{"id":4619,"date":"2022-06-27T18:00:48","date_gmt":"2022-06-27T09:00:48","guid":{"rendered":"https:\/\/www.ssil.co.jp\/product\/EMSolution\/?post_type=case&#038;p=4619"},"modified":"2023-03-06T16:41:15","modified_gmt":"2023-03-06T07:41:15","slug":"frozen_permeability","status":"publish","type":"case","link":"https:\/\/www.ssil.co.jp\/product\/EMSolution\/case\/frozen_permeability","title":{"rendered":"Frozen permeability\u6cd5\u306b\u3088\u308b\u78c1\u675f\u5bc6\u5ea6\u306e\u8981\u56e0\u5206\u6790"},"content":{"rendered":"<h3>\u6982\u8981<\/h3>\n<p>Frozen permeability\u6cd5\u3068\u306f\uff0cPM\u30e2\u30fc\u30bf\u306e\u3088\u3046\u306b\u30ed\u30fc\u30bf\u3068\u30b9\u30c6\u30fc\u30bf\u306b\u305d\u308c\u305e\u308c\u8d77\u78c1\u529b\u6e90\u304c\u3042\u308b\u5834\u5408\u306b\uff0c\u4e21\u65b9\u3092\u52b1\u78c1\u3055\u305b\u305f\u72b6\u614b\u3067\u4e00\u5ea6\u975e\u7dda\u5f62\u78c1\u5316\u7279\u6027\u3092\u8003\u616e\u3057\u305f\u89e3\u6790\u3092\u884c\u3044\uff0c\u305d\u3053\u3067\u5f97\u3089\u308c\u305f\u900f\u78c1\u7387\u3092\u56fa\u5b9a\u3057\u305f\u72b6\u614b\u3067\uff0c\u3069\u3061\u3089\u304b\u4e00\u65b9\u3092\u52b1\u78c1\u3055\u305b\u3066\u89e3\u6790\u3059\u308b\u624b\u6cd5\u3067\u3059\u3002\u6c38\u4e45\u78c1\u77f3\u306e\u78c1\u675f\u5bc6\u5ea6\u3068\u30b3\u30a4\u30eb\u306e\u78c1\u675f\u5bc6\u5ea6\u3092\u767a\u751f\u8981\u56e0\u5225\u306b\u5206\u89e3\u3057\u3066\u8a55\u4fa1\u3092\u884c\u3046\u3053\u3068\u304c\u53ef\u80fd\u3067\u3059\u3002\u3053\u3053\u3067\u306f\u6a5f\u80fd\u7d39\u4ecb\u3082\u304b\u306d\u3066\uff0cdq\u8ef8\u9593\u306e\u5e72\u6e09\u304c\u3042\u308b\u3053\u3068\u304c\u77e5\u3089\u308c\u3066\u3044\u308b\u96fb\u6c17\u5b66\u4f1a\u30d9\u30f3\u30c1\u30de\u30fc\u30af\u30e2\u30fc\u30bf\u300cD1\u30e2\u30c7\u30eb\u300d\u3092\u7528\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n<h3>\u89e3\u8aac<\/h3>\n<p>\u56f31\u306b\uff0c\u5b9a\u683c\u6761\u4ef6\u3067\u3042\u308b4.4Arms, $\\beta$=20deg\u3067\u901a\u5e38\u306e\u8ca0\u8377\u89e3\u6790\u3092\u884c\u3044\uff0c\u305d\u306e\u5f8cFrozen permeability\u6cd5\u306b\u3066\u78c1\u77f3\u306e\u307f\uff08\u901a\u96fb\u96fb\u6d41\u30bc\u30ed\u3002\u7121\u8ca0\u8377\u89e3\u6790\u3068\u540c\u7b49\uff09\u3068\u3057\u3066\u89e3\u6790\u3057\u305f\u78c1\u675f\u5bc6\u5ea6\u5206\u5e03\u3092\u793a\u3057\u307e\u3059\u3002\u53c2\u8003\u307e\u3067\u306b\uff0c\u7121\u8ca0\u8377\u89e3\u6790\u3067\u3042\u308bFrozen permeability\u6cd5\u3092\u4f7f\u7528\u3057\u306a\u3044\u78c1\u77f3\u306e\u307f\u306e\u78c1\u675f\u5bc6\u5ea6\u5206\u5e03\u3082\u4f75\u305b\u3066\u793a\u3057\u307e\u3059\u3002\u3053\u308c\u3088\u308a\uff0cFrozen