Introduction: Review of transmission lines; surge impedance loading; voltage profile along ra- dial and symmetrical lines, Ferranti effect, load flow analysis. Power systems dynamics, stability analysis, role of reactive power compensators; series, shunt and unified compensation; effect on power flow and voltage profile.

Active Front End Rectifiers: Power factor correction, single-phase and three-phase, vector control schemes. Operation and control of Grid-connected converters such as UPF FEC, STATCOM, UPS, harmonic compensator etc.

Power converters for microgrid and grid connection of renewable energy sources: design, control of converters, grid synchronization and filtering requirements, MPPT.

Lifetime estimation of power converters: Capacitor currents for various topologies, switch currents, thermal models and impact on lifetime.

Linear Algebra:

(a) Vector Spaces: Definition of Vector space, Sub spaces, linearly independence and depend- ence,linear Span, Basis, Dimension

(b) System of linear equations: Range space and Null space of a matrix, Rank of a matrix, Ex- istence and uniqueness of solution of the system of linear equations, Dimension of the Solution Space associated with the system of linear equations

(c) Eigen values and Eigen vectors: Definition of Eigen values and Eigen vectors of a square matrix and their properties including similarity matrices

Introduction: Electro-mechanical energy conversion, classification of electric drives,requirements of electric drives, four quadrant operation, selection of motors for different applications.

DC Motor Drives:DC-DC Converter fed drives, basic concepts, closed loop control, stability.

Asynchronous Motor Drives: Modeling of induction motors, reference frame theory, speed-torque characteristics, scalar control of induction motors, closed-loop operation, vector control and field orientation, sensor- less control, direct torque and flux control.

Filter implementation: Nth order IIR filter implementation, time constant relationship with sam- pling times, Nth order FIR filter implementation, memory requirements for filters, Sapling and quantization errors, outputs for different input signals.

Controllers (simulated plant): Implementation of a P controller, implementation of an I control- ler,implementation of a PI controller, implementation of a 2 DOF controller.

Familiarization of inverter modules architecture.

DC motor speed control - Speed control of DC motor with H-bridge using PWM.

Optional: Cascaded control of DC motor with inner current loop, and outer speed loop

V/f control of induction motor, sine PWM and Space vector PWM implementation with a 3- phase converter

Implementation of a single-phase PLL and a 3-phase PLL with hall-effect based voltage sen- sors and digital controllers

Analysis, Circuit design, schematics and layout of a 1-phase or a 3-phase 2-level inverter.