{"id":11581,"date":"2025-03-25T04:40:04","date_gmt":"2025-03-25T04:40:04","guid":{"rendered":"https:\/\/modelon.com\/ja\/blog\/hybrid-modeling-with-a-reduced-order-model-and-neural-network-app\/"},"modified":"2025-03-25T06:33:26","modified_gmt":"2025-03-25T06:33:26","slug":"hybrid-modeling-with-a-reduced-order-model-and-neural-network-app","status":"publish","type":"post","link":"https:\/\/modelon.com\/ja\/blog\/hybrid-modeling-with-a-reduced-order-model-and-neural-network-app\/","title":{"rendered":"\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u30e2\u30c7\u30ea\u30f3\u30b0\u3068\u4f4e\u6b21\u5143\u5316\u30e2\u30c7\u30eb\u304a\u3088\u3073\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u30a2\u30d7\u30ea"},"content":{"rendered":"\n<p>\u7269\u7406\u30e2\u30c7\u30ea\u30f3\u30b0\u306f\u3001\u4e88\u6e2c\u80fd\u529b\u3068\u57fa\u672c\u7684\u306a\u7269\u7406\u6cd5\u5247\u306b\u57fa\u3065\u304f\u30b7\u30b9\u30c6\u30e0\u6319\u52d5\u306e\u6df1\u3044\u7406\u89e3\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u3001\u3088\u308a\u4f4e\u3044\u8a08\u7b97\u30b3\u30b9\u30c8\u3084\u3088\u308a\u9ad8\u901f\u306a\u51e6\u7406\u306e\u5b9f\u73fe\u304c\u671b\u307e\u3057\u3044\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u3088\u3046\u306a\u30e6\u30fc\u30b9\u30b1\u30fc\u30b9\u3067\u306f\u3001\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u30e2\u30c7\u30ea\u30f3\u30b0\u304c\u5f79\u7acb\u3061\u307e\u3059\u3002\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u30e2\u30c7\u30ea\u30f3\u30b0\u3068\u306f\u3001\u7269\u7406\u30d9\u30fc\u30b9\u306e\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u3084\u30c7\u30fc\u30bf\u99c6\u52d5\u578b\u6280\u8853\u306a\u3069\u3001\u7570\u306a\u308b\u7279\u6027\u3092\u6301\u3064\u30e2\u30c7\u30eb\u3092\u7d44\u307f\u5408\u308f\u305b\u308b\u624b\u6cd5\u3067\u3059\u3002 \u4f4e\u6b21\u5143\u5316\u30e2\u30c7\u30ea\u30f3\u30b0\u306f\u3001\u3053\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u306b\u304a\u3044\u3066\u91cd\u8981\u306a\u5f79\u5272\u3092\u679c\u305f\u3057\u307e\u3059\u3002\u8907\u96d1\u306a\u30e2\u30c7\u30eb\u3092\u7c21\u7565\u5316\u3057\u306a\u304c\u3089\u7cbe\u5ea6\u3092\u7dad\u6301\u3057\u3001\u3088\u308a\u9ad8\u901f\u306a\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3068\u30ea\u30a2\u30eb\u30bf\u30a4\u30e0\u306e\u6700\u9069\u5316\u3092\u53ef\u80fd\u306b\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-\u3088\u308a\u30b9\u30de\u30fc\u30c8\u306a\u8eca\u4e21\u306e\u305f\u3081\u306e\u9069\u5207\u306a\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u30e2\u30c7\u30eb-phymos-\u30d7\u30ed\u30b8\u30a7\u30af\u30c8\u306e\u7d39\u4ecb\">\u3088\u308a\u30b9\u30de\u30fc\u30c8\u306a\u8eca\u4e21\u306e\u305f\u3081\u306e\u9069\u5207\u306a\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u30e2\u30c7\u30eb\uff08PHyMoS\uff09\u30d7\u30ed\u30b8\u30a7\u30af\u30c8\u306e\u7d39\u4ecb<\/h3>\n\n\n\n<p>\u5e78\u904b\u306b\u3082\u904e\u53bb3\u5e74\u9593\u3001\u30e2\u30c7\u30ed\u30f3\u306f\u30c9\u30a4\u30c4\u653f\u5e9c\u51fa\u8cc7\u306e\u7814\u7a76\u30d7\u30ed\u30b8\u30a7\u30af\u30c8\u306b\u643a\u308f\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002\u3053\u306e\u30d7\u30ed\u30b8\u30a7\u30af\u30c8\u306f<a