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    Corresponding author :J.Raja, Assistant Director, National Power Training Institute, Ministry of Power India, Faridabad 121 003,

    Haryana, India. Email: [email protected], Cell No.: 8800124789.

    Dr.C.Christober Asir Rajan, Associate Professor, Pondicherry Engineering College, Puducherry, India. Email:

    [email protected]

    Copyright JES 2011 on-line : journal.esrgroups.org/jes

    J. Raja

    C.Christober Asir RajanJ. Electrical Systems 7-2 (2011): 193-205

    Regular paper

    Improved Power System DynamicPerformance Using SMES For

    Frequency Excursion

    This paper analyses a comparative transient performance of six types of single machine power

    system. The six types of system configurations are viz. i) AVR loop with Proportional

    Integral controller PI) combined with AGC loop. ii) AVR loop with single input CPSS

    combined with AGC loop. iii) AVR with PI combined with SMES unit based AGC loop. For

    AGC loop both thermal unit and hydro unit are individually consider. iv) AVR with CPSS

    combined with SMES unit based AGC loop. For AGC loop both thermal unit and hydro unit

    are individually considered. v) AVR with FLC combined with FLC based AGC loop. For

    AGC loop both thermal unit and hydro unit are individually considered. vi) AVR with FLC

    combined with SMES unit based AGC with FLC loop. For FLC based AGC loop both thermal

    unit and hydro unit are individually considered. The Thermal unit is either single or double

    reheat turbine. Hydro unit is considered with mechanical or electrical governor. Proportional

    Integral, Conventional power system stabilizer and fuzzy controller is provided in AGC loop.

    It is shown that the SMES based fuzzy controlled AGC loop along w ith fuzzy controlled AVR

    assist better transient performance of the power system in all cases under different operating

    conditions.

    Keywords: Automatic Generation Control (AGC), Automatic Voltage Regulator (AVR),

    Conventional Power System Stabilizer (CPSS), Fuzzy Logic Controller (FLC), Superconducting

    Magnetic Energy Storage (SMES).

    1. Nomenclature

    Incremental change in Rotor angle.

    Incremental change in electrical angular frequency.M Inertia co-efficient.

    D Damping co-efficient.1

    qE Voltage proportional to direct axis flux linkages

    K1 Change in electrical power for a change in rotor angle with constant flux linkage

    K2 Change in electrical power for change in flux linkage with constant rotor angle.K3 Impedance factor

    K4 Demagnetizing effect of change in rotor angleK5 Change in terminal voltage with change in rotor constant angle E

    q1.

    K6 Change in terminal voltage with change in Eq1 for constant 1

    doT Direct axis open circuit time constant of the machine

    Ka Amplifier gain

    Ta Time constant of amplifierKe Exciter gain

    Te Time constant of exciterKP Proportional Gain Constant

    IK Integral Gain Constant

    Kcf Gain constant of frequency

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    Kpss Power System Stabilizer Gain

    Td1,Td2 Time constant of the power system stabilizerTd3,Td4 Time constant of the power system stabilizer

    Tdc Converter time constant

    Tg Governor time constant

    Trr Terminal voltage transducer time constantTt Non- reheat turbine time constant is S domainTw Washout time constant of PSS block on S domain

    Tr Reheat turbine time constant

    2.0 Introduction

    Load Frequency control is an important issue in power system operation and control.The loading in power system is never constant. To ensure the quality of the power supply,

    we need to design a load frequency control system which deals with control of generatorwith changing load. There has been continuing interest in designing strategy for load

    frequency controls has been proposed since 1980 [1-3].

    In [4], Nanda and Mangla discussed the AGC performance of interconnected system inthe continuous mode using conventional integral and fuzzy controllers, Nanda et al [5] also

    considered an interconnected Hydro-Thermal system in the continuous discrete mode usingconventional integral controller or PI controller. It has been established that maximum

    deviation and settling time are same for the controllers and the paper has established thefuzzy controller without considering SMES.

