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    Power System Voltage Control and

    StabilityV. Ajjarapu ([email protected])Iowa State University

    Ames, USA

    Third NSF Workshop on US-Africa

    Research and Education Collaboration

    Abuja, Nigeria, December 13-15, 2004

    TECHNOLOGY &

    ENVIRONMENT

    ENERGY &

    EDUCATION

    TECHNOLOGY &

    ENVIRONMENT

    ENERGY &

    EDUCATION

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    Outline Introduction

    Aim

    Educators Involved

    Area of Research POWER SYSTEM SECURITY AND CONTROL An Overview

    Medium of Interaction Web based

    Travel

    Activities Planned

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    Our Department

    48 faculty

    Power: 4 + 2

    Over 30 power graduate students Typical undergraduate power class: 50

    Mainly power systems: Security and

    dynamics , risk analysis, economics andmarkets

    State of the art power electronics lab

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    Aim

    Building African collaboration with ISU

    researchers to build further understanding

    of different power system case studies.

    Developing a roadmap for future research

    activities in power / energy, information

    systems technology, environmental and

    social dynamics, and education pedagogy

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    Educators Involved

    Prof. George O. Anderson, Univ. of

    Botswana

    Dr. Tanimu Abubakar, Ahmadu Bello

    University, Zaria, Nigeria

    Dr. Venkataramana Ajjarapu (with

    support from EPNES ISU faculty)

    Graduate/Undergraduate Students from

    these Universities

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    Research : POWER SYSTEM SECURITY AND

    CONTROL:

    Main Area of Expertise : Voltage Stability , Oscillatory

    Stability, VAR Planning and dispatch , ATC :

    Sub Area: Power Electronics and Real Time Control

    The group is developing a comprehensive approach for voltage

    and oscillatory stability analysis and control. This group is also

    actively involved in the Available Transfer Capability(ATC)

    evaluation as limited by voltage as well as oscillatory stability.Reactive power requirements and pricing required for deregulated

    environment. These techniques will be applied to realistic

    practical power networks.

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    Our Groups Research

    Overview Developing techniques that are very

    effective for stressed power systems

    A single tool can be adapted for cost

    based security with timing of controlinformation

    Available Transfer Capability (ATC) is part

    of this research Web Based Security Tools for Distance

    Education

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    Power Flow, CPF and EQTP

    Conventional power flow program calculates

    steady state solution for a given operating

    condition.

    Continuation power flow (CPF) traces a series ofpower flow solutions for a given scenario. You

    can also trace the bottom of the PV curve.

    Equilibrium Tracing Program (EQTP) is an

    extension of CPF. DAE instead of pure powerflow equation is used to represent the power

    system. It has the capability of detecting both

    voltage and oscillatory instabilities.

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    Security Margin Tracing

    Illustration of voltage stability, oscillatory stability and damping ratio boundary

    tracing

    Damping ratio boundary for D= D0

    Voltage stability margin boundary

    Oscillatory stability margin boundary

    A1A2

    Predictor

    Corrector

    Parameter

    Voltage

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    Numerical results for Identification: CPF

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    Example For Voltage Stability Boundary: Reactive

    Power Variation

    0 2 4 6 8 10 121200

    1300

    1400

    1500

    1600

    1700

    1800

    shunt capacitance added at bus 8 (p.u.)

    totalsystemloadmargin(MW)

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    Optimal Margin Boundary

    Tracing

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    Basic Formulation

    For a sequence of specified margin levels:

    Minimize a cost function : f(U)

    Subject to : Equality Conditions : F, G

    Inequality constraints : IOptimality conditions :

    Margin boundary conditions : Cobt

    Results in a set of nonlinear equations of the form:

    0

    ,...),,(

    ),,,,,(

    ),,,(

    ),,,(

    xu

    obt

    hl

    FfC

    ssUYXI

    UYXG

    UYXF

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    Formulation (Cont.)

    The formulation could automatically generate

    a whole set of cost based optimal control

    configurations with each optimal control

    configuration corresponding to specific

    margin level that can be realized.

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    Sample Result for OMBT

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    Continuation Based Time

    Domain Simulation

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    Key Points

    No divergence due to singularity of

    Time step size is adjusted according to the

    variation of dS/dt

    Small time steps for fast dynamics and

    large time steps for slow dynamics

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    Trajectory Before and After a Line

    Outage (with load variation)

    0 20 40 60 80 100 120

    0.94

    0.945

    0.95

    0.955

    0.96

    0.965

    0.97

    0.975

    0.98

    0.985

    time (sec)

    volta

    ge

    ofBUS4

    (p.u.)

    Voltage Time Domain Trajectory

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    QSS Simulation

    0 50 100 150 200 2500.92

    0.93

    0.94

    0.95

    0.96

    0.97

    0.98

    0.99

    time (sec)

    voltage

    ofBUS4

    (p.u.)

    Voltage Time Domain Trajectory

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    Overall Strategy

    t

    0 1 2 i

    Scenario CredibleContingency Set

    Cj{C1,C2, ,Cm}

    No

    No

    Yes Yes

    Trace Eigenvalue

    for Hopf and

    Damping Margin

    Preventive

    Control

    Strategies

    All Credible

    Contingencies

    Tested ?

