{"id":7543,"date":"2025-09-24T14:31:05","date_gmt":"2025-09-24T11:31:05","guid":{"rendered":"https:\/\/vendor.energy\/articles\/vendor-generator-validation\/"},"modified":"2026-06-26T19:34:46","modified_gmt":"2026-06-26T16:34:46","slug":"fezabilitate-conditionata-regim-vendor-max","status":"publish","type":"post","link":"https:\/\/vendor.energy\/ro\/articles\/fezabilitate-conditionata-regim-vendor-max\/","title":{"rendered":"Fezabilitatea condi\u021bionat\u0103 a regimului \u00een\u00a0VENDOR.Max"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"7543\" class=\"elementor elementor-7543 elementor-7435\" data-elementor-post-type=\"post\">\n\t\t\t\t<div class=\"elementor-element elementor-element-1fa38a9 e-flex e-con-boxed e-con e-parent\" data-id=\"1fa38a9\" 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-0b3a1d5 elementor-widget elementor-widget-html\" data-id=\"0b3a1d5\" 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 ? 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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\">Companie<\/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\">Publicat<\/span>\n          <span class=\"tvp-fld-meta__value\">25 iunie 2026<\/span>\n        <\/div>\n        <div class=\"tvp-fld-meta__item\">\n          <span class=\"tvp-fld-meta__label\">Clasificare<\/span>\n          <span class=\"tvp-fld-meta__value\">Cadru analitic de referin&#539;\u0103 &nbsp;&#183;&nbsp; Model de fezabilitate condi&#539;ionat\u0103 a regimului<\/span>\n        <\/div>\n      <\/div>\n\n      <div class=\"tvp-fld-abstract\">\n\n        <div class=\"tvp-fld-abstract__def\">\n          <p>Un model matematic condi&#539;ionat care define&#537;te condi&#539;ii suficiente asupra coeficien&#539;ilor pentru un regim de func&#539;ionare stabil $\\Omega$. Nivelurile numerice de putere, \u00eenchiderea bilan&#539;ului la grani&#539;\u0103 &#537;i metrologia de validare se afl\u0103 \u00een afara domeniului acestui articol.<\/p>\n        <\/div>\n\n        <div class=\"tvp-fld-abstract__constraint\">\n          <p><strong>Domeniu.<\/strong> Cadrul nu afirm\u0103 c\u0103 coeficien&#539;ii necesari sunt ob&#539;inu&#539;i \u00een prototipul actual. Afirm\u0103 doar c\u0103 <em>dac\u0103<\/em> astfel de coeficien&#539;i sunt ob&#539;inu&#539;i, modelul propus admite un regim de func&#539;ionare consistent din punct de vedere matematic. Dac\u0103 aceste condi&#539;ii sunt realizate fizic r\u0103m\u00e2ne o \u00eentrebare pentru validarea experimental\u0103.<\/p>\n        <\/div>\n\n        <div class=\"tvp-fld-concept\">\n          <p><strong>Principiul de inginerie 2.<\/strong> Existen&#539;a regimului este guvernat\u0103 de capacitatea sistemului de a men&#539;ine o stare de c\u00e2mp de pre-str\u0103pungere m\u0103rginit\u0103 &#537;i auto-consistent\u0103. Extrac&#539;ia de putere, dac\u0103 exist\u0103, este o condi&#539;ie separat\u0103 impus\u0103 acelei st\u0103ri. Formal, $\\Omega = \\Omega_{LC}\\cap\\Omega_{\\mathrm{prebreakdown}}$ sub o condi&#539;ie de auto-consisten&#539;\u0103 (punct fix) care leag\u0103 cele dou\u0103 proiec&#539;ii (&#167;3, &#167;5).