Question

2. Consider a single PV module supplying power to a resistance load. The hour-by-hour I-V curves for the PV module are shown in Figure 1 along with the I-V curve for the resistance. For simplicity, consider each I-V curve to apply for one hour (e.g., the “8-am curve is from 7:30am to 8:30am. 1-sun means an absolutely sunny day. a. What is the load resistance? b. What is the total daily energy delivered to the load resistance (from 7:30am to 4:30pm)? c. Suppose the same resistive load is connected to two such modules wired together in series as shown in Figure 2 (a). Please estimate the total daily energy delivered to the load resistance. d. Suppose the same resistive load is connected to two such modules wired together in parallel as shown in Figure 2 (b). Please estimate the total daily energy delivered to the load resistance. Resistance load 1-sun = 1000 W/m2 Noon 11am and 1 pm 10 am and 2 pm Current (amps) 1 9 am and 3 pm 8 am and 4 pm 0 2 4 6 8 10 12 14 16 18 20 22 V (volts) Figure 1. I-V curves for the PV module and the resistance load R SR Modules in series Modules in parallel (a) (b) Figure 2. two PV modules connection

Answer 1

sod! bocol menintamee Re= ? Take any one time period, let say gam and 3pm, then the Load serialomee RLST = 437 The same equation will satisfy for other time ? also, you can verity it. b) Total energy delivered ? Sam and 4 pm total time period. is a hon. pour gununated = 1A*4V = 4W. Energy supplied to the load in Sam and 4pm duration is = 4*2hs like wire in gam and 3pm is Ex= 2*8*2 = 32 Wh. 10 am and 2 pm Ez = 3*12*2 = 72 Wh. E =8wh Dell am and 1pm Ex = 4*16*2= 128 Wh. @ 12 noon Es = 5*20*1 = 100wh. on one sunny Total energy supplied from the PV panel day = 5, +Ex +Ez +€4 +Es = 340 Wh. Scanned with CamScanner

fashion then I-v cha It two panels are connected -racteristica looks like shown in in Serien fig- R-line Sam and 4pm R2=40 As the rexintone remains sone the energy supplied is also sane in Care of Series Connection, because the lood anixtone should match with Her Source resistance in order to track' mpp' but in this cane Rs will be 26 Rs = 2RL 1000w/t (cne to skidy) d) Site we Connect panels in Parallel forhion then Rs = R2@ 1000 wlm irradiation @ nan time But here abo pawer supplied will be almont Constant. at you want to calculate again, then find prwer supplied by I.V Characterin tien, simply current will be double where as voltage remains same, power can be Calculated by overlapping R-line on character- intia. Scanned with CamScanner