permeability\u6cd5\u3067\u306f\u56fa\u5b9a\u3055\u308c\u305f\u900f\u78c1\u7387\u304c\u5206\u5e03\u3057\u3066\u3044\u308b\u305f\u3081\uff0c\u901a\u5e38\u306e\u7121\u8ca0\u8377\u89e3\u6790\u3068\u6bd4\u8f03\u3057\u3066\u7570\u306a\u308b\u78c1\u675f\u5bc6\u5ea6\u5206\u5e03\u304c\u5f97\u3089\u308c\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3059\u306a\u308f\u3061\uff0c\u8ca0\u8377\u72b6\u614b\u3067\u306f\u7121\u8ca0\u8377\u72b6\u614b\u3068\u7570\u306a\u308b\u78c1\u675f\u306e\u6d41\u308c\u3068\u306a\u3063\u3066\u3044\u308b\u3053\u3068\u304c\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002<\/p>\n<div class=\"img col2\">\n<div>\n        <a href=\"\/product\/EMSolution\/wp-content\/uploads\/FrozenPermeability01a.png\" class=\"modal\"><img decoding=\"async\" src=\"\/product\/EMSolution\/wp-content\/uploads\/FrozenPermeability01a.png\" alt=\"\" \/><\/a><\/p>\n<p style=\"text-align:center\">(a) \u78c1\u77f3\uff0b\u96fb\u6a5f\u5b50\u96fb\u6d41<\/p>\n<\/p><\/div>\n<div>\n        <a href=\"\/product\/EMSolution\/wp-content\/uploads\/FrozenPermeability01b.png\" class=\"modal\"><img decoding=\"async\" src=\"\/product\/EMSolution\/wp-content\/uploads\/FrozenPermeability01b.png\" alt=\"\" \/><\/a><\/p>\n<p style=\"text-align:center\">(b) \u78c1\u77f3\u306e\u307f\uff08Frozen permeability\u6cd5\uff09<\/p>\n<\/p><\/div>\n<\/div>\n<div class=\"img col2\">\n<div>\n        <a href=\"\/product\/EMSolution\/wp-content\/uploads\/FrozenPermeability01c.png\" class=\"modal\"><img decoding=\"async\" src=\"\/product\/EMSolution\/wp-content\/uploads\/FrozenPermeability01c.png\" alt=\"\" \/><\/a><\/p>\n<p style=\"text-align:center\">(c) \u7121\u8ca0\u8377\u89e3\u6790<\/p>\n<\/p><\/div>\n<\/div>\n<p style=\"text-align:center\">Fig.1 D1\u30e2\u30c7\u30eb Frozen permeability\u6cd5\u306b\u3088\u308b\u78c1\u675f\u5206\u5e03\u306e\u5206\u89e3<\/p>\n<p>\u6b21\u306b\uff0cFrozen permeability\u6cd5\u3092\u4f7f\u7528\u3057\u305f\u78c1\u77f3\u306e\u307f\u306e\u89e3\u6790\u306ed\u8ef8\u9396\u4ea4\u78c1\u675f\u3092\u78c1\u77f3\u9396\u4ea4\u78c1\u675f$\\psi_m$\u3068\u3057\u3066\u30c8\u30eb\u30af\u5f0f\uff0c<\/p>\n<p>$${T_m=P_n\\left(\\psi_{0 d} i_q-\\psi_{0 q } i_d\\right)=P_n\\left\\{\\psi_m i_q+\\left(L_d-L_q\\right) i_d i_q\\right\\} \u3000\u3000\u3000\u30fb\u30fb\u30fb(1) }$$ <\/p>\n<p>\u3088\u308a\u8a08\u7b97\u3057\u305f\u30c8\u30eb\u30af$(L_{d}L_{q}\u2461-1)$\u3068\uff0c\u8ca0\u8377\u89e3\u6790\u3067\u5f97\u3089\u308c\u305fd\u304a\u3088\u3073q\u8ef8\u78c1\u675f\u3092\u7528\u3044\u3066$L_{d}$, $L_{q}$\u3092\u7b97\u51fa\u3057\u3066\u30c8\u30eb\u30af\u5f0f(1)\u3088\u308a\u8a08\u7b97\u3057\u305f\u30c8\u30eb\u30af$(L_{d}L_{q}\u2461-2)$\u3068\uff0c\u4e00\u822c\u7684\u306a$L_{d}$, $L_{q}$\u306e\u7b97\u51fa\u65b9\u6cd5\u3067\u3059\u3002\u4ee5\u4e0b\u306e\u624b\u9806\uff0c<\/p>\n<ol>\n<li>\u78c1\u77f3\u78c1\u675f$\\psi_{m}$\u306e\u7b97\u51fa<br \/>\u96fb\u6d41\u3092$i_q$ = $i_d$ = 0 \uff08\u7121\u8ca0\u8377\uff09\u3068\u3057\uff0c\u6307\u5b9a\u56de\u8ee2\u6570\u3067\u5b9a\u901f\u56de\u8ee2\u3055\u305b\u3066\u8a08\u7b97\u3057\u305f\u7d50\u679c\u3088\u308a\uff0cdq\u5909\u63db\u3057\u305fd\u8ef8\u78c1\u675f$\\psi_{0d}$\u304c\u78c1\u77f3\u78c1\u675f$\\psi_{m}$\u3068\u306a\u308b\uff08$\\psi_{m} = \\psi_{0d}$\uff09\u3002<br \/>\u3000\u3000\u3000<\/li>\n<li>$L_d$\u306e\u7b97\u51fa<br \/>\u57fa\u672c\u6ce2\u96fb\u6d41\u3092\u8003\u3048\uff0c\u96fb\u6d41\u3092$i_q$ = 0, $i_d$ = const. ($\\beta$ = 90 [deg])\u3068\u3057\uff0c\u6307\u5b9a\u56de\u8ee2\u6570\u3067\u5b9a\u901f\u56de\u8ee2\u3055\u305b\u3066\u8a08\u7b97\u3057\u305f\u7d50\u679c\u3088\u308a\uff0cdq\u5909\u63db\u3057\u305fd\u8ef8\u78c1\u675f$\\psi_{0d}$\u3068(1)\u306e\u78c1\u77f3\u78c1\u675f\u3092\u7528\u3044\u3066\uff0c\u6b21\u5f0f\u3088\u308a\u6c42\u307e\u308b\u3002<br \/>$\\psi_{0d} = L_{d}i_{d} + \\psi_{m}$\u3000\u3000\u3000\u30fb\u30fb\u30fb\uff082\uff09<br \/>\u3000\u3000\u3000<\/li>\n<li>$L_q$\u306e\u6c7a\u5b9a<br \/>\u57fa\u672c\u6ce2\u96fb\u6d41\u3092\u8003\u3048\uff0c\u96fb\u6d41\u3092$i_d$ = 0, $i_q$ = const. ($\\beta$ = 0 [deg])\u3068\u3057\uff0c\u56de\u8ee2\u6570$N$\u3067\u5b9a\u901f\u56de\u8ee2\u3055\u305b\u3066\u8a08\u7b97\u3057\u305f\u7d50\u679c\u3088\u308a\uff0cdq\u5909\u63db\u3057\u305fq\u8ef8\u78c1\u675f$\\psi_{0q}$\u3092\u7528\u3044\u3066\uff0c\u6b21\u5f0f\u3088\u308a\u6c42\u307e\u308b\u3002<br \/>$\\psi_{0q} = L_{q}i_{q} $\u3000\u3000\u3000\u30fb\u30fb\u30fb\uff083\uff09<br \/>\u3000\u3000\u3000<\/li>\n<\/ol>\n<p>\u3067\u6c42\u3081\u305f\u30e2\u30fc\u30bf\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u7528\u3044\u3066\u7b97\u51fa\u30c8\u30eb\u30af\u5f0f(1)\u3088\u308a\u7b97\u51fa\u3057\u305f\u30c8\u30eb\u30af\uff08$L_{d}L_{q}$\u2460\uff09\uff0cFEA\u7d50\u679c\uff08FEA\uff09\u3068\u5b9f\u6e2c\u7d50\u679c\uff08Measurement\uff09\u3068\u6bd4\u8f03\u3057\u305f\u5e73\u5747\u30c8\u30eb\u30af\u3092\u56f32\u306b\u793a\u3057\u307e\u3059\u3002\u3053\u308c\u3088\u308a\uff0cFrozen