href=\"https:\/\/phymos.de\/page\/publications\/\"><em>PHyMoS<\/em><\/a>\u3068\u547c\u3070\u308c\u3001<em>Proper Hybrid Models for Smarter Vehicles<\/em>\uff08\u3088\u308a\u30b9\u30de\u30fc\u30c8\u306a\u8eca\u4e21\u306e\u305f\u3081\u306e\u9069\u5207\u306a\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u30e2\u30c7\u30eb\uff09\u306e\u7565\u3067\u3059\u3002\u3053\u306e\u30d7\u30ed\u30b8\u30a7\u30af\u30c8\u3067\u306f\u3001\u4ed6\u306e\u696d\u754c\u304a\u3088\u3073\u7814\u7a76\u30d1\u30fc\u30c8\u30ca\u30fc\u3068\u5354\u529b\u3057\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u79c1\u305f\u3061\u306f\u3001\u4eba\u5de5\u77e5\u80fd\u3092\u4f7f\u7528\u3057\u3066\u30c7\u30fc\u30bf\u99c6\u52d5\u578b\u306e\u30e2\u30c7\u30eb\u3092\u4f5c\u6210\u3059\u308b\u65b9\u6cd5\u3092\u691c\u8a0e\u3057\u3001\u3044\u304f\u3064\u304b\u306e\u7570\u306a\u308b\u30e6\u30fc\u30b9\u30b1\u30fc\u30b9\u306b\u7126\u70b9\u3092\u5f53\u3066\u307e\u3057\u305f\u3002\u7269\u7406\u30d9\u30fc\u30b9\u306e\u30e2\u30c7\u30ea\u30f3\u30b0\u306b\u3088\u308a\u3001\u3053\u308c\u3089\u306e\u30e2\u30c7\u30eb\u306e\u30c7\u30fc\u30bf\u304c\u63d0\u4f9b\u3055\u308c\u307e\u3057\u305f\u3002\u3053\u306e\u30d7\u30ed\u30b8\u30a7\u30af\u30c8\u306f\u3001\u6b63\u78ba\u6027\u3068\u624b\u4f5c\u696d\u306e\u52b4\u529b\u3068\u306e\u6700\u9069\u306a\u30d0\u30e9\u30f3\u30b9\u3092\u898b\u51fa\u3059\u3053\u3068\u3092\u76ee\u7684\u3068\u3057\u3066\u3044\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image alignright size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/modelon.com\/wp-content\/uploads\/2025\/03\/PhymosGroupMunich.jpeg\" alt=\"\" class=\"wp-image-13249\" style=\"width:306px;height:auto\"\/><figcaption class=\"wp-element-caption\"><em>Group photo of PHyMoS partners at the final meeting in Munich<\/em>&nbsp;&nbsp;<\/figcaption><\/figure>\n\n\n\n<p>\u30d7\u30ed\u30b8\u30a7\u30af\u30c8\u306e\u6210\u679c\u306e\u4e00\u90e8\u3068\u3057\u3066\u3001\u30e2\u30c7\u30ed\u30f3\u306f\u9078\u629e\u3057\u305f\uff08\u30b5\u30d6\uff09\u30b7\u30b9\u30c6\u30e0\u3068\u4e3b\u8981\u5909\u6570\u306b\u57fa\u3065\u304f\u4f4e\u6b21\u5143\u5316\u30e2\u30c7\u30eb\u306eModelica\u30e2\u30c7\u30eb\u3092\u751f\u6210\u3059\u308b\u305f\u3081\u306b\u3001<a href=\"https:\/\/modelon.com\/modelon-impact\/\">Modelon Impact<\/a>\u306e\u4e00\u90e8\u81ea\u52d5\u5316\u3055\u308c\u305f\u30ef\u30fc\u30af\u30d5\u30ed\u30fc\u3092\u5b9f\u6f14\u3057\u307e\u3057\u305f\u3002\u6b21\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u3067\u306f\u3001\u81ea\u52d5\u8eca\u7528\u71c3\u6599\u96fb\u6c60\u30b7\u30b9\u30c6\u30e0\u30e2\u30c7\u30eb\u306e\u4f8b\u3092\u7528\u3044\u3066\u3001\u3053\u306e\u30b9\u30c6\u30c3\u30d7\u3092\u9806\u3092\u8ffd\u3063\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-modelon-impact\u306b\u304a\u3051\u308b\u4f4e\u6b21\u5143\u5316\u30e2\u30c7\u30ea\u30f3\u30b0\u306e\u30ef\u30fc\u30af\u30d5\u30ed\u30fc\">Modelon