Comparison of an analytical study and EMTP implementation of complicated three-phase schemes for reactor interruption

(1)

Comparison of an analytical study and EMTP implementation

of complicated three-phase schemes for reactor interruption

Citation for published version (APA):

Kalasek, V. K. I. (1988). Comparison of an analytical study and EMTP implementation of complicated three-phase schemes for reactor interruption. (EUT report. E, Fac. of Electrical Engineering; Vol. 88-E-204). Eindhoven University of Technology.

Document status and date: Published: 01/01/1988

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(2)

Comparison of an Analytical

'Study and EMTP

I mplementation of

..

= _

Complicated--Three-phase

Schemes for

Reactor Interruption

by V.K.I. Kalasek

EUT Report 88-E-204 ISBN 90-6144-204-4 November 1988

(3)

ISSN 0167- 9708

Eindhoven University of Technology Research Reports

EINDHOVEN UNIVERSITY OF TECHNOLOGY

Faculty of Electrical Engineering Eindhoven The Netherlands

COMPARISON OF AN ANALYTICAL STUDY AND EMTP IMPLEMENTATION OF COMPLICATED THREE-PHASE SCHEMES FOR REACTOR INTERRUPTION

by

V_K_I. Ka1asek

EUT Report 88-E-204 ISBN 90-6144-204-4

Eindhoven

November 1988

(4)

Kalasek, V. K. I.

Comparison of an analytical study and EMTP implementation of complicated three-phase schemes for reactor interruption /

by V.K.I. Kalasek. - Eindhoven: Eindhoven University of Technology, Faculty of Electrical Engineering. - Fig. - (EUT report,

ISSN 0167-9708, 88-E-204)

Met lit. opg., reg.

ISBN 90-6144-204-4

SISO 661.5 UDC 621.311.1.015.3.001.57 NUGI 832

(5)

- i i i

-ABSTRACT

When small inductive currents are interrupted by High Voltage circuit breakers current chopping will generally occur and will induce overvoltages. This paper describes a comparison between an analytical study and EMTP (= ElectroMagnetic Transient Program) implementation for calculation of such overvoltages in three-phase inductive circuits. Capacitive and/or inductive couplings between

phases are included in schemes with grounded and non-grounded neutrals. If the time steps for numerical integration are small enough the EMTP calculation gives reliable and even more detailed and complete results

than the analytical approach could do. Complete listing of input files

for the EMTP program is given in the appendix.

Kalasek, V.K.I.

Comparison of an analytical study and EMTP implementation of complicated three-phase schemes for reactor interruption. Faculty of Electrical Engineering, Eindhoven University of

Technology, The Netherlands, 1988. EUT Report 88-E-204

Address of the author:

Or. ire V.K.I. Kalasek,

Electrical Energy Systems Group, Faculty of Electrical Engineering, Eindhoven University of Technology,

P.O. Box 513,

5600 MB Eindhoven. The Netherlands

(6)

COIHENTS

1. Introduction

2. Analytical and EMTP-approach

1 1 3 4 5 3. Conclusion References Figures EMTP-input:

Appendix A: Grounded reactors: 9

Non-coupled reactors 9 Capacitively coupled reactors 11

Mutually coupled reactors 13

Capacitively and mutually coupled reactors 15 Appendix B: Ungrounded reactors: 17 Non-coupled reactors 17 Capacitively coupled reactors 19

Mutually coupled reactors 21

Capacitively and mutually coupled reactors,

Case A 23

Capacitively and mutually coupled reactors,

(7)

1

-Comparison of an analytical study and EMTP implementation

of complicated three phase schemes for reactor interruption.

1. Introduction

To find out how reliable the EMTP-computing program [1] is for solving

complicated transient situations the available results of an analytical

study of switching phenomena in three phase inductances (such as reactors)

were compared with the computations with EMTP.

Detailed mathematical expressions for current decays and voltage

transients derived by Van den Heuvel and Papadias can be found in [2] and

[3]. The analytical solution is rather complicated. The current is not

interrupted when passing the natural zero but a

"current chopping"

at a

small current value prior to zero occurs in most cases. After that the

magnetic energy still present in the interrupted inductance is being

trans-ferred into the circuit capacitances causing a single- or multi-frequency

HF-oscillation. This oscillation penetrates into the other phases through

capacitive links and mutual coupl ings. These effects can cause very high

overvoltages in some circuits (depending on circuit parameters).

2. Analytical and EMTP-approach

The whole problem of current interrupting can be divided into four

time intervals:

1. time before the first phase interruption,

2. time interval between the first and the second phase interruption,

3. time interval between the second and the last phase interruption,

4. time after the last phase interruption.

The occurring phenomena are different during each of these intervals.

The frequencies of the occuring transient voltages accross the inductances

are different during the time intervals 2,3 and 4 while the amplitudes and

the shapes of the transients depend strongly on the value of the chopping

current. Boundary conditions have to be set for each phase at the beginning

of each of the intervals mentioned above. This makes the analytical solution

rather complex.

(8)

Four different situations have been studied by Van den Heuvel and

Papadias for

the case of grounded reactors as well as for reactors without

grounded neutral:

1. non-coupled reactors.

2. capacitively coupled reactors,

3. inductively coupled reactors.

4. capacitively and inductively coupled reactors.

The amplitudes of transient overvoltages are strongly dependent on the

voltages and currents in other phases at the moment of the three successive

current choppings. To get seven different starting conditions (different

phase angles between 0 and 360 degrees at the moment of second phase

inter-rupting in steps of 60 degrees) for each case mentioned above. small changes

of circuit parameters have been carried out.

For- the analytical solutions only the network frequency currents have

been used. In reality. however. the transient current oscillations after

first phase interruption also penetrate into the other phases. This results

in a small HF-oscl11ation superimposed on the network-frequency currents (as

shown in the third row of figures representing the current,

expecially in

the phases B and C). The effect seems relatively small in the proximity of

current zero. where chopping occurs. But the phenomenon may have important

consequences when

interrupting ungrounded inductances. as shown in [3]. It

is hardly possible to take the HF current oscillations into account in case

of analytical solution.

Another possible approach to solve the given problem is to use the

EMTP with only time-controlled switches. This way is much more reliable in

case of ungrounded inductances.

Both types of computations have been carried out at Eindhoven

Univer-sity of Technology on the Burroughs B7900 computer of the Computing

C~ntre.

Complete listing of input files for the EMTP implementation is given in the

appendix. The analytical method was used for grounded inductances. the EMfP

(version M35)

for ungrounded ones. Later the EMfP version M39 was used on

the Apollo 3000 to verify the computations of grounded and ungrouned

induc-tances.

