ベクトル磁気特性技術と設計法モーターの低損失・高効率化設計法

【著者紹介】

榎園　正人（えのきぞの　まさと）

1949年2月生まれ
1978年九州大学大学院工学研究科電気工学専攻博士課程修了。工学博士。「高シリコン系電気鉄板に関する研究」。1980年大分大学工学部赴任、助手、助教授を経て1995年工学部教授。この間1987年9月～1988年12月、2005年4月～9月にドイツ、アレクサンダー・フォン・フンボルト招聘研究員として国立物理工学総合研究所（PTB）に滞在。日本AEM学会会長（2007～2011年）、電気学会電力用磁性材料評価活用技術調査専門委員会委員長（2007～20013年）。IEEE主催CEFC2012のGeneral Chairman。電気機器の低損失・高効率化技術の研究に従事。2008年1月～2012年12月JST地域結集研究開発事業「次世代電磁力機器開発技術の構築」プロジェクト研究代表。2014年 大分大学 名誉教授、ベクトル磁気特性研究所設立。

【目次】

まえがき

第１章　低損失・高効率モーターと社会

1. １．次世代電気機器と背景
2. ２．IEC効率コード
3. ３．トップランナー方式
4. ４．低炭素化社会に向けて

第２章　従来技術の問題点・限界・課題

1. １．磁性材料の磁気特性測定法の問題点
   1. １－１　電磁鋼板の発達と計測法
   2. １－２　磁性材料の測定条件
2. ２．磁気特性測定法の分類
   1. ２－１　標準測定技術（IEC並びにJIS規格試験法）
   2. ２－２　評価測定技術（Hコイル法）
   3. ２－３　活用測定技術（ベクトル測定法）
3. ３．スカラー磁気特性技術の限界
4. ４．ビルディングファクターと磁気特性の劣化
5. ５．電気機器の損失増加要因

第３章　ベクトル磁気特性測定

1. １．ベクトル磁気特性測定法
   1. １－１　一次元測定法と二次元測定法
   2. １－２　ベクトル磁気特性測定法
2. ２．ベクトル磁気特性の測定条件（位相制御）
3. ３．二次元ベクトル磁気特性測定
4. ４．ベクトル磁気特性の特徴
   1. ４－１　交番磁束条件下のベクトル磁気特性
   2. ４－２　回転磁束条件下のベクトル磁気特性
5. ５．ベクトル磁気特性下の磁気損失特性

第４章　実機のベクトル磁気特性分布

1. １．局所ベクトル磁気特性分布の測定法
2. ２．変圧器鉄心中のベクトル磁気特性分布
   1. ２－１　単相モデル鉄心
   2. ２－２　三相モデル鉄心
   3. ２－３　三相三脚変圧器鉄心
   4. ２－４　方向性電磁鋼板
3. ３．三相誘導モーター鉄心中のベクトル磁気特性分布
   1. ３－１　BベクトルとHベクトルの分布
   2. ３－２　最大磁束密度分布と最大磁界強度分布
   3. ３－３　鉄心材料の圧延磁気異方性の影響
   4. ３－４　積層鉄心溶接部の影響
   5. ３－５　鉄損分布
   6. ３－６　回転磁束鉄損の分布
   7. ３－７　高調波成分のベクトル磁気特性
4. ４．三相誘導モーター鉄心のPWMインバータ励磁下のベクトル磁気特性分布
   1. ４－１　PWMインバータ励磁
   2. ４－２　PWMインバータ励磁下の磁気特性
   3. ４－３　PWMインバータ励磁下のベクトル磁気特性分布