Impact\u306b\u304a\u3051\u308b\u4f4e\u6b21\u5143\u5316\u30e2\u30c7\u30ea\u30f3\u30b0\u306e\u30ef\u30fc\u30af\u30d5\u30ed\u30fc<\/h3>\n\n\n\n<p>\u4f4e\u6b21\u5143\u5316\u30e2\u30c7\u30ea\u30f3\u30b0\u306f\u3001\u5b9a\u7fa9\u3055\u308c\u305f\u52d5\u4f5c\u7bc4\u56f2\u5185\u3067\u306e\u7cbe\u5ea6\u3092\u640d\u306a\u3046\u3053\u3068\u306a\u304f\u3001\u3088\u308a\u9ad8\u901f\u306a\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3092\u53ef\u80fd\u306b\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u3001PHyMoS\u30d7\u30ed\u30b8\u30a7\u30af\u30c8\u306b\u3068\u3063\u3066\u975e\u5e38\u306b\u91cd\u8981\u306a\u3053\u3068\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u8907\u96d1\u306a\u30e2\u30c7\u30eb\u3092\u5358\u7d14\u5316\u3059\u308b\u3053\u3068\u3067\u3001\u4f4e\u6b21\u5143\u5316\u30e2\u30c7\u30ea\u30f3\u30b0\u306f\u30a8\u30f3\u30b8\u30cb\u30a2\u306b\u3088\u308b\u8fc5\u901f\u306a\u8a2d\u8a08\u306e\u53cd\u5fa9\u3001\u611f\u5ea6\u5206\u6790\u3001\u30ea\u30a2\u30eb\u30bf\u30a4\u30e0\u306e\u6700\u9069\u5316\u3092\u53ef\u80fd\u306b\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u4e88\u6e2c\u306e\u4fe1\u983c\u6027\u3092\u7dad\u6301\u3057\u306a\u304c\u3089\u8a08\u7b97\u8ca0\u8377\u3092\u5408\u7406\u5316\u3067\u304d\u308b\u305f\u3081\u3001\u30c7\u30fc\u30bf\u99c6\u52d5\u578b\u306e\u6280\u8853\u3092\u7d71\u5408\u3059\u308b\u969b\u306b\u7279\u306b\u6709\u76ca\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u5f53\u793e\u306e\u30ef\u30fc\u30af\u30d5\u30ed\u30fc\u306f\u3001\u4e3b\u306b\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3092\u6d3b\u7528\u3057\u305f\u30c7\u30fc\u30bf\u4e3b\u5c0e\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u3067\u30e2\u30c7\u30eb\u3092\u7c21\u7d20\u5316\u3059\u308b\u4f4e\u6b21\u5143\u5316\u30e2\u30c7\u30ea\u30f3\u30b0\u6280\u8853\u3068\u898b\u306a\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u3092\u30b5\u30dd\u30fc\u30c8\u3059\u308b\u305f\u3081\u306b\u3001\u5f53\u793e\u306fJupyter Notebook\u3068\u3057\u3066Python\u3067\u8a18\u8ff0\u3057\u305f\u30ab\u30b9\u30bf\u30e0\u30a2\u30d7\u30ea\u3092\u958b\u767a\u3057\u3001Voila\u3092\u901a\u3058\u3066\u30ec\u30f3\u30c0\u30ea\u30f3\u30b0\u3059\u308b\u3053\u3068\u3067\u3001\u76f4\u611f\u7684\u306a\u30a6\u30a3\u30b8\u30a7\u30c3\u30c8\u3092\u5099\u3048\u305f\u4f7f\u3044\u3084\u3059\u3044\u30e6\u30fc\u30b6\u30fc\u30d5\u30ec\u30f3\u30c9\u30ea\u30fc\u306a\u30a4\u30f3\u30bf\u30fc\u30d5\u30a7\u30fc\u30b9\u3092\u63d0\u4f9b\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/modelon.com\/wp-content\/uploads\/2025\/03\/Neural-Network-App-GUI-overview.jpeg\" alt=\"\" class=\"wp-image-13250\" style=\"width:425px;height:auto\"\/><figcaption class=\"wp-element-caption\"><em><em>\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u306eGUI\u306e\u6982\u8981<\/em><\/em><\/figcaption><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-\u7c21\u7565\u5316\u3059\u308b-\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u306e\u9078\u629e\">\u300c<em>\u7c21\u7565\u5316\u3059\u308b<\/em>\u300d\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u306e\u9078\u629e<\/h3>\n\n\n\n<p>\u307e\u305a\u3001\u4f7f\u7528\u3059\u308b\u30b5\u30d6\u30b7\u30b9\u30c6\u30e0\/\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u3092\u9078\u629e\u3057\u307e\u3059\u3002\u4f4e\u6b21\u5143\u5316\u30e2\u30c7\u30eb\u306e\u6280\u8853\u3067\u306f\u3001\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u6642\u9593\u3092\u77ed\u7e2e\u3057\u306a\u304c\u3089\u3001\u30b5\u30d6\u30