The EMTP

takes a different approach when solving the problem and it

takes the superposition of high frequency current components well.

into

account.

Both types of calculations were compared for a grounded circuit to

verify correct operation of the EMfP. Figures at the end of

this article

(9)

give an example of

(analytical solution)

3

-the results. Comparison of -the first row of figures

with the second one (EMIP solution) shows

the same

overall behaviour with only unimportant differences.

The only problem with the EMIP was to choose the time step for

numeri-cal integration small enough so that. at the moment of current chopping. the

current would not change more

than let say 5% of the given value of the

chopping current within two succeeding iterations. Therefore. the time step

-6

At in our study

had

to

be

as small as 0.5 10

sec.

Mutually coupled R-L branch elements (ITYPE

=

51. 52. 53) {for

de-tailed information see the EMIP Rule Book [I]} were used in case of mutually

and

mutually

+

capacitively coupled reactors.

For a complete review of all the sets of figures see [2] and [3].

Figures in Part I [2] were obtained by means of computation according to the

analytical formulas and checked with EMIP. while all the figures in Part II

[3] (for ungrounded reactors) are based on EMIP computation.

3. Conclusion

From this study the following could

be

concluded:

The analytical approach gives a better understanding of the whole

interrupting process and gives a clear explanation of such complicated

shapes of transient voltages. EMIP. however.

gives more complete results

with all details considering all boundary conditions automatically. It is

much easier for the user when studying different situations of current

interruption to use the EMIP. Chance to make a mistake when putting in the

input variables is in that case also much smaller.

When comparing results obtained by using the exact analytical formulas

with the output of EMIP (version M35 as well as version M39) the full

agree-ment in transient frequencies and amplitudes of overvoltages can be

confir-med.

(10)

REFERENCES

[1] ElectroMagnetic Transients Program [EMTP]. Rule Book.

Rev. version June 1984.

Methods Development Branch, Route EDGB, Division of System Engineering, Bonneville Power Administration, P.O. Box 3621, Portland, Oregon 97208, USA.

More information on EMTP can be obtained at: EMTP European Users Group, K.U. Leuven EMTP Center, Kard. Mercierlaan 94, B-3030 Heverlee, Belgium

[2] Heuvel, W.M.C. van den and B.C. Papadias

Interaction between phases in three phase reactor switchin9. Part 1: Grounded reactors.

Electra (Paris), No. 91(1984), p. 11-50. [3] Heuvel, W.M.C. van den and B.C. Papadias

Interaction between phases in three phase reactor switchinq. Part 2: Ungrounded reactors.

(11)

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9 -Appendix A - 1

BEGIN NEW DATA CASE

C W.M.C. VAN DEN IIEUVEL. B.C. PAPADIAS :

C INTERACTION BETWEEN PHASES IN TIlREE-PIIASE REACTOR SWI1UUNG

C PART I : GROUNDED REACTORS

C NON-<X>UPLED REACTORS

C

Electra No 91.

C C C C C U = 29.4 kV / /

138.0

mil C C C C C C

+----:

U :---0/

o---o---LLLLL---+

1 U

=

29.4 kV / / 2

138.0

mil C C C C C 0----: U. : ---0/

o---o---I---LLLLL---o

3 C U = 29.4 kV

0----:

U

:---0/

5 / / 4

138.0

mil

0---0---:---

---LLLLL---o

6 +---0 +----0 +----0 C C C C C :10

nF:

:10

nF:

:10

nF

C C C C C : <XXrep R R 240k R R :240k R R R :240k R R C C

+---0---0---0----0---0----0---+

C C C POWER FREQUENCY

CHANGE PRINTOUT FREQUENCY

6000

10

C 1ST MISC. DATA CARD

C DELTAT TMAX XOPT

.50E-06 .16E-01

0.0

C 2ND MISC. DATA CARD

CDPT

0.0

50.0

C lOUT IPLOT lOOUBL KSSOUf MAXOUf

50

5

1

C BRANQI CARDS: C BUS 1 BUS2 PUNT2 PUNT4 PUNT6

R

L

138.00

/ / /

lPUN MEMSAV lCAT NENERG

o

0 2 0 C IPRSUP OUTPUT

o

(16)

PUNT2 PUNT4 PUNT6 PUNT2 PUNT4 PUNT6 . 240E6 . 240E6 . 240E6

BLANK CARD ENDING BRAOI CARffi

C SWITOI CARffi:

C BUS 1 BUS2 TCLOSE TOPEN

PUNTI PUNT2 -. l000E-OI .1000E-02

C BUSI BUS2 TCLOSE TOPEN

PUNT3 PUNT4 -.I000E-ol .1000E-02

.01000 .01000 .01000 IOIOP . 7670E+Ol IOIOP . 7670E+Ol IOIOP PUNT5 PUNT6 -.I000E-Ol .1000E-02 .7670E+Ol BLANK CARD ENDING SWITOI CARffi

C SOURCE CARffi:

C TYPE BUS V /C AMPL FREQ TNUL

14PUNTI 1-.2939E+05 .5000E+02 0.0

C TYPE BUS V /C AMPL

FREQ

TNUL

14PUNT3 1-.2939E+05 .5000E+02 .1200E+03

14PUNT5 1-.2939E+05 .5000E+02-.1200E+03

BLANK CARD ENDING SOURCE CARffi

C OIITPUT REQUFSf CARffi:

PUNT2 PUNT4 PUNT6

BLANK CARD ENDING OIITPUT REQUEST CARffi C PUYITER REQUEST CARffi:

C METRIC SCALE: SCALE CALCX>MP PLOT C FIG. 1 C HEADING 2NON-<XlUPLED REACTORS 114

C

HS 1.270025

Al

Appendix A - 2

TSTART -.I000E+02 TSTART -.I000E+02 TSTART -.I000E+02

VOLTAGE

o

OUTPUT 1 OUTPUT 1 OUTPUT 1 TSTOP .1000E+02 TSTOP .1000E+02 TSTOP .1000E+02

HMAX VMIN VMAX

. 1200000000E+Ol

PUNT2 HMIN

0.0 . 1200000000E+02-. SOOOOOOOOOE+05 .8000000000E+05

C FIG. 2 C HEADING 2NON-<XlUPLED REACTORS 114 C lIS . 1200000000E+Ol C FIG. 3 C HEADING 2NON-<XlUPLED REACTORS PUNT4 HMIN 0.0

VOLTAGE

HMAX VMIN VMAX

. 1200000000E+02-. SOOOOOOOOOE+05 . SOOOO:JOOOOE+05

114 PUNT6

VOLTAGE

C HS HMIN HMAX VMIN VMAX

. 1200000000E+Ol 0.0 .1200000000E+02-.SOOOOOOOOOE+05 .SOOOO:JOOOOE+05

BLANK CARD TERMINATING PWITER REQUESTS

BEGIN NEW

DATA

CASE

(17)

11

-Appendix A - 3

BEGIN NEW DATA CASE

C W.M.C. VAN DEN HEUVEL, B.C. PAPADIAS :

C INTERACTION BETWEEN PHASES IN THREE-PHASE REACTOR SWllUIING

C CAPACITIVELY <XlUPLED REACTORS

C

Electra No 91

p.

