{"id":7541,"date":"2025-09-24T14:31:05","date_gmt":"2025-09-24T11:31:05","guid":{"rendered":"https:\/\/vendor.energy\/articles\/vendor-generator-validation\/"},"modified":"2026-06-28T14:32:36","modified_gmt":"2026-06-28T11:32:36","slug":"tiaojian-gongkuang-kexingxing-vendor-max","status":"publish","type":"post","link":"https:\/\/vendor.energy\/zh-hans\/articles\/tiaojian-gongkuang-kexingxing-vendor-max\/","title":{"rendered":"VENDOR.Max\u00a0\u4e2d\u7684\u6761\u4ef6\u6027\u5de5\u51b5\u53ef\u884c\u6027"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"7541\" class=\"elementor elementor-7541 elementor-7435\" data-elementor-post-type=\"post\">\n\t\t\t\t<div class=\"elementor-element elementor-element-14b02f4 e-flex e-con-boxed e-con e-parent\" data-id=\"14b02f4\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-0bf10ca elementor-widget elementor-widget-html\" data-id=\"0bf10ca\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<script>\nwindow.MathJax = {\n  tex: {\n    inlineMath: [['$', '$'], ['\\\\(', '\\\\)']],\n    displayMath: [['$$', '$$'], ['\\\\[', '\\\\]']]\n  },\n  startup: {\n    pageReady: function () {\n      return MathJax.startup.defaultPageReady().then(function () {\n        document.querySelectorAll('mjx-container').forEach(function (eq) {\n          if (eq.closest('.math-scroll-wrapper')) return;\n          var isDisplay = eq.getAttribute('display') === 'true';\n          var wrapper = document.createElement(isDisplay ? 'div' : 'span');\n          wrapper.className = 'math-scroll-wrapper ' + (isDisplay ? 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Krishevich &nbsp;&amp;&nbsp; V. Peretyachenko<\/span>\n        <\/div>\n        <div class=\"tvp-fld-meta__item\">\n          <span class=\"tvp-fld-meta__label\">\u516c\u53f8<\/span>\n          <span class=\"tvp-fld-meta__value\">MICRO DIGITAL ELECTRONICS CORP S.R.L. &nbsp;&#183;&nbsp; vendor.energy<\/span>\n        <\/div>\n        <div class=\"tvp-fld-meta__item\">\n          <span class=\"tvp-fld-meta__label\">\u53d1\u5e03<\/span>\n          <span class=\"tvp-fld-meta__value\">2026 \u5e74 6 \u6708 25 \u65e5<\/span>\n        <\/div>\n        <div class=\"tvp-fld-meta__item\">\n          <span class=\"tvp-fld-meta__label\">\u5206\u7c7b<\/span>\n          <span class=\"tvp-fld-meta__value\">\u5206\u6790\u53c2\u8003\u6846\u67b6 &nbsp;&#183;&nbsp; \u6761\u4ef6\u6027\u5de5\u51b5\u53ef\u884c\u6027\u6a21\u578b<\/span>\n        <\/div>\n      <\/div>\n\n      <div class=\"tvp-fld-abstract\">\n\n        <div class=\"tvp-fld-abstract__def\">\n          <p>\u4e00\u4e2a\u6761\u4ef6\u6027\u6570\u5b66\u6a21\u578b\uff0c\u5b9a\u4e49\u4e86\u7a33\u5b9a\u5de5\u51b5 $\\Omega$ \u5b58\u5728\u6240\u9700\u7684\u5145\u5206\u7cfb\u6570\u6761\u4ef6\u3002\u6570\u503c\u529f\u7387\u6c34\u5e73\u3001\u8fb9\u754c\u5e73\u8861\u95ed\u5408\u4ee5\u53ca\u9a8c\u8bc1\u8ba1\u91cf\u5b66\u4e0d\u5728\u672c\u6587\u8303\u56f4\u4e4b\u5185\u3002<\/p>\n        <\/div>\n\n        <div class=\"tvp-fld-abstract__constraint\">\n          <p><strong>\u8303\u56f4\u3002<\/strong>\u8be5\u6846\u67b6\u5e76\u4e0d\u4e3b\u5f20\u5f53\u524d\u539f\u578b\u5df2\u8fbe\u5230\u6240\u9700\u7684\u7cfb\u6570\u3002\u5b83\u4ec5\u8868\u660e\uff0c<em>\u82e5<\/em>\u8fbe\u5230\u6b64\u7c7b\u7cfb\u6570\uff0c\u6240\u63d0\u51fa\u7684\u6a21\u578b\u4fbf\u5141\u8bb8\u4e00\u4e2a\u6570\u5b66\u4e0a\u81ea\u6d3d\u7684\u5de5\u51b5\u3002\u8fd9\u4e9b\u6761\u4ef6\u662f\u5426\u5728\u7269\u7406\u4e0a\u5b9e\u73b0\uff0c\u7559\u5f85\u5b9e\u9a8c\u9a8c\u8bc1\u3002<\/p>\n        <\/div>\n\n        <div class=\"tvp-fld-concept\">\n          <p><strong>\u5de5\u7a0b\u539f\u7406 2\u3002<\/strong>\u5de5\u51b5\u7684\u5b58\u5728\u7531\u7cfb\u7edf\u7ef4\u6301\u6709\u754c\u3001\u81ea\u6d3d\u7684\u9884\u51fb\u7a7f\u573a\u72b6\u6001\u7684\u80fd\u529b\u6240\u652f\u914d\u3002\u529f\u7387\u63d0\u53d6\uff08\u82e5\u6709\uff09\u662f\u65bd\u52a0\u4e8e\u8be5\u72b6\u6001\u7684\u4e00\u4e2a\u72ec\u7acb\u6761\u4ef6\u3002\u5f62\u5f0f\u4e0a\uff0c$\\Omega = \\Omega_{LC}\\cap\\Omega_{\\mathrm{prebreakdown}}$\uff0c\u5728\u8fde\u63a5\u4e24\u4e2a\u6295\u5f71\u7684\u81ea\u6d3d\uff08\u4e0d\u52a8\u70b9\uff09\u6761\u4ef6\u4e0b\u6210\u7acb\uff08&#167;3\u3001&#167;5\uff09\u3002<\/p>\n        <\/div>\n\n        <div class=\"tvp-fld-concept\">\n          <p><strong>\u4e2d\u5fc3\u8bba\u70b9\u3002<\/strong>\u5f53\u4e00\u4e2a\u7a33\u5b9a\u5de5\u51b5\u53ef\u4ee5\u4e0e\u9884\u51fb\u7a7f\u573a\u7684\u4e00\u4e2a\u5438\u5f15\u81ea\u6d3d\u72b6\u6001\u76f8\u8ba4\u540c\u65f6\uff0c\u8be5\u5de5\u51b5\u4fbf\u5b58\u5728\uff1a<\/p>\n        <\/div>\n\n        <div class=\"tvp-fld-eq\">\n          $$\\Omega = \\Omega_{LC}\\cap\\Omega_{\\mathrm{prebreakdown}},\\qquad A^\\star=\\mathcal{T}(A^\\star),\\quad |\\mathcal{T}'(A^\\star)|&lt;1.