第５章　応力ベクトル磁気特性

1. １．磁気特性に及ぼす応力の影響
   1. １－１　応力下の交流ヒステリシスループ
   2. １－２　鉄損に及ぼす応力の影響
2. ２．モーター鉄心の残留応力分布
   1. ２－１　残留応力の測定原理
   2. ２－２　残留応力評価方法
      1. ２－２－１　測定試料
      2. ２－２－２　測定方法
      3. ２－２－３　応力評価法
   3. ２－３　モーター鉄心の局所残留応力分布
   4. ２－４　残留応力の分布評価
      1. ２－４－１　応力分布
      2. ２－４－２　主応力の評価
3. ３．応力ベクトル磁気特性
   1. ３－１　二軸応力下ベクトル磁気特性測定システム
   2. ３－２　応力印加時のベクトル磁気特性評価
      1. ３－２－１　応力ベクトル磁気特性測定評価方法
      2. ３－２－２　従来の評価測定の問題点
   3. ３－３　交番磁束条件下の二軸応力下におけるベクトル磁気特性
   4. ３－４　回転磁束条件下の二軸応力下におけるベクトル磁気特性
4. ４．モーター鉄心中の応力ベクトル磁気特性と鉄損

第６章　ベクトル磁気特性解析

1. １．磁気抵抗率テンソル
2. ２．定常積分型ベクトルヒステリシスE&Sモデルによるベクトル磁気特性解析
   1. ２－１　定常積分型E&Sモデル
   2. ２－２　積分型E&Sモデルによる磁気特性解析基礎方程式
3. ３．定常ベクトル磁気特性解析
   1. ３－１　電磁鋼板モデルのベクトル磁気特性解析
   2. ３－２　単相鉄心モデルのベクトル磁気特性解析
   3. ３－３　三相鉄心モデルのベクトル磁気特性解析
   4. ３－４　三相変圧器の接合方式の違いによる検討
   5. ３－５　誘導モーター鉄心の低損失化の検討
4. ４．ダイナミック積分型E&Sモデルによるベクトル磁気特性解析
   1. ４－1　定常積分型E&Sモデルの意味
   2. ４－２　ダイナミック積分型E&Sモデル
   3. ４－３　ダイナミック積分型E&Sモデルのための係数決定法
      1. ４－３－１　フーリエ変換を利用した余弦波成分および正弦波成分への分解方法
      2. ４－３－２　磁束密度波形および磁界強度波形
      3. ４－３－３　磁気抵抗係数および磁気ヒステリシス係数
      4. ４－３－４　係数の位相補正
      5. ４－３－５　回転座標変換による任意の磁化容易軸方向の考慮
   4. ４－４　ダイナミック積分型E&Sモデルによる磁気特性解析基礎方程式
   5. ４－５　ダイナミックベクトル磁気特性解析
      1. ４－５－１　定常型とダイナミックス型磁気特性解析結果の比較
      2. ４－５－２　測定結果との比較
5. ５．ダイナミックベクトル磁気特性解析による解析結果
   1. ５－１　三相変圧器
   2. ５－２　永久磁石モーター
   3. ５－３　誘導モーター

第７章　ベクトル磁気特性活用技術

1. １．低損失・高効率化に向けて
2. ２．磁性材料活用技術
3. ３．設計・開発ツール
4. ４．設計・製造技術
5. ５．低損失・高効率化支援技術
   1. ５－１　局所ベクトル磁気特性分布測定技術
   2. ５－２　鉄損分布可視化技術
   3. ５－３　製造支援装置
6. ６．ベクトル磁気特性制御技術