35

fig.

4.14 case A

C C C C C C C

7

+---0---0----0---0----+ 267k R : 267k R : 267k R R R R C C C C C C C C C U = 29.4 kV I I R :9 nF R :9 nF R : CCCCCl CCCCCl 9nF CCCCCl C C C C C C C C C C C C C

+----:

U :---0/ 1 U = 29.4 kV I I

0----:

U

1---0/

3 U

=

29.4 kV I I

0----:

U

:---0/

5

+---0 +----0 +----0 138.00 mH

o---'---:---o---LLLLL---+

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---o---'---LLLLL---o

4 138.00 mH 0---0---

---o---LLLLL---o

6

+---0 +----0 +----0 :10

nF:

:10

nF:

:10 nF : CCCCCp CCCCCp CCCCCp R R R C C C 240k R : 240k R : 240k R R R R C C C

+---0---0---0----0---0----0---+

C C POWER FREQUENCY

mANGE PRINTOUf FREQUENCY

6000 10

I I I

50.0

C DELTAT TMAX XOPT

.50E-06 ·.16E-01 0.0

OOPT 0.0

C lOOf IPLOf lOOUBL KSSOUT MAXOur

50 5 1 1 1

C

BRANCH CARDS:

C BUS1 BUS2 PUNT2 PUNT4 PUNT6 R L 138.00 138.00 138.00

lPUN MEMSAV

lCAT NENERG

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0

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IPRSUP

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(18)

PUNT2 PUNT7 PUNT4 PUNT7 PUNT6 PUNT7 PUNT2 PUNT7 PUNT4 PUNT7 PUNT6 PUNTI PUNT2 PUNT4 PUNT6 PUNT2 PUNT4 PUNT6 .261£6 .261£6 .261£6 .240£6 . 240E6 . 240E6

BLANK CARD ENDING BRAClI CARDS

C SWITaI CARDS:

C BUS I BUS2 TCLOSE TOPEN

PUNTI PUNT2 -.loooE-OI .loooE-02

PUNT3 PUNT4 -.loooE-OI .loooE-02

C BUS I BUS2 TCLOSE TOPEN

PUNT5 PUNT6 -.loooE-01 .loooE-02 BLANK CARD ENDING SWITaI CARDS

C SOURCE CARDS: .00900 .00900 .00900 .01000 .01000 .01000 IaIOP .1740E+02 IaIOP .1740E+02 IaIOP . 1740E+02

C TIPE BUS V /C AMPL FREQ TNUL

14PUNTI 1-.2939E+05 .5OOOE+02 0.0

14PUNT3 1-.2939E+05 .5OOOE+02 .1200E+03

14PUNT5 1-.2939E+05 .5OOOE+02-.1200E+03

BLANK CARD ENDING SOURCE CARDS

C OUTPUT REQUEST CARDS:

PUNT2 PUNT4 PUNT6

BLANK CARD ENDING OUTPUT REQUEST CARDS

C PLOTI'ER REQUEST CARDS:

C METRIC SCALE: SCALE CALCDMP PLOT C FIG. I C HEADING 1.270025

2CAPACITIVELY CDUPLED REACTORS

114 PUNT2 C HS HMIN Al Al Al

Appendix A - 4

TSTART -.loooE+02 TSTART -.IOOOE+02 TSTART -.loooE+02 VOLTAGE

o

OtrrPUT 1 OUTPUT I OUTPUT 1 TSTOP .. loooE+02 TSTOP .loooE+02 TSTOP .loooE+02

HMAX YMIN VMAX

.1200000000E+OI 0.0 • 1200000000E+02-. 8OOOOOOOOOE+05 .8000000000E+05

C FIG. 2

C HEADING

114 PUNT4 VOLTAGE

C HS HMIN HMAX YMIN VMAX

.1200000000E+OI 0.0 .1200000000E+02-.8000000000E+05 .80000)ooooE+05

C FIG. 3

C HEADING

114 PUNT6 VOLTAGE

C HS HMIN HMAX YMIN VMAX

.1200000000E+OI 0.0 .1200000000E+02-.8000000000E+05 .80000)ooooE+05

BLANK CARD TERMINATING PLOTI'ER REQUESTS BEGIN NEW DATA CASE

(19)

13

-Appendix A - 5

BEGIN NEW DATA CASE

C W.M.C. VAN DEN HEUVEL, B.C. PAPADIAS :

C INTERACTION BETWEEN PHASES IN TIIREE-PHASE REACTOR SWI1UUNG

C IIllTIJAL Y CXJUPLED REACTORS

C Electra No 91 p. 48 fig 4.21 case A

C C C C C C U

=

29.4 kV I C I 105.80 mil

C

+----:

U

:---0/

o---o---LLLLL---+

C 1 2 C C M M

C

U

=

29.4

kV I C I 105.80 mil

C

0----: U :---0/

o---o---:----'---LLLLL---o

C

3

4

C C M

C

U

=

29.4

kV I C I 105.80 mil

C

0----1 U

:---0/

o---o---:---,---LLLLL---o

C

5

6

+---0 +----0 +----0 C

:to

nF:

:10

nF:

:10

nF

C :

axxx;p

<XX:rep

C R R R C 240k R :240k R :240k R C R R R C C

+---0---0---0----0---0----0---+

C C

C

I I I C POWER FREQUENCY 50.0

aIANGE PRINTOOf FREQUENCY

6000

10

C DELTAT TMAX XOPT <XlPT

.50E-06 .16E-01 0.0 0.0

C lOUT IPWf lDOUBL KSSOUr MAXOUf lPUN MEMSAV lCAT NENERG IPRSUP

50 5 1 1 1 0 0 2 0

C BRANOI CARDS:

C BUS1 BUS2 R L C OUTPUT

51PUNT2 105.8

52PUNT4 -32.2 105.8

(20)