b7\u30b9\u30c6\u30e0\/\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u306e\u52d5\u4f5c\u3092\u3042\u3089\u304b\u3058\u3081\u6c7a\u5b9a\u3055\u308c\u305f\u52d5\u4f5c\u7bc4\u56f2\u5185\u306b\u4fdd\u6301\u3057\u307e\u3059\u3002\u4e0b\u306e\u4f8b\u3067\u306f\u3001\u96fb\u6c17\u81ea\u52d5\u8eca\u306e\u904b\u8ee2\u30b5\u30a4\u30af\u30eb\u306e\u30b7\u30b9\u30c6\u30e0\u30e2\u30c7\u30eb\u304c\u3042\u308a\u3001\u3053\u306e\u30b1\u30fc\u30b9\u3067\u306f\u71c3\u6599\u96fb\u6c60\u30e2\u30b8\u30e5\u30fc\u30eb\u3092\u7c21\u7565\u5316\u3057\u305f\u3044\u3068\u3057\u307e\u3059\u3002\u96fb\u529b\u8ca0\u8377\u3001\u5468\u56f2\u5727\u529b\u3001\u6e29\u5ea6\u304c\u6c34\u7d20\u6d88\u8cbb\u306b\u3069\u306e\u3088\u3046\u306b\u5f71\u97ff\u3059\u308b\u304b\u306b\u8208\u5473\u304c\u3042\u308b\u3068\u4eee\u5b9a\u3057\u3001\u3057\u305f\u304c\u3063\u3066\u3001\u5e7e\u4f55\u5b66\u3001\u71b1\u4f1d\u5c0e\u306a\u3069\u306e\u8907\u96d1\u6027\u3092\u6392\u9664\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/modelon.com\/wp-content\/uploads\/2025\/03\/Fuel-Cell-Module.jpeg\" alt=\"\" class=\"wp-image-13252\" style=\"width:528px;height:auto\"\/><figcaption class=\"wp-element-caption\"><em><em>\u4f4e\u6b21\u5143\u5316\u30e2\u30c7\u30eb\u306b\u9078\u3070\u308c\u305f\u71c3\u6599\u96fb\u6c60\u30e2\u30b8\u30e5\u30fc\u30eb<\/em><\/em><\/figcaption><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0\u7528\u30c7\u30fc\u30bf\u751f\u6210\">\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0\u7528\u30c7\u30fc\u30bf\u751f\u6210<\/h3>\n\n\n\n<p>\u71c3\u6599\u96fb\u6c60\u30e2\u30b8\u30e5\u30fc\u30eb\u306e\u4e3b\u8981\u306a\u5165\u51fa\u529b\u304c\u7279\u5b9a\u3055\u308c\u305f\u5f8c\u3001\u9078\u629e\u3055\u308c\u305f\u4e3b\u8981\u5909\u6570\u3092\u516c\u958b\u3057\u3001\u30d0\u30c3\u30c1\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u306b\u3088\u3063\u3066\u3053\u306e\u7269\u7406\u30e2\u30c7\u30eb\u304b\u3089\u30c7\u30fc\u30bf\u3092\u751f\u6210\u3059\u308b\u305f\u3081\u306e\u30c6\u30b9\u30c8\u30d9\u30f3\u30c1\u3092\u7528\u610f\u3059\u308b\u305f\u3081\u306b\u3001\u305d\u306e\u5468\u308a\u306b\u624b\u52d5\u30e9\u30c3\u30d1\u30fc\u3092\u4f5c\u6210\u3057\u307e\u3059\u3002\u3053\u306e\u30c7\u30fc\u30bf\u306f\u3001\u305d\u306e\u5f8c\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u30e2\u30c7\u30eb\u306e\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u9069\u5207\u306a\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0\u306b\u306f\u3001\u81a8\u5927\u306a\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u30c7\u30fc\u30bf\u304c\u5fc5\u8981\u3067\u3059\u3002\u3053\u306e\u958b\u767a\u30d7\u30ed\u30bb\u30b9\u3067\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u30c7\u30fc\u30bf\u3092\u6d3b\u7528\u3057\u3001\u624b\u52d5\u30e1\u30c3\u30b7\u30f3\u30b0\u3084\u30bd\u30eb\u30d0\u30fc\u306e\u5b9f\u884c\u6642\u9593\u306e\u9577\u3055\u3068\u3044\u3063\u305f\u30dc\u30c8\u30eb\u30cd\u30c3\u30af\u3092\u6392\u9664\u3059\u308b\u3053\u3068\u3067\u3001\u9ad8\u54c1\u8cea\u306a\u30c7\u30fc\u30bf\u306e\u6d41\u308c\u3092\u63d0\u4f9b\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u306b\u3088\u308a\u3001\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0\u3092\u52a0\u901