あとがき

索引

【参考文献】

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53. M. Enokizono, H. Shimoji, “Vector Magneto-hysteretic Engineering Model”, Journal of Materials Proceeding Technology, Elsevier, Vol. 161, pp. 136-140, 2005.
54. M. Enokizono, H. Shimoji, “Magnetic Characteristic Analysis of Electrical Machines by Vector Magneto-hysteretic E&S2 Model”, Journal of Materials Proceeding Technology, Elsevier, Vol. 161, pp. 218-223, 2005.
55. 浦田信也，戸高孝，下地広泰，榎園正人，「歪磁束密度条件下の2次元ベクトル磁気特性のモデリング」，日本AEM学会誌，Vol. 13，No. 4，pp. 298-303，2005.
56. 大戸基道，堀部豊洋，下地広泰，榎園正人，「二次元磁気特性を用いたリニアモーターの鉄損シミュレーション」，日本AEM学会誌，Vol. 13，No. 4，pp. 328-333，2005.
57. M. Enokizono, H. Shimoji, “Vector Magneto-hysteretic Engineering Model”, Journal of Materials Proceeding Technology, Elsevier, Vol. 161, pp. 136-140, 2005.
58. M. Enokizono, H. Shimoji, “Vector Magneto-hysteretic Engineering Model”, Journal of Materials Proceeding Technology, Elsevier, Vol. 161, pp. 218-223, 2005.
59. S. Urata, H. Shimoji, T. Todaka, M. Enokizono, “Measurement of Two-dimensional Vector Magnetic Properties on Frequency Dependence of Electrical Steel Sheet, International Journal of Applied Electromagnetics and Mechanics, Vol. 20, Nos. 3-4, pp. 155-162, IOS-Press, 2004.
60. H. Shimoji, M. Enokizono, “E&S2 Model for Vector Magnetic Hysteresis Property”, 　Journal of Magnetism and Magnetic Materials, Vol. 290-292, pp. 39-42, 2003.
61. 61）M. Enokizono, H. Matsuo, “A Measurement System for Two-dimensional DC-Biased Properties of Magnetic Materials”, Journal of Magnetism and Magnetic Materials, Vol. 254-255, pp. 39-42, 2003.
62. 62）H. Shimoji, M. Enokizono, T. Todaka, ”A New Modeling of the Vector Magnetic Property”, IEEE Transactions on Magnetics, Vol. 38, No. 2, pp. 861-864, 2002.
63. 63）M. Enokizono, K. Okamoto, “Designing a Low-Loss Induction Motor Considering the Vector Magnetic Properties”, IEEE Transactions on Magnetics, Vol. 38, No. 2, pp. 877-880, 2002.
64. 64）M. Enokizono, Y. Fujita, “Improvement of E&S Modeling for Eddy-Current Magnetic Field Analysis”, IEEE Transactions on Magnetics, Vol. 38, No. 2, pp. 881-884, 2002.
65. 65）Y. Hashimoto, M. Enokizono, “Measurement of the Localized Iron Loss in Electromagnetic Steel Sheet by using the Needle Probe Method”, Journal of Applied Physics, Vol. 91, No. 10, pp. 6935-6937, 2002.
66. M. Enokizono, H. Shimoji, T. Horibe, “Loss Evaluation of Induction Motor by using Magnetic Hysteresis E&S2 Model”, IEEE Transactions on Magnetics, Vol. 38, No. 5, pp. 2379-2381, 2002.
67. M. Enokizono, “Magnetic Hysteresis Modelling for Vector Magnetic Property”, International Journal of Applied Electromagnetics and Mechanics, IOS Press, Part I, Vol. 14, pp. 203-208, 2002.
68. M. Enokizono, Y. Hashimoto, N. Mogi, “Iron Loss Distribution by Influence of Crystal Grain in Electromagnetic Steel Sheet and Its Two-Dimensional Magnetic Properties”, Journal of The Magnetics Society of Japan, Vol. 25，No. 4-2，pp. 899-902, 2001.
69. M. Enokizono, H. Amano, “Examination of the High Accuracy of E&S Modeling”, Journal of The Magnetics Society of Japan, Vol. 25，No. 4-2，pp. 1107-1110, 2001.
70. M. Enokizono, “Two-Dimensional (Vector） Magnetic Property and Improved Magnetic Field Analysis for Electrical Machines”, Journal of Materials Processing Technology, Vol. 108, pp. 225-231, 2001.