PUNT2 PUNT4 PUNT6 PUNT2 PUNT4 PUNT6 . 24OE6 . 24OE6 . 24OE6

BLANK CARD ENDING BRACH CARDS C SWITaI CARDS:

C BUSI BUS2 TCLOSE TOPEN PUNTI PUNT2 -.I000E-Ol .1000E-02

C BUSI BUS2 TCLOSE TOPEN PUNT3 PUNT4 -.I000E-Ol .1000E-02

.01000 .01000 .01000 ICHOP . 154OE+02 ICHOP . 154OE+02 ICHOP PUNT5 PUNT6 -.I000E-01 .1000E-02 .154OE+02 BLANK CARD ENDING SWITCH CARDS

C SOURCE CARDS:

C TYPE BUS V /C AMPL FREQ TNUL 14PUNTI 1-.2939E+05 .5000E+02 0.0 C TYPE BUS V /C AMPL FREQ TNUL

14PUNT3 1-.2939E+05 .5000E+02 .1200E+03 C TYPE BUS V /C AMPL FREQ TNUL 14PUNT5 1-.2939E+05 .5000E+02-.12ooE+03 BLANK CARD ENDING SOURCE CARDS

C OUTPUT REQUEST CARDS:

PUNT2 PUNT4 PUNT6

BLANK CARD ENDING OUTPUT REQUEST CARDS C PWITER REQUEST CARDS:

C

METRIC SCALE:

SCALE

CALCOMP PLOT C FIG. 1 C HEADING 1.270025

2MlJfUALY COUPLED REACI'ORS

114 PUNT2 C HS HMIN Al

At

Al

Appendix A - 6

TSTART -.I000E+02 TSTART -.I000E+02 TSTART -.I000E+02 VOLTAGE

o

OUTPUT 1 OUTPUT 1 OUTPUT 1 TSTOP .1.000E+02 TSTOP .1000E+02 TSTOP .1000E+02

HMAX VMIN VMAX

. 1200000000E+Ol 0.0 .1200000000E+02-.SOOOOOOOOOE+05 .8oooo00000E+05

C FIG. 2

C HEADING

2MlJfUALY roUPLED REACI'ORS

114 PUNT4

C HS HMIN HMAX

VOLTAGE

VMIN VMAX

.1200000000E+Ol 0.0 . 1200000000E+02-. SOOOOOOOOOE+05 .8oooo000ooE+05

C FIG. 3

C HEADING

2MlJfUAL Y COUPLED REACI'ORS

114 PUNT6 VOLTAGE

. 1200000000E+Ol 0.0 .1200000000E+02-.SOOOOOOOOOE+05 .8oooo000ooE+05 BLANK CARD TERMINATING PLOTTER REQUFSfS

BEGIN NEW DATA CASE

(21)

15

-Appendix A - 7

BEGIN NEW DATA CASE

C W.M.C.

VAN

DEN

IIEUVEL.

B.C. PAPADIAS :

C INTERACTION BETWEEN PHASES IN THREE-PHASE REACTOR SWI1UUNG

C CAPACITIVELY AND MUTUALLY a>UPLED REACTORS

C

Electra No 91

p.

47

fig.

4.20 case A

C C C C C C C C C U = 29.4 kV 7 +---o--~--o----o---o----+ 267k R : 267k R : 267k R / / R R R R :9 nF R :9 nF R

: axxx::1

axxx::1

9 nF

+---0 +----0 +----0 105.80 mH C C C C C C

+----:

U :---0/

o---l---:---o---LLLLL---+

C C C C C C 1 U = 29.4 kV / /

0----:

U

:---0/

3 U = 29.4 kV / / 2 M M 105.80 mH

,

o---I---o---:----'---LLLLL---o

4 M 105.80 mH C C C C C C

0----:

U

:---0/

0---0---1---

---LLLLL---o 8

5

6 +---0 +----0 +----0 C C C C :10

nF:

: axxx::p

R

240k R R R :240k

R

:10

nF:

R :240k R R :10 nF C C C

+---0---0---0----0---0----0---+

C C POWER FREQUENCY

aIANGE PRINTOUf FREQUENCY

6000 10

C DELTAT

TMAX

XOPT

.5OE-06 .16E-Q1 0.0

aJPT 0.0

50.0

C lOUT IPLOT lDOUBL KSSOUT MAXOUT

50 1 1 1 1

C

BRANOI CAIIDS:

C BUS1 BUS2 PUNT2 PUNTS PUNT4 PUNTS PUNT6 PUNTS

R

L

105.80 105.80 105.80 / / /

lPUN MEMSAV

lCAT NENERG

o

0 2 0 C IPRSUP OUTPUT

o

(22)

Appendix A - 8

PUNT2 PUNT7 PUNT4 PUNT7 PUNT6 PUNT7 PUNT2 PUNT7 PUNT4 PUNT7 PUNT6 PUNT7 PUNT2 PUNT4 PUNT6 PUNT2 PUNT4 PUNT6 .267E6 .261£6 .261£6 .240E6 .240E6 . 240E6 .00900 .00900 .00900 .01000 .01000 .01000 PUNTS -32.09

BLANK CARD ENDING BRACH CARffi

C SWITCH CARffi:

PUNTI PUNT2 -. l000E-OI .1000E-Q2

PUNT3 PUNT4 -.I000E-Ol .1000E-02

PUNT5 PUNT6 -.I000E-Ol .1000E-02 BLANK CARD ENDING SWITCH CARffi

C SOURCE CARffi: ICIIOP . 1770E+02 IaIOP . 1770E+02 ICHOP . 1770E+02

14PUNTI 1-.2939E+05 .5000E+02 0.0

14PUNT3 1-.2939E+05 .5000E+02 .12OOE+03

14PUNT5 1-.2939E+05 .5000E+02-.12OOE+03

C OUfPlIT REQUEST CARffi:

PUNT2 PUNT4 PUNT6

BLANK CARD ENDING OUfPlIT

REQUFST

CARffi

C PWITER REQUEST CARffi:

C METRIC

SCALE:

