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SAFER, SMARTER, GREENER DNV GL © 04 September 2019 Prepared by DNV GL- Power System Advisory ENERGY Sub-Synchronous Control Interaction Overview of Modeling, Risk Assessment and Countermeasures 1 Farshid Salehi, Farshid.Salehi@dnvgl.com & Mike Tabrizi, Mike.Tabrizi@dnvgl.com
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  • DNV GL © 04 September 2019 SAFER, SMARTER, GREENERDNV GL ©

    04 September 2019

    Prepared by DNV GL- Power System Advisory

    ENERGY

    Sub-Synchronous Control Interaction

    Overview of Modeling, Risk Assessment and Countermeasures

    1

    Farshid Salehi, Farshid.Salehi@dnvgl.com

    &Mike Tabrizi,

    Mike.Tabrizi@dnvgl.com

    mailto:Farshid.Salehi@dnvgl.commailto:Mike.Tabrizi@dnvgl.com

  • DNV GL © 04 September 20192

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    Stiftelsen Det Norske Veritas is a free-standing, autonomous and independent foundation whose purpose is to safeguard life, property and the environment.

    DNV GL – An Independent Multi-Disciplinary, Multi-Industry Global Advisory Firm

  • DNV GL © 04 September 2019

    3

    DNV GL Energy – NA

    DNV GL Energy

    Power System Advisory

    Market & Resource

    Integration

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    OE)

    Resource siting & Integration

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  • DNV GL © 04 September 2019

    Agenda

    ▪Background & History

    ▪Modeling & Study Approach

    ▪SSI Countermeasures

    –Detection Solutions

    –Mitigation Solutions

    4

  • DNV GL © 04 September 20195

    Background & History

  • DNV GL © 04 September 2019

    Mohave Incident (1970)An example of Sub-synchronous Torsional Interaction

    ▪ Mohave generator: 1,580 MW coal-fired in

    NV.

    ▪ Gradually growing vibration that eventually

    fractured a shaft section.

    ▪ First investigations incorrectly determined

    cause. After 2nd failure in 1971 cause was

    identified as Sub-synchronous Resonance

    interaction with nearby series capacitors.

    ▪ An electrical resonance at 30.5 Hz excited a

    mechanical resonance at 30.1 Hz.

    ▪ Problem was resolved by reducing

    compensation percentage and installing a

    torsional relay.

    6

  • DNV GL © 04 September 2019

    Example of Sub-synchronous Oscillations for Wind Farms

    ▪ ERCOT SSCI EVENT (2009, 2017)

    ▪ China SSCI EVENT (2012)

    ▪ Minnesota SSCI EVENT

    7

    Fault Recorder, South Texas Event, 2009

  • DNV GL © 04 September 2019

    Classification of Sub-Synchronous Interaction (SSI)

    8

    Classification of Simple synchronous Interaction

    A. E. Leon, J. A. Solsona, "Sub-synchronous interaction damping control for DFIG wind turbines," IEEE Trans. Power System, vol. 30, no. 1, pp. 419-428, Jan. 2015.

  • DNV GL © 04 September 2019

    Induction Generation Effect

    ▪ A series compensated line has a natural frequency at 𝑓𝑠𝑠𝑟 = 𝑓𝑠 ൗ𝑋𝑐

    𝑋𝐿,

    ▪ 𝑆𝑠𝑠𝑟 =𝑓𝑠𝑠𝑟−𝑓𝑟

    𝑓𝑠𝑠𝑟

    ▪ Where, 𝑓𝑟 is the electrical frequency of rotor.

    9

    Simplified Sub-Synchronous Equivalent Model of DFIG

    L. Fan, R. Kavasseri, Z. L. Miao, C. Zhu, "Modeling of DFIG-based wind farms for SSR analysis," IEEE Trans. Power

    Delivery, vol. 25, no. 4, pp. 2073-2082, Oct. 2010.

