Circuit Stability [writing…]
Project Overview
In the "Circuit Stability" project, I designed a visual program in Processing language to analyze the stability of electrical circuits. The program takes equations of electrical circuits in Z-transform, assesses stability by analyzing its zeros and poles, and creates an animation that shows the change of phase with frequency.
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Business Value
The Circuit Stability program has significant educational value, providing a visual representation of complex calculations and analysis that is invaluable in teaching students about electrical circuits. Additionally, it has practical applications, allowing users to determine the stability of actual electrical circuits by analyzing their zeros and poles.
With its easy-to-use interface and powerful analytical capabilities, the Circuit Stability program can help electrical engineers and students to quickly and easily identify potential issues in electrical circuits, avoiding costly mistakes and ensuring the safety and reliability of their designs.
Technical Details
The Circuit Stability program is built using Processing language and takes equations of electrical circuits in Z-transform as input. It analyzes the zeros and poles of the circuit to assess its stability and creates an animation that shows the change of phase with frequency.
To create the animation, the program gradually increases the frequency and draws vectors from all poles and zeros to the frequency point of the Complex Plane. The sum of all angles of vectors is used to find the phase shift of the input signal, which is then drawn in polar coordinates. If the phase shift increases or decreases monotonically with frequency, then the circuit is stable. If not, there may be a strong resonant frequency that could create a generator loop in the circuit.
During the project I implemented several sophisticated data structures like Class of complex numbers with self-defined operators for complex numbers multiplications, divisions, additions and subtractions. The project also included several challenges with equation reading as the reader was implemented from scratch. Finally, the animation of phase angles required some smart language use to represent the change smoothly.
Results
The Circuit Stability program has been successfully tested on various electrical circuits, accurately assessing their stability and identifying potential issues. The program has proven to be a valuable tool for both educational and practical applications.
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Future Works
The Circuit Stability program has many potential directions for further development, such as adding support for more complex circuits, improving the graphical user interface, and integrating it with other tools used in electrical circuit design. Additionally, incorporating machine learning techniques could help to further enhance the accuracy and speed of circuit analysis. Overall, there is much potential for future improvements in the field of electrical circuit stability analysis.