<\/p>\n        <\/div>\n\n        <div class=\"tvp-fld-concept\">\n          <p><strong>Teza central\u0103.<\/strong> Un regim de func&#539;ionare stabil exist\u0103 atunci c\u00e2nd poate fi identificat cu o stare auto-consistent\u0103 atractoare a c\u00e2mpului de pre-str\u0103pungere:<\/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>Existen&#539;a acestei st\u0103ri nu implic\u0103, prin ea \u00eens\u0103&#537;i, livrarea de putere ($\\exists\\,\\Omega\\not\\Rightarrow P_3&gt;0$).<\/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>Regimul ca obiect dinamic<\/h2>\n      <\/div>\n\n      <p>Un <em>regim<\/em> este un proces de func&#539;ionare persistent: o traiectorie $\\mathbf{x}(t)$ care converge c\u0103tre o mul&#539;ime invariant\u0103 m\u0103rginit\u0103 $\\Omega$, satisf\u0103c\u00e2nd \u00een acela&#537;i timp condi&#539;iile de sincronizare de faz\u0103 &#537;i de energie m\u0103rginit\u0103. Existen&#539;a lui $\\Omega$ este obiectul acestui articol; livrarea c\u0103tre sarcin\u0103 este tratat\u0103 ca o condi&#539;ie separat\u0103 (&#167;6) &#537;i nu decurge doar din existen&#539;a regimului.<\/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>Starea &#537;i operatorul de formare a regimului $\\mathcal{N}(\\mathbf{x};\\alpha)$<\/h2>\n      <\/div>\n\n      <p>Starea (variabile de energie plus starea mediului, &#167;3):<\/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>Elementul de formare a regimului este un operator general $\\mathcal{N}(\\mathbf{x};\\alpha)$, cu parametrii $\\alpha$ identifica&#539;i experimental. Propriet\u0103&#539;i minime necesare pentru un regim m\u0103rginit: prag (declan&#537;are peste $E_{\\mathrm{on}}$); conductivitate neliniar\u0103 \/ r\u0103spuns de desc\u0103rcare (moduleaz\u0103 $\\sigma_g$); limitarea amplitudinii \/ satura&#539;ie (fixeaz\u0103 o amplitudine-limit\u0103 $A^\\star$); r\u0103spuns dependent de faz\u0103 (particip\u0103 la sincronizare); memorie \/ histerezis op&#539;ional (extinde starea).<\/p>\n\n      <p><strong>Clase candidate<\/strong> (neasumate a priori; discriminate prin m\u0103surare): de tip NDR; cu modula&#539;ie parametric\u0103; comutare\/hibrid; desc\u0103rcare cu histerezis; feedback \u00eent\u00e2rziat. Modelul define&#537;te propriet\u0103&#539;ile minime ale operatorului necesare pentru existen&#539;a regimului; validarea determin\u0103 ce clas\u0103 realizeaz\u0103 prototipul &#537;i dac\u0103 coeficien&#539;ii corespunz\u0103tori dep\u0103&#537;esc pragul.<\/p>\n\n      <p><strong>Ipoteze.<\/strong> A0 model determinist cu ordin redus; A1 variabile de stare m\u0103rginite; A2 aproxima&#539;ie cu parametri concentra&#539;i; A3 mediu de pre-str\u0103pungere m\u0103rginit; A4 fereastr\u0103 de sincronizare stabil\u0103; A5 pierderi finite; A6 stare m\u0103surabil\u0103 \/ variabile-proxy.