Reference Frame Theory. Background: Linear Transformation We have seen that transformation can simplify the problem in power system. Choosing appropriate.

Slides:

Advertisements

Similar presentations

ECE 576 – Power System Dynamics and Stability

Advertisements

Lecture 3: Signals & Systems Concepts

Lecture 1. Balanced Three-phase Systems From Network to Single-phase Equivalent Circuit Power plant TransformerSwitching station LineLoad Three-phase.

Announcements Be reading Chapters 8 and 9

9.11. FLUX OBSERVERS FOR DIRECT VECTOR CONTROL WITH MOTION SENSORS

ELECTRIC DRIVES Ion Boldea S.A.Nasar 1998 Electric Drives.

Machine Transformations

Two-pole,3-phase,wye-connected,salient-pole synchronous machine

Robust and Efficient Control of an Induction Machine for an Electric Vehicle Arbin Ebrahim and Dr. Gregory Murphy University of Alabama.

Department of Electrical Engineering Southern Taiwan University Robot and Servo Drive Lab. 2015/5/19 Reduction of Torque Ripple Due to Demagnetization.

Modeling of Induction Motor using dq0 Transformations

ECE Electric Drives Topic 4: Modeling of Induction Motor using qd0 Transformations Spring 2004.

EEEB443 Control & Drives Dynamic Model of Induction Machine By

Summary ATV71 1 Bertrand Guarinos STIEATV71 M3 motor control V2 Flux vector control basics The control of an asynchronous motor is made more difficult.

Field-Oriented Control of Induction Machine

ECE Electric Drives Topic 14: Synchronous Motors Spring 2004.

Topic 5: Dynamic Simulation of Induction Motor Spring 2004 ECE Electric Drives.

CSE245: Computer-Aided Circuit Simulation and Verification Lecture Note 3 Model Order Reduction (1) Spring 2008 Prof. Chung-Kuan Cheng.

CSE245: Computer-Aided Circuit Simulation and Verification Lecture Notes 3 Model Order Reduction (1) Spring 2008 Prof. Chung-Kuan Cheng.

Solution Sets of Linear Systems (9/21/05)

Euler Equations. Rotating Vector  A fixed point on a rotating body is associated with a fixed vector. Vector z is a displacement Fixed in the body system.

Rotations. Space and Body  Space coordinates are an inertial system. Fixed in spaceFixed in space  Body coordinates are a non- inertial system. Move.

Introduction to ROBOTICS

Rotations and Translations

Vector Control of Induction Machines

15/09/2015handout 31 Robot Kinematics Logics of presentation: Kinematics: what Coordinate system: way to describe motion Relation between two coordinate.

Topic 8: Simulation of Voltage-Fed Converters for AC Drives Spring 2004 ECE Electric Drives.

Southern Taiwan University of Science and Technology

Dynamic Model of Induction Machine MEP 1522 ELECTRIC DRIVES.

Quadruped Robot Modeling and Numerical Generation of the Open-Loop Trajectory Introduction We model a symmetric quadruped gait for a planar robot with.

September Bound Computation for Adaptive Systems V&V Giampiero Campa September 2008 West Virginia University.

KINEMATIC CHAINS & ROBOTS (I).

CIRCUITS and SYSTEMS – part II Prof. dr hab. Stanisław Osowski Electrical Engineering (B.Sc.) Projekt współfinansowany przez Unię Europejską w ramach Europejskiego.

Feedback Control Systems (FCS) Dr. Imtiaz Hussain URL :

시스템 공학 (SEL) 연구실 Dynamic Simulation of Electric Machinery using MATLAB / Simulink CHEE-MUN ONG Li Chang Long 이창룡 SEL Lab. Oct.12 th,2010.

State Space Control of a Magnetic Suspension System Margaret Glavin Supervisor: Prof. Gerard Hurley.

Lecture II Objective: Representation of sequence components

Solving Equations Using Addition or Subtraction Objective: Students will solve linear equations using addition and subtraction.