71. N. Soda, Masato Enokizono, ”E&S Hysteresis Model for Two-dimensional Magnetic Properties”, Journal of Magnetism and Magnetic Materials, Vol. 215-216, pp. 626-628, 2001.
72. M. Enokizono, S. Fujiyama, H. Shimoji, J. Sievert, “Localized Distribution of Two-dimensional Magnetic Properties in Three-phase Induction Motor Core Model”, Journal of Magnetism and Magnetic Materials, Vol. 215-216, pp. 772-775, 2001.
73. M. Enokizono, Y. Takeshima, “Measurement System of Alternating Magnetic Properties under DC-biased Field”, Journal of Magnetism and Magnetic Materials, Vol. 215-216, pp. 704-707, 2001.
74. H. Shimoji, M. Enokizono, T. Todaka, “Iron Loss and Magnetic Fieles Analysis of Permanent Magnet Motors by Improved Finite Element Method with E&S Model”, IEEE Transactions on Magnetics, Vol. 37, No. 5, pp. 3526-3529, 2001.
75. M. Enokizono, Y. Takeshima, H. Matsuo, “Measuring Magnetic Properties under DC-biased Magnetization Using Single-Sheet Tester”, Journal of The Magnetics Society of Japan, Vol. 24, No. 4-2, pp. 987-990, 2000.
76. N. Soda, M. Enokizono, “Improvement of T-Joint Part Constructions in Three-Phase Transformer Cores by Using Direct Loss Analysis with E&S Model”, IEEE Transactions on Magnetics, Vol.36, No. 4, pp. 1285-1288, 2000.
77. M. Enokizono, K. Takahasi, Y. Yoshida, T. Kubota, ”Magnetic Properties of Double Grain-Oriented Steel Sheet in Rotational Flux Conditions”, Journal of The Magnetics Society of Japan, Vol. 24, No. 4-2, pp. 659-662, 2000.
78. N. Soda, M. Enokizono, “Hysteresis Model of Two-Dimensional Magnetic Properties Using an E&S Model”, Journal of The Magnetics Society of Japan, Vol. 24, No. 4-2, pp. 827-830,2000.
79. M. Enokizono, K. Okamoto, “Magnetic Field Analysis Using E&S Model for Induction Motor”, Journal of The Magnetics Society of Japan, Vol. 24, No. 4-2, pp. 987-990, 2000.
80. M.Enokizono , S. Fujiyama, I. Serikawa, “Distribution on Localized Two-Dimensional Magnetic Properties of Three-Phase Induction Motor Core”, Electrical Engineering in Japan, JIEE. Vol. 133, No.4, pp. 34-40, 2000.
81. M. Enokizono, T. Miyazaki, “Study on Torque Improvement of Single-Phase Induction Motor by using FEM”, IEEE Transactions on Magnetics, Vol. 35, No. 5, pp. 3703-3706, 1999.
82. M. Enokizono, M. Morikawa, S. Fujiyama, J. Sievert, I. Serikawa, “Distribution of Local Magnetic Properties in Three-Phase Induction Motor Model Core”, IEEE Transactions on Magnetics, Vol. 35, No. 5, pp. 3937-3939, 1999.
83. M. Enokizono, I. Tanabe, T. Kubota, “Localized Distribution of Two-dimensional Magnetic Properties and Magnetic Domain Observation”, Journal of Magnetism and Magnetic Materials, Vol. 196-197, pp. 338-340, 1999.
84. M. Enokizono, I. Tanabe, K. Takahashi, Y. Yoshida, T. Kubota, “Effects of Scratching on Two-dimensional Magnetic Properties in Grain-oriented Silicon Steel Sheet”, Journal of Magnetism and Magnetic Materials, Vol. 196-197, pp. 335-337, 1999.
85. Y. Yoshida, M. Enokizono, T. Todaka, G. Shirakawa, “Vector Magnetic Properties in Arbitrary Direction of Various Kinds of Magnetic Materials”, Journal of Magnetism and Magnetic Materials, Vol. 196-197, pp. 904-906, 1999.
86. M. Enokizono, N. Soda, “Core Loss Analysis of Transformer by Improved FEM”, Journal of Magnetism and Magnetic Materials, Vol. 196-197, pp. 910-912, 1999.
