Use factorial notation to find the solution of the given questions.
1. Derive the basic equations for the load flow study using the Gauss-Seidel method. With respect to this method, explain the following:
i) Acceleration factor.
ii) Handling of PV buses.
2. Find all solutions of 5x + ln(x) = 10000, correct to 4 decimal places using the Newton-Raphson Method.
3. A synchronous generator, capable of developing 500 MW power per phase, operates at a power angle of 8 degrees. By how much can the input shaft power be increased suddenly without loss of stability? Assume that Pmax will remain constant.
4. Derive the swing equation of a synchronous machine connected to an infinite bus and mention the factors affecting transient stability.
5. Discuss in detail the generation and absorption of reactive power in power system components.
6. What is the function of a Governor in a Steam Turbine and explain the working principle of an automatic voltage regulator. Give the names of methods used in voltage control in an AC supply system.
7. Write a note on the evolution of EMS and SCADA. What are the functions and benefits of EMS? Draw the EMS architecture.
8. Explain briefly a spot market model for pricing derivatives in electricity markets.