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# Transients in Power Systems ECE 524

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This 13 page Class Notes was uploaded by Fredy Okuneva on Thursday October 22, 2015. The Class Notes belongs to ECE 524 at University of Idaho taught by Brian Johnson in Fall. Since its upload, it has received 31 views. For similar materials see /class/227723/ece-524-university-of-idaho in ELECTRICAL AND COMPUTER ENGINEERING at University of Idaho.

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Date Created: 10/22/15

SI 39OU NOISSEIS SIAIELLSAS EIEIMOd NI SiNEISNVHJ 1729 EDEI m Universityofldaho T mosmssnm L Ms quot HM F Cram if 1 1mm Cmov4 Mb 3 4qu wmeWD cw wi 1 Mada mow oqepllomgwmgun w m Universityofldaho an aim QM mm 0 He WWW m m Universityofldaho 50 mm Ow rm 0 so M NM 09 W Um Z gg k m w Universityafldahe m m sqm w 90f me C 3 M c a quot Swamp 4 W94 w m dam Adam 1M We La 618 m Un iversi t39yofldahQ Emma warm w39Hx 9 m 32 u m ECESZ4 Session 18 Page 521 Transients in Power Systems Spring 2008 Entering Data For Coupled RL Model 0 6 characters for resistance values 0 12 characters for inductances 0 Conductor numbers have 5 rst 51 52 C Coupled RL Section C C BuslgtBuszrgtBus3gtBus4vgto Rlt r Llt Rlt ltLltvvr Rlt v quotL SlBUSKl BUSMl R11 L11 52BUSK2 BUSMZ R21 L21 R22 L22 53BUSK3 BUSM3 R31 L31 R32 L32 R33 L33 54BUSK4 BUSM4 R41 L41 R42 L42 R43 L43 C The next card is a continuation card for conductor 4 and this would C continue for additional conductors up to 12 although anything above C 6 may be of questionable accuracy when you find the parameters R44 L44 0 Note that you will normally have non zero elements for Rii terms and zero elements for RU where 139 7E j 0 Can use this model for transformer equivalents Coupled RL Model Spring 2008 ECE524 Session 18 Page 621 Transients in Power Systems Spring 2008 Modi cation for Sequence Domain Model Representation o Coupled RL can be modi ed to form a sequence domain equivalent circuit 0 No cross coupling terms only one R and one L value are needed in each row 0 51 is the zero sequence 52 is positive sequence 53 is negative sequence 0659 Eh Li 0 Any numbers in the columns after the L terms will cau EMTP to treat this as a normal coupled RL branch is def m R Le C Coupled RL Section sequence domain representation C BuslgtBus2gtBus3AgtBus4rgtlt Rlt 39 v v 77L SlBUSKl BUSMl R0 LO SZBUSKZ BUSMZ R1 L1 53BUSK3 BUSM3 i Coupled RL Model Spring 2008 ECE524 Transients in Power Systems Session 18 Page 921 Spring 2008 Using PI Models 0 The user can connect multiple pi sections in series to form an equivalent for a long transmission line a EMTP will need to compute all of the intermediate node voltages 0 Line Constants program can be used to create coupled Pl data 0 Older versions on ATP pre 1997 incorrectly converted line length for met ric cases Coupled Pl Model Spring 2008 f ECE524 W Transients in Power Systems Session 18 age 1021 Spring 2008 m m Travelling Wave Models for Transmission Lines 0 A more accurate model of a line can be developed starting from distributed R L and C representation 0 Start with a single element 0 Capacitive charge is Q CvAx where C is capacitance per unit length and Ax is length ofthe segment to R 55 0 Current I 9179 2 CvAx i A L ZEN 9 Take limit as Ax approaches 0 g Cg l V o Flux in inductance I LAxi 9 Voltage is Av LAxi g V In the limit 3 L31 2 Distributed Parameter Line Model Spring 2008 SW ECE524 Session 18 Page 121 Transienm in Power Systems 39 Spring 2008 Options for Modeling Transmission Lines 0 Standard short medium and long line models for phasor domain programs 0 Sequence of single phase PI segments 0 Coupled three phase RL Models 0 Coupled PI Segments 0 Distributed parameter or travelling wave models 0 Frequency dependent line models General Concepts Spring 2008 ECE524 Session 18 Page 221 Transienm in Power Systems 39 Spring 2008 Phasor Domain Models 0 Transmission line Viewed as sequence of distributed series RL elements with shunt capacitances o If only care about 60 Hz response can lump the R L and C o The quarter wavelength at 60 Hz longer than most lines 0 Short line model length lt50 miles lumped series R L Where R r length L l length Phasor R ij 0 Medium length line model 50 milesltlengthlt 150 miles single phase pi model series R L Phasor Z R j COL from short line with g at each end Where Y 7gtllt length 7 4 food 0 Long length line model lengthgt 150 miles Replace 2 from medium line with 7 2mg and Y with g gt ggI z General Concepts Spring 2008 ECE524 Session 18 Page 321 Transienm in Power Systems Spring 2008 Transient Modeling of Lines 0 Phasor models for transmission lines are inadequate for modeling transients 0 Distributed R L and C respond to the transient 0 Response can be improved using PI models from the medium length line and breaking into a series of smaller segments 0 Instead of on P1 segment do 10 or 12 0 Method works for balanced uniformly transposed lines o Require EMTP to solve for node voltage between each segment 0 Neglect coupling between phase conductors 0 Only need detail close to transient General Concepts Spring 2008 ECE524 Session 18 Page 421 Transienm in Power Systems ring 2008 Coupled RL Model 0 Use lumped RL model for shorter lines 0 Also use for reduced network equivalents o Coupled RL model to include inductive coupling between phases Coupled RL Model Spring 2008 CE524 Session 18 Page 521 Transienm in Power Systems Spring 2008 Entering Data For Coupled RL Model 0 6 characters for resistance values 0 12 characters for inductances 0 Conductor numbers have 5 rst 51 52 C Coupled RL Section C c Busl h h 4 n r n r n r SlBUSKl BUSMl R11 L11 52BUSK2 BUSMZ R21 L21 R22 L22 53BUSK3 BUSM3 R31 L31 R32 L32 R33 L33 54BUSK4 BUSM4 R41 L41 R42 L42 R43 L43 C The next card is a continuation card for conductor 4 and this would C continue for additional conductors up to 12 although anything above C 6 may be of questionable accuracy when you find the parameters R44 L44 0 Note that you Will normally have nonzero elements for Rii terms and zero elements for RU Where i y j 0 Can use this model for transformer equivalents Coupled RL Model Spring 2008 CE524 Session 18 Page 621 Transienm in Power Systems Spring 2008 Modi cation for Sequence Domain Model Representation o Coupled RL can be modi ed to form a sequence domain equivalent circuit 0 No crosscoupling terms only one R and one L value are needed in each row 0 51 is the zero sequence 52 is positive sequence 53 is negative sequence C Coupled RL Section sequence domain representation C C BusiegtBus27gtBus37gtBus4egtlteeRlt e e e e e e e e L 5 lBUSKl BUSMl R0 LO 5 2BUSK2 BUSMZ R1 L1 5 BBUSKB BUSM3 R2 L2 0 Any numbers in the columns after the L terms Will cause EMTP to treat this as a normal coupled RL branch Coupled RL Model Spring 2008

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