87. M. Enokizono, Y. Takeshima, “Measuring Method of Magnetic Properties of Electrical Steel Sheets under DC-biased Magnetization with Flux Meter”, Journal of Magnetism and Magnetic Materials, Vol. 196-197, pp. 913-914, 1999.
88. M. Enokizono, Y. Takeshima, “Measurement Method of DC-biased Magnetic Properties on Silicon Steel Sheet”, Transaction of the Institute of Electrical Engineers of Japan, Vol. 119-A, No. 11, pp. 1330-1335, 1999.
89. M. Enokizono, S. Fujiyama, I. Serikawa, “Localized Two-Dimensional Magnetic Properties of Three-phase Induction Motor Model Core”, Transaction of the Institute of Electrical Engineers of Japan, Vol. 119-A, No. 11, pp. 1336-1341, 1999.
90. M. Enokizono, N. Soda, “Iron Loss Analysis of Transformer Core Model by FEM Considering Vector Magnetic Properties”, IEEE Transactions on Magnetics, Vol. 35, No. 5, pp. 3008-3011, 1999.
91. M. Enokizono, Y. Sadanaga, “Improved Magnetic Field Analysis of Induction Motor Models”, IEEE Transactions on Magnetics, Vol. 34, No. 5, pp. 2621-2624, 1998.
92. M. Enokizono, N. Soda, “Direct Magnetic Loss Analysis by FEM considering Vector Magnetic Properties”, IEEE Transactions on Magnetics, Vol. 34, No. 5, pp. 3008-3011, 1998.
93. M. Enokizono, I. Tanabe, T. Kubota”, Local Iron Loss Distribution in a Grain-oriented 3% Silicon Steel Sheet by Two-Dimensional Magnetic Measurement”, Journal de Physique IV, Vol. 8, pp. Pr2-713~Pr2-716, 1998.
94. M. Enokizono, S. Fujiyama, “The Influence of Compressive Stress on the Magnetic Flux Density in the Three-phase Induction Motor Core model”, Journal de Physique IV, Vol. 8, pp. Pr2-713~Pr2-716, 1998.
95. M. Enokizono, I. Tanabe, T. Kubota, “Local Distribution on Magnetic Properties in Grain-oriented Silicon Steel Sheet”, Journal of Applied Physics, Vol. 83, No. 11, pp. 6486-6488, 1998.
96. M. Enokizono, N. Soda, “Study on Numerical Modeling of Anisotropic Magnetic Properties”, Journal of Technical Physics, Vol. 39, No. 3-4, pp. 429-436, 1998.
97. M. Enokizono, T. Todaka, I. Tanabe, “Design of Yoke Shapes in a Loss Tester”, Journal of Technical Physics, Vol. 39, No. 3-4, pp. 443-450, 1998.
98. M. Enokizono, I. Tanabe, “Local Two-Dimensional Magnetic Properties of Grain-Oriented Sheet”, Journal of The Magnetics Society of Japan, Vol. 22, No. 4-2，pp. 901-904, 1998.
99. M. Enokizono, I. Tanabe, “Studies on a New Simplified Rotational Loss Tester”, IEEE Transactions on Magnetics, Vol. 33, No. 5, pp. 4020-4022, 1997.
100. M. Enokizono, N. Soda, “Finite Element Analysis of Transformer Model Core with Measured Reluctivity Tensor”, IEEE Transactions on Magnetics, Vol. 33, No. 5, pp. 4110-4112, 1997.
101. M. Enokizono, S. Mori, O. Benda, “A Treatment of the Magnetic Reluctivity Tensor for Rotating Magnetic Field”, IEEE Transactions on Magnetics, Vol. 33, No. 2, pp. 1608-1611, 1997.
102. M. Enokizono, K. Matsumura, F. Mohri, “Magnetic Field Analysis of Anisotropic Magnet Problems by Finite Element Method”, IEEE Transactions on Magnetics, Vol.　33, No. 2, pp. 1612―1615, 1997.
103. M. Enokizono, I. Tanabe, “Simplified Two-Dimensional Magnetic Measurement Apparatus, “Journal of The Magnetics Society of Japan，Vol. 21，No. 4-2，pp. 713-716, 1997.
104. M. Enokizono, K. Kawamura, M. Morikawa, J.D. Sievert, I. Serikawa, “Distribution of the Loss in a Three Phase Induction Motor Model for Two-Dimensional Magnetic Measurement”, Journal of The Magnetics Society of Japan, Vol. 21, No. 4-2, pp. 701-704, 1997.