    In the context of AGC coordinated CPSS equipped with AVR model, it is quite

    relevant to investigate the further improvement in the transient performance by the

    application of SMES with fuzzy controller. In [5-6], transfer function model for singlestage, double stage reheat turbine, the transfer function of model mechanical and electricalgovernor are given. A literature survey reveals that mechanical governor has an integral

    part of existing hydro units.

    On the other hand, owing to their low power consumption while in operation, modernhydro units are being equipped with electric governors. Nanda et al [5] are the first to

    compare the performance of electric and mechanical governors in the context of

    interconnected hydrothermal AGC system. The uses of SMES and battery energy storagefor load leveling application and for improvement of the dynamic performance of power

    system have been described [7-11]. The importance of control system using SMES has

    been presented as one of the powerful stabilizers for undamped oscillations which tend tooccur in a long distance bulk power transmission system has been viewed and analyzed in

    the literature [12]. In [13] the improvement in AGC with the addition of a small capacitySMES unit is studied, and time domain simulations are used to study the performance of

    the power system dynamics are analyzed.

    Fuzzy PI controller has some advantages: (i) it provides an efficient way of copyingwith imperfect information, secondarily, (ii) it offers flexibility in decision making process,

    thirdly, (iii) it provides an interesting man / machine interface by simplifying ruleextraction from human experts and fallowing a simpler a posterior interpretation of the

    system reasoning. Fuzzy logic controllers are knowledge base controllers usually derived

    from a knowledge acquisition process or automatically synthesized from self organizingcontrol architecture. Fuzzy Logic Controllers have been used in both AGC and AVR.

    Attempt has been made to examine suitable number of triangular membership functions(MFs)that can provide better dynamic response. The dynamic responses are obtained and

    compared to those obtained with conventional integral controllers, conventional power

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    system stabilizer and Fuzzy controller. Fuzzy Logic controllers are quite robust and the

    Fuzzy rules for nominal condition need not be changed for 25% variations in systemparameters and 20% variations in operating load condition from their nominal values.

    The rest of the paper is documented in the following headings. Section 3 provides test

    power system investigation. Section 4 deals with Mathematical model SMES. Section 5 and6 incorporates fuzzy logic in AGC and AVR. Section 7 includes Simulation Results, .

    Section 8 Result and followed by References in section 9.

    3.0 System Investigation

    A single machine connected to infinite bus system (SMIB) is considered [18]. TheMATLAB-SIMULINK representation of SMIB system with AVR, exciter, Synchronous

    generator, CPSS loop, AGC loop and subsystem loop is shown in fig 1, subsystem SMES isshown in fig 3.The synchronous generator with AVR, IEEE STIA thyristor excitation

    system along with generator and equivalent transmission line reactance are represented by atwo axis fourth order model.

    3.1Automatic Generation Control

    The main aim of AGC is making ACE zero for an interconnected hydro thermal system so

    that the scheduled value of the system frequency and tie line power is maintained, In

    general two control variables associated with AGC schemes and these two variable gives anidea about ACE [20] and they are related with the equation (1).

    ACE= (P + Bf)

    tie (1)

    In the present work ACE is only, B*f bias setting of B=i is considered for both hydro and

    thermal areas. The system model is considered for continuous mode operation. The nominal

    system parameters are given in the Appendix 1.

    3.2Automatic Voltage Regulator

    AVR is about controlling the reactive power in a stable power system. The proposed AVRsystem block diagram for system simulating a fourth order model of synchronous generator

    shown in figure 1. The AVR system response is studied and simulated with PI controller,

    Conventional power system stabilizer (CPSS) and Fuzzy logic controller (FLC). First asimple system with first order generator and without PI controller is simulated. Second a

    more realistic system has been simulated with PI and a fourth order generator. Third

    conventional power system stabilizer is designed for a fourth order generator to suppressesthe voltage fluctuations, Fourth the same system is simulated with FUZZY controller

    instead of conventional and PI controllers. Dynamic response shows that performance offixed gain CPSS is better for particular operating conditions. It may not yield satisfactory

    results when there is a change in the operating point.

