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(exclude_from_sim no) (at 353.822 95.25 90) (effects (font (size 0.635 0.635) ) ) (uuid "983f7d12-ed49-4896-8cc8-132d4af9bec3") ) (text "KEEP THIS WIRE SHORT, \nCritical loop!" (exclude_from_sim no) (at 243.078 57.15 90) (effects (font (size 0.635 0.635) ) ) (uuid "cd3ddcb0-de6f-4ce0-9b84-173c8c103801") ) (text "KEEP THIS WIRE SHORT, \nCritical loop!" (exclude_from_sim no) (at 357.378 133.35 90) (effects (font (size 0.635 0.635) ) ) (uuid "db28989e-aea5-4e21-992d-bbe555c4ac6a") ) (text "KEEP THIS WIRE SHORT, \nCritical loop!" (exclude_from_sim no) (at 331.978 57.15 90) (effects (font (size 0.635 0.635) ) ) (uuid "f4075055-20bc-4054-a6e8-9b469b0ce306") ) (text_box "2-3 -> GND -> Spread Spectrum off\n2-1 -> vcc -> Spread Spectrum on (Default)\n" (exclude_from_sim no) (at 163.83 209.55 0) (size 57.785 15.24) (margins 0.9525 0.9525 0.9525 0.9525) (stroke (width 0) (type solid) ) (fill (type none) ) (effects (font (size 1.27 1.27) (thickness 0.1588) ) (justify left top) ) (uuid "105fab23-e6ba-4b8e-b2ac-464155a00d68") ) (text_box "Filtereckfrequenz 8Khz\nEin normaler Elko hätte hier ein zu hohes ESR und kann \ndamit nicht gut genug Dämpfen.\n" (exclude_from_sim no) (at 102.87 16.51 0) (size 38.1 10.16) (margins 0.9525 0.9525 0.9525 0.9525) (stroke (width 0) (type solid) ) (fill (type none) ) (effects (font (size 1.27 1.27) ) (justify left top) ) (uuid "136bd59a-86d3-41ed-8ced-ecfc2e27a79b") ) (text_box "Default: Diode Emulation Mode: 1-2" (exclude_from_sim no) (at 107.315 94.615 0) (size 45.72 4.445) (margins 0.9525 0.9525 0.9525 0.9525) (stroke (width 0) (type solid) ) (fill (type none) ) (effects (font (size 1.27 1.27) ) (justify left top) ) (uuid "2df1df53-0194-492a-9ab5-da15219fa60a") ) (text_box "Usoll 14,4, \nUsoll mit verwendeteten R's: 14,43V\nUist(gemessen):" (exclude_from_sim no) (at 288.29 237.49 0) (size 24.13 11.43) (margins 0.9525 0.9525 0.9525 0.9525) (stroke (width 0) (type solid) ) (fill (type none) ) (effects (font (size 1.27 1.27) ) (justify left top) ) (uuid "317cb763-c8c3-40eb-b2a8-e593a9967010") ) (text_box "SMD und Polymer Kondensatoren sind so gewählt, \ndass wir den maximalen Ripplestrom nicht überschreiten.\nKapazität wäre eigentlich etwas wenig, wir schließen aber ja\neine Batterie mit bedeutetend größerer Kapazität an. " (exclude_from_sim no) (at 347.98 148.59 0) (size 50.8 19.05) (margins 0.9525 0.9525 0.9525 0.9525) (stroke (width 0) (type solid) ) (fill (type none) ) (effects (font (size 1.27 1.27) ) (justify left top) ) (uuid "5921824e-2ea2-4e34-850a-5af960aef3ee") ) (text_box "Berechnung sagt mindestens 40µH für <2% Ripple. und 8A RMS Strombelastung.\n3 Kondensatoren parallel können hier 9A verkraften\nDie SMD können auch maximal 4A / Stück verkraften" (exclude_from_sim no) (at 203.2 16.51 0) (size 101.6 10.16) (margins 0.9525 0.9525 0.9525 0.9525) (stroke (width 0) (type solid) ) (fill (type none) ) (effects (font (size 1.27 1.27) ) (justify left top) ) (uuid "723ac462-9db5-4209-89bf-5831fde49be4") ) (text_box "1x 100k+ 4*12k+1x100k = 2.881k --> 28,8V\nClose Jumper for 24V System" (exclude_from_sim no) (at 314.96 237.49 0) (size 49.53 10.16) (margins 0.9525 0.9525 0.9525 0.9525) (stroke (width 0) (type solid) ) (fill (type none) ) (effects (font (size 1.27 1.27) ) (justify left top) ) (uuid "a38a1d3f-f05a-4ed5-949d-b34f82fc54fd") ) (text_box "Bei RCs 3,3 mOhm --> 3,3 mV/A --> Imon = 6,6µA / A --> Bei Rimon = 10k --> 66mV / A \nBei RCs 5 mOhm --> 5 mV/A --> Imon = 10µA / A --> Bei Rimon = 10k --> 100mV / A" (exclude_from_sim no) (at 67.31 69.85 0) (size 105.41 8.89) (margins 0.9525 0.9525 0.9525 0.9525) (stroke (width 0) (type solid) ) (fill (type none) ) (effects (font (size 1.27 1.27) ) (justify left top) ) (uuid "af60d88e-f8c3-48d6-a52f-fd7aa5dab844") ) (text_box "100mV/A" (exclude_from_sim no) (at 