Dynamic Model of Induction Machine. WHY NEED DYNAMIC MODEL? In an electric drive system, the machine is part of the control system elements To be able.

Professor Mukhtar ahmad Senior Member IEEE Aligarh Muslim University

Matrix Converter Circuit Fig.1 GPU layout using a Matrix converter REPETITIVE CONTROL FOR A FOUR LEG MATRIX CONVERTER Wesam M. Rohouma, Saul Lopez Arevalo,

State Space Representation

Arbin Ebrahim and Dr. Gregory Murphy University of Alabama

Introduction to ROBOTICS

Multi-phase Synchronous Motors

About The Robot: FANUC Robotics is one of the biggest manufacturers in the field of robotics and automation systems and has over 160,000 industrial robots.

Lecture 6: Elastic Deformation of laminates

Feedback Control Systems (FCS)

Field-Oriented Control of Induction Machine

Machine Transformations

Digital Control Systems (DCS)

Digital Control Systems (DCS)

Field-Oriented Control of Induction Machine

Materials Science and Metallurgy Mathematical Crystallography

Power Magnet Devices: A Multi-Objective Design Approach

State Space Analysis UNIT-V.

Comparison Functions Islamic University of Gaza Faculty of Engineering

KINEMATIC CHAINS & ROBOTS (I)

ECE 576 POWER SYSTEM DYNAMICS AND STABILITY

Notes Power System Dynamics and Stability

ECE 576 POWER SYSTEM DYNAMICS AND STABILITY

ECEN 667 Power System Stability

ECE 576 POWER SYSTEM DYNAMICS AND STABILITY

ECE 576 POWER SYSTEM DYNAMICS AND STABILITY

ECE 576 POWER SYSTEM DYNAMICS AND STABILITY

ECEN 667 Power System Stability

ECE 576 POWER SYSTEM DYNAMICS AND STABILITY

Lecture 3: Signals & Systems Concepts

Prepared by: Ismael K. Saeed

Dynamical Operation, Vector Control, DTC and Encoder-less Operation

Presentation transcript:

Reference Frame Theory

Background: Linear Transformation We have seen that transformation can simplify the problem in power system. Choosing appropriate transformation can significantly reduce the problem. Can you mention the example of the transformation you have ever used?

Transformation in Transformator You can always express all variables & parameters in secondary of the transformator into corresponding primer or vice versa.

Symmetrical Components It was invented by Fortescue It decomposes unbalance abc phase variables into three symmetrical component Representative symmetrical components

Symmetrical Components(2) The transformation matrix is Where and the inverse

Example Fault V a1 V a2 V a0 V b0 V c2 V c0 V b1 V b2 V c1

We will begin other kind of transformations You will appreciate the benefit of using them later on

Clarke’s Transformation It transforms abc quantity into stationary and coincides with phase a-axis and leads the by The equation with The inverse

Park’s Transformation It was proposed by Robert H. Park from MIT There are wide ranges of application from machine simulation, control, drives, etc. This transform is one of the most important application for power engineers.

Park’s Transformation (2)

Park’s Transformation (3) A vector in space can be seen from several coordinate We can change from one coordinate to another coordinate

Park’s Transformation (4)

Park’s Transformation (5)

The abc to dqo transformation

The abc to dqo transformation (2)

The abc to dqo transformation (3)

Commonly Used Reference Frame

Transformation Between Reference Frame

Application to Voltage Equation

Application to Voltage Equation(2)

Application to Flux Linkage

Application to Flux Linkage (2)

Application to Flux Linkage (3)

Application to Flux Linkage (4)

Application to Flux Linkage (5)

Transformation of Balanced Set

Transformation of Balanced Set (2)

References Power System Stability lecture notes by Dr. Naebboon Hoochareon. Dynamic Simulations of Electric Machinery: Using MATLAB/SIMULINK by Prof. Chee-Mun Ong Analysis of Electric Machinery and Drive Systems by Prof. Paul C. Krause et.al.