MTPS – 101 ADVANCE MATHEMATICS
Solution of Partial Differential Equation (PDE) by separation of variable method, numerical solution of PDE (Laplace, Poisson’s, Parabola) using finite difference methods, Elementary properties of FT, DFT, WFT, Wavelet transform, Haar transform.
Probability, compound probability and discrete random variable. Binomial, Normal and Poisson’s distributions, Sampling distribution, elementary concept of estimation and theory of hypothesis, recurred relations.
Stochastic process, Markov process transition probability transition probability matrix, just and higher order Markov process, Markov chain. Queuing system, transient and steady state, traffic intensity, distribution queuing system, concepts of queuing models (M/M/1: Infinity/ Infinity/ FC FS), (M/M/1: N/ Infinity/ FC FS), (M/M/S: Infinity/ Infinity/ FC FS)
Operations of fuzzy sets, fuzzy arithmetic & relations, fuzzy relation equations, fuzzy logics. MATLAB introduction, programming in MATLAB scripts, functions and their application.
Introduction and definition of reliability, derivation of reliability functions, Failure rate, Hazard rate, mean time t future & their relations, concepts of fault tolerant analysis, Elementary idea about decision theory and goal programming.
Higher Engineering Mathematics by B.V. Ramana, Tata Mc Hill.
Advance Engineering Mathematics by Ervin Kreszig, Wiley Easten Edd.
Applied Numerical Methods with MATLAB by Steven C Chapra, TMH.
Introductory Methods of Numerical Analysis by S.S. Shastry,
Numerical Solution of Differential Equation by M. K. Jain
Numerical Mathematical Analysis By James B. Scarborogh
Fourier Transforms by J. N. Sheddon
Fuzzy Logic in Engineering by T. J. Ross
Fuzzy Sets Theory & its Applications by H. J. Zimmersoms
MTPS – 102 Power System Dynamics Analysis and Control
INTRODUCTION TO POWER SYSTEM STABILITY PROBLEM: Basic concepts and
definitions: Rotor angle stability, voltage stability and voltage collapse, Midterm and long-term stability, Classification of stability, states of operation and system security system dynamic problems.
REVIEW OF CLASSICAL METHOD: System model, some mathematical analysis of steady state stability, analysis of transient stability, simplified representation of excitation control.
MODELING OF SYNCHRONOUS MACHINE: Introduction, synchronous machine, parks transformation, analysis of steady state performance per unit equivalent circuits of synchronous machine, determination of parameters of equivalent circuits, measurements for obtaining data, saturation models, transient analysis of a synchronous machine.
EXCITATION AND PRIME MOVER CONTROLLERS: Excitation system Modeling, system representation by state evasions, prime move control systems.
TRNMISSION LINE, SVC AND LOADS: D-Q transformation using L-B variables, static var compensators, loads Dynamics of a synchronous generator connected to estimate bus: system model, synchronous machine model, calculation of initial conditions, inclusion of SVC Model, Analysis of single machine system, Small signal analysis with block diagram representation, synchronizing and damping torque analysis, small signal model, nonlinear oscillators.
control signals, structure and tuning of PSS, field implementation and operating experience 8 Hours.
K.R. Padiyar, Power system dynamics, stability and control, BS Pub. Hydbd
P Kunder, Power system stability and control, TMH.
P. W. Sauer & M A Pai: Power system dynamics and stability: Pearson.
MTPS – 103 Advance Power System Protection Relays
Protective Relays: Relaying review, characteristics and operating equations of relays. CT’s and PT’s differential relay, over-current relay, reverse power relay, distance relays, applications of relays.
STATIC RELAYS: Introduction, advantages and disadvantages, classification logic ckts, smoothing circuits, voltage regulator square wave generator, time delay ckts level detectors, summation device, sampling circuit, zero crossing detector, output devices. COMPARATORS: Replica Impedance, mixing transformers, general equation of phase and amplitude comparator, realization of ohm, impedance and off set impedance characteristics, duality principle, static amplitude comparators, coincidence circuit, Hall effect devices, Magneto receptivity, zener diode phase comparator multi input comparators.
Generator and transformer protection: Protective devices for system. Protective devices for stator, rotor, and prime mover of generator, percentage differential relays protection, three winding transformer protection, earth fault protection, generator transformer unit protection.
Bus bar and transmission line protection: Distance protective schemes, directional wave detection relay. Phase compensation carrier protection. High impedance differential scheme, supervisory and check relay, Some features of 500 KV relaying protection.
Modern trends in power system protection: Different types of digital and computer aided relays, Microprocessor based relays, auto-reclosing, frequency relays, under and over frequency relays, di/dt relays. Algorithms for transmission line, transformer & bus bar protection; out-of-step relaying Introduction to adaptive relaying & wide area measurements
Power System Protection and Switchgear, B.Ram – Tata Mc-Graw Hill Pub.
Switchgear and Protection, M.V.Deshpande - Tata Mc-Graw Hill Pub.
Power System Protection & Switchgear, Ravindra Nath, M.Chander, Willy P
Computer Relaying for power system, Arun Phadke, James Thorp, Johns W P
Power System Protection, M.A.Date, Bharti Prakashan, Vallabh Vidya N,(Guj).
Suggestive list of experiments
1 Study of characteristics of various power electronics devices.
Study of characteristics of various power electronic converters.
Application of power electronics in speed control of various electrical machines.
