Calculadora de Respaldo con Supercondensador
Calcula el tiempo de respaldo, energía almacenada y tiempo de carga de supercondensadores.
Fórmula
E = \frac{1}{2}C(V_{max}^2 - V_{min}^2),\quad t = \frac{E}{V_{avg} \cdot I_{load}}
Cómo Funciona
Supercapacitors are advanced energy storage devices that bridge the gap between traditional capacitors and batteries, offering rapid charge and discharge capabilities. They store electrical energy through electrostatic charge separation in an electric double layer, allowing for extremely fast energy transfer and high power density. The backup time calculation considers the available energy between maximum and minimum voltage levels, taking into account the load current and average voltage.
Ejemplo Resuelto
Problem: Calculate the backup time for a 3000F supercapacitor with maximum voltage of 2.7V and minimum operational voltage of 1.5V, powering a 0.5A load Solution: 1. Calculate energy: E = ½ · 3000F · (2.7²−1.5²) = 5,346 joules 2. Calculate average voltage: Vavg = (2.7 + 1.5)/2 = 2.1V 3. Backup time: t = 5,346J / (2.1V · 0.5A) = 5,091 seconds (≈85 minutes)
Consejos Prácticos
- ✓Always use datasheet specifications for accurate calculations
- ✓Consider temperature effects on supercapacitor performance
- ✓Design with a safety margin of 20-30% for realistic backup times
- ✓Monitor self-discharge rates for long-term energy storage applications
Errores Comunes
- ✗Neglecting voltage drop and actual usable energy range
- ✗Ignoring supercapacitor's internal resistance
- ✗Not accounting for self-discharge rate
- ✗Using theoretical maximum energy without considering practical limitations
Preguntas Frecuentes
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