EE 4721 Introduction to Power System Analysis Questions

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EE 4721 Introduction to Power System Analysis Fall 2021 Homework 1, Online Submission on Canvas Problem 1. For the system below, calculate the average real power for each of the following cases: [15 points] a) v(t) = 20 cos(377t + 45◦ ) V, i(t) = 5 sin(377t − 45◦ ) A. [5 points] b) v(t) = 20 sin(377t + 30◦ ) V, i(t) = −5 cos(377t + 45◦ ) A. [5 points] c) V = 80 − j40 V(rms), I = −j5 A(rms). [5 points] 1 EE 4721 Introduction to Power System Analysis Fall 2021 Problem 2. Consider √ a single phase load in a 60 Hz system that draws a current i(t) = when a voltage v(t) = 2(400) cos (ωt + 30◦ ) is applied to it. Compute: √ 2(25) sin (ωt − 30◦ ) [10 points] (A) the instantaneous power, the peak value, and frequency of the instantaneous power. [4 points] (B) the average real power. [2 points] (C) the reactive power. [2 points] (D) the total complex power. [2 points] 2 EE 4721 Introduction to Power System Analysis Fall 2021 Problem 3. The real power delivered by a source to two impedances, Z1 = 3 + j5 Ω and Z2 = 10Ω, connected in parallel, is 2000 W. Determine the real power absorbed by each of the impedances. [10 points] 3 EE 4721 Introduction to Power System Analysis Fall 2021 EE4721 Introduction to Power System Analysis Fall 2016 Problem 4. You are given a simple RL circuit. (Vm : voltage magnitude, f : voltage frequency, φv : 2. Youphase are given a simple RL the circuit. (V : voltage magnitude, f: voltage frequency, ϕ : voltage angle) voltage angle). Answer following questions. [15phase points] i R = 2Ω V = 169.7 [V] f = 60 [Hz] ϕ = 0° a L = 42.4mH R = 6Ω b 1. Calculate current, i, in phasor form. [5 points] 2. Calculate power factor. [5 points] Answer the following questions. [10 points] 1) add Calculate current,ati,ain−phasor form. [3capacitance points] 3. We a capacitor b. Calculate to make power factor unity. 4 [5 points]
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HOMEWORK 1, ONLINE SUBMISSION ON CANVAS

PROBLEM 1.
Average real power; Pavg =

Vm (vmax)×Im (max)
2

cos(φ),

where φ is the phase difference between current and voltage.

a) .

Vm = 20 V, Im = 5 A, cos(φ) = cos(90) =...


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