$$\n        <\/div>\n\n        <div class=\"tvp-fld-concept\">\n          <p>\u8be5\u72b6\u6001\u7684\u5b58\u5728\u672c\u8eab\u5e76\u4e0d\u8574\u542b\u529f\u7387\u8f93\u51fa\uff08$\\exists\\,\\Omega\\not\\Rightarrow P_3&gt;0$\uff09\u3002<\/p>\n        <\/div>\n\n      <\/div>\n\n    <\/div>\n  <\/section>\n\n\n  <section class=\"tvp-fld-section tvp-fld-section--alt\">\n    <div class=\"tvp-fld-article\">\n\n      <div class=\"tvp-fld-section-header\">\n        <span class=\"tvp-fld-sec-num\">&#167;&nbsp;01<\/span>\n        <h2>\u4f5c\u4e3a\u52a8\u529b\u5b66\u5bf9\u8c61\u7684\u5de5\u51b5<\/h2>\n      <\/div>\n\n      <p><em>\u5de5\u51b5<\/em>\u662f\u4e00\u4e2a\u6301\u7eed\u7684\u8fd0\u884c\u8fc7\u7a0b\uff1a\u4e00\u6761\u8f68\u8ff9 $\\mathbf{x}(t)$\uff0c\u5b83\u6536\u655b\u5230\u4e00\u4e2a\u6709\u754c\u4e0d\u53d8\u96c6 $\\Omega$\uff0c\u540c\u65f6\u6ee1\u8db3\u76f8\u4f4d\u540c\u6b65\u4e0e\u6709\u754c\u80fd\u91cf\u6761\u4ef6\u3002$\\Omega$ \u7684\u5b58\u5728\u662f\u672c\u6587\u7684\u7814\u7a76\u5bf9\u8c61\uff1b\u8d1f\u8f7d\u8f93\u51fa\u88ab\u89c6\u4e3a\u4e00\u4e2a\u72ec\u7acb\u6761\u4ef6\uff08&#167;6\uff09\uff0c\u5e76\u4e0d\u4ec5\u7531\u5de5\u51b5\u7684\u5b58\u5728\u63a8\u51fa\u3002<\/p>\n\n    <\/div>\n  <\/section>\n\n\n  <section class=\"tvp-fld-section\">\n    <div class=\"tvp-fld-article\">\n\n      <div class=\"tvp-fld-section-header\">\n        <span class=\"tvp-fld-sec-num\">&#167;&nbsp;02<\/span>\n        <h2>\u72b6\u6001\u4e0e\u5de5\u51b5\u5f62\u6210\u7b97\u5b50 $\\mathcal{N}(\\mathbf{x};\\alpha)$<\/h2>\n      <\/div>\n\n      <p>\u72b6\u6001\uff08\u80fd\u91cf\u53d8\u91cf\u52a0\u4ecb\u8d28\u72b6\u6001\uff0c&#167;3\uff09\uff1a<\/p>\n\n      <div class=\"tvp-fld-eq\">\n        $$\\mathbf{x} = (q_C,\\ \\varphi_A,\\ \\varphi_2,\\ \\varphi_3,\\ E_g,\\ n_e)^\\top.$$\n      <\/div>\n\n      <p>\u5de5\u51b5\u5f62\u6210\u5143\u662f\u4e00\u4e2a\u4e00\u822c\u7b97\u5b50 $\\mathcal{N}(\\mathbf{x};\\alpha)$\uff0c\u5176\u53c2\u6570 $\\alpha$ \u901a\u8fc7\u5b9e\u9a8c\u786e\u5b9a\u3002\u6709\u754c\u5de5\u51b5\u6240\u9700\u7684\u6700\u5c0f\u6027\u8d28\uff1a\u9608\u503c\uff08\u5728 $E_{\\mathrm{on}}$ \u4ee5\u4e0a\u8d77\u59cb\uff09\uff1b\u975e\u7ebf\u6027\u7535\u5bfc \/ \u653e\u7535\u54cd\u5e94\uff08\u8c03\u5236 $\\sigma_g$\uff09\uff1b\u5e45\u503c\u9650\u5236 \/ \u9971\u548c\uff08\u786e\u5b9a\u4e00\u4e2a\u6781\u9650\u5e45\u503c $A^\\star$\uff09\uff1b\u76f8\u4f4d\u76f8\u5173\u54cd\u5e94\uff08\u53c2\u4e0e\u540c\u6b65\uff09\uff1b\u53ef\u9009\u7684\u8bb0\u5fc6 \/ \u8fdf\u6ede\uff08\u6269\u5c55\u72b6\u6001\uff09\u3002<\/p>\n\n      <p><strong>\u5019\u9009\u7c7b\u522b<\/strong>\uff08\u975e\u5148\u9a8c\u5047\u5b9a\uff1b\u901a\u8fc7\u6d4b\u91cf\u52a0\u4ee5\u533a\u5206\uff09\uff1a\u7c7b NDR\uff1b\u53c2\u6570\u8c03\u5236\uff1b\u5f00\u5173 \/ \u6df7\u5408\uff1b\u5e26\u8fdf\u6ede\u7684\u653e\u7535\uff1b\u5ef6\u8fdf\u53cd\u9988\u3002\u6a21\u578b\u5b9a\u4e49\u4e86\u5de5\u51b5\u5b58\u5728\u6240\u9700\u7684\u6700\u5c0f\u7b97\u5b50\u6027\u8d28\uff1b\u9a8c\u8bc1\u786e\u5b9a\u539f\u578b\u5b9e\u73b0\u54ea\u4e00\u7c7b\u522b\uff0c\u4ee5\u53ca\u76f8\u5e94\u7cfb\u6570\u662f\u5426\u8d85\u8fc7\u9608\u503c\u3002<\/p>\n\n      <p><strong>\u5047\u8bbe\u3002<\/strong>A0 \u786e\u5b9a\u6027\u964d\u9636\u6a21\u578b\uff1bA1 \u6709\u754c\u72b6\u6001\u53d8\u91cf\uff1bA2 \u96c6\u603b\u53c2\u6570\u8fd1\u4f3c\uff1bA3 \u6709\u754c\u9884\u51fb\u7a7f\u4ecb\u8d28\uff1bA4 \u7a33\u5b9a\u540c\u6b65\u7a97\u53e3\uff1bA5 \u6709\u9650\u635f\u8017\uff1bA6 \u53ef\u6d4b\u72b6\u6001 \/ \u4ee3\u7406\u53d8\u91cf\u3002<\/p>\n\n    <\/div>\n  <\/section>\n\n\n  <section class=\"tvp-fld-section tvp-fld-section--alt\">\n    <div class=\"tvp-fld-article\">\n\n      <div class=\"tvp-fld-section-header\">\n        <span class=\"tvp-fld-sec-num\">&#167;&nbsp;03<\/span>\n        <h2>\u573a\u5f62\u6210\u5c42\uff08\u6838\u5fc3\u5143\u7d20\uff09<\/h2>\n      <\/div>\n\n      <p>\u672c\u6a21\u578b\u5c06\u8be5\u67b6\u6784\u89c6\u4e3a<strong>\u4e0d\u53ef\u5b8c\u5168\u7ea6\u5316<\/strong>\u4e3a\u5e38\u89c4\u53d8\u538b\u5668\u8868\u793a $I_A\\to\\Phi_A\\to V_2,V_3$\uff0c\u56e0\u4e3a\u8026\u5408\u78c1\u901a\u88ab\u5047\u5b9a\u4f9d\u8d56\u4e8e\u9884\u51fb\u7a7f\u4ecb\u8d28\u7684\u72b6\u6001\u3002\u8be5\u78c1\u901a\u662f\u4e00\u4e2a\u4f9d\u8d56\u5de5\u51b5\u7684\u573a\u72b6\u6001\uff0c\u7531\u4ee5\u4e0b\u4e09\u8005\u7684\u76f8\u4e92\u4f5c\u7528\u4ea7\u751f\uff1a(i) \u53d7\u63a7\u7684\u9884\u51fb\u7a7f\u4ecb\u8d28\uff0c(ii) \u7279\u65af\u62c9\u578b\u8c10\u632f\u6fc0\u52b1\u7ea7\uff0c\u4ee5\u53ca (iii) \u7535\u5bb9\u8282\u70b9\u52a8\u529b\u5b66\uff1a<\/p>\n\n      <div class=\"tvp-fld-eq\">\n        $$\\mathcal{N}(\\mathbf{x};\\alpha)\\ \\longrightarrow\\ (E_g,\\ n_e,\\ \\sigma_g)\\ \\longrightarrow\\ \\Phi_A\\ \\longrightarrow\\ (V_2,\\ V_3).$$\n      <\/div>\n\n      <p>\u4ecb\u8d28\u72b6\u6001\uff08\u4e00\u822c\u5f62\u5f0f\uff09\uff1a<\/p>\n\n      <div class=\"tvp-fld-eq\">\n        $$\\dot n_e = f_e(E_g,\\,n_e,\\,S),\\qquad \\sigma_g = \\sigma_g(E_g,n_e)\\ \\text{(\u6709\u754c)}.$$\n      <\/div>\n\n      <div class=\"tvp-fld-concept\">\n        <p>\uff08\u4e00\u79cd\u53ef\u5bb9\u8bb8\u7684\u5b9e\u73b0\u662f\u5e26\u590d\u5408\u7684\u6c64\u68ee\u5f62\u5f0f $\\dot n_e=\\alpha_{\\mathrm{ion}}(E_g)n_e-\\beta n_e^2+S$\uff1b\u5b83\u662f\u4e00\u4e2a\u793a\u4f8b\uff0c\u800c\u975e\u5047\u8bbe\u3002\uff09<\/p>\n      <\/div>\n\n      <p>\u573a\u78c1\u901a $\\Phi_A(t)=\\mathcal{F}_\\Phi(E_g,n_e,I_A,\\kappa_T)$\uff1b\u611f\u5e94\u7535\u538b $V_k=-N_k\\dot\\Phi_A$\uff0c$V_{k,\\mathrm{rms}}\\approx\\omega_0 M_k I_{A,\\mathrm{rms}}$\u3002<\/p>\n\n      <p><strong>\u9884\u51fb\u7a7f\u7a97\u53e3\uff08\u5b58\u5728\u6027\u7ea6\u675f\uff09\u3002<\/strong>\u8be5\u5de5\u51b5\u88ab\u5efa\u6a21\u4e3a\u4e00\u4e2a<em>\u53d7\u63a7\u9884\u51fb\u7a7f\u5bfc\u7535\u72b6\u6001<\/em>\uff0c\u800c\u975e\u7535\u5f27\u3002\u5b9a\u4e49\u5f52\u4e00\u5316\u7a97\u53e3\u5750\u6807<\/p>\n\n      <div class=\"tvp-fld-eq\">\n        $$K_{\\mathrm{window}}=\\frac{E_g-E_{\\mathrm{on}}}{E_{\\mathrm{arc}}-E_{\\mathrm{on}}}\\in(0,1),\\qquad K_{\\mathrm{pre}}=\\frac{E_g}{E_{\\mathrm{arc}}}&lt;1\\ \\text{(\u5bfc\u51fa).}$$\n      <\/div>\n\n      <div class=\"tvp-fld-eq\">\n        $$\\Omega_{\\mathrm{prebreakdown}}=\\{\\mathbf{x}:\\ 0&lt;K_{\\mathrm{window}}&lt;1,\\ n_e\\in[n_{\\min},n_{\\max}],\\ \\sigma_g\\ \\text{\u6709\u754c}\\}.$$\n      <\/div>\n\n      <p><strong>\u81ea\u6d3d\u6027\u3002<\/strong>$\\Omega_{LC}$ \u7ea6\u675f\u80fd\u91cf\u5750\u6807 $(q_C,\\varphi_A,\\varphi_2,\\varphi_3)$\uff08\u4e00\u4e2a\u6709\u754c LC <a href=\"https:\/\/vendor.energy\/zh-hans\/articles\/fankui-huilu-dianyun-xitong\/\">\u6781\u9650\u73af<\/a>\uff09\uff1b$\\Omega_{\\mathrm{prebreakdown}}$ \u7ea6\u675f\u4ecb\u8d28\u5750\u6807 $(E_g,n_e,\\sigma_g)$\u3002\u8fd9\u4e9b\u662f $\\mathbf{x}$ \u7684\u4e0d\u540c\u6295\u5f71\uff0c\u901a\u8fc7\u573a\u6620\u5c04 $\\mathcal{F}_\\Phi$ \u8026\u5408\u3002\u5de5\u51b5\u4ec5\u5728\u5176<em>\u81ea\u6d3d<\/em>\u4ea4\u96c6\u5904\u5b58\u5728 &#8212; \u5373\u56de\u8def \u4ecb\u8d28 $\\to$ \u573a $\\to$ \u7535\u6d41 \u7684\u4e00\u4e2a\u4e0d\u52a8\u70b9\u3002\u5c06\u8be5\u56de\u8def\u5199\u4e3a\u5e45\u503c\u6620\u5c04\uff0c<\/p>\n\n      <div class=\"tvp-fld-eq\">\n        $$I_A = \\mathcal{G}\\!\\big(\\mathcal{F}_\\Phi(E_g,n_e,I_A,\\kappa_T)\\big),\\qquad\\text{\u7b49\u4ef7\u5730}\\qquad A^\\star=\\mathcal{T}(A^\\star),\\quad \\mathcal{T}:A\\mapsto\\text{\u4ecb\u8d28}\\mapsto\\text{\u573a}\\mapsto A,$$\n      <\/div>\n\n      <p>\u5219\u5de5\u51b5\u5bf9\u5e94\u4e8e $\\mathcal{T}$ \u7684\u4e00\u4e2a\u4f4d\u4e8e\u7a97\u53e3\u5185\u7684\u4e0d\u52a8\u70b9 $A^\\star$\u3002\u4e8e\u662f<\/p>\n\n      <div class=\"tvp-fld-eq\">\n        $$\\Omega = \\Omega_{LC}\\cap\\Omega_{\\mathrm{prebreakdown}}.