    3.3. Combining LFC and AVR

    Due to weak coupling relationship between the AVR and AGC, the voltage and frequency

    are regulated separately. The study of coupling effects of the AVR and AGC can be foundin Kundur [2], where it is mentioned that a small change in the electrical power Peis the

    product of the synchronizing power coefficient PS and the change in the power angle .

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    Taking in to account that the voltage is proportional to the main field winding flux Ed, the

    following linearised equation is obtained (2).

    'P K K E

    e 2 1 = + (2)

    Where K1is the change in the electrical power for a change in the direct axis flux linkage

    with constant rotor angle and K2=PS. By modifying the generator field transfer functionand taking in to account the effect of rotor angle. The equation for the stator EMF can

    expressed as (3).

    .

    K' GE (V K )f 3(1+ST )G

    = (3)

    Where K3is the demagnetizing effect of a change in the rotor angle (at steady state). Thesmall effect of this rotor angle upon the generator terminal voltage can be expressed as

    equation (4)

    Fig 2: AGC Loop Sub System

    Fig.1: MATLAB SIMULINK Representation of SMIB with AVR, SynchronousGenerator, PSS Loop, AGC Loop, SMES Loop

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    'V K K Et 4 5

    = + (4)

    Where K4is the change in terminal voltage with the change in rotor angle for Ed, K5is the

    change in terminal voltage with the change in Edfor a constant rotor angle. Therefore the

    simulation model for a fourth order machine time constant is generated figure 1.The actualmodel may vary slightly in presentations due to some limitations in the MATLAB graphicsinterface nonetheless. Note that VLand PLare included to simulate the load change in

    voltage and power respectively, which are effectively the change in real and reactive power.

    4.0 Superconducting Magnetic Energy Storage

    The operation of SMES units, that is, charging, discharging, the steady state mode and thepower modulation during dynamic oscillatory periods are controlled by the application of

    the proper positive and negative voltage to the inductor. This can be achieved by

    controlling the firing angle of the converter bridges. Neglecting the transformer and theconverter losses in [22] and DC voltage is given by in equation (5).

    E 2 V COS - 2 I R d do d c

    = (5)

    Where, Ed= DC voltage applied to the inductor (KV), = firing angle (degree), Id= current

    through the inductor (KA), Rc= equivalent commutating resistance (ohm), Vdo = maximumopen circuit bridge voltage of each 6-pulse converter at = 0 deg (KV). The inductor is

    initially charged to its rated current, Ido by applying a small positive voltage. Once thecurrent has attained the rated value, it is held constant by reducing voltage ideally to zero

    since the coil is superconducting. A very small voltage may require to over coming thecommutating resistance. The energy stored at any instant [8],

    2LIdW MJ

    L 2= ; Where, L=Inductance of SMES, H.

    a) Frequency deviation as a control signal:

    The frequency deviation f of the power system is sensed and used to control the SMESvoltage, Ed. When power is to be pumped back in to the grid in the case of fall in the

    frequency due to sudden loading in the armature, the control voltage E d is to be negative

    since the current through the inductor and thyristor cannot change its direction. Theincremental change in the voltage applied to the inductor is expressed as:

    KfE fd (1 ST )dc

    = + (6)

    Where : Edis the incremental change in converter voltage; Tdcis the converter time delay;Kfis the gain of the control loop and S is the Laplace operator d/dt. If ACE is used as

    control signal then

    Ai IAi

    K 1fE K ( f + P )- K Id i ij di(1 ST ) Bdc i

    =

    + (7)

    Where, i,j=1,2

    b) Area control error (ACE) as control signal:

    In case where tie line power deviation signals are available, it may be desirable to use areacontrol error as input to SMES control logic. This has certain disadvantages, which are

    desirable later, compared to frequency deviation derived controls. The area control error of

    two areas is defined in equation (1) and then.

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    Ai

    d i i ij

    dc i i

    K 1E ( f + P )

    (1 S T ) B =

    + (8)

    i,j = 1,2.

    5.0 The Fuzzy Logic Based PI Controller for AGC

    Fuzzy set theory and fuzzy logic establish the rules of a non-linear mapping. The use offuzzy sets provides a basis for a systematic way for the application of uncertain and

    indefinite models. Fuzzy set is based on a logical system called fuzzy logic controller.

