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Electrical Engineering - ELEN 302

Networks I

• Discuss the characteristics of a network: the frequencies of its sources, whether its sources are dependent or independent, the linearity of its components, the topology of the network, etc.
• Describe a sinusoidal waveform in terms of its frequency in radians per second and magnitude.
• Calculate the periods, frequencies in Hertz, and phase angle separation given two sinusoidal waveforms.
• Convert sinusoidal waveforms to phasors – expressed in rectangular, polar, and exponential form.
• Add, subtract, multiply and divide phasors representing voltage or current.
• Use Euler’s Identity to convert phasors in exponential form to phasors in polar form.
• Convert a phasor domain representation to a time domain representation, given the source frequency.
• Describe R, L, and C current and voltage relationships in the time domain and the frequency domain.
• Use Kirchoff’s Laws in the frequency domain to analyze circuits.
• Combine impedances and admittances using frequency domain expressions.
• Calculate the phase shift associated with a circuit containing energy storage elements.
• Use A.C. bridges to measure inductance and capacitance.
• Apply the superposition theorem, source transformation, mesh analysis, and nodal analysis using phasors.
• Calculate the Thevenin equivalent impedance and open circuit voltage for a circuit using frequency domain representation.
• Solve ideal op-amp circuits using frequency domain expressions.
• Calculate the instantaneous and average power absorbed by an element in a single phase circuit.
• Calculate the value of a complex load to achieve maximum power transfer.
• Calculate the rms value of a periodic function if it is not sinusoidal.
• Use the maximum and rms value of sinusoidal voltages and currents to calculate average power delivered.
• Relate power factor, active, reactive, and apparent power quantities using the “power triangle.”
• Calculate the capacitance needed to correct the power factor in a single phase or three phase system.
• Determine electricity costs using fixed and variable costs for energy.
• Understand the conditions for balanced, symmetrical three phase power supply.
• Use per phase analysis to determine all of the currents and voltages in Wye-Wye, Delta-Delta, Wye-Delta, and Dela-Wye three phase balanced systems.
• Calculate the currents and voltages in unbalanced three phase systems.
• Understand the approach used in residential electrical wiring and applicable national codes.
• Identify the voltages associated with both conductive and magnetic coupling between two circuits.
• Calculate total inductance taking into account self inductance, mutual inductance, and polarity.
• Calculate the energy stored in inductive circuits including the effect of mutual inductance.
• Develop a model for a linear transformer taking into account winding losses.
• Reflect a load impedance on the secondary side of a transformer to the primary side of the transformer.
• Calculate the power ratings of ideal transformers when connected as auto-transformers.
• Determine the line to line voltage ratio of a three phase transformer comprised of three single phase transformers connected Wye-Wye, Delta-Delta, Wye-Delta, and Dela-Wye.
• Discuss the use of transformers as isolation devices and as matching devices.
• Calculate various transfer functions as a means of analyzing the frequency response of circuits.
• Plot the magnitude and phase response of simple circuits to different input frequencies.
• Determine the poles and zeros of a transfer function.
• Draw Bode Plots showing the response of simple circuits to different input frequencies.
• Calculate series and parallel resonance frequencies for various circuits.
• Calculate half power frequencies, bandwidths, and quality factors for various circuits.
• Determine if a circuit can be used as a low pass, high pass, band pass, or band reject filter.
• Use magnitude and frequency scaling to use different components for filter design.
• Convert a time domain function to the corresponding Laplace transform.
• Understand the conditions for and benefits from Laplace Transformation.
• Apply the properties of the Laplace Transform (linearity, scaling, time shifting, etc.)
• Use Laplace transform table to convert input signals from the time domain to the frequency domain.
• Apply the initial value theorem and final value theorem, taking into account stability considerations.
• Find the inverse Laplace Transform for simple poles, repeated poles, complex poles, and repeated complex poles.
• Apply the convolution integral.
• Convert sources and circuit elements into s-domain equivalents.
• Use circuit techniques to solve for voltages and currents as s-domain quantities.
• Understand how state variables are used in circuit analysis.

Prepared by Dr. Fred Denny