$$\n      <\/div>\n\n      <p>$\\Omega_{LC}$ \u4e0e $\\Omega_{\\mathrm{prebreakdown}}$ \u5355\u72ec\u975e\u7a7a\u662f\u5fc5\u8981\u7684\uff0c\u4f46\u4e0d\u5145\u5206\uff1b\u4e0d\u52a8\u70b9 $A^\\star=\\mathcal{T}(A^\\star)$ \u7684\u5b58\u5728\u624d\u662f\u975e\u5e73\u51e1\u7684\u5185\u5bb9\u3002<\/p>\n\n      <p><strong>\u7279\u65af\u62c9\u578b\u7ea7\u3002<\/strong><em>\u7279\u65af\u62c9\u578b\u8c10\u632f\u6fc0\u52b1\u7ea7<\/em>\u6307\u4e00\u4e2a\u9ad8\u538b\u8c10\u632f\u573a\u5f62\u6210\u7ea7\uff1b\u8be5\u672f\u8bed\u5e76\u4e0d\u610f\u5473\u4efb\u4f55\u975e\u7ecf\u5178\u80fd\u91cf\u6e90\u3002\u4ee5 $W_{\\mathrm{field}}=\\tfrac12\\int_V\\epsilon|E_g|^2dV+\\tfrac12\\int_V\\mu|H_A|^2dV$ \u8868\u793a\uff1a\u573a\u5f62\u6210\u589e\u76ca $K_T$ \u4e0e $K_{\\mathrm{field}}=W_{\\mathrm{field}}\/W_A$\u3002<\/p>\n\n      <div class=\"tvp-fld-concept\">\n        <p><strong>\u6a21\u578b\u6027\u8d28\u3002<\/strong>$K_T$\u3001$K_{\\mathrm{field}}$ \u4e0e $Q_A$ \u7f29\u653e\u573a\u7684\u5927\u5c0f\u4e0e\u65e0\u529f\uff08\u73af\u6d41\uff09\u80fd\u91cf\uff1b\u573a\u7684\u5927\u5c0f\u4e0e\u6709\u529f\u529f\u7387\u4f20\u8f93\u81ea\u59cb\u81f3\u7ec8\u88ab\u89c6\u4e3a\u4e0d\u540c\u7684\u91cf\u3002\uff08\u8fd9\u662f\u65e0\u529f\u529f\u7387\u7684\u5b9a\u4e49\uff0c\u800c\u975e\u8bbe\u5907\u7279\u5b9a\u7684\u4e3b\u5f20\u3002\uff09<\/p>\n      <\/div>\n\n    <\/div>\n  <\/section>\n\n\n  <section class=\"tvp-fld-section\">\n    <div class=\"tvp-fld-article\">\n\n      <div class=\"tvp-fld-section-header\">\n        <span class=\"tvp-fld-sec-num\">&#167;&nbsp;04<\/span>\n        <h2>\u8026\u5408\u4e0e\u7ef4\u6301\u7cfb\u6570<\/h2>\n      <\/div>\n\n      <p>\u573a\u5145\u5206\u6027\uff08\u51e0\u4f55 \/ \u611f\u5e94\uff09\uff1a$K_{\\Phi,2}=\\dfrac{\\omega_0 M_2 I_{A,\\mathrm{rms}}}{V_{2,\\mathrm{crit}}}$\uff0c$K_{\\Phi,3}=\\dfrac{\\omega_0 M_3 I_{A,\\mathrm{rms}}}{V_{3,\\mathrm{crit}}}$\u3002\u8f7d\u6d41\u5b50\u5bc6\u5ea6\u901a\u8fc7 $\\Omega_{\\mathrm{prebreakdown}}$ \u7684\u7a97\u53e3 $n_e\\in[n_{\\min},n_{\\max}]$ \u8fdb\u5165\uff08\u65e0\u5355\u72ec\u7684\u7535\u79bb\u9608\u503c\uff0c\u4ee5\u907f\u514d\u5bf9\u540c\u4e00\u7ea6\u675f\u7684\u91cd\u590d\u63cf\u8ff0\uff09\u3002\u5de5\u51b5\u963b\u5c3c\uff1a$K_{\\mathrm{damp}}=P_{\\mathrm{loss,regime}}\/(\\omega_0 W_A)&lt;K_{\\mathrm{damp}}^{\\max}$\uff0c\u5176\u4e2d $P_{\\mathrm{loss,regime}}$ \u662f\u5de5\u51b5\u56de\u8def\u7684\u635f\u8017\uff08\u56de\u8def A \u53ca\u5176\u8026\u5408\uff09\u3002\u8bbe\u5907\u603b\u635f\u8017 $P_{\\mathrm{loss,total}}$ \u5728\u6b64\u4e0d\u88ab\u4f7f\u7528\uff1b\u5b83\u4eec\u5c5e\u4e8e\u914d\u5957\u9a8c\u8bc1\u5de5\u4f5c\u7684\u8fb9\u754c\u6838\u7b97\u3002<\/p>\n\n      <p>\u5de5\u51b5\u7ef4\u6301\uff08\u5c40\u90e8\uff0c\u4ec5\u56de\u8def A\uff09\uff1a<\/p>\n\n      <div class=\"tvp-fld-eq\">\n        $$K_{\\mathrm{fb}}=\\frac{P_{\\mathrm{fb}}}{P_{\\mathrm{loss},A}+P_{\\mathrm{disturb}}}.$$\n      <\/div>\n\n      <div class=\"tvp-fld-concept\">\n        <p>$K_{\\mathrm{fb}}\\ge 1$ \u4ec5\u610f\u5473\u7740\u53cd\u9988\u901a\u8def\u8db3\u4ee5\u5728\u6a21\u578b\u5047\u8bbe\u4e0b\u8865\u507f\u56de\u8def A \u4e2d\u7684<strong>\u5c40\u90e8<\/strong>\u5de5\u51b5\u635f\u8017\u3002\u5b83\u662f\u5c40\u90e8\u5de5\u51b5\u7ef4\u6301\u7684\u7cfb\u6570\uff0c<strong>\u800c\u975e<\/strong>\u603b\u80fd\u91cf\u95ed\u5408\u7684\u8bc1\u660e\uff0c\u4e5f<strong>\u4e0d\u662f<\/strong>\u51c0\u529f\u7387\u8f93\u51fa\u7684\u8bc1\u660e\u3002\u53cd\u9988\u901a\u8def $\\text{Secondary}\\to\\text{Rectifier}\\to\\text{BMS}\\to C_{2.1\\text{&#8211;}2.3}$ \u662f\u672c\u6a21\u578b\u4e2d\u6240\u8003\u8651\u7684\u56de\u8def A \u7684\u552f\u4e00\u5b50\u7cfb\u7edf\u8f93\u5165\uff1b\u5176\u4ec5\u542b $P_{\\mathrm{loss},A}$ \u7684\u5206\u6bcd\u523b\u610f\u6392\u9664\u4e86 $P_3$\uff08\u89c1 &#167;6\uff09\u3002<\/p>\n      <\/div>\n\n    <\/div>\n  <\/section>\n\n\n  <section class=\"tvp-fld-section tvp-fld-section--alt\">\n    <div class=\"tvp-fld-article\">\n\n      <div class=\"tvp-fld-section-header\">\n        <span class=\"tvp-fld-sec-num\">&#167;&nbsp;05<\/span>\n        <h2>\u5de5\u51b5\u5b58\u5728\u6027\uff08\u5145\u5206\u6761\u4ef6\uff09<\/h2>\n      <\/div>\n\n      <p><strong>\u731c\u60f3 H1\uff08\u5de5\u51b5\u5b58\u5728\u6027\u7684\u5145\u5206\u6761\u4ef6\uff09\u3002<\/strong>\u4e0b\u5217\u6761\u4ef6\u88ab\u731c\u6d4b\u4e3a\u5728\u672c\u6a21\u578b\u5185\u5de5\u51b5\u5b58\u5728\u7684<em>\u5145\u5206<\/em>\u6761\u4ef6\u3002\u5728\u5047\u8bbe