    Because of the complexity and multi-variable conditions of the power system, conventionalcontrol methods may not give satisfactory solutions. On the other hand, robustness and

    reliability make the fuzzy logic controller useful in solving a wide range of control

    problems. The fuzzy logic controller has two input signals, namely, ACE and ACE*, theoutput signal (y) of the fuzzy logic controller is the input signal of the conventional PI

    controller. Finally, the output signal from the conventional PI controller called the control

    signal (u) is used for controlling the LFC in the interconnected power system.

    The fuzzy logic controller is comprised of four main components: the fuzzifier, theinference engine, the rule base, and the defuzzifier. By taking the system output, the control

    signal for the FLPI controller is given by in designing the FLPI controller, important

    procedures are how to obtain the PI gains, membership functions and control rules. The PIgains have been determined easily, but the membership functions and the control rules aredifficult. Thus, to simplify solving this problem, this paper presents a new approach to

    determine the PI gains, membership functions and control rules based on the TS algorithmThe membership functions of the fuzzy logic controller presented in Table.1 consist of

    three memberships functions (two-inputs and one-output). Each membership function has

    five memberships, comprising five triangular memberships. All memberships are selectedto describe all linguistic variables. For the determination of the control rules, it can be more

    complicated than membership functions, which depend on the designer experiences and

    actual physical system referred [. The FLPI controller uses the membership functions andthe control rules as shown in Figure3 and table 1 [17-20].Conventional controllers are

    derived from control theory technique based on mathematical models of the open loop

    process to be controlled. For instance, a conventional Proportional Integral controller canbe described by the function.

    TABLE - 1 KNOWLEDGE BASE

    ACE

    NL NS ZE PS PL

    NL NL NL NS NS ZE

    NS NB NL NS ZE ZE

    ZE NS NS ZE PS PS

    PS ZE PS PS PL PL

    Change

    in ACE*

    PL ZE ZE PS PL PL

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    p iU K K e dt= + (9)According to the conventional automatic theory. The performance of the PI controller isdetermined by its proportional parameter KP and integral parameter KI. The proportional

    controller provides control action equal to some of multiple of error, while the integral

    controller term forces the steady state error to zero.

    6.0 FUZZY-Logic Based Power System Stabilizer

    Power system stabilizers (PSSs) are added to excitation system to enhance the dampingduring low frequency oscillations. This paper presents a study of fuzzy logic based PI

    controller with power system stabilizer (PSS) for stability enhancement of a single machinepower system. In order to accomplish the stability enhancement, speed deviation () and

    acceleration () of the rotor of synchronous generator were taken as the input to the fuzzylogic controller. This variable gives significant effects on damping of the generator shaft

    mechanical oscillations. The stabilizing signals were computed using the fuzzy membershipfunctions depending on these variables.

    TABLE-2 KNOWLEDGE BASE

    The nonlinear model of single machine infinite bus system (SMIB) developed usingSimulink. After choosing proper variables as input and output of fuzzy controller, it is

    required to decide on the linguistic variables. These variables transform the numericalvalues of the input of the fuzzy controller to fuzzy quantities. The number of these

    linguistic variables specifies the quality of the control which can be achieved using the

    fuzzy controller. As the number of the linguistic variables increases, the Computationaltime and required memory increase. Therefore, a compromise between the qualities of

    control and computational time is needed to choose the number of linguistic variables. Forthe power system under study, five linguistic variables for each of the input and output

    variables are used to describe them in Large Negative (LN), Medium Negative (MN),Zero(Z), Medium positive (MP), Large positive (LP).The two inputs; speed deviation andacceleration, result in 25 rules for each machine. Decision in table 2 shows the result of 25

    rules, where a positive control signal is for the deceleration control and a negative signal is

    for acceleration control.