<\/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>Stratul de formare a c\u00e2mpului (element central)<\/h2>\n      <\/div>\n\n      <p>Modelul de fa&#539;\u0103 trateaz\u0103 arhitectura ca <strong>nefiind complet reductibil\u0103<\/strong> la o reprezentare conven&#539;ional\u0103 de transformator $I_A\\to\\Phi_A\\to V_2,V_3$, deoarece fluxul de cuplaj se presupune a depinde de starea mediului de pre-str\u0103pungere. Fluxul este o stare de c\u00e2mp dependent\u0103 de regim, produs\u0103 prin interac&#539;iunea dintre (i) mediul controlat de pre-str\u0103pungere, (ii) etajul de excita&#539;ie rezonant de tip Tesla &#537;i (iii) dinamica nodurilor capacitive:<\/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>Starea mediului (form\u0103 general\u0103):<\/p>\n\n      <div class=\"tvp-fld-eq\">\n        $$\\dot n_e = f_e(E_g,\\,n_e,\\,S),\\qquad \\sigma_g = \\sigma_g(E_g,n_e)\\ \\text{(m\u0103rginit\u0103)}.$$\n      <\/div>\n\n      <div class=\"tvp-fld-concept\">\n        <p>(O realizare admisibil\u0103 este forma Townsend-cu-recombinare $\\dot n_e=\\alpha_{\\mathrm{ion}}(E_g)n_e-\\beta n_e^2+S$; este un exemplu, nu o ipotez\u0103.)<\/p>\n      <\/div>\n\n      <p>Fluxul de c\u00e2mp $\\Phi_A(t)=\\mathcal{F}_\\Phi(E_g,n_e,I_A,\\kappa_T)$; tensiunile induse $V_k=-N_k\\dot\\Phi_A$, $V_{k,\\mathrm{rms}}\\approx\\omega_0 M_k I_{A,\\mathrm{rms}}$.<\/p>\n\n      <p><strong>Fereastra de pre-str\u0103pungere (constr\u00e2ngere de existen&#539;\u0103).<\/strong> Regimul este modelat ca o <em>stare conductiv\u0103 controlat\u0103 de pre-str\u0103pungere<\/em>, nu un arc. Se define&#537;te coordonata normalizat\u0103 a ferestrei<\/p>\n\n      <div class=\"tvp-fld-eq\">\n        $$K_{\\mathrm{window}}=\\frac{E_g-E_{\\mathrm{on}}}{E_{\\mathrm{arc}}-E_{\\mathrm{on}}}\\in(0,1),\\qquad K_{\\mathrm{pre}}=\\frac{E_g}{E_{\\mathrm{arc}}}&lt;1\\ \\text{(derivat).}$$\n      <\/div>\n\n      <div class=\"tvp-fld-eq\">\n        $$\\Omega_{\\mathrm{prebreakdown}}=\\{\\mathbf{x}:\\ 0&lt;K_{\\mathrm{window}}&lt;1,\\ n_e\\in[n_{\\min},n_{\\max}],\\ \\sigma_g\\ \\text{m\u0103rginit\u0103}\\}.$$\n      <\/div>\n\n      <p><strong>Auto-consisten&#539;\u0103.<\/strong> $\\Omega_{LC}$ constr\u00e2nge coordonatele de energie $(q_C,\\varphi_A,\\varphi_2,\\varphi_3)$ (un ciclu-limit\u0103 LC m\u0103rginit); $\\Omega_{\\mathrm{prebreakdown}}$ constr\u00e2nge coordonatele mediului $(E_g,n_e,\\sigma_g)$. Acestea sunt proiec&#539;ii distincte ale lui $\\mathbf{x}$, cuplate prin aplica&#539;ia de c\u00e2mp $\\mathcal{F}_\\Phi$. Un regim exist\u0103 doar la intersec&#539;ia lor <em>auto-consistent\u0103<\/em> &#8212; un punct fix al buclei mediu $\\to$ c\u00e2mp $\\to$ curent. Scriind bucla ca o aplica&#539;ie de amplitudine,<\/p>\n\n      <div class=\"tvp-fld-eq\">\n        $$I_A = \\mathcal{G}\\!\\big(\\mathcal{F}_\\Phi(E_g,n_e,I_A,\\kappa_T)\\big),\\qquad\\text{echivalent}\\qquad A^\\star=\\mathcal{T}(A^\\star),\\quad \\mathcal{T}:A\\mapsto\\text{mediu}\\mapsto\\text{c\u00e2mp}\\mapsto A,$$\n      <\/div>\n\n      <p>un regim corespunde unui punct fix $A^\\star$ al lui $\\mathcal{T}$ aflat \u00een fereastr\u0103. Atunci<\/p>\n\n      <div class=\"tvp-fld-eq\">\n        $$\\Omega = \\Omega_{LC}\\cap\\Omega_{\\mathrm{prebreakdown}}.