f\u3057\u3001\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u30e2\u30c7\u30ea\u30f3\u30b0\u30a2\u30d7\u30ed\u30fc\u30c1\u306e\u6f5c\u5728\u80fd\u529b\u3092\u6700\u5927\u9650\u306b\u5f15\u304d\u51fa\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u4e0b\u306e\u56f3\u306f\u3001\u4e0e\u3048\u3089\u308c\u305f\u7bc4\u56f2\u5185\u3067\u5165\u529b\u3092\u6383\u5f15\u3057\u306a\u304c\u3089100\u56de\u306e\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3092\u884c\u3063\u305f\u7d50\u679c\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<br>Target power: 100kW to 150kW\u00a0\u00a0<br>Ambient temperature: 293K to 303K\u00a0\u00a0<br>Ambient pressure: 1 bar to 1.1 bar<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/modelon.com\/wp-content\/uploads\/2025\/03\/Physical-data-on-fuel-flow.jpeg\" alt=\"\" class=\"wp-image-13253\"\/><figcaption class=\"wp-element-caption\"><em>\u71c3\u6599\u6d41\u91cf\u304c\u96fb\u529b\u8a2d\u5b9a\u5024\u3068\u5468\u56f2\u6e29\u5ea6\u304a\u3088\u3073\u6c17\u5727\u306b\u3088\u3063\u3066\u3069\u306e\u3088\u3046\u306b\u5f71\u97ff\u3092\u53d7\u3051\u308b\u304b\u306b\u95a2\u3059\u308b\u7269\u7406\u30c7\u30fc\u30bf<\/em><\/figcaption><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u30e2\u30c7\u30eb\">\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u30e2\u30c7\u30eb<\/h3>\n\n\n\n<p>\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u30e2\u30c7\u30eb\u306e\u4f5c\u6210\u306b\u306f2\u3064\u306e\u30b9\u30c6\u30c3\u30d7\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u307e\u305a\u3001\u30ab\u30b9\u30bf\u30e0\u30a2\u30d7\u30ea\u3067\u306f<a href=\"https:\/\/www.tensorflow.org\/guide\/keras\">TensorFlow\/Keras<\/a>\u30d1\u30c3\u30b1\u30fc\u30b8\u3092\u4f7f\u7528\u3057\u3066\u3001<a href=\"https:\/\/www.geeksforgeeks.org\/feedforward-neural-network\/\">\u30d5\u30a3\u30fc\u30c9\u30d5\u30a9\u30ef\u30fc\u30c9\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af<\/a>\uff08FFNN\uff09\u69cb\u9020\u3092\u4f5c\u6210\u3057\u307e\u3059\u3002\u30e6\u30fc\u30b6\u30fc\u306f\u3001\u5c64\u6570\u3001\u5404\u5c64\u306b\u304a\u3051\u308b\u30cb\u30e5\u30fc\u30ed\u30f3\u6570\u3001\u4f7f\u7528\u3059\u308b\u6d3b\u6027\u5316\u95a2\u6570\u3092\u8abf\u6574\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u69cb\u9020\u304c\u6e96\u5099\u3067\u304d\u305f\u3089\u3001\u30a2\u30d7\u30ea\u306f\u4ee5\u524d\u306e\u7269\u7406\u30c7\u30fc\u30bf\u3092\u4f7f\u7528\u3057\u3066\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3092\u8a13\u7df4\u3057\u3001\u30e2\u30c7\u30eb\u306e\u52d5\u4f5c\u3092\u6c7a\u5b9a\u3059\u308b<em>\u91cd\u307f<\/em>\u304a\u3088\u3073<em>\u30d0\u30a4\u30a2\u30b9<\/em>\u3092\u751f\u6210\u3057\u307e\u3059\u3002\u4ee5\u4e0b\u306e\u56f3\u306f\u3001\u7269\u7406\u30e2\u30c7\u30eb\u306e\u51fa\u529b\u306b\u5bfe\u3059\u308b\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u4e88\u6e2c\u3092\u793a\u3057\u3066\u3044\u307e\u3059\uff08\u8868\u793a\u3055\u308c\u3066\u3044\u308b\u5024\u306f\u6b63\u898f\u5316\u3055\u308c\u305f\u5024\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\uff09\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/modelon.com\/wp-content\/uploads\/2025\/03\/Normalized_TargetPower.jpeg\" alt=\"\" class=\"wp-image-13255\" style=\"width:443px;height:auto\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/modelon.com\/wp-content\/uploads\/2025\/03\/Normalized-T_ambient.jpeg\" alt=\"\" class=\"wp-image-13256\" style=\"width:463px;height:auto\"\/><figcaption