A0&#8211;A6 \u4e0b\uff0c\u82e5<\/p>\n\n      <div class=\"tvp-fld-eq\">\n        $$\\begin{cases} 0&lt;K_{\\mathrm{window}}&lt;1,\\quad n_e\\in[n_{\\min},n_{\\max}]\\\\ K_T\\ge K_T^{\\mathrm{crit}}\\\\ K_{\\Phi,2}\\ge K_{\\Phi,2}^{\\mathrm{crit}}\\\\ K_{\\mathrm{fb}}\\ge 1\\\\ K_{\\mathrm{damp}}&lt;K_{\\mathrm{damp}}^{\\max} \\end{cases}\\quad\\text{\u4e14 }\\ \\exists\\,A^\\star=\\mathcal{T}(A^\\star)\\ \\text{\u6ee1\u8db3}\\ |\\mathcal{T}'(A^\\star)|&lt;1\\ \\text{\uff08\u5438\u5f15\uff09}\\quad\\Longrightarrow\\quad \\exists\\,\\Omega,\\ \\ \\Omega=\\Omega_{LC}\\cap\\Omega_{\\mathrm{prebreakdown}}$$\n      <\/div>\n\n      <p>\u5219\u8be5\u5b9e\u73b0\u5141\u8bb8\u5728\u5e45\u503c $A^\\star$ \u5904\u5b58\u5728\u4e00\u4e2a\u6709\u754c\u4e0d\u53d8\u96c6 $\\Omega$\uff0c\u5e76\u4ece\u67d0\u90bb\u57df\u6536\u655b\u3002\u4e00\u4e2a\u4ec5\u5b58\u5728\u4f46\u4e0d\u5438\u5f15\u7684\u4e0d\u52a8\u70b9\uff08$|\\mathcal{T}'(A^\\star)|\\ge 1$\uff09\u5728\u672c\u6a21\u578b\u5185\u5e76\u4e0d\u786e\u7acb\u4e00\u4e2a\u5438\u5f15\u5de5\u51b5\u3002\u8fd9\u4e9b\u6761\u4ef6\u7684\u5fc5\u8981\u6027<strong>\u672a<\/strong>\u88ab\u4e3b\u5f20\u3002\u8bc1\u660e\u4e0d\u5728\u672c\u6587\u8303\u56f4\u4e4b\u5185\u3002\u8fd9\u4e9b\u7cfb\u6570\u662f $L_A,C_\\Sigma,M_2,M_3,Q_A,\\kappa_T,\\mathcal{N}$ \u7684\u51fd\u6570\uff1b\u5176\u6570\u503c\u5728\u6b64\u4e0d\u4f5c\u4e3b\u5f20\u3002<\/p>\n\n      <p><em>\u8fc8\u5411\u8bc1\u660e\uff1a<\/em>\u5c06\u5e45\u503c\u6620\u5c04\u8bba\u8bc1 $A^\\star=\\mathcal{T}(A^\\star)$ \u8f6c\u5316\u4e3a\u4e00\u4e2a\u5b9a\u7406\uff08\u901a\u8fc7\u5e73\u5747\u6cd5 \/ \u63cf\u8ff0\u51fd\u6570\u786e\u7acb\u4e0d\u52a8\u70b9\u7684\u5b58\u5728\u6027\u4e0e\u7a33\u5b9a\u6027\uff09\u9700\u8981 $\\mathcal{N}$ \u4e0e $\\sigma_g$ \u7684\u5b9a\u6027\u5f62\u5f0f\u4ee5\u53ca\u6570\u91cf\u7ea7\u53c2\u6570 &#8212; \u5728 TRL \u95e8\u63a7\u7684\u62ab\u9732\u8fb9\u754c\u5185\u662f\u53ef\u5bb9\u8bb8\u7684\u3002<\/p>\n\n    <\/div>\n  <\/section>\n\n\n  <section class=\"tvp-fld-section\">\n    <div class=\"tvp-fld-article\">\n\n      <div class=\"tvp-fld-section-header\">\n        <span class=\"tvp-fld-sec-num\">&#167;&nbsp;06<\/span>\n        <h2>\u4e09\u7ea7\u63d0\u53d6\u4f5c\u4e3a\u72ec\u7acb\u6761\u4ef6<\/h2>\n      <\/div>\n\n      <p>\u8d1f\u8f7d\u8f93\u51fa<strong>\u5e76\u4e0d<\/strong>\u7531\u5de5\u51b5\u7684\u5b58\u5728\u63a8\u51fa\uff1a<\/p>\n\n      <div class=\"tvp-fld-eq\">\n        $$\\exists\\,\\Omega \\ \\not\\Rightarrow\\ P_3&gt;0.$$\n      <\/div>\n\n      <p>\u63d0\u53d6\u9664 $\\exists\\,\\Omega$ \u4e4b\u5916\uff0c\u8fd8\u9700\u8981\u72ec\u7acb\u7684\u573a\u5145\u5206\u6027\u6761\u4ef6 $K_{\\Phi,3}\\ge K_{\\Phi,3}^{\\mathrm{crit}}$ \u4ee5\u53ca\u4e00\u4e2a\u72ec\u7acb\u7684\u63d0\u53d6\u6761\u4ef6<\/p>\n\n      <div class=\"tvp-fld-eq\">\n        $$\\mathcal{C}_{\\mathrm{extract}}=f(P_{\\mathrm{fb}},P_2,P_3,P_{\\mathrm{loss}})\\ge 0,$$\n      <\/div>\n\n      <p>\u5176\u663e\u5f0f\u5f62\u5f0f\u4e0e\u6570\u503c\u6c42\u89e3 &#8212; \u8fde\u540c\u8fb9\u754c\u80fd\u91cf\u7684\u5b9a\u91cf\u89e3\u91ca\uff0c\u5305\u62ec\u5728\u5fc5\u8981\u65f6\u8bc6\u522b\u4efb\u4f55\u7ef4\u6301\u9879 &#8212; \u88ab\u63a8\u8fdf\u5230\u914d\u5957\u9a8c\u8bc1\u5de5\u4f5c\u3002\u672c\u6587\u4ec5\u8bb0\u5f55\uff1a\u63d0\u53d6\u65bd\u52a0\u4e86\u4e00\u4e2a\u4e0d\u540c\u4e8e\u5de5\u51b5\u5b58\u5728\u3001\u4e14\u4e0d\u7531\u5176\u8574\u542b\u7684\u6761\u4ef6\uff1b\u8fd9\u4e24\u4e2a\u7ed3\u679c\u4e0d\u88ab\u5408\u5e76\u3002<\/p>\n\n    <\/div>\n  <\/section>\n\n\n  <section class=\"tvp-fld-section tvp-fld-section--alt\">\n    <div class=\"tvp-fld-article\">\n\n      <div class=\"tvp-fld-section-header\">\n        <span class=\"tvp-fld-sec-num\">&#167;&nbsp;07<\/span>\n        <h2>\u901a\u8fc7\u6d4b\u91cf\u8fdb\u884c\u7504\u522b\uff08\u5728\u672c\u6587\u8303\u56f4\u4e4b\u5916\uff0c\u4e3a\u5b8c\u6574\u6027\u800c\u5217\u51fa\uff09<\/h2>\n      <\/div>\n\n      <p>\u672a\u6765\u7684\u9a8c\u8bc1\u5c06\u786e\u5b9a $\\mathcal{N}$ \u5b9e\u73b0\u54ea\u4e00\u5019\u9009\u7c7b\u522b\uff1b$E_g$ \u662f\u5426\u4fdd\u6301\u5728 $\\Omega_{\\mathrm{prebreakdown}}$ \u5185\uff08$0&lt;K_{\\mathrm{window}}&lt;1$\uff09\uff1b$K_T,K_{\\Phi,2},K_{\\Phi,3},K_{\\mathrm{fb}}$ \u662f\u5426\u8fbe\u5230\u9608\u503c\uff1b\u5e45\u503c\u6620\u5c04\u662f\u5426\u5177\u6709\u7a33\u5b9a\u4e0d\u52a8\u70b9 $A^\\star$\uff1b\u4ee5\u53ca $\\mathcal{C}_{\\mathrm{extract}}\\ge 0$ \u662f\u5426\u6210\u7acb\u3002\u6570\u503c\u7cfb\u6570\u3001\u6709\u529f\u529f\u7387\u9884\u7b97\u4ee5\u53ca\u5b8c\u6574\u8bbe\u5907\u8fb9\u754c\u95ed\u5408\u4e0d\u5728\u672c\u6587\u4e4b\u5185\uff0c\u5c5e\u4e8e\u914d\u5957\u9a8c\u8bc1\u5de5\u4f5c\u7684\u8303\u7574\u3002<\/p>\n\n    <\/div>\n  <\/section>\n\n\n  <section class=\"tvp-fld-section\">\n    <div class=\"tvp-fld-article\">\n\n      <div class=\"tvp-fld-section-header\">\n        <span class=\"tvp-fld-sec-num\">&#167;&nbsp;08<\/span>\n        <h2>\u672c\u6587\u4e0d\u4e3b\u5f20\u7684\u5185\u5bb9<\/h2>\n      <\/div>\n\n      <ul class=\"tvp-fld-list\">\n        <li>\u5b83\u4e0d\u8bc1\u660e\u81ea\u4e3b\u8fd0\u884c\u6216\u51c0\u529f\u7387\u8f93\u51fa\u3002<\/li>\n        <li>\u5b83\u4e0d\u4e3a\u4efb\u4f55\u7cfb\u6570\u6216\u529f\u7387\u8d4b\u4e88\u6570\u503c\u3002<\/li>\n        <li>\u5b83\u4e0d\u4e3b\u5f20 &#167;5 \u4e2d\u6761\u4ef6\u7684\u5fc5\u8981\u6027\uff0c\u4ec5\u4e3b\u5f20\u5145\u5206\u6027\u3002<\/li>\n        <li>\u5b83\u4e0d\u4e3b\u5f20\u53cd\u9988\u901a\u8def\u5728\u786c\u4ef6\u4e2d\u8fbe\u5230\u6240\u9700\u7684\u7ef4\u6301\u9608\u503c &#8212; \u8fd9\u662f\u4e00\u4e2a\u6709\u5f85\u68c0\u9a8c\u7684\u6761\u4ef6\u3002<\/li>\n        <li>$K_T,K_{\\mathrm{field}},Q_A$ \u7f29\u653e\u573a \/ \u65e0\u529f\u91cf\uff0c\u533a\u522b\u4e8e\u6709\u529f\u529f\u7387\u4f20\u8f93\u3002<\/li>\n        <li>\u5de5\u51b5\u7684\u5b58\u5728\uff08&#167;5\uff09\u5e76\u4e0d\u8574\u542b\u4e09\u7ea7\u63d0\u53d6\uff08&#167;6\uff09\uff1b$K_{\\Phi,3}$ <strong>\u4e0d<\/strong>\u5c5e\u4e8e\u5de5\u51b5\u5b58\u5728\u6027\u96c6\u5408 &#8212; \u5b83\u5c5e\u4e8e\u72ec\u7acb\u7684\u63d0\u53d6\u6761\u4ef6\u3002<\/li>\n      <\/ul>\n\n      <p>\u672c\u6587\u5c06\u5de5\u51b5\u53ef\u884c\u6027\u5f52\u7ed3\u4e3a\u4e00\u7ec4\u5145\u5206\u6761\u4ef6 $\\{K_{\\mathrm{window}},K_T,K_{\\Phi,2},K_{\\mathrm{fb}},K_{\\mathrm{damp}}\\}$\uff0c\u5bf9\u5e94\u9884\u51fb\u7a7f\u573a\u72b6\u6001\u7684\u4e00\u4e2a\u7a33\u5b9a\u5438\u5f15\u4e0d\u52a8\u70b9 $A^\\star=\\mathcal{T}(A^\\star)$\uff0c\u5176\u4e2d $\\Omega=\\Omega_{LC}\\cap\\Omega_{\\mathrm{prebreakdown}}$\uff08\u539f\u7406 2\uff09\u3002\u6570\u503c\u7cfb\u6570\u3001\u529f\u7387\u8f93\u51fa\u6027\u80fd\u4ee5\u53ca\u8fb9\u754c\u95ed\u5408\u4ecd\u4e0d\u5728\u5176\u8303\u56f4\u4e4b\u5185\u3002<\/p>\n\n    <\/div>\n  <\/section>\n\n\n  <section class=\"tvp-fld-faq\">\n    <div class=\"tvp-fld-article\">\n\n      <h2>\u5e38\u89c1\u95ee\u9898<\/h2>\n\n      <div class=\"tvp-fld-faq-item\">\n        <h3>\u672c\u6587\u662f\u5426\u786e\u7acb\u51c0\u529f\u7387\u6216\u81ea\u4e3b\u8fd0\u884c\uff1f<\/h3>\n        <p>\u5426\u3002\u5b83\u65e2\u4e0d\u786e\u7acb\u51c0\u529f\u7387\uff0c\u4e5f\u4e0d\u786e\u7acb\u81ea\u4e3b\u8fd0\u884c\u3002\u5b83\u4e3a\u4e00\u4e2a\u7a33\u5b9a\u5de5\u51b5 $\\Omega$ \u5b9a\u4e49\u4e86\u5145\u5206\u7684\u6a21\u578b\u6761\u4ef6\u3002\u529f\u7387\u8f93\u51fa\u662f\u4e00\u4e2a\u72ec\u7acb\u6761\u4ef6\uff08&#167;6\uff09\uff0c\u5e76\u4e0d\u7531\u5de5\u51b5\u7684\u5b58\u5728\u6240\u8574\u542b\uff1a$\\exists\\,\\Omega\\not\\Rightarrow P_3&gt;0$\u3002<\/p>\n      <\/div>\n\n      <div class=\"tvp-fld-faq-item\">\n        <h3>\u5de5\u51b5\u7684\u5b58\u5728\u662f\u5426\u7b49\u540c\u4e8e\u8bbe\u5907\u7ea7\u8fd0\u884c\uff1f<\/h3>\n        <p>\u5426\u3002\u4e00\u4e2a\u5438\u5f15\u4e0d\u52a8\u70b9 $A^\\star=\\mathcal{T}(A^\\star)$ \u7684\u5b58\u5728\u610f\u5473\u7740\u88ab\u5efa\u6a21\u7684\u52a8\u529b\u5b66\u53ef\u4ee5\u7a33\u5b9a\u5230\u4e00\u4e2a\u6709\u754c\u9884\u51fb\u7a7f\u72b6\u6001\u3002\u7269\u7406\u539f\u578b\u662f\u5426\u5b9e\u73b0\u8be5\u72b6\u6001\u3001\u4ee5\u53ca\u5b83\u662f\u5426\u80fd\u8f93\u51fa\u8d1f\u8f7d\uff0c\u662f\u6709\u5f85\u672a\u6765\u9a8c\u8bc1\u7684\u7ecf\u9a8c\u95ee\u9898\u3002<\/p>\n      <\/div>\n\n      <div class=\"tvp-fld-faq-item\">\n        <h3>$K_{\\mathrm{fb}}\\ge 1$ \u662f\u5426\u4e3b\u5f20\u53cd\u9988\u7ef4\u6301\u8bbe\u5907\u7684\u5b8c\u6574\u8fd0\u884c\uff1f<\/h3>\n        <p>\u5426\u3002$K_{\\mathrm{fb}}\\ge 1$ \u4ec5\u662f\u5173\u4e8e\u56de\u8def