$$\n      <\/div>\n\n      <p>Faptul c\u0103 $\\Omega_{LC}$ &#537;i $\\Omega_{\\mathrm{prebreakdown}}$ sunt nevide separat este necesar, dar nu suficient; existen&#539;a punctului fix $A^\\star=\\mathcal{T}(A^\\star)$ este con&#539;inutul netrivial.<\/p>\n\n      <p><strong>Etajul de tip Tesla.<\/strong> <em>Etajul de excita&#539;ie rezonant de tip Tesla<\/em> \u00eenseamn\u0103 un etaj de formare a c\u00e2mpului rezonant de \u00eenalt\u0103 tensiune; termenul nu implic\u0103 nicio surs\u0103 de energie neclasic\u0103. Cu $W_{\\mathrm{field}}=\\tfrac12\\int_V\\epsilon|E_g|^2dV+\\tfrac12\\int_V\\mu|H_A|^2dV$: c\u00e2&#537;tigul de formare a c\u00e2mpului $K_T$ &#537;i $K_{\\mathrm{field}}=W_{\\mathrm{field}}\/W_A$.<\/p>\n\n      <div class=\"tvp-fld-concept\">\n        <p><strong>Proprietate de model.<\/strong> $K_T$, $K_{\\mathrm{field}}$ &#537;i $Q_A$ scaleaz\u0103 magnitudinea c\u00e2mpului &#537;i energia reactiv\u0103 (circulant\u0103); magnitudinea c\u00e2mpului &#537;i transferul de putere activ\u0103 sunt tratate ca m\u0103rimi distincte pe tot parcursul. (Aceasta este defini&#539;ia puterii reactive, nu o afirma&#539;ie specific\u0103 dispozitivului.)<\/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>Coeficien&#539;i de cuplaj &#537;i de sus&#539;inere<\/h2>\n      <\/div>\n\n      <p>Suficien&#539;a c\u00e2mpului (geometrie\/induc&#539;ie): $K_{\\Phi,2}=\\dfrac{\\omega_0 M_2 I_{A,\\mathrm{rms}}}{V_{2,\\mathrm{crit}}}$, $K_{\\Phi,3}=\\dfrac{\\omega_0 M_3 I_{A,\\mathrm{rms}}}{V_{3,\\mathrm{crit}}}$. Densitatea de purt\u0103tori intr\u0103 prin fereastra $n_e\\in[n_{\\min},n_{\\max}]$ a lui $\\Omega_{\\mathrm{prebreakdown}}$ (f\u0103r\u0103 prag de ionizare separat, pentru a evita descrierea dubl\u0103 a aceleia&#537;i constr\u00e2ngeri). Amortizarea de regim: $K_{\\mathrm{damp}}=P_{\\mathrm{loss,regime}}\/(\\omega_0 W_A)&lt;K_{\\mathrm{damp}}^{\\max}$, unde $P_{\\mathrm{loss,regime}}$ este pierderea buclei de regim (Conturul A &#537;i cuplajul s\u0103u). Pierderile totale ale dispozitivului $P_{\\mathrm{loss,total}}$ nu sunt folosite aici; ele apar&#539;in contabiliz\u0103rii la grani&#539;\u0103 din lucrarea de validare \u00eenso&#539;itoare.<\/p>\n\n      <p>Sus&#539;inerea regimului (local\u0103, doar Conturul A):<\/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>$K_{\\mathrm{fb}}\\ge 1$ \u00eenseamn\u0103 doar c\u0103 calea de feedback este suficient\u0103 pentru a compensa pierderile <strong>locale<\/strong> de regim din Conturul A, sub ipotezele modelului. Este un coeficient de sus&#539;inere local\u0103 a regimului, <strong>nu<\/strong> o dovad\u0103 a \u00eenchiderii totale a energiei &#537;i <strong>nu<\/strong> o dovad\u0103 a livr\u0103rii nete de putere. Calea de feedback $\\text{Secondary}\\to\\text{Rectifier}\\to\\text{BMS}\\to C_{2.1\\text{&#8211;}2.3}$ este singura intrare de subsistem \u00een Conturul A considerat\u0103 \u00een modelul de fa&#539;\u0103; numitorul s\u0103u, care con&#539;ine doar $P_{\\mathrm{loss},A}$, exclude deliberat $P_3$ (vezi &#167;6).