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

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Adding a compensator in parallel with load E So that E = V I S Replace Q L by R S +jX S V E Q = Q + 2 S Such that = L Q C ( V + Δ ) 2 + ( Δ ) 2 V R V X I L I C = ⎧ RS PL + Q ⎨V + ⎩ V S X S ⎫ ⎬ ⎭ 2 + ⎧ ⎨ ⎩ X S P L − V R S Q S ⎫ ⎬ ⎭ 2 − −( A) Application of Power Electronics in Power Systems B. G. Fernandes 44/454
Vary Q S => ΔV rotates till E = V Solve (A) with E = V E jI S X S I C ΔV • There is always a solution for Q C for any value of P I S V I S R S I L Application of Power Electronics in Power Systems B. G. Fernandes 45/454
Page 1 and 2: EE 660 Application of Power Electro
Page 3 and 4: Books for Reference • T. J. E. Mi
Page 5 and 6: • Consumption of Electricity are
Page 7 and 8: • Thermal limit (depends on ambie
Page 9 and 10: • Voltage profile along the line
Page 11 and 12: • To control V R & ↑ power tran
Page 13 and 14: • High ‘V’ & high KVar source
Page 15 and 16: • What sort of PWM technique to u
Page 17 and 18: V = V = V = m S R V It can be shown
Page 19 and 20: Provide • Series capacitive compe
Page 21 and 22: • Is it possible to change the ph
Page 23 and 24: • Injecting V in series with line
Page 25 and 26: • Definite amount of power that s
Page 27 and 28: • To control the power flow & to
Page 29 and 30: • Most of the loads are Non-linea
Page 31 and 32: Current drawn by the load fed from
Page 33 and 34: Effect of harmonics: A. In the Rota
Page 35 and 36: Conclusions • Load compensator +
Page 37 and 38: Notation of quality of supply • H
Page 39 and 40: Ideal compensator • Correct the p
Page 41 and 42: Voltage regulation • Which is the
Page 43: I L = P L − V jQ L ΔV = ( R + jX
Page 47 and 48: • Approximate relationship for vo
Page 49 and 50: • If short circuit resistance of
Page 51 and 52: I a = V R ab Vca − jX VL∠0 V∠
Page 53 and 54: I b = I c ∠120 ⎛ ⎜ ⎝ 3 2X
Page 55 and 56: Contd.. • Using passive reactive
Page 57 and 58: Comments • Branch currents of Δ
Page 59 and 60: Application of Power Electronics in
Page 61 and 62: • May not be possible • Most of
Page 63 and 64: • Can be shown that if V < C1 V S
Page 65 and 66: • M => Magnitude of sine wave (no
Page 67 and 68: Review • Linear lagging load can
Page 69 and 70: Contd.. • If space vector PWM is
Page 71 and 72: ⇒ (n-1) harmonics are eliminated
Page 73 and 74: • Assume that there are 5 switchi
Page 75 and 76: • Non-linear transcendental equat
Page 77 and 78: How to calculate Ref. Var ? i = I m
Page 79 and 80: Controlled current SLCVC • Compen
Page 81 and 82: Control strategy -I Application of
Page 83 and 84: Review • In harmonic elimination
Page 85 and 86: Contd.. Controlled current SLCVC
Page 87 and 88: • i S * is in phase with v S •
Page 89 and 90: • If Inverter i S * is changed in
Page 91 and 92: • Use two compensators & connect
Page 93 and 94: • Main compensator ⇒ Voltage co
Page 95 and 96:
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
Page 111 and 112:
Application of Power Electronics in
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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
Page 117 and 118:
Review Instantaneous real power P =
Page 119 and 120:
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
Page 127 and 128:
• 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
Page 135 and 136:
Review • In synchronous rotating
Page 137 and 138:
To change MI using harmonic elimina
Page 139 and 140:
Page 141 and 142:
• 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
Page 157 and 158:
1φ AC-DC Control technique (1 −
Page 159 and 160:
Alternate Approach DC-DC Converter
Page 161 and 162:
• Information regarding V s shoul
Page 163 and 164:
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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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Page 173 and 174:
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 /
Page 183 and 184:
Voltage space vectors for 3 level i
Page 185 and 186:
( 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
Page 189 and 190:
V q ∴V S = = 3 2 V 2 dC ⎡V ⎢
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OOP : V AO = V dC /2, V BO = V CO =
Page 193 and 194:
OPO : V AO = V CO = 0, V BO = V dC
Page 195 and 196:
Medium voltage vectors ONP : V AO =
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NPO : V AO = 0, V BO = V dC /2 , V
