**1.1 ** Describe, construct and revise the bus admittance matrix of a power system

**1.2** Describe, construct and revise the bus impedance admittance matrix of a power system

**2.1** Solve a linear system of equations by iterative and direct methods such as LDU factorization and describe and interpret the effects of sparsity

**2.2** Solve a set of nonlinear algebraic equations (arising from load flow analysis) by iterative techniques

**2.3** Solve differential equations (arising from stability analysis) by numerical integration techniques

**3.1** Describe and formulate the load flow problem

**3.2** Solve the load flow problem by numerical techniques (Gauss-Seidel, Newton Raphson, FDLF) and interpret the results

**3.3** Identify and explain the impact of controlling parameters in a load flow problem

**3.4** Use a professional power system analysis software

3.5 Analyze and redesign a power system based on technical and economic criteria, generate (propose) alternative solutions and justify their proposals

**4.1** Employ sequence bus impedance matrices in the solution of unbalanced faults

**4.2** Solve and analyze unbalanced faults through impedances

**5.1** Describe and formulate the stability problem in a power system and explain the Swing equation

**5.2** Describe the equal area criterion for stability determination

**5.3 **Apply numerical integration techniques and/or equal area criterion to determine the transient stability of one- or two-machine systems.