<\/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>Existen&#539;a regimului (condi&#539;ii suficiente)<\/h2>\n      <\/div>\n\n      <p><strong>Conjectur\u0103 H1 (condi&#539;ii suficiente pentru existen&#539;a regimului).<\/strong> Urm\u0103toarele condi&#539;ii sunt presupuse <em>suficiente<\/em> pentru existen&#539;a regimului \u00een cadrul modelului de fa&#539;\u0103. Sub ipotezele A0&#8211;A6, dac\u0103<\/p>\n\n      <div class=\"tvp-fld-eq\">\n        $$\\begin{cases} 0&lt;K_{\\mathrm{window}}&lt;1,\\quad n_e\\in[n_{\\min},n_{\\max}]\\\\ K_T\\ge K_T^{\\mathrm{crit}}\\\\ K_{\\Phi,2}\\ge K_{\\Phi,2}^{\\mathrm{crit}}\\\\ K_{\\mathrm{fb}}\\ge 1\\\\ K_{\\mathrm{damp}}&lt;K_{\\mathrm{damp}}^{\\max} \\end{cases}\\quad\\text{\u0219i }\\ \\exists\\,A^\\star=\\mathcal{T}(A^\\star)\\ \\text{cu}\\ |\\mathcal{T}'(A^\\star)|&lt;1\\ \\text{(atractor)}\\quad\\Longrightarrow\\quad \\exists\\,\\Omega,\\ \\ \\Omega=\\Omega_{LC}\\cap\\Omega_{\\mathrm{prebreakdown}}$$\n      <\/div>\n\n      <p>atunci realizarea admite o mul&#539;ime invariant\u0103 m\u0103rginit\u0103 $\\Omega$ la amplitudinea $A^\\star$, cu convergen&#539;\u0103 dintr-o vecin\u0103tate. Un punct fix care doar exist\u0103, dar nu este atractor ($|\\mathcal{T}'(A^\\star)|\\ge 1$), nu stabile&#537;te un regim de func&#539;ionare atractor \u00een cadrul acestui model. Necesitatea acestor condi&#539;ii <strong>nu<\/strong> este afirmat\u0103. O demonstra&#539;ie se afl\u0103 \u00een afara domeniului acestui articol. Coeficien&#539;ii sunt func&#539;ii de $L_A,C_\\Sigma,M_2,M_3,Q_A,\\kappa_T,\\mathcal{N}$; valorile lor numerice nu sunt afirmate aici.<\/p>\n\n      <p><em>Spre o demonstra&#539;ie:<\/em> transformarea argumentului aplica&#539;iei de amplitudine $A^\\star=\\mathcal{T}(A^\\star)$ \u00eentr-o teorem\u0103 (existen&#539;a &#537;i stabilitatea punctului fix prin mediere \/ func&#539;ie descriptiv\u0103) necesit\u0103 forma calitativ\u0103 a lui $\\mathcal{N}$ &#537;i $\\sigma_g$ &#537;i parametri de ordin de m\u0103rime &#8212; admisibil\u0103 \u00een cadrul unei limite de divulgare condi&#539;ionate de TRL.<\/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>Extrac&#539;ia ter&#539;iar\u0103 ca o condi&#539;ie separat\u0103<\/h2>\n      <\/div>\n\n      <p>Livrarea c\u0103tre sarcin\u0103 <strong>nu<\/strong> decurge din existen&#539;a regimului:<\/p>\n\n      <div class=\"tvp-fld-eq\">\n        $$\\exists\\,\\Omega \\ \\not\\Rightarrow\\ P_3&gt;0.$$\n      <\/div>\n\n      <p>Extrac&#539;ia necesit\u0103, pe l\u00e2ng\u0103 $\\exists\\,\\Omega$, condi&#539;ia independent\u0103 de suficien&#539;\u0103 a c\u00e2mpului $K_{\\Phi,3}\\ge K_{\\Phi,3}^{\\mathrm{crit}}$ &#537;i o condi&#539;ie de extrac&#539;ie separat\u0103<\/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>a c\u0103rei form\u0103 explicit\u0103 &#537;i rezolvare numeric\u0103 &#8212; \u00eempreun\u0103 cu interpretarea cantitativ\u0103 a energiei la grani&#539;\u0103, inclusiv identificarea oric\u0103rui termen de sus&#539;inere, dac\u0103 este necesar &#8212; sunt am\u00e2nate pentru lucrarea de validare \u00eenso&#539;itoare. Acest articol consemneaz\u0103 doar c\u0103 extrac&#539;ia impune o condi&#539;ie distinct\u0103 de existen&#539;a regimului &#537;i neimplicat\u0103 de aceasta; cele dou\u0103 rezultate nu sunt combinate.