{"id":56008,"date":"2016-12-13T06:30:50","date_gmt":"2016-12-12T22:30:50","guid":{"rendered":"\/\/m.iemloyee.com\/?p=56008"},"modified":"2017-10-17T23:15:45","modified_gmt":"2017-10-17T15:15:45","slug":"%e5%ad%a6%e6%9c%af%e5%b9%b2%e8%b4%a7%e4%b8%a8%e5%b0%91%e4%ba%9b%e5%85%ac%e5%bc%8f%e5%a4%9a%e7%82%b9%e5%ba%94%e7%94%a8-%e4%ba%a4%e6%b5%81%e9%98%bb%e6%8a%97%e8%b0%b1%e7%9a%84%e5%bf%ab","status":"publish","type":"post","link":"\/\/m.iemloyee.com\/?p=56008","title":{"rendered":"\u5b66\u672f\u5e72\u8d27\u4e28\u5c11\u4e9b\u516c\u5f0f\u591a\u70b9\u5e94\u7528\u2014\u2014\u4ea4\u6d41\u963b\u6297\u8c31\u7684\u5feb\u6377\u6253\u5f00\u65b9\u5f0f"},"content":{"rendered":"
\u8bb8\u591a\u7814\u7a76\u7535\u6c60\u7684\u5c0f\u4f19\u4f34\uff0c\u5728\u6700\u5f00\u59cb\u63a5\u89e6\u4ea4\u6d41\u963b\u6297\u76f8\u5173\u77e5\u8bc6\u65f6\uff0c\u53ef\u80fd\u4f1a\u975e\u5e38\u6392\u65a5\u3002\u56e0\u4e3a\u65e0\u8bba\u662f\u5df4\u5fb7\u7684\u300a\u7535\u5316\u5b66\u539f\u7406\u4e0e\u5e94\u7528\u300b\u8fd8\u662f\u66f9\u695a\u5357\u3001\u5f20\u9274\u6e05\u7684\u300a\u7535\u5316\u5b66\u963b\u6297\u8c31\u5bfc\u8bba\u300b\uff0c\u4e66\u4e2d\u90fd\u662f\u901a\u8fc7\u4e25\u8c28\u516c\u5f0f\u63a8\u5bfc\u6765\u8bb2\u8ff0\u7684\u3002\u4eca\u5929\uff0c\u6211\u4eec\u5c06\u5c3d\u91cf\u7684\u907f\u5f00\u516c\u5f0f\uff0c\u5c3d\u53ef\u80fd\u7684\u5206\u6790\u4ea4\u6d41\u963b\u6297\u8c31\u5c24\u5176\u662f\u5176\u5728\u9502\u7535\u6c60\u4e2d\u7684\u5e94\u7528\u3002<\/p>\n
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\u7535\u5316\u5b66\u963b\u6297\u8c31\uff08Electrochemical Impedance Spectroscopy\uff0cEIS\uff09<\/strong><\/span><\/p>\n \u53ca\u7ed9\u7535\u5316\u5b66\u7cfb\u7edf\u65bd\u52a0\u4e00\u4e2a\u9891\u7387\u4e0d\u540c\u7684\u5c0f\u632f\u5e45\u7684\u4ea4\u6d41\u6b63\u5f26\u7535\u52bf\u6ce2\uff0c\u6d4b\u91cf\u4ea4\u6d41\u7535\u52bf\u4e0e\u7535\u6d41\u4fe1\u53f7\u7684\u6bd4\u503c\uff08\u7cfb\u7edf\u7684\u963b\u6297\uff09\u968f\u6b63\u5f26\u6ce2\u9891\u7387\u03c9\u7684\u53d8\u5316\uff0c\u6216\u8005\u662f\u963b\u6297\u7684\u76f8\u4f4d\u89d2f<\/em>\u968f\u03c9\u7684\u53d8\u5316\u3002<\/p>\n 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\u5229\u7528EIS\u53ef\u4ee5\u5206\u6790\u7535\u6781\u8fc7\u7a0b\u52a8\u529b\u5b66\u3001\u53cc\u7535\u5c42\u548c\u6269\u6563\u7b49\uff0c\u53ef\u4ee5\u7814\u7a76\u7535\u6781\u6750\u6599\u3001\u56fa\u4f53\u7535\u89e3\u8d28\u3001\u5bfc\u7535\u9ad8\u5206\u5b50\u4ee5\u53ca\u8150\u8680\u9632\u62a4\u673a\u7406\u7b49\u3002<\/p>\n \u57fa\u672c\u601d\u8def\u2014\u2014\u5c06\u7535\u5316\u5b66\u7cfb\u7edf\u770b\u6210\u7684\u7b49\u6548\u7535\u8def<\/strong><\/span><\/p>\n 