  • DNV GL © 04 September 2019

    Sub-Synchronous Control Interaction

    ▪ Sub-Synchronous Control Interaction (SSCI): is the result of

    energy exchange between power electronic control systems and

    series compensated lines within a sub-synchronous frequency

    range, usually 5-55Hz in a 60Hz synchronous frequency system.

    – The SSCI is not related to the shaft system and torsional mode.

    – This is purely electrical phenomena and builds up very fast.

    – The frequency of oscillation is not fixed and varies under differentcontrol parameters and system operating conditions.

    – The Phenomena has been documented for Wind farm, Solar plantand HVDC in radial condition with series compensated lines.

    – Type 3 wind farms have the most penetration and are morevulnerable to SSCI.

    10

  • DNV GL © 04 September 2019

    Sub-Synchronous Control Interaction

    ▪ In the rotor current control loop of the DFIG, the proportional gain of the PI

    controller can be interpreted as a resistance term added to the rotor circuit [a],

    [b]. Therefore, this proportional gain increases the negative equivalent resistance

    of the rotor, resulting in a lower damping or instability at a sub-synchronous

    resonant frequency. This aggravation of the Induction Generation Effect (IGE)

    produced by the rotor current control loop is called SSCI [b].

    ▪ [a] Z.Miao,“Impedance-model-based SSR analysis for type3 wind generator and series-compensated network,” IEEE Trans. Energy Convers., vol. 27, no. 4, pp.

    984–991, Dec. 2012.

    ▪ [b] A. E. Leon, "Integration of DFIG-based wind farms into series-compensated transmission systems," IEEE Trans. Sustainable Energy, vol. 7, no. 2, pp. 451-459,

    Apr. 2016.

    11

  • DNV GL © 04 September 201912

    Modelling & Analysis

  • DNV GL © 04 September 2019

    Modeling techniques for SSI Analysis

    ▪Detail State Space modelling

    𝑥∙ = 𝑓 𝑥, 𝑢 & 𝑦 = 𝑔(𝑥, 𝑢)

    ▪ Impedance modelling (Transfer function)

    –This is analytical technique, 𝑍 𝑠 =𝑉(𝑠)

    𝐼(𝑠)

    ▪Detail EMT modelling

    13

  • DNV GL © 04 September 2019

    Applications of Detail State Space Model

    14

    Performing SSI Screening

    Evaluating the impact of different parameters and state on SSI mode (Sensitivity Analysis &

    Participation factor)

    Tuning of control parameters

  • DNV GL © 04 September 2019

    DFIG Detailed State Space Modelling

    15

    Block Diagram of Detailed DFIG Connected to Series Compensated Line

  • DNV GL © 04 September 2019

    Detailed State Space Modelling & SSI vulnerability Assessment

    ▪ Detail Models can be utilized for following purposes:

    – Quick SSI screening

    – Evaluating the impact of different parameters on SSCI

    – Tuning of control parameters

    16

    Radial Test System

  • DNV GL © 04 September 2019

    State Space Modelling–Transient Simulation and FFT for 70% Compensation

    17

    Acti

    ve P

    ow

    er (

    MW

    )R

    eacti

    ve P

    ow

    er (

    Mvar)

    Active & reactive power for 70% compensation FFT result for 70% compensation

  • DNV GL © 04 September 2019

    State Space Modelling – Transient Simulation and FFT for 50% Compensation

    18

    Acti

    ve P

    ow

    er (

    MW

    )R

    eacti

    ve P

    ow

    er (

    Mvar)

    Active & reactive power for 50% compensation FFT result for 50% compensation

  • DNV GL © 04 September 2019

    State Space Modelling – Transient Simulation and FFT for 30% Compensation

    19

    Acti

    ve P

    ow

    er (

    MW

    )R

    eacti

    ve P

    ow

    er (

    Mvar)

    Active & reactive power for 30% compensation FFT result for 30% compensation

  • DNV GL © 04 September 2019

    State Space Modelling – Transient Simulation and FFT for 10% Compensation

    20

    Acti

    ve P

    ow

    er (

    MW

    )R

    eacti

    ve P

    ow

    er (

    Mvar)