163.83 105.41 0) (size 26.67 5.08) (margins 0.9525 0.9525 0.9525 0.9525) (stroke (width 0) (type solid) ) (fill (type none) ) (effects (font (size 1.27 1.27) ) (justify left top) ) (uuid "c738edb3-4669-4bc0-a477-407092ce3119") ) (text_box "Damping\nCapacitor" (exclude_from_sim no) (at 172.72 16.51 0) (size 11.43 10.16) (margins 0.9525 0.9525 0.9525 0.9525) (stroke (width 0) (type solid) ) (fill (type none) ) (effects (font (size 1.27 1.27) ) (justify left top) ) (uuid "dfea9f5d-f9f8-4a7e-be03-8d8d25a59c32") ) (text_box "Gerne. Ich rechne das **transparent Schritt für Schritt** durch und mache dabei die **notwendigen Annahmen explizit**, denn ohne zulässige Eingangsripple-Spannung ist die Kapazität nicht eindeutig bestimmbar.\n\n---\n\n## 1. Grundannahmen und bekannte Daten\n\n**Gegeben:**\n\n* Eingangsspannung:\n ( U_{in} = 14{,}4 \\dots 14{,}8,\\text{V} ) → Worst Case: **14,4 V**\n* Ausgangsspannung:\n ( U_{out} = 12,\\text{V} )\n* Ausgangsstrom:\n ( I_{out} = 16,\\text{A} )\n* Induktivität:\n ( L = 10,\\mu\\text{H} )\n* Timing-Widerstand:\n ( R_t = 47,\\text{k}\\Omega )\n\n---\n\n## 2. Schaltfrequenz des LM5190\n\nAus dem Datenblatt (Faustformel):\n\n[\nf_{SW} \\approx \\frac{1}{R_t \\cdot 1{,}1 \\cdot 10^{-10}}\n]\n\n[\nf_{SW} \\approx \\frac{1}{47,000 \\cdot 1{,}1 \\cdot 10^{-10}}\n\\approx 193,\\text{kHz}\n]\n\n---\n\n## 3. Tastgrad (Worst Case)\n\n[\nD = \\frac{U_{out}}{U_{in}} = \\frac{12}{14{,}4} \\approx 0{,}83\n]\n\n---\n\n## 4. Eingangsrippelstrom des Kondensators\n\nFür einen Buck-Wandler gilt:\n\n[\nI_{CIN,\\text{RMS}} = I_{out} \\cdot \\sqrt{D(1-D)}\n]\n\n[\nI_{CIN,\\text{RMS}} = 16 \\cdot \\sqrt{0{,}83 \\cdot 0{,}17}\n\\approx 6{,}0,\\text{A}\n]\n\n⚠️ **Das ist extrem wichtig:**\nDie Eingangskondensatoren müssen **mindestens 6 A RMS Ripple-Strom** vertragen (oft limitierender als die Kapazität!).\n\n---\n\n## 5. Annahme für zulässige Eingangsripple-Spannung\n\nTypisch für Automotive / Power-Design:\n\n[\n\\Delta U_{in} = 0{,}3,\\text{V} \\quad (\\approx 2%)\n]\n\n---\n\n## 6. Berechnung der minimalen Kapazität\n\nFormel:\n\n[\nC_{in} \\ge \\frac{I_{out} \\cdot D(1-D)}{f_{SW} \\cdot \\Delta U_{in}}\n]\n\n[\nC_{in} \\ge \\frac{16 \\cdot 0{,}83 \\cdot 0{,}17}{193,000 \\cdot 0{,}3}\n]\n\n[\nC_{in} \\ge 39,\\mu\\text{F}\n]\n\n---\n\n## 7. Ergebnis (rechnerisches Minimum)\n\n**Theoretisches Minimum:**\n\n[\n\\boxed{C_{in,\\text{min}} \\approx 40,\\mu\\text{F}}\n]\n\n---\n\n## 8. Praktische Empfehlung (sehr wichtig)\n\nIn der Praxis solltest du:\n\n* **Mindestens 2-3× Reserve** einplanen\n* Mehrere Kondensatoren parallel einsetzen (ESR + Ripple!)\n\n**Empfohlenes Layout:**\n\n* 2× 47 µF Keramik (X7R, ≥25 V)\n* * optional 1× 100 µF Low-ESR Polymer\n\n➡️ **Effektive Kapazität:**\n[\n\\boxed{100 \\dots 150,\\mu\\text{F}}\n]\n\n---\n\n## 9. Zusammenfassung\n\n| Punkt | Wert |\n| ------------------------- | -------------- |\n| Min. berechnete Kapazität | **≈ 40 µF** |\n| Empfohlene Praxis | **100-150 µF** |\n| Ripple-Stromanforderung | **≥ 6 A RMS** |\n| Schaltfrequenz | **≈ 193 kHz** |\n\n---\n\nWenn du möchtest, rechne ich dir das auch:\n\n* für **andere Ripple-Spannungen**\n* inkl. **ESR-Ripple**\n* oder **exakt nach TI-Design-Guide für den LM5190**\n" (exclude_from_sim no) (at 430.53 -5.08 0) (size 198.12 303.53) (margins 0.9525 0.9525 0.9525 0.9525) (stroke (width 0) (type solid) ) (fill (type none) ) (effects (font (size 1.27 1.27) ) (justify left top) ) (uuid "e8db5dbe-c8fb-4d86-b83e-d054e2217bd4") ) (text_box "Ein kurzer wegfall des PWM Signal sorgt für reduzierung des Pegel am Iset und damit für stärkere Begrenzung des Stroms\nEin langer wegfall des Steuersignal schaltet den IC komplett ab\n" (exclude_from_sim no) (at 41.91 208.28 0) (size 85.09 13.97) (margins 0.9525 0.9525 0.9525 0.9525) (stroke (width 0) (type 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