SCALE

CAL<.XlMP

PLOT

C

FIG. 1 C HEADING 1.270025

2MlITUALY AND CAPACITIVELY COUPLED REACfORS

Al Al Al TSTART -.I000E+02 TSTART -.I000E+02 TSTART -. l000E+02 114 PUNT2 VOLTAGE

C lIS HMIN HMAX VMIN

o

OUTPUT 1 OUTPlIT 1 OUTPlIT 1 TSTOP .1000E+02 TSTOP . l000E+02 TSTOP .1000E+02

. 1200000000E+Ol 0.0 .1200000000E+02-.8000000000E+05 .8000000000E+05

C FIG. 2

C HEADING

114 PUNT4 VOLTAGE

C lIS HMIN HMAX VMIN VMAX

. 12()()()()oo()()E+Ol 0.0 .1200000000E+02-.8000000000E+05 .8000000000E+05

C FIG. 3

C HEADING

114 PUNT6 VOLTAGE

. 1200000000E+Ol 0.0 .1200000000E+02-.8000000000E+05 .8()()()()OO()()E+05

BLANK CARD TERMINATING PWITER REQUESTS BEGIN NEW DATA CASE

(23)

17

-Appendix B-1

BEGIN NEW DATA CASE

C W.M.C. VAN DEN HEUVEL. B.C. PAPADIAS :

C INTERACTION BETWEEN PHASES IN TIIREE-PHASE REACTOR SWITaIING

C PART II : UNGROUNDED REACTORS

C

Q

= 30 Mvar U = 36 kV IC = 7.67 A

C NON (l)UPLED REACTORS

C Electra No 112

p.

76

fig.

6.1 case A

C C C C C C C C C C C C C C C C C C C C C C C C C C C C C U = 29.4 kV / / +----~ U ;---0/ 1 U

=

29.4 kV / /

0----:

U

:---0/

3 U = 29.4 kV / /

0----:

U

:---0/

5

138.0 mIl

o---o---o----LLLLL---+

2

533 kohm

+----RRRRRp----o

138.0 mIl

o---'---o---o----LLLLL---o

4

533 kohm

+----RRRRRp----o

138.0 mIl

o---.---I---o----LLLLL---o7

6

533 kohm

o----RRRRR---o

3.00 nF: 3.00

nF:

3.00 nF: a:xxx::1 a:xxx::1 a:xxx::1

9.00

nF :

a:xxx::cn

C C C

+---0---0---0---+

C C POWER FREQUENCY

mANGE PRINTOlTf

FREQUENCY

6000 10

: 9

N/

50.0

C DELTAT TMAX XOPf

.50E-06 .16E-01 0.0

(l)Pf 0.0

C

lOUT

IPLOT

IDOUBL KSSOUT MAXOUT

50 5 1 1 1 C BRANClI CARDS: C BUS 1 BUS2 PUNT2 PUNT7 PUNT4 PUNT7 PUNT6 PUNT7 R L 138.0 138.0 138.0

IPUN MEMSAV ICAT NENERG

o

0 2 0 C IPRSUP

OUTPUT

o

(24)

PUNT2 PUNT7 PUNT4 PUNT7 PUNT6 PUNT7 PUNT2 PUNT4 PUNT6 PUNT7 .533E6 .533E6 .533E6

BLANK CARD ENDING BRAm CARL\S

C SWITm CARL\S:

C BUS 1 BUS2 TCLOOE TOPEN

PUNTI PUNT2 -.I000E-Ol .1000E-02

C BUSI BUS2 TCLOOE TOPEN

PUNT3 PUNT4 -.I000E-ol .1000E-02

C BUSI BUS2 TCLOOE TOPEN

PUNT5

PUNT6

-.I000E-Ol .1000E-02 BLANK CARD ENDING SWITm CARDS

C SOURCE CARL\S: .00300 .00300 .00300 .00900 IaIOP . 7670E+Ol HlIOP . 7670E+Ol IClIOP . 7670E+Ol

14PUNTI 1-.2939E+05 .5000E+02 .1200E+03

14PUNT3 1- .2939E+05 . 5OOOE+02- . 1200E+03

14PUNT5 1-.2939E+05 .5000E+02 0.0

BLANK CARD ENDING SOURCE CARL\S

C OUIPlTf REQUFSI' CARL\S: PUNT2 PUNT4 PUNT6

BLANK CARD ENDING OUIPlTf REQUFSI' CARL\S

C PLOTIER REQUESf CARL\S:

C

METRIC SCALE:

SCALE

CALCXlMP PLOf

C FIG. 1

C

HEADING

2NON COUPLED REAcroRS 114

C

lIS 1.270025 Al Al Al AppendiK B-2 TSfART -.I000E+02 TSfART -.I000E+02 TSfART -.I000E+02 VOLTAGE

o

OlITPlTf 1 OUIPlTf 1 OlITPlTf 1 TSTOP .1000E+02 TSTOP .1000E+02 TSTOP .1000E+02

HMAX VMIN VMAX

. 1200000000E+Ol PUNT2 HMIN 0.0 .1200000000E+02-.7000000000E+05 .700000ooooE+05 C FIG. 2 C HEADING

2NON COUPLED REAcroRS 114 C lIS PUNT4 HMIN HMAX VOLTAGE VMIN

. 1200000000E+Ol 0.0 . 1200000000E+02-. 7000000000E+05 .700000ooooE+05

C FIG. 3

C HEADING

2NON COUPLED REAcroRS

114

PUNT6

VOLTAGE

. 1200000000E+Ol 0.0 . 1200000000E+02-. 7000000000E+05 .700000ooooE+05

BLANK CARD TERMINATING PLOTIER REQUESTS BEGIN NEW DATA CASE

(25)

19

-Appendix B-3 BEGIN NEW DATA CASE

W.M.C. VAN DEN IIEUVEL. B.C. PAPADIAS :

C C C

INTERACfION IsElWEEN PHASES IN TIIRE£-PHASE REACTOR SWI1UIING PART II : UNGROUNDED REACTORS

c C C C C C C C C C U

=

29.4 kV Q

=

30 Mvar U

=

36 kV IC

=

17.7 A CAPACITIVELY <XlUPLED REACTORS Electra No 112 p. 77 fig. 6.2 case A

/ / 138.0 mil C C C C C

+----1 U 1---0/

1

o--o----o---o---o---LLLLL---+

C U = 29.4 kV / / 2 3.00 nF: <X:XXCI 160 kohm

+----RRRRRp----o

138.0 mil C C C C C

0----:

U

1---0/

3

o--:----I----o----o---o---LLLLL---o

C C C U

=

29.4 kV / / 4 :3.00lnF <X:XXCI :3.00:nF <X:XXCI 160 kohm

+----RRRRRp----o

138.0 mil

C

0----1 U 1---0/

C C 5

o--I----o----I----o----o---o----LLLLL---o7

6 C C C C C 10.00

nF:

10.00

nF:

10.00

nF:

<X:XXCp

axx:cp

160 kohm

o----RRRRRp----o

9.00

nF :