MTPS – 101 ADVANCE MATHEMATICS
Solution of Partial Differential Equation (PDE) by separation of variable method, numerical solution of PDE (Laplace, Poisson’s, Parabola) using finite difference methods, Elementary properties of FT, DFT, WFT, Wavelet transform, Haar transform.
Probability, compound probability and discrete random variable. Binomial, Normal and Poisson’s distributions, Sampling distribution, elementary concept of estimation and theory of hypothesis, recurred relations.
Stochastic process, Markov process transition probability transition probability matrix, just and higher order Markov process, Markov chain. Queuing system, transient and steady state, traffic intensity, distribution queuing system, concepts of queuing models (M/M/1: Infinity/ Infinity/ FC FS), (M/M/1: N/ Infinity/ FC FS), (M/M/S: Infinity/ Infinity/ FC FS)
Operations of fuzzy sets, fuzzy arithmetic & relations, fuzzy relation equations, fuzzy logics. MATLAB introduction, programming in MATLAB scripts, functions and their application.
Introduction and definition of reliability, derivation of reliability functions, Failure rate, Hazard rate, mean time t future & their relations, concepts of fault tolerant analysis, Elementary idea about decision theory and goal programming.
Higher Engineering Mathematics by B.V. Ramana, Tata Mc Hill.
Advance Engineering Mathematics by Ervin Kreszig, Wiley Easten Edd.
Applied Numerical Methods with MATLAB by Steven C Chapra, TMH.
Introductory Methods of Numerical Analysis by S.S. Shastry,
Numerical Solution of Differential Equation by M. K. Jain
Numerical Mathematical Analysis By James B. Scarborogh
Fourier Transforms by J. N. Sheddon
Fuzzy Logic in Engineering by T. J. Ross
Fuzzy Sets Theory & its Applications by H. J. Zimmersoms
MTPS – 102 Power System Dynamics Analysis and Control
INTRODUCTION TO POWER SYSTEM STABILITY PROBLEM: Basic concepts and
definitions: Rotor angle stability, voltage stability and voltage collapse, Midterm and long-term stability, Classification of stability, states of operation and system security system dynamic problems.
REVIEW OF CLASSICAL METHOD: System model, some mathematical analysis of steady state stability, analysis of transient stability, simplified representation of excitation control.
MODELING OF SYNCHRONOUS MACHINE: Introduction, synchronous machine, parks transformation, analysis of steady state performance per unit equivalent circuits of synchronous machine, determination of parameters of equivalent circuits, measurements for obtaining data, saturation models, transient analysis of a synchronous machine.
EXCITATION AND PRIME MOVER CONTROLLERS: Excitation system Modeling, system representation by state evasions, prime move control systems.
TRNMISSION LINE, SVC AND LOADS: D-Q transformation using L-B variables, static var compensators, loads Dynamics of a synchronous generator connected to estimate bus: system model, synchronous machine model, calculation of initial conditions, inclusion of SVC Model, Analysis of single machine system, Small signal analysis with block diagram representation, synchronizing and damping torque analysis, small signal model, nonlinear oscillators.
control signals, structure and tuning of PSS, field implementation and operating experience 8 Hours.
K.R. Padiyar, Power system dynamics, stability and control, BS Pub. Hydbd
P Kunder, Power system stability and control, TMH.
P. W. Sauer & M A Pai: Power system dynamics and stability: Pearson.
MTPS – 103 Advance Power System Protection Relays
Protective Relays: Relaying review, characteristics and operating equations of relays. CT’s and PT’s differential relay, over-current relay, reverse power relay, distance relays, applications of relays.
STATIC RELAYS: Introduction, advantages and disadvantages, classification logic ckts, smoothing circuits, voltage regulator square wave generator, time delay ckts level detectors, summation device, sampling circuit, zero crossing detector, output devices. COMPARATORS: Replica Impedance, mixing transformers, general equation of phase and amplitude comparator, realization of ohm, impedance and off set impedance characteristics, duality principle, static amplitude comparators, coincidence circuit, Hall effect devices, Magneto receptivity, zener diode phase comparator multi input comparators.
Generator and transformer protection: Protective devices for system. Protective devices for stator, rotor, and prime mover of generator, percentage differential relays protection, three winding transformer protection, earth fault protection, generator transformer unit protection.
Bus bar and transmission line protection: Distance protective schemes, directional wave detection relay. Phase compensation carrier protection. High impedance differential scheme, supervisory and check relay, Some features of 500 KV relaying protection.
Modern trends in power system protection: Different types of digital and computer aided relays, Microprocessor based relays, auto-reclosing, frequency relays, under and over frequency relays, di/dt relays. Algorithms for transmission line, transformer & bus bar protection; out-of-step relaying Introduction to adaptive relaying & wide area measurements
Power System Protection and Switchgear, B.Ram – Tata Mc-Graw Hill Pub.
Switchgear and Protection, M.V.Deshpande - Tata Mc-Graw Hill Pub.
Power System Protection & Switchgear, Ravindra Nath, M.Chander, Willy P
Computer Relaying for power system, Arun Phadke, James Thorp, Johns W P
Power System Protection, M.A.Date, Bharti Prakashan, Vallabh Vidya N,(Guj).
Suggestive list of experiments
1 Study of characteristics of various power electronics devices.
Study of characteristics of various power electronic converters.
Application of power electronics in speed control of various electrical machines.