In the power system, the load frequency is the major problem in one of those problems occur during the unstable load. In the electrical-power industries, there is an extreme necessity for the efficacious and effectual Load Frequency Control approaches to minimize growing monotonic complex large-scale power systems and their resilience in the face of parameter uncertainty, mismatch of plant model, and external load variation.
So to minimize the problem of load frequency there is a scheme “A two- degree-of-freedom (TDF)-internal model controller (IMC)” for the single region model is designed where the 2nd order reduced-model has been used as a TDF-IMC scheme internal/predictive model. Determining the suitable value of tuning parameter is very much complicated and challenging for TDF-IMC controller design in conventional type two-degree freedom (TDF) - IMC, but now numerous algorithms are proposed by the researchers for optimization.
In this thesis, the modeling and analysis of by reduction method of TDF-IMC is given using MATLAB programming and simulation and comparative study is noted between routh and pade approximation.
Table of Contents
CHAPTER-1
INTRODUCTION
PURPOSE OF THESIS
CHAPTER-2
LITRATURE REVIEW
CHAPTER-3
3.1 MODEL ORDER REDUCTION
3.2 PADE APPROXIMATION METHOD
CHAPTER-4
4.1 LOAD FREQUENCY CONTROL
4.2 DESCRIPTION OF PLANT
4.3 TWO DEGREE FREEDOM - INTERNAL MODEL CONTROL
PADE APPROXIMATION MODELING
ROUTH APPROXIMATION MODELING
4.4 NUMERICAL MODEL OF LFC
CHAPTER-5
PROGRAM & SIMULATION
RESULT & DISCUSSION
CHAPTER-6
CONCLUSION
FUTURE SCOPE
Objectives and Topics
This thesis investigates the implementation of a Two-Degree-of-Freedom Internal Model Controller (TDF-IMC) for Load Frequency Control (LFC) in power systems. The core research objective is to utilize model order reduction (MOR) techniques, specifically Pade and Routh approximations, to simplify high-order plant models, thereby facilitating the design and implementation of efficient and robust controllers.
- Load Frequency Control (LFC) in power systems
- Model Order Reduction (MOR) techniques
- Pade and Routh approximation methods
- Two-Degree-of-Freedom Internal Model Control (TDF-IMC) design
- MATLAB-based simulation and performance analysis
Excerpt from the Book
3.2 PADE APPROXIMATION METHOD
The approach is discussed in the theory of Pade. In order to understand the algorithm used for Pade approximation, we consider the following definition of frequency domain system as: f(s) = sum n=0 cn s^n (3.1) Where n element W (all whole numbers) f(s) = c0 + c1s + c2s^2 + c3s^3 + c4s^4 + ... (3.2) And a rational function Um(s)/Vn(s), where Vn(s) and Um(s) are nth and mth order polynomials respectively, and m <= n. The rational function Um(s)/Vn(s) is said to be a Pade approximant of f(s).
If the expansion of f(s) and Um(s)/Vn(s) are identical in terms of first m + n terms of the power series.
From Eqn. (3.2) the function f(s) is approximated, then Pade approximant will be following as Um(s)/Vn(s) = a0 + a1s + a2s^2 + ... + ams^m / b0 + b1s + b2s^2 + ... + bns^n (3.3)
Or Eqn. (3.3) can be modified as Um(s)/Vn(s) = a0 + a1s + a2s^2 + ... + ans^n / b0 + b1s + b2s^2 + ... + bn+1s^n+1 (3.4)
If the first (m + n) terms of Eqns. (3.2) and (3.4) are equal, then follows that the following set of relations exists.
Summary of Chapters
CHAPTER-1: Discusses the complexity of modern power systems and introduces the necessity of Load Frequency Control (LFC) and Model Order Reduction (MOR) to ensure system stability.
CHAPTER-2: Provides a comprehensive survey of existing literature regarding various MOR strategies and their applications in control engineering and power system regulation.
CHAPTER-3: Details the theoretical foundation of frequency domain and time domain model order reduction techniques, with a specific focus on the Pade approximation algorithm.
CHAPTER-4: Explains the modeling of LFC for a power plant and derives the TDF-IMC control structure while applying Pade and Routh approximations to simplify the system dynamics.
CHAPTER-5: Presents the technical implementation of the proposed models using MATLAB programming and provides a comparative analysis of the simulation results.
CHAPTER-6: Concludes the thesis by summarizing the findings regarding the effectiveness of the optimized TDF-IMC controller and suggests future research directions.
Keywords
Load Frequency Control, Model Order Reduction, Internal Model Control, Two Degree Freedom, Pade Approximation, Routh Approximation, Power System, MATLAB, Simulation, Control System, Controller Design, System Dynamics, Optimization, Genetic Algorithm, Transfer Function.
Frequently Asked Questions
What is the fundamental focus of this dissertation?
The dissertation focuses on addressing load frequency issues in large-scale power systems by designing an effective Two-Degree-of-Freedom Internal Model Controller (TDF-IMC).
Which central topics are explored regarding controller design?
The study explores model order reduction (MOR) strategies, specifically utilizing Pade and Routh approximations to simplify complex, high-order power plant models for easier controller implementation.
What is the primary objective of using model order reduction?
The primary goal is to reduce computational complexity, size, and cost while retaining the dominant system characteristics, thereby simplifying the design of the LFC regulator.
Which scientific methodology is primarily employed?
The author employs mathematical modeling followed by validation and comparison of plant behavior using MATLAB programming and simulation.
What does the main body of the work encompass?
The main body covers the theoretical background of LFC, the derivation of Pade and Routh approximation models, the architecture of the TDF-IMC scheme, and the translation of these concepts into MATLAB code.
Which keywords define this work?
Key terms include Load Frequency Control (LFC), Internal Model Control (IMC), Model Order Reduction (MOR), Pade Approximation, and Routh Approximation.
How does the author handle plant and model mismatch?
The TDF-IMC structure uses an internal model (predictive model of the plant) and a feedback loop to calculate an error signal, which specifically indicates and helps mitigate plant/model mismatches.
Why are Pade and Routh approximations utilized specifically?
They are utilized as frequency domain model reduction techniques to lower the transfer functions of high-order power systems, making them computationally manageable for real-time regulation.
- Citar trabajo
- Manendra Patwa (Autor), 2022, Internal Model Controller for Load Frequency Control by Model Order Reduction Method, Múnich, GRIN Verlag, https://www.grin.com/document/1284786