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\u4ece\u8fd9\u4e2a\u516c\u5f0f\u51fa\u53d1\uff1aY\/X<\/em>=G<\/em>(\u03c9)\uff0c\u7b80\u800c\u8a00\u4e4b\uff0cX\u662f\u8f93\u5165\u7684\u6270\u52a8\u4fe1\u53f7\uff0cY\u662f\u8f93\u51fa\u4fe1\u53f7\uff0cG\u662f\u7ed3\u679c\uff0c\u4ed6\u4eec\u7684\u9891\u7387\u90fd\u662fw\uff0c\u5982\u679cX\u662f\u7535\u6d41\uff0cY\u662f\u7535\u52bf\uff0cG<\/em>(\u03c9)\u5c31\u5b9a\u4e49\u4e3a\u963b\u6297\uff08impedance)\uff0c\u7528Z\u8868\u793a\uff1b\u5982\u679cX\u662f\u7535\u52bf\uff0cY\u662f\u7535\u6d41\uff0cG<\/em>(\u03c9)\u5c31\u5b9a\u4e49\u4e3a\u5bfc\u7eb3\uff08admittance)\uff0c\u7528Y\u8868\u793a\uff0c\u5f88\u663e\u7136\u963b\u6297\u548c\u5bfc\u7eb3\u4e92\u4e3a\u5012\u6570\u5173\u7cfb\uff0c\u5b83\u4eec\u7edf\u79f0\u4e3a\u963b\u7eb3\uff08immittance\uff09, \u7528G\u8868\u793a\u3002<\/p>\n \u963b\u7eb3\u662f\u4e00\u4e2a\u968f\u89d2\u9891\u7387\u03c9\u53d8\u5316\u7684\u77e2\u91cf\uff08\u5f53\u7136\u963b\u6297Z\u4e5f\u662f\uff09\uff0c\u901a\u5e38\u7528\u89d2\u9891\u7387\u03c9\uff08\u6216\u4e00\u822c\u9891\u7387f\uff09\u7684\u590d\u53d8\u51fd\u6570\u6765\u8868\u793a\uff0c\u5373Z=Z\u2019+jZ\u201d\uff0c\u5176\u4e2dZ\u2019\u4e3a\u5b9e\u90e8\uff0cZ\u201d\u4e3a\u865a\u90e8\uff0c\u4e0b\u56fe\u4e3a\u5178\u578b\u7684\u590d\u53d8\u51fd\u6570\u56fe\u3002<\/p>\n \u4e24\u79cd\u7535\u5316\u5b66\u963b\u6297\u8c31<\/strong><\/span><\/p>\n \u7535\u5316\u5b66\u963b\u6297\u6280\u672f\u5c31\u662f\u6d4b\u5b9a\u4e0d\u540c\u9891\u7387\u03c9\u7684\u6270\u52a8\u4fe1\u53f7X\u548c\u54cd\u5e94\u4fe1\u53f7Y\u7684\u6bd4\u503c\uff0c\u5f97\u5230\u4e0d\u540c\u9891\u7387\u4e0b\u963b\u6297\u7684\u5b9e\u90e8\u3001\u865a\u90e8\u3001\u6a21\u503c\u548c\u76f8\u4f4d\u89d2\uff0c\u7136\u540e\u5c06\u8fd9\u4e9b\u91cf\u7ed8\u5236\u6210\u5404\u79cd\u5f62\u5f0f\u7684\u66f2\u7ebf\uff0c\u5c31\u5f97\u5230\u7535\u5316\u5b66\u963b\u6297\u8c31\uff0c\u5e38\u7528\u7684\u7535\u5316\u5b66\u963b\u6297\u8c31\u6709\u4e24\u79cd\uff1a\u4e00\u79cd\u53eb\u505a\u5948\u594e\u65af\u7279\u56fe\uff08Nyquist plot\uff09\uff0c \u4e00\u79cd\u53eb\u505a\u6ce2\u7279\u56fe\uff08Bode plot\uff09\u3002<\/p>\n Nyquist plot\u662f\u4ee5\u963b\u6297\u7684\u5b9e\u90e8\u4e3a\u6a2a\u8f74\uff0c\u865a\u90e8\u7684\u8d1f\u6570\u4e3a\u7eb5\u8f74\uff0c\u56fe\u4e2d\u7684\u6bcf\u4e2a\u70b9\u4ee3\u8868\u4e0d\u540c\u7684\u9891\u7387\uff0c\u5de6\u4fa7\u7684\u9891\u7387\u9ad8\uff0c\u6210\u4e3a\u9ad8\u9891\u533a\uff0c\u53f3\u4fa7\u7684\u9891\u7387\u4f4e\uff0c\u6210\u4e3a\u4f4e\u9891\u533a\u3002<\/p>\n Bode plot\u56fe\u5305\u62ec\u4e24\u6761\u66f2\u7ebf\uff0c\u5b83\u4eec\u7684\u6a2a\u5750\u6807\u90fd\u662f\u9891\u7387\u7684\u5bf9\u6570\uff0c\u7eb5\u5750\u6807\u4e00\u4e2a\u662f\u963b\u6297\u6a21\u503c\u7684\u5bf9\u6570\uff0c\u53e6\u4e00\u4e2a\u662f\u963b\u6297\u7684\u76f8\u4f4d\u89d2\u3002\u5229\u7528Nyquist plot \u6216\u8005\u662fBode