Question 1: Six BP 3230T solar panels (datasheet is available at end of assignment) are connected in series to create a solar array. The boost converter connects the solar string to a 3-phase gird-tied inverter (line to line grid voltage VAB1= 208 V, 60 Hz, sinusoidal pulse width modulated). It is required to operate the grid-tied inverter with 0.8 modulation index, leaving 20% margin for adjustment during system transients. The switching frequency fs of the boost converter is 10 kHz. Answer the following questions when the converter operates in steady-state: Dependence of the temperature Dependence of the irradiance Current (A) 6 20 40 Voltage (V) Cument() 4 3 2 60 0 10 15 20 25 30 35 Voltage (V) 9 K T - - - Electronic charge: 1.6 x 10-19 Coulombs Boltzmann's constant: 1.38 x 10 - 23J/K Absolute temperature: 273 +25 Kelvin n Diode ideality factor: ideally n = 1 I。 - Cell reverse - saturation current: 10 - 12 A/cm2 IL - Cell photocurrent: 37.5 mA/cm2/Sun (1 Sun = 1 kW/m2) Calculate the following: a) Based on the graphs above, what is the maximum input voltage (Voc = Vi(max)) at 0°C? (Remember that this accounts for ONE module, there are 6 in series for this problem) Vi(max) = Voc * 6 b) Based on the graphs above, what is the maximum input voltage (Voc = Vi(min)) at 75°C? (Remember that this accounts for ONE module, there are 6 in series for this problem) VMPP = 0.8+ Voc→ Vi(min) = Vmpp * 6 c) Calculate V. Note: VAB1 = 0.612 Voma * VAB1 V₁ = 0.612 ma d) The maximum and minimum duty ratios (Dmax and Dmin) Dar=1-. Vi(min) Vo DMin = 1-Vi(max) V e) The output power, average output current, and maximum inductor current (Po, 10, 111(max)) Po = PMax * 6 Po ILI(Max) V₁ - 10 1 - Durat f) The minimum value of the inductance to operate at the boundary of CCM L₁,min- L1.Min = 0.074 10 g) The output capacitor value (Cmin) for the maximum allowable output voltage ripple of 8%. AV = 0.08 * Vo Cmin = IoD MaxTs AV。 230W Photovoltaic module BP 3230T Electrical characteristics (1) STC 1000W/m² (2) NOCT 800W/m² Maximum power (Pmax) 230W 165.6W Voltage at Pmax (Vipp) 29.1V 25.9V Current at Pimax (Impp) 7.90A 6.32A Short circuit current (Isc) 8.40A 6.80A Open circuit voltage (Voc) 36.7V 33.4V Module efficiency 13.8% Tolerance -3/+5% 20V Nominal voltage Efficiency reduction at 200W/m² Limiting reverse current Temperature coefficient of Isc <5% reduction (efficiency 13.1%) 8.40A (0.065±0.015)%/C -(0.36±0.05)%/C Temperature coefficient of Voc Temperature coefficient of Pax -(0.5±0.05)%/C NOCT 47±2°C Maximum series fuse rating 20A Application class (according to IEC 61730:2007) Class A Maximum system voltage (U.S. NEC rating) 600V (U.S. NEC rating: 1000V (IEC 61730-2007) 1: Values at Standard Test Conditions (STC): 1000W/m² irradiance, AM1.5 solar spectrum and 25°C module temperature 2: Values at 800W/m² irradiance, Nominal Operation Cell Temperature (NOCT) and AM15 solar spectrum 3: Nominal Operation Cell Temperature: Module operation temperature at 800W/m² irradiance, 20°C air temperature, 1m/s wind speed All solar modules are individually tested prior to shipment; an allowance is made within our factory measurement to account for the typical power degradation (LID effect) which occurs during the first few days of deployment.