1. A single-phase load is supplied with a sinusoidal voltage v(t) = 200 cos (377t) The resulting instantaneous power is P(t) 800+1000cos (754t - 36.87°) = (a) Find the complex power supplied to the load. (b) Find the instantaneous current i(t) and the rms value of the current supplied to the load (c) Find the load impedance (d) Use MATLAB to plot v(t), p(t), and i(t) = p(t)/v(t) over a range of 0 to 16.67 ms in steps of 0.1 ms. From the current plot, estimate the peak amplitude, phase angle and the angular frequency of the current, and verify the results obtained in part (b). 2. A circuit consisting of applied voltage and an impedance Z has the following parameters: v(t) = 4cos(wt+60°) V and Z = 2L30° Q. Determine the equations for the current and the instantaneous power as a function of time and plot these functions with the voltage on a single graph for comparison.

1. A single-phase load is supplied with a sinusoidal voltage v(t) = 200 cos (377t) The resulting instantaneous power is P(t) 800+1000cos (754t - 36.87°) = (a) Find the complex power supplied to the load. (b) Find the instantaneous current i(t) and the rms value of the current supplied to the load (c) Find the load impedance (d) Use MATLAB to plot v(t), p(t), and i(t) = p(t)/v(t) over a range of 0 to 16.67 ms in steps of 0.1 ms. From the current plot, estimate the peak amplitude, phase angle and the angular frequency of the current, and verify the results obtained in part (b). 2. A circuit consisting of applied voltage and an impedance Z has the following parameters: v(t) = 4cos(wt+60°) V and Z = 2L30° Q. Determine the equations for the current and the instantaneous power as a function of time and plot these functions with the voltage on a single graph for comparison.

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter2: Fundamentals

Section: Chapter Questions

Problem 2.30MCQ: Under balanced operating conditions, consider the three-phase complex power delivered by the...

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