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I Outlines
Introduction
Overview
PSAT vs. Other Matlab Toolboxes
Outlines of the Full PSAT Documentation
Users
Getting Started
Download
Requirements
Installation
Launching PSAT
Loading Data
Running the Program
Displaying Results
Saving Results
Settings
Network Design
Tools
Interfaces
Notation
General rules
Frequent variables, functions and parameters
News
Version 2
News in version 2.1.6
News in version 2.1.5
News in version 2.1.4
News in version 2.1.3
News in version 2.1.2
News in version 2.1.1
News in version 2.1.0
News in version 2.0.0
Version 1
News in version 1.3.4
News in version 1.3.3
News in version 1.3.2
News in version 1.3.1
News in version 1.3.0
News in version 1.2.2
News in version 1.2.1
News in version 1.2.0
News in version 1.1.0
News in version 1.0.1
II Routines
Power Flow
Power Flow Solvers
Newton-Raphson's Method
Fast Decoupled Power Flow
Distributed Slack Bus Model
Other Power Flow Solvers
Initialization of State Variables
Settings
Example
Bifurcation Analysis
Direct Methods
Saddle-Node Bifurcation
Limit Induced Bifurcation
Continuation Power Flow
Predictor Step
Corrector Step
N-1 Contingency Analysis
Graphical User Interface and Settings
Examples
Optimal Power Flow
Interior Point Method
OPF Routines
Maximization of the Social Benefit
Maximization of the Distance to Collapse
Multi-Objective Optimization
Lagrangian Function
OPF Settings
Example
Small Signal Stability Analysis
Small Signal Stability Analysis
Example
Power Flow Sensitivity Analysis
Example
Graphical User Interface
Time Domain Simulation
Integration Methods
Forward Euler's Method
Trapezoidal Method
Settings
Output Variable Selection
Snapshots
Disturbances
Examples
PMU Placement
Linear Static State Estimation
PMU Placement Rules
Algorithms
Depth First
Graph Theoretic Procedure
Bisecting Search Method
Recursive Security N Algorithm
Single Shot Security N Algorithm
Recursive and Single-Shot Security N-1 Algorithms
PMU Placement GUI and Settings
Example
III Models
Generalities
General Device Model
Common Properties
Common Methods
Power Flow Data
Bus
Transmission Line
Transformer
Two-Winding Transformer
Three-Winding Transformer
Slack and v Generator
PV Generator
PQ Load
PQ Generator
Shunt
Area & Region
CPF and OPF Data
Generator Supply
Generator Reserve
Generator Power Ramp
Load Demand
Demand Profile
Load Ramp
Faults & Breakers
Fault
Breaker
Measurements
Bus Frequency Measurement
Phasor Measurement Unit
Loads
Voltage Dependent Load
ZIP Load
Frequency Dependent Load
Voltage Dependent Load with Dynamic Tap Changer
Exponential Recovery Load
Thermostatically Controlled Load
Jimma's Load
Mixed Load
Remarks on Non-conventional Loads
Machines
Synchronous Machine
Order II
Order III
Order IV
Order V, Type 1
Order V, Type 2
Order V, Type 3
Order VI
Order VIII
Center of Inertia
Induction Machine
Order I
Order III (single cage)
Order V (double cage)
Controls
Turbine Governor
TG Type I
TG Type II
Automatic Voltage Regulator
AVR Type I
AVR Type II
AVR Type III
Power System Stabilizer
Type I
Type II
Type III
Type IV and V
Over Excitation Limiter
Secondary Voltage Control
Power Oscillation Damper
Regulating Transformers
Under Load Tap Changer
Phase Shifting Transformer
FACTS
SVC
TCSC
STATCOM
SSSC
UPFC
HVDC
Wind Turbines
Wind Models
Weibull's Distribution
Composite Wind Model
Mexican Hat Wavelet Model
Measurement Data
Wind Turbines
Constant Speed Wind Turbine
Doubly Fed Induction Generator
Direct Drive Synchronous Generator
Other Models
Dynamic Shaft
Sub-synchronous Resonance Model
Solid Oxide Fuel Cell
IV CAD
Network Design
Simulink Library
Extracting Data from Simulink Models
Displaying Results in Simulink Models
Examples
Block Usage
Block Connections
Standard Blocks
Nonstandard Blocks
Buses
Links
Breakers
Power Supplies and Demands
Generator Ramp
Generator Reserves
Non-conventional Loads
Synchronous Machines
Primary Regulators
Secondary Voltage Regulation
Under Load Tap Changers
SVCs & STATCOMs
Solid Oxide Fuel Cells
Dynamic Shafts
Block Masks
Blocks vs. Global Structures
Editing Block Masks
Mask Initialization
Mask Icon
Mask Documentation
Syntax of Mask Parameter Names
Remarks on Creating Custom Blocks
V Tools
Data Format Conversion
Utilities
Command History
3D Temperature Map
Advanced Settings
Sparse Matrix Visualization
Themes
Text Viewer
Benchmarks
Command Line Usage
Basics
Advanced Usage
Command Line Options
Example
PSAT on GNU Octave
Setting up PSAT for Running on GNU Octave
How does the conversion work?