    Sufficient

    Margin ?

    j =j +1

    i =i +1

    Check for (A+AT)

    singularity

    Voltage stability margin

    Oscillatory stability margin

    Damping ration margin

    (A+AT) singular

    before SNB?

    No

    Yes

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    Research Needs

    On line monitoring :Fast calculations

    Accuracy vs Speed

    Timing Information: Fastvs Slow Collapse

    Integration of Cost ofVoltage and OscillatoryStability Control inOverall Security

    Assessment

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    Optimal Strategies for Load Shedding :when, where and how much

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    Capabilities at ISU

    A method to quickly identifies voltage andoscillatory instability points.

    The change in the instability margin

    boundaries can be further obtained for any

    large change in system parameters. Optimization and Time Domain Simulations

    are part of Continuation Based Approach

    An efficient eigenvalue tracking method isintroduced. Provides damping information

    Provides eigenvalue and eigenvector sensitivity

    information as a by product

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    CapabilitiesCont..

    Automatic PV Curve Tracing.

    Field current and armature current limits are

    included.

    Provides true maximum power point byconsidering relevant dynamic factors.

    There is no need for slack bus

    Can solve unsolvable cases created by a lineor generator outages

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    Capabilities Cont

    Sensitivity Analysis (qualitative)

    Screens the contingencies that may lead to

    voltage collapse

    Locates the weak areas , identifies the criticalgenerators

    Provides voltage stability margin estimation

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    Capabilities Cont..

    Available Transfer Capability as Limited

    by Voltage and Oscillatory Stability

    Simulates simultaneous multi-area

    transactions

    Provides Transaction Sensitivity: Identifies

    and ranks the transactions that are

    detrimental to voltage stability Reactive power pricing /amount /location/ to

    maintain voltage security

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    Capabilities Cont..

    Preventive and Corrective Strategies

    Against the Voltage Collapse

    Strategies for minimum load shedding

    Strategies for under-voltage load shedding

    Strategies to maintain a certain voltage

    stability margin

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    Capabilities Cont..

    Development of Advanced Algorithms for

    steady state, dynamic and time domain

    simulations

    A simulation engine that can allow transient

    and quasi- steady state analysis

    to obtain a comprehensive analysis to predict

    and control instabilities When , where and how much control

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    Capabilities Cont..

    On Line Voltage Stability Monitoring and

    Control:

    Developing methodologies to utilize off line

    studies for on line implementation

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    Application to Botswana 32 Bus

    Test System

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    Botswana System (Cont..)

    Demand : 243 MW

    Supply

    Local (coal): 128MW

    ESKOM and SAPP : 115MWSimulation :

    Software : Aristo (Advanced Real Time Interactive

    Simulator for Training and Operation ) by ABB

    Dr. Anderson applied this software for Power flow andFault analysis for 32 bus equivalent system

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    Activities Planned wrt EPNES

    Project (research)

    Task 1: Setting up a test case for Botswana System

    Task 2: Study the maximum loadability with respect

    various contingencies and scenarios

    Task 3: Apply margin sensitivity to find the

    locations for shunt capacitors and series

    capacitors

    Task 4: Develop Automaton for backward algorithm

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    Activities Planned (education)

    Botswana group will participate in EE458

    course

    Develop I hour lecture material for this course

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    1. Evolutionary history of the power industry; present industry structure;

    2. Discrete optimization;

    3. Power system operation;

    4. Electricity markets;

    5. Power system planning and cost-effective solutions;

    6. Cost recovery for transmission investment; basics of public goodeconomics;

    7. Cost-recovery models:

    Tariff-based model; Performance-based model;

    Market-driven model;

    8. Tax treatment of transmission investments.

    EE/Econ 458: Economic systems for planning in electric power

    Students completing this course will be able to conduct studies in policy,

    economics, & engineering associated with transmission expansion; they willenhance their skills using optimization methods for engineering & economic

    problem-solving.

    Will offer Fall 2004 on-campus, and via distance-education.

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    Web Based

    Interaction

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    Characteristics

    Platform (OS) Independent

    Standardized System Input Files

    Graphic PV Curves Output

    Detailed Simulation Process Output

    Margin Sensitivity

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    Simulation Website

    http://design-2.ece.iastate.edu/newsim/index.php

    http://design-2.ece.iastate.edu/newsim/index.phphttp://design-2.ece.iastate.edu/newsim/index.phphttp://design-2.ece.iastate.edu/newsim/index.phphttp://design-2.ece.iastate.edu/newsim/index.php
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    Simulation Website Cont..

    Input Files IEEE Common Data Format is adopted as the

    input file for power system topology andparameters

    Another standardized control file is used to

    specify load and generation increase scenario

    Sample Test System input files are provided

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    Simulation Website Cont..

    Upload Input Files

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    Simulation Website Cont..

    Download Sample Systems

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    Multiple Simulation Outputs

    Tabular Output

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    Outputs Cont..

    Graphic PV Curve

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    Outputs Cont..

    Generator Reactive Power Output