class=\"wp-element-caption\"><em><em>\u30d1\u30ef\u30fc\u8a2d\u5b9a\u5024\u3068\u5468\u56f2\u6e29\u5ea6\u306b\u57fa\u3065\u304f\u71c3\u6599\u6d41\u91cf\u306e\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u4e88\u6e2c<\/em><\/em><\/figcaption><\/figure>\n\n\n\n<p>\u6b21\u306b\u3001\u751f\u6210\u3055\u308c\u305f\u91cd\u307f\u3068\u30d0\u30a4\u30a2\u30b9\u5024\u3092\u8ee2\u9001\u3057\u3001\u30aa\u30fc\u30d7\u30f3\u30bd\u30fc\u30b9\u306e<a href=\"https:\/\/github.com\/AMIT-HSBI\/NeuralNetwork\">NeuralNetwork<\/a>\u30e9\u30a4\u30d6\u30e9\u30ea\u304b\u3089\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u3092\u4f7f\u7528\u3057\u3066Modelica\u30d9\u30fc\u30b9\u306e\u30e2\u30c7\u30eb\u306b\u30d1\u30c3\u30b1\u30fc\u30b8\u5316\u3057\u307e\u3059\u3002\u4ee5\u4e0b\u306e\u56f3\u306f\u3001\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u71c3\u6599\u96fb\u6c60\u30e2\u30c7\u30eb\u304c\u30aa\u30ea\u30b8\u30ca\u30eb\u306e\u30e2\u30b8\u30e5\u30fc\u30eb\u306b\u5bfe\u3057\u3066\u3069\u306e\u3088\u3046\u306b\u691c\u8a3c\u3055\u308c\u305f\u304b\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002T=1000s\u306e\u671f\u9593\u306b\u308f\u305f\u3063\u3066\u540c\u3058\u96fb\u529b\u8a2d\u5b9a\u5024\u3068\u5468\u56f2\u6761\u4ef6\u306e\u5909\u52d5\u304c\u4e0e\u3048\u3089\u308c\u305f\u5834\u5408\u3001\u6c34\u7d20\u6d88\u8cbb\u91cf\u304c\u63a8\u5b9a\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/modelon.com\/wp-content\/uploads\/2025\/03\/Test-bench-model-1.jpeg\" alt=\"\" class=\"wp-image-13257\" style=\"width:500px;height:auto\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/modelon.com\/wp-content\/uploads\/2025\/03\/image.png\" alt=\"\" class=\"wp-image-13258\" style=\"width:543px;height:auto\"\/><figcaption class=\"wp-element-caption\"><em><em>\u7269\u7406\u7684\u306a\u71c3\u6599\u96fb\u6c60\u30e2\u30b8\u30e5\u30fc\u30eb\u306b\u5bfe\u3059\u308b\u30c6\u30b9\u30c8\u30d9\u30f3\u30c1\u306e\u691c\u8a3c<\/em><\/em><\/figcaption><\/figure>\n\n\n\n<p>\u4e0a\u8a18\u306e\u30b7\u30f3\u30d7\u30eb\u306a\u30c6\u30b9\u30c8\u30d9\u30f3\u30c1\u3067\u306f\u3001\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u6642\u9593\u304c29.18\u79d2\u304b\u30890.047\u79d2\u3078\u3068\u5927\u5e45\u306b\u77ed\u7e2e\u3055\u308c\u307e\u3057\u305f\u3002\u30d7\u30ed\u30c3\u30c8\u3055\u308c\u305f\u4e3b\u306a\u51fa\u529b\u3067\u3042\u308b\u6c34\u7d20\u8cea\u91cf\u6d41\u91cf\u306f\u3001\u540c\u69d8\u306e\u5024\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002\u521d\u671f\u5316\u6bb5\u968e\u3068\u3001\u8a2d\u5b9a\u96fb\u529b\u306e\u5909\u66f4\u306b\u3088\u308b\u71c3\u6599\u96fb\u6c60\u306e\u52d5\u7684\u5fdc\u7b54\u306b\u8d77\u56e0\u3059\u308b\u82e5\u5e72\u306e\u76f8\u9055\u304c\u898b\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u624b\u6cd5\u306e\u3055\u3089\u306a\u308b\u5fdc\u7528\">\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u624b\u6cd5\u306e\u3055\u3089\u306a\u308b\u5fdc\u7528<\/h3>