Basic Commands
Plot Variables
VI Interfaces
GAMS Interface
Getting Started
GAMS Solvers
PSAT-GAMS Interface
PSAT-GAMS Models
Multi-period Market Clearing Model
Notation
Model Equations and Constraints
Example
UWPFLOW Interface
Getting Started
Graphical User Interface
Limitations and ToDos
Example
VII Libraries
Linear Analysis
Description
Example
Numerical Differentiation
VIII Appendices
Global Structures & Classes
General Settings
Other Settings
System Properties and Settings
Outputs and Variable Names
Models
Command Line Usage
Interfaces
Classes
Matlab Functions
Other Files and Folders
Third Party Matlab Code
Power System Software
Test System Data
3-bus Test System
6-bus Test System
9-bus Test System
14-bus Test System
FAQs
Getting Started
Simulink Library
Power Flow
Optimal & Continuation Power Flow
Time Domain Simulation
Data Conversion
Interfaces
PSAT Forum
Citations & Links
Books
Ph.D. Dissertations
Journals
Conference Proceedings
Web-pages
Letters of Reference
GNU General Public License
Bibliography
PSAT Power System Analysis Toolbox Documentation for PSAT version 2.1.6, June 2, 2011 Federico Milano
Copyright c 2010, 2003 Federico Milano. All rights reserved.
Ai miei genitori
Foreword PSAT is a Matlab toolbox for static and dynamic analysis of electric power sys- tems. The PSAT project began in September 2001, while I was a Ph.D. candidate at the Universit´a degli Studi di Genova, Italy. The first public version date back to November 2002, when I was a Visiting Scholar at the University of Waterloo, Canada. I am currently maintaining PSAT in the spare time, while I am working as associate professor at the Universidad de Castilla-La Mancha, Spain. PSAT is provided free of charge, in the hope it can be useful and other people can use and improve it, but please be aware that this toolbox comes with ABSOLUTELY NO WARRANTY; for details type warranty at the Matlab prompt. PSAT is free software, and you are welcome to redistribute it under certain conditions. Refer to the GNU General Public License (GPL) in Appendix K for details. The Cathedral of Milan took almost six hundreds years to be completed, from 1386 to 1965. After that, renovations began. In Italy, when we wants to say that a project never ends, we say that it is like the Cathedral of Milan. PSAT is my personal tiny cathedral dome. Features, classes and data formats can be partially or completely changed in future versions. Please visit often my web-page in order to get the last version: http://www.uclm.es/area/gsee/Web/Federico/psat.htm If you find bugs, have comments or want to give your suggestions, please send me an e-mail at: Federico.Milano@uclm.es You can also subscribe to the PSAT Forum, which is available at: http://groups.yahoo.com/groups/psatforum
Acknowledgments I wish to thank very much Prof. Claudio Ca˜nizares for his invaluable help, teachings and advises. Thanks also for providing me a web-page and a link to my software in the main web-page of the E&CE Department, University of Waterloo, Canada. Many thanks to the moderators of the PSAT Forum: Tamer Abdelazim, Igor Kop- cak, Juan Carlos Morataya, Raul Rabinovici, Ivo ˇSmon, Luigi Vanfretti, and Zhen Wang. Thanks to Hugo M. Ayres, Marcelo S. Castro, Alberto Del Rosso, Igor Kopcak, Lars Lindgren, Juan Carlos Morataya, and Luigi Vanfretti for their relevant con- tributions, corrections and bug fixes.
