Problem 1: Space Vector PWM (60 Points) Suppose the three-phase sinusoidal voltage reference for the three-phase dc-ac inverter, operating at a frequency f = 60Hz, is: Vao-ref= 120√3 * cos(wt) 2π vbo-ref= 120√3* cos(wt- 3 2π Vco-ref= 120√3* cos(wt + 3 Where 'o' is the neutral of the wye-connected load at the ac output of the three-phase inverter. Classical space vector PWM (SVPWM) is used to control the inverter. Given Vdc = 600 V, and fs = 10 kH, answer the following questions: A. When t = 0.002s: i. ii. iii. Determine the sector in which the reference voltage lies. (5 points) Identify the active switching voltage vectors and calculate the switching time intervals for each voltage vector. (10 points) Draw (i.e., hand-drawn) the sequence of switching states for S1, S3, S5 and mark the time intervals. (5 points) B. When t = 0.006s i. ii. iii. Determine the sector in which the reference voltage lies. (5 points) Identify the active switching voltage vectors and calculate the switching time intervals for each voltage vector. (10 points) Draw (i.e., hand-drawn) the sequence of switching states for S1, S3, S5 and mark the time intervals. (5 points) i. C. When t = 0.011s Determine the sector in which the reference voltage lies. (5 points) ii. Identify the active switching voltage vectors and calculate the switching time intervals for each voltage vector. (10 points) iii. Draw (i.e., hand-drawn) the sequence of switching states for S1, S3, S5 and mark the time intervals. (5 points)