\n\n\n\n<p>\u30d7\u30ed\u30b8\u30a7\u30af\u30c8\u4e2d\u3001\u71b1\u4ea4\u63db\u5668\u306a\u3069\u306e\u4ed6\u306e\u90e8\u5206\u306b\u3082\u3053\u306e\u7d71\u5408\u30ef\u30fc\u30af\u30d5\u30ed\u30fc\u3092\u4f7f\u7528\u3057\u307e\u3057\u305f\u3002\u5168\u4f53\u3068\u3057\u3066\u3001\u8a31\u5bb9\u53ef\u80fd\u306a\u7cbe\u5ea6\u3092\u7dad\u6301\u3057\u306a\u304c\u3089\u3001\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u309229.13\u79d2\u6539\u5584\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u30c6\u30b9\u30c8\u30d9\u30f3\u30c1\u3067\u306f\u3001\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u6642\u9593\u304c99.8%\u524a\u6e1b\u3055\u308c\u300129.18\u79d2\u304b\u3089\u308f\u305a\u304b0.047\u79d2\u306b\u306a\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u30ab\u30b9\u30bf\u30e0\u30a2\u30d7\u30ea\u306e\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u624b\u6cd5\u306f\u3001\u3088\u308a\u5927\u304d\u306a\u958b\u767a\u53ef\u80fd\u6027\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002 \u52d5\u7684\u6319\u52d5\u3092\u3088\u308a\u6b63\u78ba\u306b\u6349\u3048\u308b\u305f\u3081\u306b\u3001\u4ed6\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3084\u30d5\u30ec\u30fc\u30e0\u30ef\u30fc\u30af\u3092\u691c\u8a0e\u3059\u308b\u3053\u3068\u3082\u53ef\u80fd\u3067\u3059\u3002\u4f8b\u3048\u3070\u3001\u7269\u7406\u6cd5\u5247\u3092\u5b66\u7fd2\u30d7\u30ed\u30bb\u30b9\u306b\u7d44\u307f\u8fbc\u3080\u3053\u3068\u3092\u53ef\u80fd\u306b\u3059\u308b\u7269\u7406\u60c5\u5831\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\uff08PINN\uff09\u306a\u3069\u3067\u3059\u3002 \u7814\u7a76\u8005\u305f\u3061\u306f\u3001\u4f4e\u6b21\u5143\u5316\u30e2\u30c7\u30ea\u30f3\u30b0\u30d7\u30ed\u30bb\u30b9\u3092\u5b8c\u5168\u306b\u81ea\u52d5\u5316\u3059\u308b\u5c06\u6765\u306e\u53d6\u308a\u7d44\u307f\u3082\u691c\u8a0e\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-thank-you-to-our-partners-in-innovation\">Thank you to our partners in Innovation<\/h3>\n\n\n\n<p>\u672c\u30d7\u30ed\u30b8\u30a7\u30af\u30c8\u306b\u3054\u5354\u529b\u3044\u305f\u3060\u3044\u305f\u7686\u69d8\u306b\u611f\u8b1d\u81f4\u3057\u307e\u3059\u3002<br>&#8211; <a href=\"https:\/\/www.esi-group.com\/company\/worldwide\/germany\">ESI Germany<\/a>\u00a0<br>&#8211; <a href=\"https:\/\/www.ltx.de\/english.html\">LTX Simulation<\/a>\u00a0<br>&#8211; <a href=\"https:\/\/www.bosch.com\/company\/\">The Robert Bosch Group<\/a><br>&#8211; <a href=\"https:\/\/www.tlk-thermo.com\/en\/\">TLK-Thermo<\/a><br>&#8211; <a href=\"https:\/\/xrg-simulation.de\/en\">XRG Simulation<\/a><br>&#8211; <a href=\"https:\/\/www.uni-augsburg.de\/en\/\">University of Augsburg<\/a><br>&#8211; <a href=\"https:\/\/www.tu-braunschweig.de\/en\/\">Technical University of Braunschweig<\/a><br>&#8211; <a href=\"https:\/\/www.hsbi.de\/en\">Bielefeld University of Applied Sciences and Arts<\/a><\/p>\n\n\n\n<p>\u5f7c\u3089\u306e\u8ca2\u732e\u306f\u3001\u6301\u7d9a\u53ef\u80fd\u306a\u30e2\u30d3\u30ea\u30c6\u30a3\u306e\u305f\u3081\u306e\u7269\u7406\u30d9\u30fc\u30b9\u306e\u30e2\u30c7\u30ea\u30f3\u30b0\u3068\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3092\u63a8\u9032\u3057\u307e\u3059\u3002\u3053\u306e\u30d7\u30ed\u30b8\u30a7\u30af\u30c8\u306f\u3001\u3053\u306e\u5206\u91ce\u306b\u304a\u3051\u308b\u753b\u671f\u7684\u306a\u7814\u7a76\u3068\u6280\u8853\u7684\u9032\u6b69\u3092\u63a8\u9032\u3059\u308b\u4e0a\u3067\u91cd\u8981\u306a\u5f79\u5272\u3092\u679c\u305f\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>Related