BG Fernandes Department of Electrical Engineering II T - Power ...

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∴V dco Cosα = K [ I − I ] order d = V + R d cr I d I ord ⇒ current order V = KI − + d order ( K R ) cr I d ΔV d = − ( K + R ) cr ΔI d ∴ ΔV ΔI d d = − ( K + R ) cr ⇒ (with PI it is vertical) Application of Power Electronics in Power Systems B. G. Fernandes 404/454
• At normal voltage , characteristics is defined by FAB • At reduced ‘V’, it shifts down ⇒ F 1 A 1 B 1 • CEA characteristics of the inverter intersect at ‘E’ for normal ‘V’ condition Application of Power Electronics in Power Systems B. G. Fernandes 405/454
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EE 660 Application of Power Electro
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Books for Reference • T. J. E. Mi
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• Consumption of Electricity are
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• Thermal limit (depends on ambie
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• Voltage profile along the line
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• To control V R & ↑ power tran
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• High ‘V’ & high KVar source
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• What sort of PWM technique to u
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V = V = V = m S R V It can be shown
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Provide • Series capacitive compe
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• Is it possible to change the ph
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• Injecting V in series with line
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• Definite amount of power that s
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• To control the power flow & to
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• Most of the loads are Non-linea
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Current drawn by the load fed from
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Effect of harmonics: A. In the Rota
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Conclusions • Load compensator +
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Notation of quality of supply • H
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Ideal compensator • Correct the p
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Voltage regulation • Which is the
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I L = P L − V jQ L ΔV = ( R + jX
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Vary Q S => ΔV rotates till E = V
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• Approximate relationship for vo
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• If short circuit resistance of
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I a = V R ab Vca − jX VL∠0 V∠
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I b = I c ∠120 ⎛ ⎜ ⎝ 3 2X
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Contd.. • Using passive reactive
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Comments • Branch currents of Δ
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Application of Power Electronics in
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• May not be possible • Most of
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• Can be shown that if V < C1 V S
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• M => Magnitude of sine wave (no
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Review • Linear lagging load can
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Contd.. • If space vector PWM is
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⇒ (n-1) harmonics are eliminated
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• Assume that there are 5 switchi
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• Non-linear transcendental equat
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How to calculate Ref. Var ? i = I m
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Controlled current SLCVC • Compen
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Control strategy -I Application of
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Review • In harmonic elimination
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Contd.. Controlled current SLCVC
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• i S * is in phase with v S •
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• If Inverter i S * is changed in
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• Use two compensators & connect
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• Main compensator ⇒ Voltage co
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i Cm1 = V S −VCm 1∠ −δ Z∠
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• Var calculator determines V * d
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Contd.. • For high power applicat
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[A] [v'] = [z] [A] [i'] [v'] = [A]
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Vector representation of instantane
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[ C] t = ⎡ ⎢ ⎢− ⎢ ⎣−
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⎡v ⎢ ⎢ v ⎢⎣ v a b c ⎤
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e e i i α β α β = = V V S S cos
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e . q i * = β α C 3 2 + ( 2 2 ) e
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• Frequency of e α , i α , e β
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Review Instantaneous real power P =
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Contd.. Application of Power Electr
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Change of reference frame q S d S d
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• Let us assume that v S is along
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• AC filtering ⇒ phase shift
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• Information about system freque
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* x ∫ ω xt () x y n + 1 − Δ t
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e α = e a − 1 2 e b − 1 2 e c
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e d e d = = = e e s e s α cos( θ
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Review • In synchronous rotating
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To change MI using harmonic elimina
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• 3φ sinusoids which are in phas
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• This voltage waveform can be us
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1 1 • = = Switching frequency T T
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• Assume that over one cycle V re
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Rule to be followed • A term in t
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S 4 , S 3 ON for DT S : di L = V s
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Aim • i s and V s should be in ph
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Contd.. • Generate reset pulse at
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1φ AC-DC Control technique (1 −
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Alternate Approach DC-DC Converter
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• Information regarding V s shoul
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Inverter topology for high power ap
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• Number of pulse should be high
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Switches ON V AX S1, S2 V dc S2, S3
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Review • In one cycle control ‘
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Contd.. • At any time 2-devices (
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4-level inverter • Number of swit
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S2, S3, S4 ON : ⇒ V AX = 2V dc /3
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• ‘V’ rating of D B = 2V dc /
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Voltage space vectors for 3 level i
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( NNP ) ⇒ ( 001 ) ⇒ ( PPN ) ⇒
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C B A O O N O N O N O O C B A O N N
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V q ∴V S = = 3 2 V 2 dC ⎡V ⎢
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OOP : V AO = V dC /2, V BO = V CO =
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OPO : V AO = V CO = 0, V BO = V dC
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Medium voltage vectors ONP : V AO =
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NPO : V AO = 0, V BO = V dC /2 , V