    7.0 Simulation Results

    Simulation study has been carried out by varying active and reactive power. The presentsystem model is new one and totally different form reference [5-8]. Fuzzy based SMES

    system results are newly computed and compared with CPSS, PI controllers. The majorobservations of the present works are as documented:(i) Sensitivity Analysis

    In this paper, the investigations are carried out to study the effect of power system by

    varying system parameters like H, Tg, Tt, Kr, Tr, real and reactive power. the parameters are

    LN MN Z MP LN

    LP Z Z MP MP LP

    MP MN Z Z MP MP

    Z MN Z Z Z MP

    MN MN MN Z Z MP

    LN LN MN MN Z Z

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    varied by 25% from the nominal values. From reference [5-8] results, the dynamic

    response hardly changes by 25% variations in system parameters, for correspondingoptimum PI gains. But the Fuzzy controllers are quite robust for system parameter

    variations. The table 3 clearly shows parameter variation should not affect the dynamic

    response of the system.

    Table -3 Sensitivity Analysis

    Parameter variation Load KP KI

    All nominal 100% 5.326 0.050

    30% 6.431 0.085Load Parameter

    70% 6.213 0.073

    75% 6.332 0.045H parameter125% 7.236 0.086

    75% 7.523 0.048TgParameter

    125% 7.653 0.087

    75% 4.882 0.046TtParameter

    125% 7.123 0.066

    75% 4.775 0.043Krparameter 125% 7.865 0.088

    75% 3.851 0.049Trparameter

    125% 7.995 0.091

    30% 3.261 0.025P & Q Variations

    70% 4.163 0.043

    (ii)Comparison of single stage and double stage reheat turbine for thermal unit

    From figure 4(a) & (b), the optimal transient performance of the power system for thermal

    unit with single stage reheat and double stage reheat turbine in the AGC loop coupled withCPSS & PI plus AVR loop is portrayed both for 0.01 p.u. step perturbation in load torque,

    operating condition being P=0.9, Q=0.1, Xe=0.4752, Et=1.0. From this figure, it is againobserved that while comparing the transient response profile of the power system for single

    stage and double stage reheat turbine, it is clear that, both the turbine models yield the same

    performance .Thus, it may be inferred that a double stage turbine can be modeled as asingle stage one

    (iii) Comparison of electric and mechanical governor for hydro unit:From figure 5 (a) and (b), a close look at the comparative performance characteristics ofelectric governor and mechanical governor for hydro unit unveil that electric governor is

    better than mechanical governor when system transient performance is of interest. In the

    recent work carried out by Nanda et al.[2],a very fast oscillation in the performance ofmechanical governor while settling down the frequency deviation in the AGC loop is

    noticed. However, in the present work, due to the assistance of PSS loop that very fast

    oscillatory response is not present in mechanical governor .However, a very fast initial

    oscillation for a short duration in electric governor is noticed due to system transient.

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    (iv) Performance evaluation and comparative analysis of AGC (PI) with different AVR systems

    (PI, CPSS, FUZZY).

    Figure 6 (a), (b), (c) and (d) shows the optimal transient performance of power system withvarious combination of AVR, corresponding to an operating condition of P=0.9,Q=0.1,

    Xa=0.4752, E

    t=1.0 for thermal with single stage reheat turbine. Simulated results are

    displayed in figure (a) to (d). From these results , it is noted that the importance of CPSS

    action for either 0.01P.U step perturbation in reference voltage, the system transientperformance is better than PI controller, CPSS improves the dynamic performance and it

    reduces settling time, peak over shoot. But compared to AVR with CPSS, fuzzy controller

    reduces settling time faster manner, the Fuzzy with power system transient performance isbetter than PI and CPSS.

    (v)Performance evaluation and comparative analysis of Power System with Conventional

    Controller and FUZZY controller.

    Figures 7(a), (b) shows the optimal transient performance of power system with various

    combination of AVR AGC with PI and Fuzzy controllers, corresponding to an operatingcondition of P=0.9,Q=0.1, Xa=0.4752, Et=1.0 for thermal with single stage reheat turbine.

    Simulated results are displayed, it is noted that the importance of Fuzzy action for either

    0.01P.U step perturbation in reference voltage, the system transient performance is better

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    than PI controller, CPSS improves the dynamic performance and it reduces settling time,

    peak over shoot. But compared to AVR with CPSS, fuzzy controller reduces settling timefaster manner, the Fuzzy with power system transient performance is better than PI and

    CPSS.