A \u4e2d<em>\u5c40\u90e8<\/em>\u5de5\u51b5\u635f\u8017\u7684\u6761\u4ef6\uff1b\u5176\u5206\u6bcd\u6309\u6784\u9020\u6392\u9664 $P_3$\u3002\u5b83\u662f\u4e00\u4e2a\u7ef4\u6301\u7cfb\u6570\uff0c\u800c\u975e\u603b\u80fd\u91cf\u95ed\u5408\u7684\u8bc1\u660e\uff0c\u4e5f\u975e\u51c0\u8f93\u51fa\u7684\u8bc1\u660e\u3002\u5b83\u5728\u786c\u4ef6\u4e2d\u662f\u5426\u8fbe\u5230\uff0c\u6709\u5f85\u68c0\u9a8c\u3002<\/p>\n      <\/div>\n\n      <div class=\"tvp-fld-faq-item\">\n        <h3>\u7279\u65af\u62c9\u578b\u7ea7\u7684\u9ad8\u573a\u662f\u5426\u610f\u5473\u7740\u80fd\u91cf\u589e\u76ca\uff1f<\/h3>\n        <p>\u5426\u3002$K_T$\u3001$K_{\\mathrm{field}}$ \u4e0e $Q_A$ \u7f29\u653e\u573a\u7684\u5927\u5c0f\u4e0e\u65e0\u529f\uff08\u73af\u6d41\uff09\u80fd\u91cf\u3002\u4e00\u4e2a\u9ad8 $Q$ \u7684\u7ea7\u53ef\u4ee5\u627f\u8f7d\u5927\u7684\u73af\u6d41\u65e0\u529f\u91cf\uff1b\u6709\u529f\u529f\u7387\u4f20\u8f93\u662f\u4e00\u4e2a\u72ec\u7acb\u7684\u6d4b\u91cf\u95ee\u9898\u3002\u573a\u7684\u5927\u5c0f\u4e0e\u6709\u529f\u529f\u7387\u4f20\u8f93\u662f\u4e0d\u540c\u7684\u91cf\u3002<\/p>\n      <\/div>\n\n      <div class=\"tvp-fld-faq-item\">\n        <h3>\u731c\u60f3\uff08&#167;5\uff09\u662f\u5b9a\u7406\u5417\uff1f<\/h3>\n        <p>\u5426\u3002H1 \u662f\u4e00\u4e2a\u731c\u60f3\uff1b\u5176\u8bc1\u660e\uff08\u901a\u8fc7\u5e73\u5747\u6cd5 \/ \u63cf\u8ff0\u51fd\u6570\u786e\u7acb $A^\\star$ \u7684\u5b58\u5728\u6027\u4e0e\u7a33\u5b9a\u6027\uff09\u4e0d\u5728\u672c\u6587\u8303\u56f4\u4e4b\u5185\uff0c\u4e14\u9700\u8981 $\\mathcal{N}$ \u4e0e $\\sigma_g$ \u7684\u5b9a\u6027\u5f62\u5f0f\u3002<\/p>\n      <\/div>\n\n      <div class=\"tvp-fld-faq-item\">\n        <h3>\u6570\u503c\u529f\u7387\u6c34\u5e73\u3001\u63d0\u53d6\u5e73\u8861\u4ee5\u53ca\u8fb9\u754c\u80fd\u91cf\u95ee\u9898\u5f52\u4e8e\u4f55\u5904\uff1f<\/h3>\n        <p>\u5728\u672c\u6587\u4e4b\u5916 &#8212; \u5f52\u5165\u914d\u5957\u7684\u8fb9\u754c\u6838\u7b97\u4e0e\u9a8c\u8bc1\u5de5\u4f5c\uff0c\u8fde\u540c\u663e\u5f0f\u7684\u63d0\u53d6\u4e0d\u7b49\u5f0f $\\mathcal{C}_{\\mathrm{extract}}\\ge 0$\u3002<\/p>\n      <\/div>\n\n      <div class=\"tvp-fld-faq-item\">\n        <h3>\u8fd9\u91cc\u7684\u201c\u9884\u51fb\u7a7f\u201d\u662f\u4ec0\u4e48\u610f\u601d\uff0c\u5b83\u662f\u7535\u5f27\u5417\uff1f<\/h3>\n        <p>\u5b83\u662f\u4e00\u4e2a\u4f4e\u4e8e\u7535\u5f27\u8f6c\u53d8\u9608\u503c\u7684\u53d7\u63a7\u5bfc\u7535\u72b6\u6001\uff0c$0&lt;K_{\\mathrm{window}}&lt;1$\u3002\u5b83\u660e\u786e\u4e0d\u662f\u7535\u5f27\u653e\u7535\u3002<\/p>\n      <\/div>\n\n    <\/div>\n  <\/section>\n\n\n  <section class=\"tvp-fld-refs\">\n    <div class=\"tvp-fld-article\">\n\n      <h2>\u53c2\u8003\u6587\u732e<\/h2>\n\n      <div class=\"tvp-fld-refs-grid\">\n\n        <div class=\"tvp-fld-ref-card\">\n          <span class=\"tvp-fld-ref-card__num\">01<\/span>\n          <p class=\"tvp-fld-ref-card__authors\">A. van der Schaft, D. Jeltsema. <em>Port-Hamiltonian Systems Theory: An Introductory Overview.<\/em> Foundations and Trends in Systems and Control, 2014.<\/p>\n        <\/div>\n\n        <div class=\"tvp-fld-ref-card\">\n          <span class=\"tvp-fld-ref-card__num\">02<\/span>\n          <p class=\"tvp-fld-ref-card__authors\">H. K. Khalil. <em>Nonlinear Systems<\/em>, 3rd ed. Prentice Hall, 2002. (Lyapunov stability; invariant sets.)<\/p>\n        <\/div>\n\n        <div class=\"tvp-fld-ref-card\">\n          <span class=\"tvp-fld-ref-card__num\">03<\/span>\n          <p class=\"tvp-fld-ref-card__authors\">J. Guckenheimer, P. Holmes. <em>Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields.<\/em> Springer, 1983. (Limit cycles; averaging.)<\/p>\n        <\/div>\n\n        <div class=\"tvp-fld-ref-card\">\n          <span class=\"tvp-fld-ref-card__num\">04<\/span>\n          <p class=\"tvp-fld-ref-card__authors\">A. H. Nayfeh, D. T. Mook. <em>Nonlinear Oscillations.<\/em> Wiley, 1979. (Parametric resonance; the Mathieu equation; describing functions.)<\/p>\n        <\/div>\n\n        <div class=\"tvp-fld-ref-card\">\n          <span class=\"tvp-fld-ref-card__num\">05<\/span>\n          <p class=\"tvp-fld-ref-card__authors\">Yu. P. Raizer. <em>Gas Discharge Physics.<\/em> Springer, 1991. (Townsend ionization; pre-breakdown conduction; corona.)