<\/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>Discriminare prin m\u0103surare (\u00een afara domeniului de fa&#539;\u0103, men&#539;ionat\u0103 pentru completitudine)<\/h2>\n      <\/div>\n\n      <p>Validarea viitoare ar determina ce clas\u0103 candidat\u0103 realizeaz\u0103 $\\mathcal{N}$; dac\u0103 $E_g$ r\u0103m\u00e2ne \u00een $\\Omega_{\\mathrm{prebreakdown}}$ ($0&lt;K_{\\mathrm{window}}&lt;1$); dac\u0103 $K_T,K_{\\Phi,2},K_{\\Phi,3},K_{\\mathrm{fb}}$ ating pragul; dac\u0103 aplica&#539;ia de amplitudine are un punct fix stabil $A^\\star$; &#537;i dac\u0103 $\\mathcal{C}_{\\mathrm{extract}}\\ge 0$. Coeficien&#539;ii numerici, bugetul de putere activ\u0103 &#537;i \u00eenchiderea bilan&#539;ului la grani&#539;a dispozitivului se afl\u0103 \u00een afara acestui articol &#537;i fac obiectul lucr\u0103rii de validare \u00eenso&#539;itoare.<\/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>Ce nu afirm\u0103 acest articol<\/h2>\n      <\/div>\n\n      <ul class=\"tvp-fld-list\">\n        <li>Nu demonstreaz\u0103 func&#539;ionarea autonom\u0103 sau livrarea net\u0103 de putere.<\/li>\n        <li>Nu atribuie o valoare numeric\u0103 niciunui coeficient sau putere.<\/li>\n        <li>Nu afirm\u0103 necesitatea condi&#539;iilor din &#167;5, ci doar suficien&#539;a.<\/li>\n        <li>Nu afirm\u0103 c\u0103 calea de feedback atinge pragul de sus&#539;inere necesar \u00een hardware &#8212; aceasta este o condi&#539;ie care trebuie testat\u0103.<\/li>\n        <li>$K_T,K_{\\mathrm{field}},Q_A$ scaleaz\u0103 m\u0103rimi de c\u00e2mp &#537;i reactive, distincte de transferul de putere activ\u0103.<\/li>\n        <li>Existen&#539;a regimului (&#167;5) nu implic\u0103 extrac&#539;ia ter&#539;iar\u0103 (&#167;6); $K_{\\Phi,3}$ <strong>nu<\/strong> face parte din mul&#539;imea de existen&#539;\u0103 a regimului &#8212; apar&#539;ine condi&#539;iei separate de extrac&#539;ie.<\/li>\n      <\/ul>\n\n      <p>Articolul reduce fezabilitatea regimului la o mul&#539;ime de condi&#539;ii suficiente $\\{K_{\\mathrm{window}},K_T,K_{\\Phi,2},K_{\\mathrm{fb}},K_{\\mathrm{damp}}\\}$ pentru un punct fix atractor stabil $A^\\star=\\mathcal{T}(A^\\star)$ al st\u0103rii de c\u00e2mp de pre-str\u0103pungere, cu $\\Omega=\\Omega_{LC}\\cap\\Omega_{\\mathrm{prebreakdown}}$ (Principiul 2). Coeficien&#539;ii numerici, performan&#539;a livr\u0103rii de putere &#537;i \u00eenchiderea bilan&#539;ului la grani&#539;\u0103 r\u0103m\u00e2n \u00een afara domeniului s\u0103u.<\/p>\n\n    <\/div>\n  <\/section>\n\n\n  <section class=\"tvp-fld-faq\">\n    <div class=\"tvp-fld-article\">\n\n      <h2>\u00centreb\u0103ri frecvente<\/h2>\n\n      <div class=\"tvp-fld-faq-item\">\n        <h3>Stabile&#537;te acest articol existen&#539;a unei puteri nete sau autonome?