Alternating Current Analysis 225
Sketch and plot sinusoidal wave forms
State the standard analytic form to represent a sinusoidal wave
Gain a working knowledge of the concepts of average, root-mean-square (RMS), or
effective value
Understand the concepts of leading and lagging
Understand the relationship between current and voltage in a resistive and reactive
network
Recognize that the derivative of a sinusoid is directly proportional to its frequency
(see Chapter 7 of the book titled Practical MATLAB® Basics for Engineers)
Recognize that the integral of a sinusoid is inversely proportional to its frequency
(see Chapter 7 of the book titled Practical MATLAB® Basics for Engineers)
Calculate the currents, voltages, and reactances in a series and parallel AC circuits
Learn and use complex numbers and notation to represent the electrical elements
in a resistive/reactive (RLC)* AC system
Recognize that the j operator is a 90° counterclockwise rotation angle, and the
j represents a 90° clockwise rotation angle in the complex plane
Understand that a phasor is a shorthand description or representation of a sinusoid
wave in which the frequency is not present and it is assumed to be constant
Solve simple series and parallel circuits using phasor techniques for currents, voltage,
power, and energy
Draw impedance diagrams
Recognize that the voltage and current divider rule in a phasor network can be
applied
Recognize that the DC circuit theorems are equally valid in AC networks such as
Thevenin, Norton, source transformation, and superposition
Convert a Y-AC phasor network into an equivalent ∆-AC phasor network, and vice
versa
Write a set of loop and nodal equations using phasor notation
State the maximum power theorems for the AC cases
Know the meaning of the power factor (PF)
Calculate the reactive power, apparent power, and effective power and construct
the network power triangle
State the conditions for the series and parallel resonant cases
Know the meaning of bandwidth (BW), and quality factor (Q) of a resonant circuit
Understand the concept of a three-phase (3 Φ) system
Calculate currents and voltages in a 3 Φ system with a balanced and an unbalanced
load
Solve a set of simultaneous phasor equations (loop or node equations)
Use many MATLAB® features in the analysis of AC circuits*^ RLC stands for resistive, inductive, capacitive network.