publication:<br><em>H\u00fcbel, Moritz, Nirmala Nirmala, Michael Deligant, and Lixiang Li, 2022. \u201cHybrid physical-AI based system modeling and simulation approach demonstrated on an automotive fuel cell.\u201d, Asian Modelica Conference, pp. 157-163. 2022.\u202f<\/em><a href=\"https:\/\/doi.org\/10.3384\/ecp193157\" target=\"_blank\" rel=\"noreferrer noopener\"><em>https:\/\/doi.org\/10.3384\/ecp193157<\/em><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u7269\u7406\u30e2\u30c7\u30ea\u30f3\u30b0\u306f\u3001\u4e88\u6e2c\u80fd\u529b\u3068\u57fa\u672c\u7684\u306a\u7269\u7406\u6cd5\u5247\u306b\u57fa\u3065\u304f\u30b7\u30b9\u30c6\u30e0\u6319\u52d5\u306e\u6df1\u3044\u7406\u89e3\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u3001\u3088\u308a\u4f4e\u3044\u8a08\u7b97\u30b3\u30b9\u30c8\u3084\u3088\u308a\u9ad8\u901f\u306a\u51e6\u7406\u306e\u5b9f\u73fe\u304c\u671b\u307e\u3057\u3044\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u3088\u3046\u306a\u30e6\u30fc\u30b9\u30b1\u30fc\u30b9\u3067\u306f\u3001\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u30e2\u30c7\u30ea\u30f3\u30b0\u304c\u5f79\u7acb\u3061\u307e\u3059\u3002\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u30e2\u30c7\u30ea\u30f3\u30b0\u3068\u306f\u3001\u7269\u7406\u30d9\u30fc\u30b9\u306e\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u3084\u30c7\u30fc\u30bf\u99c6\u52d5\u578b\u6280\u8853\u306a\u3069\u3001\u7570\u306a\u308b\u7279\u6027\u3092\u6301\u3064\u30e2\u30c7\u30eb\u3092\u7d44\u307f\u5408\u308f\u305b\u308b\u624b\u6cd5\u3067\u3059\u3002 \u4f4e\u6b21\u5143\u5316\u30e2\u30c7\u30ea\u30f3\u30b0\u306f\u3001\u3053\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u306b\u304a\u3044\u3066\u91cd\u8981\u306a\u5f79\u5272\u3092\u679c\u305f\u3057\u307e\u3059\u3002\u8907\u96d1\u306a\u30e2\u30c7\u30eb\u3092\u7c21\u7565\u5316\u3057\u306a\u304c\u3089\u7cbe\u5ea6\u3092\u7dad\u6301\u3057\u3001\u3088\u308a\u9ad8\u901f\u306a\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3068\u30ea\u30a2\u30eb\u30bf\u30a4\u30e0\u306e\u6700\u9069\u5316\u3092\u53ef\u80fd\u306b\u3057\u307e\u3059\u3002<\/p>\n","protected":false},"author":73,"featured_media":11583,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_relevanssi_hide_post":"","_relevanssi_hide_content":"","_relevanssi_pin_for_all":"","_relevanssi_pin_keywords":"","_relevanssi_unpin_keywords":"","_relevanssi_related_keywords":"","_relevanssi_related_include_ids":"","_relevanssi_related_exclude_ids":"","_relevanssi_related_no_append":"","_relevanssi_related_not_related":"","_relevanssi_related_posts":"4933,5377,10895,4968,5270,5239","_relevanssi_noindex_reason":"","inline_featured_image":false,"editor_notices":[],"footnotes":""},"categories":[1],"tags":[],"class_list":["post-11581","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-uncategorized"],"acf":[],"yoast_head":"<!-- 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