<\/h3>\n        <p>Nu. Nu stabile&#537;te nici existen&#539;a unei puteri nete, nici func&#539;ionarea autonom\u0103. Define&#537;te condi&#539;ii de model suficiente pentru un regim de func&#539;ionare stabil $\\Omega$. Livrarea de putere este o condi&#539;ie separat\u0103 (&#167;6) &#537;i nu este implicat\u0103 de existen&#539;a regimului: $\\exists\\,\\Omega\\not\\Rightarrow P_3&gt;0$.<\/p>\n      <\/div>\n\n      <div class=\"tvp-fld-faq-item\">\n        <h3>Este existen&#539;a regimului acela&#537;i lucru cu func&#539;ionarea la nivel de dispozitiv?<\/h3>\n        <p>Nu. Existen&#539;a unui punct fix atractor $A^\\star=\\mathcal{T}(A^\\star)$ \u00eenseamn\u0103 c\u0103 dinamica modelat\u0103 se poate stabiliza \u00eentr-o stare m\u0103rginit\u0103 de pre-str\u0103pungere. Dac\u0103 prototipul fizic realizeaz\u0103 acea stare &#537;i dac\u0103 poate livra sarcin\u0103 sunt \u00eentreb\u0103ri empirice pentru validarea viitoare.<\/p>\n      <\/div>\n\n      <div class=\"tvp-fld-faq-item\">\n        <h3>Este $K_{\\mathrm{fb}}\\ge 1$ o afirma&#539;ie c\u0103 feedbackul sus&#539;ine func&#539;ionarea complet\u0103 a dispozitivului?<\/h3>\n        <p>Nu. $K_{\\mathrm{fb}}\\ge 1$ este o condi&#539;ie asupra pierderilor <em>locale<\/em> de regim doar din Conturul A; numitorul s\u0103u exclude $P_3$ prin construc&#539;ie. Este un coeficient de sus&#539;inere, nu o dovad\u0103 a \u00eenchiderii totale a energiei &#537;i nu o dovad\u0103 a livr\u0103rii nete. Dac\u0103 este atins \u00een hardware urmeaz\u0103 s\u0103 fie testat.<\/p>\n      <\/div>\n\n      <div class=\"tvp-fld-faq-item\">\n        <h3>C\u00e2mpul ridicat al etajului de tip Tesla \u00eenseamn\u0103 c\u00e2&#537;tig de energie?<\/h3>\n        <p>Nu. $K_T$, $K_{\\mathrm{field}}$ &#537;i $Q_A$ scaleaz\u0103 magnitudinea c\u00e2mpului &#537;i energia reactiv\u0103 (circulant\u0103). Un etaj cu $Q$ ridicat poate sus&#539;ine m\u0103rimi reactive circulante mari; transferul de putere activ\u0103 este o problem\u0103 de m\u0103surare separat\u0103. Magnitudinea c\u00e2mpului &#537;i transferul de putere activ\u0103 sunt m\u0103rimi distincte.<\/p>\n      <\/div>\n\n      <div class=\"tvp-fld-faq-item\">\n        <h3>Este conjectura (&#167;5) o teorem\u0103?<\/h3>\n        <p>Nu. H1 este o conjectur\u0103; o demonstra&#539;ie (existen&#539;a &#537;i stabilitatea lui $A^\\star$ prin mediere \/ func&#539;ie descriptiv\u0103) se afl\u0103 \u00een afara domeniului acestui articol &#537;i necesit\u0103 forma calitativ\u0103 a lui $\\mathcal{N}$ &#537;i $\\sigma_g$.<\/p>\n      <\/div>\n\n      <div class=\"tvp-fld-faq-item\">\n        <h3>Unde merg nivelurile numerice de putere, bilan&#539;ul de extrac&#539;ie &#537;i \u00eentreb\u0103rile despre energia la grani&#539;\u0103?<\/h3>\n        <p>\u00cen afara acestui articol &#8212; \u00een lucrarea \u00eenso&#539;itoare de contabilizare la grani&#539;\u0103 &#537;i de validare, \u00eempreun\u0103 cu inegalitatea explicit\u0103 de extrac&#539;ie $\\mathcal{C}_{\\mathrm{extract}}\\ge 0$.