plot\u5c31\u53ef\u4ee5\u5bf9\u7535\u5316\u5b66\u7cfb\u7edf\u7684\u963b\u6297\u8fdb\u884c\u5206\u6790\uff0c\u8fdb\u800c\u83b7\u5f97\u6709\u7528\u7684\u7535\u5316\u5b66\u4fe1\u606f\u3002<\/p>\n EIS<\/strong>\u6d4b\u91cf\u7684\u524d\u63d0\u6761\u4ef6<\/strong><\/span><\/p>\n \u4e00\u4e2a\u7535\u5316\u5b66\u7cfb\u7edf\u5fc5\u987b\u6ee1\u8db3\u5982\u4e0b\u4e09\u4e2a\u57fa\u672c\u6761\u4ef6\uff0c\u624d\u80fd\u4fdd\u8bc1\u6d4b\u91cf\u7684\u963b\u6297\u8c31\u5177\u6709\u610f\u4e49\u3002<\/p>\n \u56e0\u679c\u6027\u6761\u4ef6\uff08causality\uff09\uff1a\u8f93\u51fa\u7684\u54cd\u5e94\u4fe1\u53f7\u53ea\u662f\u7531\u8f93\u5165\u7684\u6270\u52a8\u4fe1\u53f7\u5f15\u8d77\u7684\u7684\u3002\u4e5f\u5c31\u662f\u8bf4\u6d4b\u91cf\u4fe1\u53f7\u548c\u6270\u52a8\u4fe1\u53f7\u4e4b\u95f4\u5b58\u5728\u552f\u4e00\u5bf9\u5e94\u7684\u56e0\u679c\u5173\u7cfb\uff0c\u4efb\u4f55\u5176\u5b83\u5e72\u6270\u4fe1\u53f7\u90fd\u5fc5\u987b\u6392\u9664\u3002\u5982\u679c\u5145\u5206\u6ce8\u610f\u4e86\u7535\u5316\u5b66\u7cfb\u7edf\u73af\u5883\u56e0\u7d20\uff08\u6bd4\u5982\u6e29\u5ea6\u7b49\uff09\u7684\u63a7\u5236\uff0c\u8fd9\u4e2a\u6761\u4ef6\u6bd4\u8f83\u5bb9\u6613\u6ee1\u8db3\u3002<\/p>\n \u7ebf\u6027\u6761\u4ef6\uff08linearity\uff09: 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\u7a33\u5b9a\u6027\u6761\u4ef6: 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\u56fe\u4e0a\u53ef\u4ee5\u76f4\u63a5\u6c42\u51faR\u03c9<\/em>\u548cR<\/em>ct<\/sub>\uff0cZre<\/sub>= R<\/em>\u03a9<\/sub>+R<\/em>ct<\/sub>\/2<\/p>\n \u7531\u534a\u5706\u9876\u70b9\u7684\u03c9\u53ef\u6c42\u5f97C<\/em>d<\/sub>\uff0cC<\/em>d<\/sub>=1\/\u03c9R<\/p>\n \u9700\u8981\u6ce8\u610f\u7684\u662f\uff1a<\/p>\n 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\u9664\u4e86\u7535\u8377\u4f20\u9012\u7535\u963b\u4e4b\u5916\uff0c\u7535\u8def\u4e2d\u53c8\u5f15\u5165\u4e00\u4e2a\u7531\u6269\u6563\u8fc7\u7a0b\u5f15\u8d77\u7684\u963b\u6297\uff0c \u7528Z\u03c9<\/em>\u8868\u793a\uff0c\u79f0\u4e4b\u4e3a\u97e6\u4f2f\u963b\u6297\uff08Warburg)\u3002\u97e6\u4f2f\u963b\u6297\u53ef\u4ee5\u770b\u4f5c\u662f\u4e00\u4e2a\u6269\u6563\u7535\u963bR\u03c9<\/em>\u548c\u4e00\u4e2a\u5047\uff08\u6269\u6563\uff09\u7535\u5bb9C\u03c9<\/em>\u4e32\u8054\u7ec4\u6210<\/p>\n \u7ecf\u8fc7\u516c\u5f0f\u63a8\u5bfc\u3001\u4f5c\u56fe\u540e\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u77e5\uff1a<\/p>\n \u5728\u6781\u4f4e\u9891\u533a\uff0cNyquist \u56fe\u4e0a\u6269\u6563\u63a7\u5236\u8868\u73b0\u4e3a\u503e\u659c\u89d2\u03c0\/4\uff0845\u00b0\uff09\u7684\u76f4\u7ebf\u3002<\/span><\/p>\n \u5728\u9ad8\u9891\u533a\uff0c\u7535\u8377\u4f20\u9012\u8fc7\u7a0b\u4e3a\u63a7\u5236\u6b65\u9aa4\u65f6\u7684\u7535\u8def\u7684\u7b49\u6548\u963b\u6297\uff0c\u5728 Nyquist 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