105. M. Enokizono, T. Todaka, Y. Midou, “Numerical Simulation of Domain Structure in Magnetic Thin Sheet”, IEEE Transactions on Magnetics, Vol. 32, No. 3, pp. 1172-1175, 1996.
106. T. Kanada, M. Enokizono, K. Kawamura, “Distribution on Localized Iron Loss of Three-Phase Amorphous Transformer Model Core by using Two-Dimensional Magnetic Sensor”, IEEE Transactions on Magnetics, Vol. 32, No. 5, pp. 4797-4799, 1996.
107. M. Enokizono, M. Morikawa, K. Kawamura, J. Sievert, “Distribution of Two-Dimensional Magnetic Properties in Three-Phase Induction Motor Model Core”, IEEE Transactions on Magnetics, Vol. 32, No. 5, pp. 4989-4991, 1996.
108. M. Enokizono, T. Todaka, K. Nakamura, “Flux Distribution in a Wound Core of a Single-Phase Transformer”, Journal of Magnetism and Magnetic Materials, Vol. 160, pp. 61-62, 1996.
109. M. Enokizono, S. Kanao, K. Shibao, “Permeability Tensor of High Induction Level in a Rotational Magnetic Flux”, Journal of Magnetism and Magnetic Materials, Vol. 160, pp. 73-74, 1996.
110. T. Kanada, M. Enokizono, K. Kawamura, J. Sievert, “Two-Dimensional Magnetic Properties of a Three-Phase Amorphous Transformer Core”, Journal of Magnetism and Magnetic Materials, Vol. 160, pp. 77-78, 1996.
111. M. Enokizono, N. Soda, ""Magnetic Field Analysis by Finite Element Method using Effective Anisotropic Field”, IEEE Transactions on Magnetics, Vol. 31, No. 3, pp. 1793-1796, 1995.
112. M. Enokizono, K. Yuki, S. Kawano, “An Improved Magnetic Field Analysis in Oriented Sheet by Finite Element Method considering Tensor Reluctivity”, IEEE Transactions on Magnetics, Vol. 31, No. 3, pp. 1797-1800, 1995.
113. M. Enokizono, T. Todaka, S. Kanao, “Two-Dimensional Magnetic Properties I. Arbitrary Magnetostriction under Alternating Magnetic Flux”, Journal of The Magnetics Society of Japan, Vol.. 19, No. 2, pp. 293-296, 1995.
114. M. Enokizono, T. Todaka, S. Kanao, “Two-Dimensional Magnetic Properties II. Arbitrary Magnetostriction under Rotational Magnetic Flux”, Journal of The Magnetics Society of Japan, Vol. 19，No. 2, pp.297-300, 1995.
115. M. Enokizono, T. Todaka, S. Kawano, Y. Okazaki, “Two-Dimensional Magnetic Property of Double Oriented Silicon Steel Sheet”, Journal of The Magnetics Society of Japan, Vol. 19, No. 2, pp. 437-440, 1995.
116. M. Enokizono, T. Todaka, S. Kanao, “New Expression of Alternating Magnetic Property on Grain-Oriented Silicon Steel Sheet (Two-Dimensional Magnetic Property）”, Journal of The Magnetics Society of Japan, Vol. 19, No. 2, pp. 449-452, 1995.
117. M. Enokizono, K. Kawamura, J. Sievert, “Discussion on Localized Distribution of Two-Dimensional Magnetic Properties in Three-Phase Transformer Model Core”, Journal of The Magnetics Society of Japan, Vol. 19, No. 2, pp. 585-588, 1995.
118. M. Enokizono, T. Todaka, T. Katai, “Magnetic Property Measurement System using Three-axis Probe”, Journal of the Japan Society of Applied Electromagnetics, Vol. 3, No. 1, pp. 83-86, 1995.
119. M. Enokizono, “Two-Dimensional Magnetic Property”, Transaction of the Institute of Electrical Engineers of Japan, Vol. 115-A, No. 1, pp. 1-8, 1995.
120. M. Enokizono, K. Kawamura, J. Sievert, “Two-dimensional Magnetic Properties of Three-phase Transformer Core”, International Journal of Applied Electromagnetics in Materials, Supplement, Vol. 6, pp. 659-662, 1995.
