <math display="inline"> L2 </math> and <math display="inline"> L4 </math> decreases, the torque density also gradually decreases. The decrease in the thickness of the PMs can reduce the volume of HFMPMG, but due to the reduction of the magnetic field coupling strength at the air gap, it will greatly reduce the torque density of HFMPMG. From [[#img-5|Figure 5]](b), it can be seen that when the thickness of the modulator is constant and the modulator fill factor  <math display="inline">\lambda </math> is around 0.5, the torque density also reaches its maximum. When  <math display="inline">\lambda </math> increases or decreases, the torque density decreases. Because when  <math display="inline">\lambda </math> decreases, the magnetic circuit saturates, the magnetic density of the inner and outer air gaps decreases, and the modulator is not significant. However, as  <math display="inline">\lambda </math> increases, the air gap magnetic density gradually increases. When  <math display="inline">\lambda </math> is too large, a large amount of magnetic leakage will lead to a decrease in the performance of HFMPMG. Similarly, when  <math display="inline">\lambda </math> is fixed, the torque density increases as <math display="inline"> L3 </math> decreases. From this, it can be seen that the modulation effect of the modulator in the entire HFMPMG is very obvious. After obtaining the appropriate response surface, the MOGA algorithm was selected for intelligent optimization to determine the final optimization value with high sensitivity, as shown in [[#tab-4|Table 4]].
+In accordance with Eq. (5), it can obtain the results of RSM, which offering a comprehensive depiction of the evolving relationship between the optimization objective and the chosen structural parameters. The outcomes are depicted in [[#img-5|Figure 5]]. From [[#img-5|Figure 5]](a), it can be seen that as the <math display="inline"> L2 </math> and <math display="inline"> L4 </math> decreases, the torque density also gradually decreases. The decrease in the thickness of the PMs can reduce the volume of HFMPMG, but due to the reduction of the magnetic field coupling strength at the air gap, it will greatly reduce the torque density of HFMPMG. From [[#img-5|Figure 5]](b), it can be seen that when the thickness of the modulator is constant and the modulator fill factor  <math display="inline">\lambda </math> is around 0.5, the torque density also reaches its maximum. When  <math display="inline">\lambda </math> increases or decreases, the torque density decreases. Because when  <math display="inline">\lambda </math> decreases, the magnetic circuit saturates, the magnetic density of the inner and outer air gaps decreases, and the modulator is not significant. However, as  <math display="inline">\lambda </math> increases, the air gap magnetic density gradually increases. When  <math display="inline">\lambda </math> is too large, a large amount of magnetic leakage will lead to a decrease in the performance of HFMPMG. Similarly, when  <math display="inline">\lambda </math> is fixed, the torque density increases as <math display="inline"> L3 </math> decreases. From this, it can be seen that the modulation effect of the modulator in the entire HFMPMG is very obvious. After obtaining the appropriate response surface, the MOGA algorithm was selected for intelligent optimization to determine the final optimization value with high sensitivity, as shown in [[#tab-4|Table 4]].
 <div id='img-5a'></div>
@@ Line 415: / Line 415: @@
 {| class="wikitable" style="margin: 1em auto 0.1em auto;border-collapse: collapse;font-size:85%;width:auto;"
 |-style="text-align:center"
-! Parameter !! HFMPMG !! FMPMG
+! style="text-align: left;"| Parameter !! HFMPMG !! FMPMG
 |-
-|  style="text-align: center;"|Magnetic gear volume (<math>\mbox{L}^3</math>)
+|  style="text-align: left;"|Magnetic gear volume (<math>\mbox{L}^3</math>)
 |  style="text-align: center;"|1.879
 |  style="text-align: center;"|1.961
 |-
-|  style="text-align: center;"|Magnets Weight (kg)
+|  style="text-align: left;"|Magnets Weight (kg)
 |  style="text-align: center;"|4.01
 |  style="text-align: center;"|4.24
 |-
-|  style="text-align: center;"|Outer torque (N.m)
+|  style="text-align: left;"|Outer torque (N.m)
 |  style="text-align: center;"|297
 |  style="text-align: center;"|243
 |-
-|  style="text-align: center;"|Torque density (<math>\mbox{N}\cdot m{\mbox{/L}}^3</math>)
+|  style="text-align: left;"|Torque density (<math>\mbox{N}\cdot m{\mbox{/L}}^3</math>)
 |  style="text-align: center;"|158
 |  style="text-align: center;"|124