MATLAB Code: Kundur Example 12.6

I am implementing Example 12.6 from “Power System Stability and Control, 2/e” by Prabha Kundur and now need a clean MATLAB reproduction of the entire exercise. The script (or function set) must walk through the same sequence of power-flow initialization, small-signal stability analysis, and the control actions presented in the text, returning numerical results that match the book’s tables and plots.

Please write the solution in modern MATLAB, structuring the workflow logically—data input section, Y-bus construction, power-flow solver, state-space assembly, eigen-analysis, and finally the control method demonstrations. Inline, provide detailed comments explaining every major step, the equations being coded, and any assumptions. Use built-in functions wherever that keeps the code concise (e.g., eig, fsolve, or power-flow routines from the Optimization Toolbox), but keep everything self-contained so I can run it in a fresh MATLAB session without additional toolboxes.

Deliverables
• One .m file (or a small set of clearly named .m files) replicating Example 12.6.
• On-screen printouts and/or plots that verify the power-flow, eigenvalues, and control responses against the published results.
• A brief README section at the top summarizing inputs, how to run the script, and where each result appears in the code.

Acceptance will be based on the code running error-free in MATLAB R2021a+, producing values and plots that align with those in the book to at least three significant figures, and containing the requested detailed commentary throughout.