<\/p>\n      <\/div>\n\n      <div class=\"tvp-fld-faq-item\">\n        <h3>Ce \u00eenseamn\u0103 aici &#8222;pre-str\u0103pungere&#8221; &#537;i este acesta un arc?<\/h3>\n        <p>Este o stare conductiv\u0103 controlat\u0103 sub pragul de tranzi&#539;ie la arc, $0&lt;K_{\\mathrm{window}}&lt;1$. Nu este, \u00een mod explicit, o <a href=\"https:\/\/vendor.energy\/ro\/articles\/energie-ionizare-conductivitate-aer\/\">desc\u0103rcare \u00een arc<\/a>.<\/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>Referin&#539;e<\/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>Domeniul referin&#539;elor: cit\u0103rile sus&#539;in metodele matematice (formularea port-hamiltonian\u0103, existen&#539;a\/stabilitatea \u00een dinamica neliniar\u0103, analiza prin func&#539;ie descriptiv\u0103) &#537;i fizica desc\u0103rc\u0103rilor de \u00eenalt\u0103 tensiune \/ pre-str\u0103pungere folosit\u0103 \u00een acest model. Ele nu afirm\u0103 generarea de putere net\u0103 sau autonom\u0103.<\/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>Articol tehnic &nbsp;&#183;&nbsp; Fezabilitatea condi&#539;ionat\u0103 a regimului Fezabilitatea condi&#539;ionat\u0103 a regimului \u00een VENDOR.Max Autori O. Krishevich &nbsp;&amp;&nbsp; V. Peretyachenko Companie MICRO DIGITAL ELECTRONICS CORP S.R.L. &nbsp;&#183;&nbsp; vendor.energy Publicat 25 iunie 2026 Clasificare Cadru analitic de referin&#539;\u0103 &nbsp;&#183;&nbsp; Model de fezabilitate condi&#539;ionat\u0103 a regimului Un model matematic condi&#539;ionat care define&#537;te condi&#539;ii suficiente asupra coeficien&#539;ilor pentru un [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":7449,"comment_status":"open","ping_status":"open","sticky":false,"template":"elementor_header_footer","format":"standard","meta":{"footnotes":""},"categories":[270,247,151,196],"tags":[],"class_list":["post-7543","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-science-ro","category-science","category-technology","category-technology-ro"],"_links":{"self":[{"href":"https:\/\/vendor.energy\/ro\/wp-json\/wp\/v2\/posts\/7543","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vendor.energy\/ro\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/vendor.energy\/ro\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/vendor.energy\/ro\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/vendor.energy\/ro\/wp-json\/wp\/v2\/comments?post=7543"}],"version-history":[{"count":45,"href":"https:\/\/vendor.energy\/ro\/wp-json\/wp\/v2\/posts\/7543\/revisions"}],"predecessor-version":[{"id":26388,"href":"https:\/\/vendor.energy\/ro\/wp-json\/wp\/v2\/posts\/7543\/revisions\/26388"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/vendor.energy\/ro\/wp-json\/wp\/v2\/media\/7449"}],"wp:attachment":[{"href":"https:\/\/vendor.energy\/ro\/wp-json\/wp\/v2\/media?parent=7543"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vendor.energy\/ro\/wp-json\/wp\/v2\/categories?post=7543"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vendor.energy\/ro\/wp-json\/wp\/v2\/tags?post=7543"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}