Page 199 and 200:
Page 201 and 202:
Contd.. • No. of medium voltage v
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Voltage control • Space vector PW
Page 205 and 206:
• Unbalances has no effect on loa
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• Passive elements Load compensat
Page 209 and 210:
Shunt Compensation : • Inject cur
Page 211 and 212:
Mid point voltage regulator • Two
Page 213 and 214:
Page 215 and 216:
• Reactive power supplied by the
Page 217 and 218:
• Shunt compensator can increase
Page 219 and 220:
Review Mid-point shunt compensation
Page 221 and 222:
Summary • Compensator must remain
Page 223 and 224:
Variable impedance type S.V.C 1. Th
Page 225 and 226:
• ‘i’ is continuous when α =
Page 227 and 228:
2. Thyristor switched capacitor (TS
Page 229 and 230:
3. Fixed Capacitor, Thyristor contr
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• At α = π/2, Q L = Q L(max)
Page 233 and 234:
Control • ‘Q’ is controlled b
Page 235 and 236:
Operating V-I region Application of
Page 237 and 238:
Contd.. T.S.C • Thyristors are tr
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Advantages • Since voltage profil
Page 241 and 242:
Series compensation • Injects vol
Page 243 and 244:
X eff = ( X − X ) L C = ( 1− K
Page 245 and 246:
Q Q se sh = tan ⎛ ⎜ ⎝ 2 δ ma
Page 247 and 248:
Approaches to controllable series c
Page 249 and 250:
• Amplitude of the fundamental V
Page 251 and 252:
(b). Impedance compensation mode: V
Page 253 and 254:
Review GTO controlled series capaci
Page 255 and 256:
Contd.. • Control ‘i’ in ‘L
Page 257 and 258:
Voltage compensating mode : • Rea
Page 259 and 260:
• In FCTCR continuously varying c
Page 261 and 262:
V 2 1 I1 ⎜ Sin X ⎝ π π ⎛
Page 263 and 264:
Page 265 and 266:
• If X L (α) < X C , There are t
Page 267 and 268:
• ‘V C ’ gets distorted • I
Page 269 and 270:
• If X TCR = 1.5X C ⇒ Capacitiv
Page 271 and 272:
Modes of operation By pass mode :
Page 273 and 274:
Static Synchronous Series Compensat
Page 275 and 276:
• Voltage across ‘L’ ⇒ V (
Page 277 and 278:
Contd.. • For both region X L < X
Page 279 and 280:
Control range: • Voltage compensa
Page 281 and 282:
• Compensation for both reactive
Page 283 and 284:
• If V S = V R =V Per phase power
Page 285 and 286:
⇒ Reactive VA associated with the
Page 287 and 288:
Voltage & phase angle regulators Vo
Page 289 and 290:
Power flow control : • Optimal lo
Page 291 and 292:
• Basic idea is to keep the trans
Page 293 and 294:
UPFC : • Able to control simultan
Page 295 and 296:
• Independently control the react
Page 297 and 298:
Case1 : Control capabilities ρ = 0
Page 299 and 300:
U.P.F.C : Review • Two VSI connec
Page 301 and 302:
Using UPFC • Active power flow an
Page 303 and 304:
⇒ A common DC-link voltage is reg
Page 305 and 306:
= Ve ⎧V ⎨ ⎩ ( Cosδ 2 − jSi
Page 307 and 308:
• ‘ρ’ can vary from 0 to 2π
Page 309 and 310:
⇒ Shunt current is controlled ind
Page 311 and 312:
FACTS installments in India • TSC
Page 313 and 314:
HVDC • Long distance transmission
Page 315 and 316:
Back to Back : • Chandrapur - Ram
Page 317 and 318:
• ‘P’ through link can not be
Page 319 and 320:
• If alternator-2 generates 1000
Page 321 and 322:
Page 323 and 324:
• One conductor (generally -ve)
Page 325 and 326:
• Each terminal has two converter
Page 327 and 328:
Components of HVDC transmission Bi-
Page 329 and 330:
Smoothing Reactor : Large value of
Page 331 and 332:
Reactive power support : • Both c
Page 333 and 334:
• If α 1 is trigger angle for br
Page 335 and 336:
⇒T 1 is turned off at ωt= 30+ (3
Page 337 and 338:
At ωt = 210 o V a = Sin210 = −1
Page 339 and 340:
At ωt = 330 o V a −1 2, V = 1 =
Page 341 and 342:
At ωt = 300 o V − 3 2, V = 0 V =
Page 343 and 344:
Vdc = 2.34V ph. Cosα =1.35V LL .Co
Page 345 and 346:
Contd.. • As α 1 ↑ (AC-DC conv
Page 347 and 348:
Phase relationship between phase V
Page 349 and 350:
As α↑: • V dc ↓ • Displace
Page 351 and 352:
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:
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 and 404:
• Therefore rectifier characteris
Page 405 and 406:
• At normal voltage , 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:
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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BG Fernandes Department of Electrical Engineering II T - Power ...

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