<\/p>\n        <\/div>\n\n        <div class=\"tvp-fld-ref-card\">\n          <span class=\"tvp-fld-ref-card__num\">06<\/span>\n          <p class=\"tvp-fld-ref-card__authors\">M. A. Lieberman, A. J. Lichtenberg. <em>Principles of Plasma Discharges and Materials Processing<\/em>, 2nd ed. Wiley, 2005. (Discharge regimes; bounded conductive states.)<\/p>\n        <\/div>\n\n        <div class=\"tvp-fld-ref-card\">\n          <span class=\"tvp-fld-ref-card__num\">07<\/span>\n          <p class=\"tvp-fld-ref-card__authors\">A. Gelb, W. E. Vander Velde. <em>Multiple-Input Describing Functions and Nonlinear System Design.<\/em> McGraw-Hill, 1968. (Amplitude-map \/ describing-function method for fixed-point existence.)<\/p>\n        <\/div>\n\n        <div class=\"tvp-fld-ref-card\">\n          <span class=\"tvp-fld-ref-card__num\">08<\/span>\n          <p class=\"tvp-fld-ref-card__authors\">E. Kuffel, W. S. Zaengl, J. Kuffel. <em>High Voltage Engineering: Fundamentals<\/em>, 2nd ed. Butterworth-Heinemann, 2000. (High-voltage resonant circuits and insulation behavior.)<\/p>\n        <\/div>\n\n        <div class=\"tvp-fld-ref-card\">\n          <span class=\"tvp-fld-ref-card__num\">09<\/span>\n          <p class=\"tvp-fld-ref-card__authors\">L. B. Loeb. <em>Electrical Coronas: Their Basic Physical Mechanisms.<\/em> University of California Press, 1965. (Pre-breakdown \/ corona \/ streamer mechanisms.)<\/p>\n        <\/div>\n\n        <div class=\"tvp-fld-ref-card\">\n          <span class=\"tvp-fld-ref-card__num\">10<\/span>\n          <p class=\"tvp-fld-ref-card__authors\">WO2024209235A1, PCT publication. Cited only as an architecture reference, not as validation evidence or as support for any energy-balance claim.<\/p>\n        <\/div>\n\n      <\/div>\n\n      <div class=\"tvp-fld-reading-note\">\n        <p>\u53c2\u8003\u8303\u56f4\uff1a\u8fd9\u4e9b\u5f15\u7528\u652f\u6301\u672c\u6a21\u578b\u6240\u4f7f\u7528\u7684\u6570\u5b66\u65b9\u6cd5\uff08\u7aef\u53e3\u54c8\u5bc6\u987f\u8868\u8ff0\u3001\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u4e2d\u7684\u5b58\u5728\u6027 \/ \u7a33\u5b9a\u6027\u3001\u63cf\u8ff0\u51fd\u6570\u5206\u6790\uff09\u4ee5\u53ca\u9ad8\u538b \/ \u9884\u51fb\u7a7f\u653e\u7535\u7269\u7406\u3002\u5b83\u4eec\u4e0d\u4e3b\u5f20\u51c0\u529f\u7387\u7684\u4ea7\u751f\u6216\u81ea\u4e3b\u8fd0\u884c\u3002<\/p>\n      <\/div>\n\n    <\/div>\n  <\/section>\n\n<\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>\u6280\u672f\u6587\u7ae0 &nbsp;&#183;&nbsp; \u6761\u4ef6\u6027\u5de5\u51b5\u53ef\u884c\u6027 VENDOR.Max \u4e2d\u7684\u6761\u4ef6\u6027\u5de5\u51b5\u53ef\u884c\u6027  [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":7444,"comment_status":"open","ping_status":"open","sticky":false,"template":"elementor_header_footer","format":"standard","meta":{"footnotes":""},"categories":[256,247,151,166],"tags":[],"class_list":["post-7541","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-science-zh-hans","category-science","category-technology","category-technology-zh-hans"],"_links":{"self":[{"href":"https:\/\/vendor.energy\/zh-hans\/wp-json\/wp\/v2\/posts\/7541","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vendor.energy\/zh-hans\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/vendor.energy\/zh-hans\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/vendor.energy\/zh-hans\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/vendor.energy\/zh-hans\/wp-json\/wp\/v2\/comments?post=7541"}],"version-history":[{"count":39,"href":"https:\/\/vendor.energy\/zh-hans\/wp-json\/wp\/v2\/posts\/7541\/revisions"}],"predecessor-version":[{"id":26403,"href":"https:\/\/vendor.energy\/zh-hans\/wp-json\/wp\/v2\/posts\/7541\/revisions\/26403"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/vendor.energy\/zh-hans\/wp-json\/wp\/v2\/media\/7444"}],"wp:attachment":[{"href":"https:\/\/vendor.energy\/zh-hans\/wp-json\/wp\/v2\/media?parent=7541"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vendor.energy\/zh-hans\/wp-json\/wp\/v2\/categories?post=7541"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vendor.energy\/zh-hans\/wp-json\/wp\/v2\/tags?post=7541"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}