    Active & reactive power for 10% compensation FFT result for 10% compensation

  • DNV GL © 04 September 2019

    State Space Modelling – Eigen Value Analysis For Screening

    ▪ Utilizing detail model for Screening (through Eigen value Analysis)

    21

    Compensation Level

    (%)

    Eigen Value

    frequency (Hz)

    FFT Results

    SSI Frequency

    (Hz)

    10 55.68 55.66 4.32

    30 52.7 52.73 7.3

    50 50.74 50.78 9.26

    70 49.17 49.8 10.83

    EIGENVALUE ANALYSIS RESULTS

  • DNV GL © 04 September 2019

    Applications of Impedance Modelling

    22

    Performing SSI Screening

    Evaluating the impact of different dynamic loops on SSI

  • DNV GL © 04 September 2019

    Applications of EMT Modelling

    23

    Performing SSI Screening

    Performing Detailed EMT SSI Analysis

  • DNV GL © 04 September 2019

    Risk Assessment & Study Approach: Situations With SSI Risk

    ▪ SSI Analysis for Generation Interconnection

    – Topology Check

    – Frequency Scan-Based Screening

    – Detailed EMT Simulation

    ▪ Evaluating the Impact of Transmission Expansion Projects on SSI

    risk

    – Topology Check for nearby Generation

    – Sub-synchronous damping Screening

    – Detailed EMT Simulation

    24

  • DNV GL © 04 September 2019

    SSI Analysis for Generation Interconnection: Topology Check

    ▪ Identifying N-X contingencies which results in radial conditions

    between the proposed generation interconnection and nearby

    series compensated lines.

    ▪ Contingency Rank criteria is defined by ISO.

    – For Example: Based on the ERCOT protocol, a generation

    resource is considered to be potentially at SSI risk if there is

    contingency with outage count equal or less than 14 which

    leads to radial connection between the generation and nearby

    series compensated line.

    ▪ Graph theory based algorithm are proposed to automate the

    detection of the radial contingencies.

    25

  • DNV GL © 04 September 2019

    SSI Analysis for Generation Interconnection: Frequency Scan-Based Screening

    ▪ Frequency Scan: is Strong tool for SSI Screening

    – Frequency scan provides the impedance characteristic of wind

    farm and also the transmission system as function of frequency.

    – Performing separate scan on plan side and wind farm side.

    – Calculate cumulative resistance and reactance at POI to

    comment on SSI vulnerability.

    26

  • DNV GL © 04 September 2019

    Frequency Scan- Harmonic injection

    1. Bring the scanned grid to steady-state condition through an equivalent source.

    2. Inject a voltage at a frequency of interest, 𝑉𝑖𝑛𝑗(𝑓), between the equivalent

    source and the terminals of the grid.

    3. Measure the voltage, 𝑉𝑚𝑒𝑎𝑠, and current, 𝐼𝑚𝑒𝑎𝑠, at the terminals of the grid;

    4. Apply the Fast-Fourier Transform (FFT) to both 𝑉𝑚𝑒𝑎𝑠 and 𝐼𝑚𝑒𝑎𝑠 to get 𝑉𝑚𝑒𝑎𝑠(𝑓) and

    𝐼𝑚𝑒𝑎𝑠(𝑓) at the same frequency of the injected voltage 𝑉𝑖𝑛𝑗 𝑓 .

    5. Calculate the impedance, 𝑍𝑚𝑒𝑎𝑠 𝑓 , as below:

    ▪ 𝑍𝑚𝑒𝑎𝑠 𝑓 =𝑉𝑚𝑒𝑎𝑠(𝑓)

    𝐼𝑚𝑒𝑎𝑠(𝑓)

    27

    Different Steps of frequency scan-based Screening

    I. B. M. Matsuo, F. Salehi, L. Zhao, Y. Zhou and W. Lee, "An Optimized Frequency Scanning Tool for Sub-Synchronous Interaction Analysis of Non-Linear Devices," 2019 IEEE/IAS 55th Industrial and Commercial Power Systems Technical Conference (I&CPS), Calgary, AB, Canada, 2019, pp. 1-7.