121. M. Enokizono, “Magnetic Field Analysis of Anisotropic Problem by Finite Element Method”, International Journal of Applied Electromagnetics in Materials, Supplement, Vol. 6, pp. 265-268, 1995.
122. M. Enokizono, K. Yuki, S.Kanao, ""Magnetic Field Analysis by Finite Element Method taking Rotational Hysteresis into account”, IEEE Transactions on Magnetics, Vol. 30, No. 5, pp. 3375-3378, 1994.
123. M. Enokizono, M. Kumoi, S. Kawano, ""Finite Element Analysis of Anisotropic Magnetic Materials taking Rotation Magnetization into account”, IEEE Transactions on Magnetics, Vol. 30, No. 5, pp. 3387-3390, 1994.
124. M. Enokizono, K. Kawamura, J. Sievert, “New Magnetic Search Coil System for Two-Dimensional Magnetic Measurement”, International Journal of Applied Electromagnetics in Materials, Supplement, Vol. 5, pp. 21-24, 1994.
125. M. Enokizono, N. Soda, “A Study on Magnetic Properties of an Anisotropic Magnetic Material”, Journal of the Japan Society of Applied Electromagnetics, Vol. 2, No. 4, pp.20-24, 1993.
126. M. Enokizono, S. Kanao, K. Yuki, “Permeability Tensor of Grain-oriented Silicon Steel Sheet”, Journal of Magnetism and Magnetic Materials, Vol. 133, Nos. 1-3, pp. 209-211, 1993.
127. M. Enokizono, S. Kanao, S. Kawano, “Two-dimensional Magnetic Properties of Silicon Steel Sheet subjected to an Alternating Field”, Journal of Magnetism and Magnetic Materials, Vol. 133, Nos. 1-3, pp. 212-215, 1993.
128. M. Enokizono, T. Todaka, K. Yuki, “Constitutive Equation of Magnetic Materials and Magnetic Field Analysis”, IEEE Transactions on Magnetics, Vol. 29, No. 2, pp. 1538-1541, 1993.
129. M. Enokizono, T. Todaka, I. Serikawa, “Flux Distributions in Three-phase Induction Motor with Disconnection Problem”, IEEE Transactions on Magnetics, Vol. 29, No. 6, pp. 3165-3167, 1993.
130. M. Enokizono, T. Todaka, S. Kanao, J. Sievert, “Two-dimensional Magnetic Properties of Silicon Steel sheet subjected to a Rotating Field”, IEEE Transactions on Magnetics, Vol. 29, No. 6, pp. 3550-3552, 1993.
131. M. Enokizono, K. Yuki, “Magnetic Field Analysis based on Two-Dimensional Magnetic Properties by Finite Element Method”, Journal of Electrical Engineering, Vol. 44, No. 6, pp. 171-176, 1993.
132. M. Enokizono, K. Yuki, “Numerical Modeling of Two-Dimensional Magnetic Properties for the Finite Element Method”, International Journal of Applied Electromagnetics in Materials, Vol. 4, No. 1, pp. 49-58, 1993.
133. M. Enokizono, T. Todaka, K. Kawamura, J. Sievert, “Distribution of Two-Dimensional Magnetic Property in Three-Phase Transformer Model”, Journal of the Japan Society of Applied Electromagnetics, Vol. 1, No. 1, pp.39-42, 1993.
134. M. Enokizono, T. Todaka, K. Yuki, “Two-Dimensional Magnetization Characteristics and Magnetic Field Analysis”, Journal of The Magnetics Society of Japan, Vol. 17，No. 2, pp. 553-558, 1993.
135. M. Enokizono, S. Kanao, “Two-Dimensional Magnetization Characteristics”, Journal of The Magnetics Society of Japan, Vol. 17, No. 2, pp.559-564, 1993.
136. M. Enokizono, T. Todaka, K. Wakayama, ”Rotational Flux Distribution in Amorphous Model Core”, Journal of The Magnetics Society of Japan, Vol. 16, No. 2, pp. 397-402, 1992.