    (vi)

    Performance evaluation of SMES with single reheat thermal unit:

    Figure 8 shows the simulation results, where the SMES is located at the generator terminal,the optimal transient performance of the power system corresponding to an operating

    condition of P=0.9, Q=0.1, Xe=0.4752, Et =1.0. For thermal unit with single stage reheat

    turbine in the AGC loop. From this figure it is noticed that the fluctuation of voltagesuppressed although the damping of power oscillations are hardly improved. The damping

    is improved when the active power control is used. In contrast with these, the fluctuation ofvoltage is suppressed and damping is improved as well when the simultaneous control of

    active and reactive power is applied. Due to the application of SMES action for either 0.01p.u. step perturbation in reference voltage or that in load torque the system transient

    performance is considerably improved and settling time Ts, Mp, Peak Time Tpare listed intable 4 and corresponding controller gains are listed in table 5. The values of settling time

    Ts, Mp, Peak Time Tp are reduced with the application of SMES.In figure 8 the dynamic performance has been compared with and without SMES under

    different types of controllers. The main task of SMES may be attributed from the action ofa sudden rise in the demand of load. Under this contingency condition, the stored energy inSMES is almost immediately released through the PCS to the grid as line quality AC. As

    the governor and other control mechanisms start working to set the power system to the

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    new equilibrium condition. Thus, improved transient performance is gained with the

    application of SMES in the interactive with AVR and AGC with different controllers.

    Table -4 coordinated performance of AGC, AVR & SMES with Different Controllers.

    Settling time Peak over shoot Rise time

    AGC(PI)+AVR(PI) 10.0 0.0066 1.00AGC(PI)+AVR(PI)+SMES 5.0 0.0085 0.05

    AGC(PI)+AVR(CPSS) 8.0 0.0025 0.05

    AGC(PI)+AVR(CPSS)+SMES 4.5 0.0095 0.06

    AGC(FUZZY)+AVR(PI) 6.0 0.0015 0.10

    AGC(FUZZY)+AVR(PI)+SMES 4.8 0.0018 0.10

    AGC(FUZZY)+AVR(CPSS) 5.4 0.0016 0.10

    AGC(FUZZY)+AVR(CPSS)+SMES 4.6 0.0020 0.04

    AGC(FUZZY)+AVR(FUZZY) 3.0 0.0026 0.05

    AGC(FUZZY)+AVR(FUZZY)+SMES 2.5 0.0035 1.00

    .

    8.0 Conclusion

    (a) Performance of thermal single stage and double stage reheat turbines are close to each

    other in the context of transient analysis. Thus a single stage reheat may replace in a double

    stage reheat for all the practical purposes. Similarly Electrical governor is superior tomechanical governor and it yields better dynamic response with SMES.

    (b)

    Superconducting magnetic energy storage units are successfully implemented forimproving small signal dynamic performance of the power system. Inclusion of SMES unit

    in coordinated with AVR, CPSS and AGC loop with either single stage or double stagereheat turbine improves the transient performance considerably. Due to inclusion of SMES

    unit in the coordinated system configuration, same enhancement in the transient response

    Table 5: Coordinated Performance of CPSS, AGC, CPSS, AGC & SMES SystemPerformance Under 0.01P.U Step perturbation in Reference Voltage with different

    operating condition

    0.01 P.U SteP.U Type Of AGC System Model KI KP

    CPSS & AGC 5.3261 0.052Thermal unit with single stagereheat turbine CPSS , AGC & SMES 0.7995 0.193