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Contd.. • No. of medium voltage v
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Voltage control • Space vector PW
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• Unbalances has no effect on loa
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• Passive elements Load compensat
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Shunt Compensation : • Inject cur
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Mid point voltage regulator • Two
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• Reactive power supplied by the
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• Shunt compensator can increase
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Review Mid-point shunt compensation
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Summary • Compensator must remain
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Variable impedance type S.V.C 1. Th
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• ‘i’ is continuous when α =
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2. Thyristor switched capacitor (TS
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3. Fixed Capacitor, Thyristor contr
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• At α = π/2, Q L = Q L(max)
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Control • ‘Q’ is controlled b
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Operating V-I region Application of
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Contd.. T.S.C • Thyristors are tr
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Advantages • Since voltage profil
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Series compensation • Injects vol
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X eff = ( X − X ) L C = ( 1− K
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Q Q se sh = tan ⎛ ⎜ ⎝ 2 δ ma
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Approaches to controllable series c
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• Amplitude of the fundamental V
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(b). Impedance compensation mode: V
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Review GTO controlled series capaci
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Contd.. • Control ‘i’ in ‘L
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Voltage compensating mode : • Rea
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• In FCTCR continuously varying c
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V 2 1 I1 ⎜ Sin X ⎝ π π ⎛
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• If X L (α) < X C , There are t
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• ‘V C ’ gets distorted • I
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• If X TCR = 1.5X C ⇒ Capacitiv
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Modes of operation By pass mode :
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Static Synchronous Series Compensat
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• Voltage across ‘L’ ⇒ V (
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Contd.. • For both region X L < X
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Control range: • Voltage compensa
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• Compensation for both reactive
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• If V S = V R =V Per phase power
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⇒ Reactive VA associated with the
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Voltage & phase angle regulators Vo
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Power flow control : • Optimal lo
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• Basic idea is to keep the trans
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UPFC : • Able to control simultan
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• Independently control the react
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Case1 : Control capabilities ρ = 0
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U.P.F.C : Review • Two VSI connec
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Using UPFC • Active power flow an
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⇒ A common DC-link voltage is reg
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= Ve ⎧V ⎨ ⎩ ( Cosδ 2 − jSi
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• ‘ρ’ can vary from 0 to 2π
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⇒ Shunt current is controlled ind
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FACTS installments in India • TSC
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HVDC • Long distance transmission
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Back to Back : • Chandrapur - Ram
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• ‘P’ through link can not be
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• If alternator-2 generates 1000
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• One conductor (generally -ve)
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• Each terminal has two converter
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Components of HVDC transmission Bi-
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Smoothing Reactor : Large value of
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Reactive power support : • Both c
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• If α 1 is trigger angle for br
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⇒T 1 is turned off at ωt= 30+ (3
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At ωt = 210 o V a = Sin210 = −1
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At ωt = 330 o V a −1 2, V = 1 =
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At ωt = 300 o V − 3 2, V = 0 V =
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Vdc = 2.34V ph. Cosα =1.35V LL .Co
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Contd.. • As α 1 ↑ (AC-DC conv
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Phase relationship between phase V
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As α↑: • V dc ↓ • Displace
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Boundary conditions : At ωt = α,
Page 353 and 354: ∴V 0 = V pn −V mn V = − 2 cn
Page 355 and 356: Representation of inverter mode of
Page 357 and 358: Converter α ⇒ delay angle μ ⇒
Page 359 and 360: V dco = [cos + cos γ ] − − −
Page 361 and 362: 12-pulse converter • Series conne
Page 363 and 364: Application of Power Electronics in
Page 365 and 366: V d ⎛ 3 = VdoCosα − Id . B.
Page 367 and 368: • 24/36 harmonic filter ⇒ 2*80
Page 369 and 370: Direct current : • Nominal I ⇒
Page 371 and 372: Basic control : • DC voltage or I
Page 373 and 374: Basis for selection of control : Fo
Page 375 and 376: • Denominator is very small • A
Page 377 and 378: • P.F should be as high as possib
Page 379 and 380: • γ ⇒ necessary to maintain a
Page 381 and 382: I d = V dcor Cosα −V R + R + cr
Page 383 and 384: • Maintains adequate commutation
Page 385 and 386: • As taps are changed, CEA regula
Page 387 and 388: Basic control : • DC voltage or I
Page 389 and 390: Basis for selection of control : Fo
Page 391 and 392: • Rectifier control ⇒ To preven
Page 393 and 394: Control of HVDC system Application
Page 395 and 396: • Quantities forming the co-ordin
Page 397 and 398: • Rectifier characteristics can b
Page 399 and 400: • Constant current characteristic
Page 401 and 402: • After some time, tap changer ch
Page 403: • Therefore rectifier characteris
Page 407 and 408: • In order to avoid the problem,
Page 409 and 410: • When inverter is on current con
Page 411 and 412: When does change over take place ?
Page 413 and 414: Review Rectifier characteristics Co
Page 415 and 416: • ‘e’ is -ve, ‘K’ is +ve
Page 417 and 418: • Due to line fault or during low
Page 419 and 420: Inverter side : • I d can be ↑
Page 421 and 422: Mode stabilization : • Intersecti
Page 423 and 424: • ‘V’ profile is flat • Con
Page 425 and 426: • V dcoi Cosβ remains constant
Page 427 and 428: Current limit Maximum current limit
Page 429 and 430: Voltage depend current-order limit
Page 431 and 432: • VDCOL characteristics could be
Page 433 and 434: Contd.. But I ref(R) > I ref(I) I r
Page 435 and 436: Contd.. Mode stabilization : • In
Page 437 and 438: Voltage depend current-order limit
Page 439 and 440: • VDCOL characteristics could be
Page 441 and 442: Application of Power Electronics in
Page 443 and 444: Significant aspects of basic contro
Page 445 and 446: • If there is a ↓ in AC voltage
Page 447 and 448: ⇒ Achieved using by pass valve an
Page 449 and 450: • For energization of blocked bri
Page 451 and 452: • Instead use VSI • ‘I’ cou
Page 453 and 454: • ‘V’ can not reverse, but
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