137. M. Enokizono, T. Todaka, T. Sashikata, J. Sievert, H. Ahlers, “Magnetic Field Analysis of Rotational Loss Tester with Vertical Yoke”, Journal of Magnetism and Magnetic Materials, Vol. 112, Nos. 1-3, pp. 81-84, 1992.
138. M. Enokizono, G. Shirakawa, J. Sievert, ”Anomalous Anisotropy and Rotational Magnetic Properties of Amorphous Sheet”, Journal of Magnetism and Magnetic Materials, Vol. 112, Nos. 1-3, pp. 195-199, 1992.
139. M. Enokizono, T. Todaka, K. Kihara”, Flux Distribution in Magnetic Core with Wound Strips of Laminations”, Journal of Magnetism and Magnetic Materials, Vol.112, Nos. 1-3, pp. 203-206, 1992.
140. M. Enokizono, T. Todaka, K. Yuki, “Numerical Modeling of Two-Dimensional Magnetic Properties”, International Journal of Applied Electromagnetics in Materials, Supplement, Vol. 3, pp. 389-392, 1992.
141. M. Enokizono, G. Shirakawa, T. Suzuki, J. Sievert, “Two-Dimensional Magnetic Property of Silicon Steel Sheet”, Journal of The Magnetics Society of Japan, Vol. 15, No. 2, pp. 265-270, 1991.
142. M. Enokizono, “Numerical Simulation of Induction Motor by Finite Element Method”, International Journal of Applied Electromagnetics in Materials, Supplement, Vol. 1, pp. 243-246, 1991.
143. M. Enokizono, T. Suzuki, J. Sievert”, Rotational Power Loss of Silicon Steel Sheet”, IEEE Transactions on Magnetics, Vol. 26, No. 5, pp. 2562-2564, 1990.
144. M. Enokizono, J. Sievert, H. Ahlers, “Optimum Yoke Construction for Rotational Loss Measurement Apparatus”, Anales de Fisica, Vol. 86, pp. 320-322, 1990.
145. M. Enokizono, J. Sievert, “Analytical Studies on the Yoke Construction of a Single Sheet Tester”, Anales de Fisica, Vol. 86, pp. 35-37, 1990.
146. M. Enokizono, T. Suzuki, J. Sievert, “Measurement of Iron Loss Using Rotational Magnetic Loss Measurement Apparatus”, Journal of The Magnetics Society of Japan, Vol. 14, No. 2, pp. 455-458, 1990.
147. M. Enokizono, J. Sievert, “Magnetic Field and Loss Analysis in an Apparatus for the Determination of Rotational Loss”, Physica Scripta, Vol. 39, pp. 356-359, 1989.
148. M. Enokizono, J. Sievert, “Numerical Analysis of Accuracy of Rotational Magnetic Loss Measurement apparatus”, Journal of The Magnetics Society of Japan, Vol. 13, No. 2, pp. 403-406, 1989.
149. M. Enokizono, K. Ikeshita, “Analysis of Hysteresis Loss by Finite Element Method”, Transaction of the Institute of Electrical Engineers of Japan, Vol. 109-A, No. 6, pp. 247-254, 1989.
150. M. Enokizono, T. Todaka, M. Aoki, “Magnetic Field Analysis of Permanent-Slit Capacitor Motor”, Transaction of the Institute of Electrical Engineers of Japan, Vol. 108-D, No. 6, pp. 588-594, 1988.
151. M. Enokizono, “Measurement and Analysis of Magnetic Field in an Inverter-fed Three-Phase Squirrel-cage Induction Motor”, Transaction of the Institute of Electrical Engineers of Japan, Vol. 108-D, No. 9, pp. 821-828, 1988.
152. M. Enokizono, T. Todaka, Y. Shirafuji, “Analysis of Magnetostriction on External Load by F.E.M”, Journal of The Magnetics Society of Japan, Vol. 10, No. 2, pp. 265-270, 1986.
153. M. Enokizono, K. Kuwahara, T. Yano, “Experimental Study on the Distribution of Rotational Flux and Iron Losses of Three-phase Induction Motors by Using a Model Machine”, Transaction of the Institute of Electrical Engineers of Japan, Vol. 103-B, No. 12, pp. 844-850, 1983.

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