permeability\u6cd5\u3092\u7528\u3044\u3066\u7b97\u51fa\u3057\u305f\u3082\u306e\u306e\u65b9\u304cFEA\u7d50\u679c\u306b\u8fd1\u3044\u7d50\u679c\u304c\u5f97\u3089\u308c\u3066\u3044\u308b\u3053\u3068\u304c\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002\u305f\u3060\u3057\uff0c$\\psi_{m}$\u306e\u307f\u3092\u5909\u66f4\u3057\u305f\u5834\u5408\uff08$L_{d}L_{q}$\u2461-1\uff09\u306f\u307e\u3060\u5dee\u304c\u5927\u304d\u304f\uff0c$L_d$, $L_q$\u3082\u5909\u66f4\u3057\u305f\u5834\u5408\uff08$L_{d}L_{q}$\u2461-2\uff09\u306f\uff0cFEA\u7d50\u679c\u3068\u975e\u5e38\u306b\u3088\u304f\u4e00\u81f4\u3057\u3066\u3044\u307e\u3059\u304c\uff0c\u3053\u308c\u306f\u30c8\u30eb\u30af\u306e\u7b2c\u4e00\u5f0f\u306edq\u8ef8\u78c1\u675f\u3092\u7528\u3044\u305f\u3082\u306e\u3068\u7b49\u4fa1\u3068\u306a\u308a\u307e\u3059\u3002\u3053\u306e\u3088\u3046\u306b\uff0c\u30c8\u30eb\u30af\u306e\u6210\u5206\u5206\u6790\u3082\u53ef\u80fd\u3067\u3042\u308b\u3053\u3068\u304b\u3089\uff0c\u8a2d\u8a08\u306e\u6539\u5584\u6307\u6a19\u3068\u3057\u3066\u50be\u5411\u3092\u628a\u63e1\u3059\u308b\u306e\u306b\u6709\u7528\u306a\u65b9\u6cd5\u3067\u3042\u308b\u3068\u601d\u308f\u308c\u307e\u3059\u3002<\/p>\n<div class=\"img col1\">\n<div>\n        <a href=\"\/product\/EMSolution\/wp-content\/uploads\/FrozenPermeability02.png\" class=\"modal\"><img decoding=\"async\" src=\"\/product\/EMSolution\/wp-content\/uploads\/FrozenPermeability02.png\" alt=\"\" \/><\/a><\/p>\n<p style=\"text-align:center\">Fig.2 D1\u30e2\u30c7\u30eb \u5e73\u5747\u30c8\u30eb\u30af \u7b97\u51fa\u65b9\u6cd5\u306e\u6bd4\u8f03\uff084.4Arms, $\\beta$ = 20deg.\uff09<\/p>\n<\/p><\/div>\n<\/div>\n<p>\u4ee5\u4e0a\u7c21\u5358\u3067\u3059\u304c\uff0cFrozen permeability\u6cd5\u3092\u4f7f\u7528\u3057\u305f\u5206\u6790\u65b9\u6cd5\u306b\u3064\u3044\u3066\u7d39\u4ecb\u3057\u307e\u3057\u305f\u3002Frozen permeability\u6cd5\u3092\u7528\u3044\u305f\u30c8\u30eb\u30af\u6210\u5206\u306e\u8a73\u7d30\u306a\u5206\u6790\u306f\uff0c\u4ee5\u4e0b\u306e\u8ad6\u6587\u3067\u8a73\u3057\u304f\u8aac\u660e\u3055\u308c\u3066\u3044\u307e\u3059\u306e\u3067\uff0c\u3054\u8208\u5473\u306e\u3042\u308b\u65b9\u306f\u53c2\u7167\u3044\u305f\u3060\u3051\u308c\u3070\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n<h4>\u53c2\u8003\u6587\u732e<\/h4>\n<p>\u9996\u85e4\u5927\u8f14\u30fb\u9ad9\u6a4b\u5eb7\u4eba\u30fb\u85e4\u539f\u8015\u4e8c\uff1a<br \/>\nFrozen Permeability\u6cd5\u3092\u7528\u3044\u305f\u6c38\u4e45\u78c1\u77f3\u540c\u671f\u30e2\u30fc\u30bf\u306e\u767a\u751f\u8981\u56e0\u5225\u30c8\u30eb\u30af\u5206\u96e2\u306b\u95a2\u3059\u308b\u4e00\u8003\u5bdf\u300d, <br \/>\n\u96fb\u5b66\u9759\u6b62\u5668\u30fb\u56de\u8ee2\u6a5f\u5408\u540c\u7814\u8cc7, SA-18-81, RM-18-100, pp. 67-72 (2018)<\/p>\n<p><!