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PSPICE Asssignments for Students Excused from Lab. Exercise 1 For the circuit shown, use PSpice and Probe to graph the instantaneous voltage, current and power over one cycle. R 8 v(t ) 169.71sin 2 ft V f 60 Hz jX j 6 The initial current in the inductor is given to be -10.1826 A. The result is shown below. 1 Exercise 2 For the circuit shown, use PSpice and Probe to graph the real and reactive powers delivered to the circuit as a function of frequency. Use the AC analysis to sweep the source frequency from 300 Hz to 500 Hz in steps of 1 Hz and Probe to obtain one graph showing real and reactive power supplied by the source and another graph showing power factor as a function of frequency. Determine the source frequency for unity power factor. The circuit impedance is 109 800000 (1) Z 50 j 2 f (0.7958) 50 j 5 f 2 f (198.94) f The real power is I m2 I m2 P R 50 (2) 2 2 and the reactive power is I2 800000 I m2 Q X m 5 f (3) 2 f 2 The power factor is 800000 5f f cos cos tan 1 (4) 50 In probe, select Plot control and Add Plot to create two graphs on the screen. Select Xaxis and set the range to change the frequency axis scale to 350 450 Hz. Using Add Trace plot P and Q with the trace expressions given by (2) and (3). Use Plot Control, select plot and down key to switch to the lower graph and using Add Trace add the power factor with the Trace Expression as given by (4). Using the cursor command you can move along the plot with the right or left arrows. The co-ordinates at which the cursor is located are displayed on the lower right hand of the screen. You can select between different plots by holding down the control key while pressing the right or left arrow keys. Using the Label command you can add text, lines and arrows to the plot. The plot produced on the probe is shown below. From the plots we see that the circuit changes from capacitive to inductive at the series resonance frequency where reactive power is zero. 2 3 Exercise 3 A 3-phase line has an impedance of 3 + j4 . The line feeds two balanced three-phase loads that are connected in parallel. The first load is Y-connected and has an impedance of 30 + j40 /phase. The second load is delta connected and has an impedance of 60 j45 /phase. The line is energized at the sending-end from a 3-phase balanced supply of line to neutral voltage Van 2000 V (rms), 60 Hz. Determine (a) Current in the line for each phase. (b) Current in each phase of the Y-connected loads. (c) Current in each phase of the delta connected loads. 1a 3 j 4 Ia 1b 2a 3 j 4 Ib 1c 2b 3 j 4 2c Ic 3a 5 3b 3c 0 4a 4b 4c IYa IYb IYc Ibc 6 Iab Ica 7 60 j 45 30 j 40 0 4 10.61 mH 2 (60) 40 The Y-connected load inductance per phase is L 106.1 mH 2 (60) 1 The -connected load capacitance C 58.9463 F per phase is 2 (60)(45) The line inductance per phase is L From the above results the currents are: (a) The line currents I a 8.00 A , I b 8.0 120 A , and I c 8.0120 A (b) Currents in the Y-connected loads are: IYa 3.578 63.43 A , IYb 3.578176.6 A , and IYc 3.57856.57 A (c) Currents in the -connected loads are I ca 4.131176.6 A , I ab 4.13156.57 A , and I bc 4.131 63.43 A 4