    CPSS & AGC 6.3216 0.045Thermal unit with double stage

    reheat turbine CPSS , AGC & SMES 0.6569 0.168

    CPSS&AGC 6.3261 0.0453

    Hydro unit with electric governor CPSS, AGC & SMES 0.5992 0.219

    CPSS&AGC 5.9261 0.085

    P=0.2

    Q=-0.2

    V=1.0

    Hydro unit with mechanicalgovernor CPSS, AGC & SMES 0.6595 0.168

    CPSS & AGC 7.3261 0.052Thermal unit with single stage

    reheat turbine CPSS , AGC & SMES 0.9995 0.198

    CPSS & AGC 6.3261 0.066Thermal unit with double stage

    reheat turbine CPSS , AGC & SMES 0.8895 0.067

    CPSS&AGC 6.3261 0.234Hydro unit with electric governor

    CPSS, AGC & SMES 0.8895 0.234

    CPSS&AGC 6.3261 0.198

    P=0.6

    Q=0.4

    V=1.0

    Hydro unit with mechanicalgovernor CPSS, AGC & SMES 0.5992 0.056

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    occurs for the electric or mechanical governor installed in the hydro automatic generation

    loop.(c) Investigation reveal that the proposed Fuzzy controllers gains are quite robust , i.e

    25% variation in system parameters, operating condition, etc from their nominal values

    do not affect the system responses appreciably. Also this study reveals that the improved

    dynamic stabilization action of SMES is always consistent under increase or decrease ineither reference voltage and /or load torque irrespective of the AGC configuration.(d) In this study the fuzzy logic power system stabilizer is designed for Single Machine

    Power System along with AGC. The performance of the power system with fuzzy logicpower system stabilizer, AGC loop is better one since it is effective for all test conditions. It

    is shown that an excellent performance of the fuzzy control over the conventional one forthe excitation control of synchronous machines could be achieved.

    9.0 References

    [1]

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    international conference on electric utility deregulation, Restructuring and powertechnologies, Hong Kong, 2004.

    [5]J.Nanda,A.Mangala,S.Suri, Some New findings on Automatic generation control of an

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    Control of a Hydro-Thermal and Thermal-Thermal system in a Deregulated

    Environment,Journal of electrical systems Volume 5,2009.[7]H.J.Kunish, K.G.Krammer and H.Domonic Battery Energy Storage-Another Option

    for Load Frequency Control & Instantaneous reserve, IEEE Trans on Energy conversionVol E-1, No.3.pp41-46,Sep 1986.

    [8]H.J.Boeniig & J.F.Haur, Commissioning tests of the Bonneville power Administration

    30 MJ super conducting Magnetic storage unit, IEEE Trans on power apparatus &

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    10.0 Appendix

    SMIB data: Xd=0.973, Xd=0.19, Ka=50, Ta=0.05s.

    AGC loop time constant: R= 2.4 Hz/per unit MW, B = 0.275, D=0.0, Xq=0.55,Tdo=7.765s, H=4.63,

    Re=0, Xe=0.997.

    Single Stage Reheat turbine data: Tg=0.08s, Tt=0.3s, e=0.35.

    Double Stage Reheat turbine data: Tr1=10s, Tr2=10s, Tt=0.3s, Kr1=0.2, Kr2=0.2.

    Stabilizer datas at Different Operating Conditions (P, Q & V Variations)

    CASE-I: P=0.9 P.U, Q=0.1 P.U, V=1.0 P.U.

    K1=0.6067, K2=1.0065, K3=0.6025, K4=0.3625, K5=-0.1076 , K6=0.7604.CASE-II: P=1.0 P.U, Q=0.8 P.U, V=1.0 P.U.

    K1=-0.3140, K2=-0.8455, K3=0.6025, K4=-0.3045, K5=0.1712, K6=0.7846.

    CASE-III: P=0.25 P.U, Q=0.8 P.U, V=1.0 P.U.

    K1=0.1803, K2=0.2252 , K3=0.6025, K4=0.0811, K5=-0.0366, K6=0.8361.

    Conventional Power System Stabilizer fixed data : Tww=10s, Td2=0.05s, Td4=0.05s. The OptimizedGain parameter for a step load of 0.01P.U in area1.Refered in [2], [16].

    SMES Data: When the Frequency deviation is used as the SMES contol signal- Ki1=0.875, KF1=35

    Kw/Hz, Kid=0.20 Kw/KA

    When ACE is Used as the SMES Control Signal: KI1=0.70, Kb1=50Kv/Unit ACE, Kid=0.20Kv/KA.