Contents I Outlines 1 Introduction 1.1 Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.2 PSAT vs. Other Matlab Toolboxes . . . . . . . . . . . . . . . . . . . 1.3 Outlines of the Full PSAT Documentation . . . . . . . . . . . . . . . 1.4 Users . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Getting Started 2.1 Download . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.2 Requirements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.3 Installation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.4 Launching PSAT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.5 Loading Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.6 Running the Program . . . . . . . . . . . . . . . . . . . . . . . . . . 2.7 Displaying Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.8 Saving Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.9 Settings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.10 Network Design . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.11 Tools . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.12 Interfaces 3 Notation 3.1 General rules . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.2 Frequent variables, functions and parameters 4 News 4.1 Version 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4.1.1 News in version 2.1.6 . . . . . . . . . . . . . . . . . . . . . . . 4.1.2 News in version 2.1.5 . . . . . . . . . . . . . . . . . . . . . . . 4.1.3 News in version 2.1.4 . . . . . . . . . . . . . . . . . . . . . . . 4.1.4 News in version 2.1.3 . . . . . . . . . . . . . . . . . . . . . . . 4.1.5 News in version 2.1.2 . . . . . . . . . . . . . . . . . . . . . . . 4.1.6 News in version 2.1.1 . . . . . . . . . . . . . . . . . . . . . . . 4.1.7 News in version 2.1.0 . . . . . . . . . . . . . . . . . . . . . . . 4.1.8 News in version 2.0.0 . . . . . . . . . . . . . . . . . . . . . . . vii 1 3 3 6 6 7 9 9 9 10 11 12 12 14 14 15 15 16 16 17 17 18 21 21 21 21 22 22 22 22 22 23
viii CONTENTS 4.2 Version 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4.2.1 News in version 1.3.4 . . . . . . . . . . . . . . . . . . . . . . . 4.2.2 News in version 1.3.3 . . . . . . . . . . . . . . . . . . . . . . . 4.2.3 News in version 1.3.2 . . . . . . . . . . . . . . . . . . . . . . . 4.2.4 News in version 1.3.1 . . . . . . . . . . . . . . . . . . . . . . . 4.2.5 News in version 1.3.0 . . . . . . . . . . . . . . . . . . . . . . . 4.2.6 News in version 1.2.2 . . . . . . . . . . . . . . . . . . . . . . . 4.2.7 News in version 1.2.1 . . . . . . . . . . . . . . . . . . . . . . . 4.2.8 News in version 1.2.0 . . . . . . . . . . . . . . . . . . . . . . . 4.2.9 News in version 1.1.0 . . . . . . . . . . . . . . . . . . . . . . . 4.2.10 News in version 1.0.1 . . . . . . . . . . . . . . . . . . . . . . . II Routines 5 Power Flow 5.1 Power Flow Solvers . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5.1.1 Newton-Raphson’s Method . . . . . . . . . . . . . . . . . . . 5.1.2 Fast Decoupled Power Flow . . . . . . . . . . . . . . . . . . . 5.1.3 Distributed Slack Bus Model . . . . . . . . . . . . . . . . . . 5.1.4 Other Power Flow Solvers . . . . . . . . . . . . . . . . . . . . Initialization of State Variables . . . . . . . . . . . . . . . . . 5.1.5 5.2 Settings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5.3 Example . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 Bifurcation Analysis 6.1 Direct Methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6.1.1 Saddle-Node Bifurcation . . . . . . . . . . . . . . . . . . . . . 6.1.2 Limit Induced Bifurcation . . . . . . . . . . . . . . . . . . . . 6.2 Continuation Power Flow . . . . . . . . . . . . . . . . . . . . . . . . 6.2.1 Predictor Step . . . . . . . . . . . . . . . . . . . . . . . . . . 6.2.2 Corrector Step . . . . . . . . . . . . . . . . . . . . . . . . . . 6.2.3 N − 1 Contingency Analysis . . . . . . . . . . . . . . . . . . . 6.2.4 Graphical User Interface and Settings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6.3 Examples 7 Optimal Power Flow 7.1 Interior Point Method . . . . . . . . . . . . . . . . . . . . . . . . . . 7.2 OPF Routines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7.2.1 Maximization of the Social Benefit . . . . . . . . . . . . . . . 7.2.2 Maximization of the Distance to Collapse . . . . . . . . . . . 7.2.3 Multi-Objective Optimization . . . . . . . . . . . . . . . . . . 7.2.4 Lagrangian Function . . . . . . . . . . . . . . . . . . . . . . . 7.3 OPF Settings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7.4 Example . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 23 24 24 25 25 26 26 26 27 27 29 31 31 31 32 33 34 34 35 37 47 48 48 48 49 49 51 52 53 54 61 61 62 62 62 64 65 65 66
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