--more--><\/p>\n<h3>\u4f7f\u7528\u6cd5<\/h3>\n<p>\u4f7f\u7528\u65b9\u6cd5\u306f\uff0c\u4e00\u5ea6\u975e\u7dda\u5f62\u78c1\u5316\u7279\u6027\u3092\u8003\u616e\u3057\u305f\u89e3\u6790\u3092\u884c\u3044\uff0c\u5f97\u3089\u308c\u305fsolutions\u30d5\u30a1\u30a4\u30eb\u3092old_solutions\u3068\u30ea\u30cd\u30fc\u30e0\u3057\u3066Frozen permeability\u6cd5\u3067\u306e\u30ea\u30b9\u30bf\u30fc\u30c8\u89e3\u6790\u3092\u884c\u3044\u307e\u3059\u3002<br \/>\n\u95a2\u9023\u30d1\u30e9\u30e1\u30fc\u30bf\u306f\u4ee5\u4e0b\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>NON_LINEAR\uff1a=3\uff1aFrozen permeability\u6cd5\u3092\u4f7f\u7528<\/p>\n<p class=\"slideText\"><span>* STATIC * STEP * AC * TRANSIENT * DISPLACEMENT <font color=\"Red\">* NON_LINEAR *<\/font> TEMP_DEPEND * STEADY_CURRENT *<\/span><br \/>\n<span>          1           0        0                0                      2                               <font color=\"Red\">3<\/font>                         0                             0<\/span>\n<\/p>\n<p>\u30ea\u30b9\u30bf\u30fc\u30c8\u89e3\u6790\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u306f\uff0c<a href=\"\/product\/EMSolution\/case\/restart_with_chenge_convergence_condition\/\" target=\"_blank\" rel=\"noopener noreferrer\"><font color=\"Red\">&#8220;\u53ce\u675f\u6761\u4ef6\u5909\u66f4\u306e\u30ea\u30b9\u30bf\u30fc\u30c8\u89e3\u6790&#8221;<\/font><\/a>\u3068\u540c\u3058\u3067\u3059\u3002<br \/>\n\u30fbINITIAL_STEP\uff1aold_solutions\u30d5\u30a1\u30a4\u30eb\u306e\u6700\u521d\u306e\u8aad\u307f\u8fbc\u307f\u30b9\u30c6\u30c3\u30d7\u756a\u53f7<br \/>\n\u30fbDATA_TYPE\uff1a=3\uff1aold_solutions\u306e\u7d50\u679c\u3092\u8a08\u7b97\u30b9\u30c6\u30c3\u30d7\u306e\u521d\u671f\u5024\u3068\u3057\u3066\u4f7f\u7528<\/p>\n<p class=\"slideText\"><span><font color=\"Red\">* INITIAL_STEP * DATA_TYPE *<\/font> INITIAL_PHASE * MULTI *<\/span><br \/>\n<span><font color=\"Red\">              1                       3<\/font>                         0                      0<\/span>\n<\/p>\n<h3>\u30c0\u30a6\u30f3\u30ed\u30fc\u30c9<\/h3>\n<p><button type=\"button\" class=\"btn btn-danger btn-lg\"><a href=\"https:\/\/www.ssil.co.jp\/product\/EMSolution\/wp-content\/uploads\/FrozenPermeability.zip\">\u30b5\u30f3\u30d7\u30eb\u30c7\u30fc\u30bfDL<\/a><\/button><\/p>\n<ul>\n<li>input2D_static4.4A20deg_p2.ems  \uff1ainput\u30d5\u30a1\u30a4\u30eb(\u9759\u78c1\u5834\u89e3\u6790)<\/li>\n<li>input2D_FP_4.4A20deg_p2.ems  \uff1ainput\u30d5\u30a1\u30a4\u30eb(\u30ea\u30b9\u30bf\u30fc\u30c8\u89e3\u6790)<\/li>\n<li>pre_geom2D.neu  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