2. Overview of Features

This overview is split into features that only apply to electrical circuits, and features pertaining to system design and analysis in general.

Electrical systems

For circuits containing...

• Independent and/or dependent voltage/current sources.
• Resistors, capacitors and inductors.
• Ideal operational amplifiers.

...the program is able to...

• Transmute the circuit, by...
  • Converting parallel and series to equivalents.
  • Shorting and opening individual elements.
  • Find AC- and DC-equivalent circuits.
  • Convert to netlist.
• Analyze the circuit, by...
  • Defining system equations using Modified Nodal Analysis.
  • Finding pure symbolic, partial or numerical expressions for...
    • Each node voltage.
    • Voltages across each element.
    • Currents through each element.
    • Impedance of each element.
  • Finding symbolic/numerical transfer function.
  • Convert numerical transfer function to systen object.
• Visualize circuit behavior, by plotting...
  • Step- and impulse-response.
  • Pole-zero diagram.
  • Bode diagram (amplitude and phase).
  • Nyquist diagram.

System design

For any system, the program...

• Can create a system object from...
  • Differential equations and initial conditions.
  • Transfer function expression.
  • State-space.
• Can access the stability of the system, using...
  • A symbolic Routh-Hurwitz array.
  • Pole-zero diagrams.

When you have a system object, MATLAB is capable of handling the analysis. I plan to extend and abstract this functionality in the future.