Topics in Electrical Engineering

ptc-5133430 · ‎Oct 09, 2013

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These worksheets carry out common design calculations from several different branches of electrical engineering. These applications use PTC Mathcad's complex arithmetic, matrix operators, equation solving power, and plotting capabilities to provide a reference source of PTC Mathcad methods and formulas. This E-book includes the following applications:

electromagnetics, including transmission lines/Smith charts
circuit and feedback analysis
signal processing techniques
filter and transfer functions

Worksheets marked with use PTC Mathcad premium features, otherwise they are Express compatible. All worksheets created in PTC Mathcad Prime 3.0.

Chapter	Worksheet Name	Description
0. Front Matter	About Topics in Electrical Engineering	This worksheet includes an overview of Topics in Electrical Engineering and notes on Copying, Units and the Layout of PTC Mathcad Prime 3.0 worksheets.
1. Field Patterns of a Uniform Linear Antenna Array	Field Patterns of a Uniform linear Antenna Array	Calculates the far-field radiation pattern of a uniformly spaced linear antenna array as a function of azimuth angle, and displays the field pattern as both an azimuth distribution and a power pattern.
2. Properties of Waveguides	1-D Waveguides: Striplines	Calculates characteristics for a stripline, modeled as a one dimensional waveguide.
	2-D Waveguides	Calculates various quantities for rectangular waveguides. For a 2-D waveguide, cutoff frequencies and guide wavelengths are calculated.
	3-D Resonators	Calculates the resonant frequency and Q-factor for a 3-D cavity resonator.
	Circular Waveguides: Coaxial Lines	Illustrates several calculations for a coaxial line. Calculations are available for the line's parameters: characteristic impedance, phase velocity, and attenuation.
3. Transmission Line Calculations	Impedance as a Function of z, w	Plots transmission line impedance as a function of frequency at a given distance from the termination. Using either characteristic impedance and phase velocity, or distributed shunt capacitance and distributed series inductance, the complex impedance is calculated.
	Reflection Coefficient Calcualtions	Shows how you can use PTC Mathcad's complex arithmetic and root function to carry out transmission line calculations. The examples include finding the reflection coefficient, load impedance, voltage standing wave ratio, and position of the voltage minimum and maximum along the transmission line. The final example finds the location and value of a shunt admittance for impedance matching.
	The Smith Chart	Provides a Smith chart which maps normalized impedance as a function of the reflection coefficient. The chart is used to plot a reflection coefficient corresponding to a given normalized load impedance, and subsequently to solve an impedance matching example. Graphical methodology and results are compared with Mathcad's complex arithmetic capability.
4. Network Analysis Using an Admittance Matrix	Network Analysis Using an Admittance Matrix	Uses an admittance matrix to solve for voltages in a network and plots the voltage gain and phase shift (Bode plots) for a range of frequencies.
5. Feedback Circuits and Stability Criteria	Bode Plots and Nichols Charts	Generates Bode plots, and finds the unity gain crossover, gain margin, phase margin, and resonant frequency for the circuit. This application also draws a Nichols chart, showing a contour of constant magnitude closed-loop gain.
	Root-Locus Technique	Gives examples which illustrate some of the calculations associated with root-locus design. Mathcad's root function is used to find closed-loop poles for a given gain factor, to find the gain and phase margins, and to calculate the damping ratio and find the gain factor corresponding to a given damping ratio.
	Polar Plots and Nyquist Plots	Constructs polar plots and Nyquist stability plots for system functions, and examines how the plots can be used to design stable systems. The polar plot example includes the method for drawing a contour of constant closed-loop magnitude. The Nyquist plot example shows a transfer function with one pole on the imaginary axis.
6. Two-Port Networks	Two-Port Networks	Converts among four sets of two-port parameters. Parameters in any one of these sets can be converted to any other set by casting them in a two-by-two matrix. Conversions are given by a transformation that accepts the given matrix, and returns the converted parameters in the same form.
7. American Wire Gauge Table	American Wire Gauge Table	Calculates the resistance per unit length for copper wire as a function of the AWG number, the temperature, and the frequency. Resistance is calculated for two regions of operation: DC operation at a particular temperature, and high frequency current operation.
8. Convolution and Deconvolution	Convolution and Deconvolution	Illustrates several techniques for carrying out convolution and deconvolution in PTC Mathcad.
9. Digitizing a Signal	Digitizing a Signal	Digitizes continuous or sampled signals.
10. Delta Modulation	Delta Modulation	Carries out delta modulation and adaptive delta modulation of an input signal and plots the step-function output and corresponding errors.
11. Z-Transform Applications	Z-Transform and Inverse Transform	Manipulates the z-transform and its inverse both numerically and algebraically.
	Linear Constant-Coefficient Difference Equations	Demonstrates sequence generation and closed-form solutions to a second-order difference equation. The difference equation is solved by z-transforming the equation and solving for the transform of the solution sequence.
12. Algebraic Codes	Algebraic Codes	Constructs a code table and H matrix corresponding to a given coding and error detection scheme.
13. IIR Filter Design	Analog / Digital Lowpass Butterworth Filter	Designs a lowpass digital IIR filter of the Butterworth type. A bilinear transformation is performed to create a digital filter from the analog design.
	Analog Elliptic Filter Design	Carries out design of an elliptic IIR lowpass analog filter.
	Digital Elliptic Filter Design	Carries out design of a discrete-time elliptic lowpass filter.
14. Chebyshev Polynomials	Chebyshev Polynomials	Generates an array containing the Chebyshev polynomial coefficients for a given polynomial.
15. Digital FIR Filter Design by Windowing	Digital FIR Filter Design by Windowing	Defines five standard windowing functions used in digital filter design: Bartlett, Hanning, Hamming, Blackman, and Kaiser. Two design examples illustrate the application of these functions.

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