  • DNV GL © 04 September 2019

    Frequency Scan- Plant Side

    ▪ The objective of these scans is to measure the resistance and

    reactance of the entire wind/solar project in the sub-synchronous

    (

  • DNV GL © 04 September 2019

    Frequency Scan- Grid Side

    ▪ The 2nd step in the screening study involves conducting detailed

    frequency scans on the transmission system. These scans are

    performed to identify the series resonant frequency of the

    transmission system under various contingencies.

    ▪ For the transmission side, a sensitivity analysis with different

    compensation levels and statuses of switch shunts should be

    performed as follows:

    – Different compensation levels of the transmission system

    – Transmission system with all critical switch shunts in service

    – Transmission system with all critical switch shunts out of service

    29

  • DNV GL © 04 September 2019

    ▪ Calculate cumulative resistance and reactance at POI

    ▪ Cumulative resistance at cross-over frequency (zero reactance) is the index of

    SSI risk

    ▪ If cumulative resistance at cross-over frequency is negative or marginally

    positive there is SSI risk

    Frequency Scan - Cumulative Impedance

    30

  • DNV GL © 04 September 2019

    EMT Simulation

    The results of the frequency scan analysis will be evaluated in conjunction

    with “N-x” outage counts for all contingencies to determine need for

    detailed EMT simulations..

    Below are the example of criteria:

    ▪ If a fully radial contingency has an outage count of “N-6” or less, detailed EMT

    simulation-based studies will be conducted regardless of whether frequency scans

    depict SSR risk.

    ▪ Detailed EMT simulations will be performed for all contingencies that have been

    identified using the process outlined above. Following aspects will be accounted

    for while performing EMT simulations:

    – Fault location – near-by or remote fault vis-à-vis the proposed project/series

    compensation location

    – Fault type preceding the line outages – S-L-G or 3-Phase fault

    – Status of switched shunts between the project POI and series compensated

    lines of interest

    – Presence of neighbouring renewable/conventional generation resources

    31

  • DNV GL © 04 September 2019

    SSI Analysis for Transmission Expansion Project

    ▪ Transmission expansion projects could increase the risk and severity of

    SSI in power grid mainly by virtue of changing system configuration,

    consequently electrical distance.

    ▪ This section propose a method and tool to quantify the impact of

    transmission expansion projects on SSI risk.

    ▪ Two indices were proposed to comment on the impact of Transmission

    expansion project on SSI risk:

    ➢Outage count of radial contingencies

    ➢Sub-synchronous damping at resonant frequencies

    ▪ A graph-theory based SSI screening tool is developed to quantify the

    outage count associated with all grid radial contingencies.

    ▪ Frequency scan is utilized to estimate sub-synchronous damping.

    32

  • DNV GL © 04 September 2019

    Transmission Expansion: Outage count of radial contingencies

    ▪ Identifying all generation resources in vicinity of both end of

    proposed project.

    ▪ Identifying N-X contingencies which results in radial connection

    between generation resources and nearby series compensated

    line before and after proposed line.

    ▪ Compare the outage counts to evaluate the risk of SSI

    occurrence.

    ▪ A graph-theory based SSI screening tool is developed to

    quantify the outage count associated with all grid radial

    contingencies.

    Ref: F. Salehi, P. Saraf, A. Brahman and M. A. Tabrizi, "Evaluating the Impacts of Transmission Expansion on

    Sub-Synchronous Resonance Risk," 2019 IEEE Power & Energy Society General Meeting, Atlanta, GA, 2019

    33

  • DNV GL © 04 September 2019

    Transmission Expansion: Sub-synchronous damping at resonant frequencies

    ▪ Perform frequency scans on the grid side for all contingencies of

    interest to see how new line affects the grid sub-synchronous

    resonance.

    ▪ Decrease in Sub-synchronous resonance resistance lead to less

    damping and exacerbate the SSI condition.

    ▪ If the outage count and sub-synchronous resonant damping show

    higher SSI risk for a specific generation resource, comprehensive

    frequency scan based screening should be performed to comment

    on SSR vulnerability.

    Ref: F. Salehi, P. Saraf, A. Brahman and M. A. Tabrizi, "Evaluating the Impacts of Transmission Expansion on

    Sub-Synchronous Resonance Risk," 2019 IEEE Power & Energy Society General Meeting, Atlanta, GA, 2019

    34

  • DNV GL © 04 September 2019

    Reference for Example of evaluating the Impact of Transmission Expansion project on SSI Risk

    35

    ▪ For Further Details and example of SSR risk assessment for transmission

    expansion project, please refer to below paper by DNV GL team which was

    presented in IEEE PES General meeting Atlanta, 2019

    F. Salehi, P. Saraf, A. Brahman and M. A. Tabrizi, "Evaluating the Impacts of

    Transmission Expansion on Sub-Synchronous Resonance Risk," 2019 IEEE Power &

    Energy Society General Meeting, Atlanta, GA, 2019

  • DNV GL © 04 September 2019

    Discussion for Transmission Expansion project

    ▪ The proposed approach provides a detailed methodology for evaluating

    the impact of transmission expansion projects on SSI risk through a two-

    steps approach utilizing outage count index and sub-synchronous

    damping index.

    ▪ The proposed methodology and developed tool were utilized on a portion

    of ERCOT grid and it was demonstrated that transmission expansion

    projects can have potential detrimental effects on SSR risk in the

    system.

    ▪ In this case, the results of frequency scan indicate that proposed system

    upgrades lead to more negative damping for all scenario of operation

    and consequently exacerbate the SSR condition.

    ▪ Finally, the results were validated using detailed EMT simulations.

    36

  • DNV GL © 04 September 2019

    Questions?

    37

  • DNV GL © 04 September 201938

    SSI Countermeasure

  • DNV GL © 04 September 2019

    Sub-Synchronous Oscillation- Countermeasures

    39

    Classification of Sub-Synchronous Oscillation countermeasures

  • DNV GL © 04 September 2019

    SSCI Detection- Motivation▪ The power system has recently become more susceptible to Sub-

    Synchronous Interactions (SSI) due to the high penetration of

    renewable resources and series-compensated lines.

    ▪ SSCI and IGE is a purely electrical and fast-growing phenomenon.

    ▪ Detection of SSI is challenge because of the nature of the signal.

    40

    Example of SSCI signal (Voltage & Current)

  • DNV GL © 04 September 2019

    Reference for The Proposed SSCI Detection Algorithm

    41

    ▪ The details of proposed SSCI detection algorithm can be find in below paper:

    ▪ F. Salehi, I. Brandao Machado Matsuo, A. Brahman, M. Aghazadeh Tabrizi and W.

    Lee, "Sub-Synchronous Control Interaction Detection: A Real-Time Application,"

    in IEEE Transactions on Power Delivery.

    doi: 10.1109/TPWRD.2019.2930400

    ▪ https://ieeexplore.ieee.org/document/8770097

    https://ieeexplore.ieee.org/document/8770097

  • DNV GL © 04 September 2019

    Mitigation of Sub-Synchronous Interaction using battery Storage

    42

    Hybrid Wind & Storage

    Portion of ERCOT Grid

  • DNV GL © 04 September 2019

    Mitigation of Sub-Synchronous Interaction using battery Storage

    43

    Simplified Scheme – Radial connection between the RE and SC

  • DNV GL © 04 September 2019

    Battery Storage control System with Feed Forward addition of SSI Damping Controller

    44

    Storage Control Loop

  • DNV GL © 04 September 2019

    Simulation Results for Hybrid Mitigation Solution

    45

    Without Hybrid Storage With Hybrid Storage

  • DNV GL © 04 September 2019

    Questions?

    46

  • DNV GL © 04 September 2019

    SAFER, SMARTER, GREENER

    www.dnvgl.com

    Thank You

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