<XXXnl C C

+---0---0---0---+

C C C POWER FREQUENCY

aJANGE PRINTOlIT FREQUENCY

6000 10

C DELTAT TMAX XOPT

.50E-06 .16E-01 0.0

COPT 0.0

:9

///

50.0

C

lour

IPLOT IDOUBL

KSSOUf

MAXour

I PUN MEMSAV ICAT NENERG IPRSUP

50 5 1 1 C BRAN<lI CAlIDS: C BUS 1 BUS2 PUNT2 PUNT7 PUNT4 PUNT7 PUNT6 PUNT7 R 1

L

138.0 138.0 138.0 0

a

2

a

C OUTPUT 0

a

0

(26)

PIlNT2 PUNT7 PUNT4 PUNT7 PUNT6 PUNT7 PIlNT2 PUNT4 PUNT4 PUNT6 PUNT2 PUNT6 PUNT2 PUNT4 PUNT6 PUNT7 . 160E6 • 160E6 • 160E6

C SWITIlI CARDS:

PUNTI PIlNT2 -.IOOOE-Ol .IOOOE-02

PUNT3 PUNT4 -.IOOOE-Ql .IOOOE-Q2

PUNT5 PUNT6 -.loooE-Ql .loooE-Q2 BLANK CARD ENDING SWITIlI CARDS

C SOURCE CARDS: .00300 .00300 .00300 .01000 .01000 .01000 .00900 IClIOP . 1770E+02 IClIOP . 1770E+02 IClIOP . 1770E+02

14PUNTI 1-.2939E+05 .5000E+02 .1200E+03

14PUNT3 1-.2939E+05 .5000E+02-.1200E+03

C TYPE BUS V /C AMPL

FREQ

TNUL

14PUNT5 1-.2939E+05 .5000E+02 0.0

C ourPlIf REQUEST CARDS:

PIlNT2 PUNT4 PUNT6

BLANK CARD ENDING ourPlIf REQUEST CARDS

C PLOTIER REQUEST CARDS:

C METRIC SCALE:

SCALE

CALmMP PWf C FIG. 1 C HEADING 1.270025

2CAPACITIVELY aJUPLED REAcroRS

114 PUNT2 C HS HMIN Al Al Al

Appendix B - 4

TSTART -.IOOOE+02 TSTART -.loooE+02 TSTART

o

OUTPUT 1 OUTPlIf 1 OUTPlIf 1 TSTOP .IOOOE+02 TSTOP .loooE+02 TSTOP -.loooE+02 .IOOOE+02 VOLTAGE

HMAX VMIN VMAX

. 1200000000E+Ol 0.0 .1200000000E+02-.1000000000E+06 .1000000000E+06

C FIG. 2

C HEADING

2CAPACITlVELY aJUPLED REAcroRS

114 PUNT4 VOLTAGE

. 1200000000E+Ol 0.0 .1200000000E+02-.1ooo000000E+06 .IOOOOJOOOOE+06

C FIG. 3

C HEADING

2CAPACITIVELY <XlUPLED REAcroRS

114 PUNT6 VOLTAGE

. 1200000000E+Ol 0.0 .1200000000E+02-.1000000000E+06 .10000JOOOOE+06

BLANK CARD TERMINATING PLOTIER REQUESTS BEGIN NEW DATA CASE

(27)

21

-Appendix B - 5

BEGIN NEW DATA CASE

W.M.C.

VAN

DEN

HEUVEL,

B.C.PAPADIAS : C

C C

INfERACfION BETWEEN PHASES IN TIIREE-PIIASE REACTOR SWITOIING PART II : UNGROUNDED REACTORS

C C C C C C C C C C C C U

=

29.4 kV Q

=

30 Mvar U

=

36 kV IC

=

7.67 A MUTUALY COUPLED REACTORS

Electra No 112 p. 78 fig. 6.3 case A

/ / 105.8 mH

C

+----:

U

:---0/

o--o---o----LLLLL---+

C

1

C C C C U = 29.4 kV / / 2

533 kohm

M

+----RRRRRp----o

M 105.8 mH

C

0----:

U

:---0/

o--'---o---I---o----LLLLL---o

C

3

C C C

C

U

=

29.4 kV /

/

4

M

533 kohm

+----RRRRRp----o

105.8 mH

C

0----:

U

:---0/

o--.---I---o---o----LLLLL---o7

C

5

6 C C C C C C 3.00

nF:

3.00

nF:

3.00

nF:

axxx:l

C

533 kohm

o----RRRRRp----o

9.00 nF :

ann,

C C C

+---0---0---0---+

C C POWER FREQUENCY

CHANGE PRINTOUT FREQUENCY

6000 10

C 1ST MISC. DATA CARD

C DELTAT

TMAX

XOPT

.5OE-06 .16E-01

0.0 OOPT

0.0 C

lour

IPLOI'

IOOUBL

KSSOUf

50

5

1

C BRANOI CARDS: C BUS1 BUS2 51 PUNT2 PUNT7 52PUNT4 PUNT7 53PUNT6 PUNT7

R

:9

/ / /

50.0 MAXour

1 L C 105.8 -32.2 -32.2

IPUN

MEMSAV

ICAT NENERG

IPRSUP

0 0 2 0

OUTPUT 105.8

(28)

Appendix B - 6

PUNT2 PUNT7 PUNT4 PUNT7 PUNT6 PUNT7 PUNT2 PUNT4 PUNT6 PUNT7 .533E6 .533E6 .533E6

C SWIlUI CARDS:

C BUS1 BUS2

TCLOSE

IDPEN

PUNT1 PUNT2 -.1000E-01 .. 1000E-02

C BUS1 BUS2

TCLOSE

IDPEN

PUNT3 PUNT4 -.1000E-01 .1000E-02

C BUS1 BUS2 TCLOSE

IDPEN

PUNT5 PUNT6 -.1000E-Ol .1000E-02 BLANK CARD ENDING SWIlUI CARDS

C SOURCE CARDS: .00300 .00300 .00300 .00900 IClIOP . 7670E+Ol IClIOP . 7670E+Ol IClIOP . 7670E+Ol

14PUNTI 1-.2939E+05 .5000E+02 .1200E+03

C TYPE BUS V/C AMPL FREQ TNUL

14PUNT3 1-.2939E+05 .5000E+02-.1200E+03

14PUNT5 1-.2939E+05 .5000E+02 0.0

C OIITPUf REQUESf CARDS:

PUNT2 PUNT4 PUNT6

BLANK CARD ENDING OIITPUf REQUESf CARDS

C PLOTIER REQUESf CARDS:

C METRIC SCALE: SCALE

CALa>MP

PLOT C FIG. 1 C HEADING 1.270025

2MUTUALY a>UPLED REACTORS

114 PUNT2 C HS HMIN Al Al Al TSTART -.I000E+02 TSTART -.I000E+02 TSTART -.I000E+02 VOLTAGE

o

OUTPUT 1 OUTPUT 1 OUTPUT 1 TSTOP .1000E+02 TSTOP .1000E+02 TSTOP .1000E+02

HMAX VMIN VMAX

. 1200000000E+01 0.0 .1200000000E+02-.7000000000E+05 .7000000000E+05

C FIG. 2

C HEADING

114 PUNT4 VOLTAGE

. 1200000000E+Ol 0.0 . 1200000000E+02-. 7000000000E+05 .7000000000E+05

C FIG. 3

C HEADING

114 PUNT6 VOLTAGE

. 1200000000E+Ol 0.0 . 1200000000E+02-. 7000000000E+05 .7000000000E+05

BLANK CARD TERMINATING PLOTIER REQUESfS BEGIN NEW DATA CASE

(29)

-23-Appendix B - 7

BEGIN NEW DATA CASE

W.M.C. VAN DEN

HEUVEL,

B.C.PAPADIAS : C

C C

INTERACTION BETWEEN PHASES IN THREE-PHASE REACTOR SWITOIING PART

II : UNGROUNDED

REACTORS

C C C C C C C C C C C C

Q

=

30

Mvar U

=

36 kV

IC

=

17.7 A

CAPACITlVELY AND MUTUALY COUPLED REACTORS

Electra No 112 p. 79 fig. 6.4 case A

U = 29.4

kV

/ /

105.8

mH

C

+----:

U

:---0/ C

o--o----o---o---o----LLLLL---+

C C C C U = 29.4

kV

1 / / 2 3.00

nF:

axxx;l

M M

160

kohm

+----RRRRRp----o

105.8

mH

C

0----:

U

:---0/

C

o--I----:----o----o---:---o----LLLLL---o

3 C C U

=

29.4

kV

/

/ 4 :3.00:nF

axxx;l

:3.00lnF

axxx;l

M

160

kohm

+----RRRRRp----o

105.8

mH C C C C C

0----:

U

:---0/

5

0-- ----0----:----0----0---0----LLLLL---07

C C C C C 6 10.00

nF:

10.00

nF:

10.00

nF:

axxx;p

160

kohm

+----RRRRRp----o

9.00 nF :

a:xrcn

C C C

+---0---0---0---+

C

C POWER FREQUENCY

mANGE PRINTOlIT FREQUENCY

6000

10

C DELTAT TMAX XOPT

.50E-06 .16E-01 0.0

CX>PT

0.0

C lour IPWf lDOUBL KSSOUT

50 5 1 1 C BRANOI CARDS: C BUS1 BUS2

51 PUNT2 PUNT7

52PUNT4 PUNT7

53PUNT6 PUNT7

R

:9

/ / /

50.0

MAXour

1

L C

105.8 -32.2

-32.2

lPUN MEMSAV lCAT NENERG IPRSUP

0 0

2

0

OUTPUT

105.8

(30)

Appendix B - 8

PUNT2 PllNT7 PUNT4 PllNT7 PUNT6 PllNT7 PUNT2 PUNT4 PUNT4 PUNT6 PUNT2 PUNT6 PUNT2 PUNT4 PUNT6 PllNT7 .160E6 • 160E6 . 160E6

BLANK CARD ENDING BRACll CARDS

C SWITaI CARDS:

C BUS1 BUS2 TCLOSE TOPEN

PUNT1 PUNT2 -.1000E-01 .1000E-02

PUNT3 PUNT4 -.1000E-01 .1000E-02

PUNT5 PUNT6 -.1000E-01 .1000E-02 BLANK CARD ENDING SWITaI CARDS

C SOURCE CARDS: .00300 .00300 .00300 .01000 .01000 .01000 .00900 ICllOP . 1770E+02 ICllOP . 1770E+02 ICllOP • 1770E+02

C lYPE BUS V /C AMPL FREQ TNUL

14PUNT1 1-.2939E+05 .5000E+02 .12OOE+03

14PUNT3 1-.2939E+05 .5000E+02-.12OOE+03

14PUNT5 1-.2939E+05 .5000E+02 0.0

C OIITPUT

REQUEST

CARDS:

PUNT2 PUNT4 PUNT6

BLANK CARD ENDING OUTPUT

REQUEST

CARDS

C PLOITER REQUEST CARDS:

C METRIC

SCALE:

SCALE

CAUXJMP PLOT C FIG. 1 C HEADING 1.270025

2CAPACITIVELY AND MUTUALY COUPLED REACTORS

Al Al Al

TSTART

-.1000E+02

TSTART

-.1000E+02

TSTART

-.1000E+02 114 PUNT2 VOLTAGE

C HS HMIN HMAX VMIN

o

OUTPUT 1 OUTPUT 1 OUTPUT 1

TSTOP

.1000E+02

TSTOP

.1000E+02

TSTOP

.1000E+02 VMAX

. 1200000000E+01 0.0 .1200000000E+02-.1000000000E+06 .1000000000E+06

C

FIG.

2

C HEADING

114 PUNT4 VOLTAGE

C

HS HMIN HMAX VMIN VMAX

• 1200000000E+01 0.0 . 1200000000E+02-. 1000000000E+06 .1(XXXXXlOOOE+06

C FIG. 3

C HEADING

114 PUNT6 VOLTAGE

• 1200000000E+01 0.0 .1200000000E+02-.1000000000E+06 .1000000000E+06

BLANK CARD TERMINATING PLOTTER REQUESTS BEGIN NEW DATA CASE

(31)

-25-Appendix B - 9

BEGIN NEW DATA CASE

W.M.C. VAN DEN HEUVEL. B.C. PAPADIAS : C

C

INTERACTION BETWEEN PHASES IN TIJREE-PHASE REACTOR SWIT<lIING PART II : UNGROUNDED REACTORS

C C C

Q

=

30 Mvar

U

=

36

kV IC

=

17.9 A CAPACITIVELY AND MlITUALY CXlUPLED REACTORS

Electra

No 112 p.79

fig. 6.4 case

B C C C C C C C

U

=

29.4

kV / / 105.8 mH C C C C C

+----1 U

:---0/ 1 o--o----o---o---o----LLLLL---+ C U =

29.4

kV / / 2

3.08 nF:

o:nxl

M M 156 kohm +----RRRRRp----o 105.8 mH C C C C C C

0----:

U

1---0/

3

o--I----:----o----o---I---o----LLLLL---o

C

C U

=

29.4 kV

/

4

13.08lnF

o:nxl

:3.08:nF

o:nxl

M 156 kohm +----RRRRRp----o 105.8 mH

C

0----1 U

:---0/ C C C 5

o--I----o----:----o----o---o----LLLLL---o7

6 C C C C 10.27

nF:

10.27

nF:

10.27

nF:

o:xxx;p

oxx:cp

156 kohm +----RRRRRp----o 9.00 nF :

axxx::n

C C C

+---0---0---0---+

C C POWER FREQUENCY

aIANGE

PRINTOUf

FREQUENCY

6000 10

C DELTAT TMAX XOPT

.50E-<J6 .16E-ol 0.0

COPT 0.0

C lour IPWf lOOUBL KSSOlIT

50 5 1 1 C BRAN<lI (;ARM: C BUSI BUS2 51 PUNT2 PUNI7

52PUNT4

PUNI7

53PUNT6

PUNI7 R

:9

///

50.0

MAXOlIT lPUN MEMSAV lCAT NENERG IPRSUP

1 0 0 2 0

L C OlITPlIT

105.8

-32.22 105.8

(32)

Appendix B - 10 PUNT2 PUN17 PUNT4 PUN17 PUNT6 PUN17 PUNT2 PUNT4 PUNT4 PUNT6 PUNT2 PUNT6 PUNT2 PUNT4 PUNT6 PUN17 . 156E6 • 156E6 • 156E6

BLANK CARD ENDING BRAm CARffi

C SWITClI CARffi:

PUNT1 PUNT2

-.1000E-D1

.1000E-02

C

BUS1 BUS2 TCUDSE TOPEN

PUNT3 PUNT4

-.1000E-D1

.1000E-02

PUNT5 PUNT6

-.1000E-D1

.1000E-02

BLANK CARD ENDING SWITm CARffi

C SOURCE CARffi: .00308 .00308 .00308 .01027 .01027 .01027 .00900 IClIOP . 1790E+02 IClIOP .1790E+02 ImOp .1790E+02

C lYPE BUS V /C AJoIPL FREQ TNUL

14PUNT1 1-.2939E+<l5 .5000E+02 .12ooE+03

C lYPE BUS V /C AJoIPL

FREQ

TNUL

14PUNT3 1-.2939E+<l5 .5000E+02-.12ooE+03

C 1YPE BUS V /C AJoIPL

FREQ

TNUL

14PUNT5 1-.2939E+<l5 .5000E+02 0.0

C OUTPUT REQUEST CARffi:

PUNT2 PUNT4 PUNT6

BLANK CARD ENDING OUTPUT REQUEST CARffi

C PUYITER REQUEST CARffi:

C

METRIC SCALE:

SCALE

CAL<DMP PLOf C FIG. 1 C HEADING 1.270025

2CAPACITIVELY AND MUTUALY mUPLED REACTORS

Al

TSTART -.IOOOE+02 TSTART -.IOOOE+02 TSTART -.IOOOE+02 114 PUNT2 VOLTAGE

o

OUTPUT I OUTPUT I OUTPUT 1 TSTOP .IOOOE+02 TSTOP .IOOOE+02 TSTOP .IOOOE+02

. 1200000000E+01 0.0 .1200000000E+02-.1000000000E+06 .1oo000oo00E+06

C

FIG.

2

C HEADING

114 PUNT4 VOLTAGE

• 1200000000E+01 0.0 .1200000000E+02-.1000000000E+06 .1OO0000000E+06

C FIG. 3

C HEADING

114 PUNT6 VOLTAGE

. 1200000000E+01 0.0 .1200000000E+02-.1000000000E+06 .1oooo00000E+06

BLANK CARD TERMINATING PUYITER REQUESTS BEGIN NEW DATA CASE

(33)

Eindhoven Universit of TechnoJo Research Re arts aculty 0 lectrlcal ngineerlng

ISSN 0167-9708 Coden: TEUED E (188 ) ( 189) (190) (191 ) (192 ) (193 ) (194 ) (195) (196) Jozwiak, J.

THE

FULL DECOMPOSITION OF SEQUENTIAL MACHINES WITH THE STATE AND OUTPUT BEHAVIOUR REALIZATION.

EUT Report 88-E-188. 1988. ISBN 90-6144-188-9

Pineda de Gyvez, J.

ALWAYS: A system for wafer yield analysis.

EUT Report 88-E-189. 1988. ISBN 90-6144-189-7

Siuzdak, J.

OPTicAL COUPLERS FOR COHERENT OPTICAL PHASE DIVERSITY SYSTEMS. EUT Report 88-E-190. 1988. ISBN 90-6144-190-0

Bastiaans, M.J.

LOCAL-FREQUENCY DESCRIPTION OF OPTICAL SIGNALS AND SYSTEMS. EUT Report 88-E-191. 1988. ISBN 90-6144-191-9

Worm, S.C.J.

AlMULTI-FREQUENCY ANTENNA SYSTEM FOR PROPAGATION EXPERIMENTS WITH THE OLYMPUS SATELLITE.

EUT Report 88-E-192. 1988. ISBN 90-6144-192-7

Kersten, W.F.J. and G.A.P. Jacobs

ANALOG AND DIGITAL SIMULATI~LINE-ENERGIZING OVERVOLTAGES AND COMPARISON WITH MEASUREMENTS IN A 400 kV NETWORK.

EUT Report 88-E-193. 1988. ISBN 90-6144-193-5

Hosselet, L.M.L.F.

MARtiNUS VAN MARUM: A Dutch scientist in a revolutionary time.

EUT Report 88-E-194. 1988. ISBN 90-6144-194-3

Bondarev, V.N.

ON SYSTEM IDENTIFICATION USING PULSE-FREQUENCY MODULATED SIGNALS. EUT Report 88-E-19S. 1988. ISBN 90-6144-195-1

Liu Wen-Jiang, lhu Yu-Ca; and Cal Da-Wei

R05EL BUILDING fOR AN INGOT HEAfiNG PROCESS: Physical modelling approach and

identification approach.

EUT Report 88-E-196. 1988. ISBN 90-6144-196-X

(197) Liu Wen-Jiang and Ye Dau-Hua

AlNEW METHOD FOR DYNAMIC HUNTING EXTREMUM CONTROL, BASED ON COMPARISON OF MEASURED AND ESTIMATED VALUE.

EUT Report 88-E-197. 1988. ISBN 90-6144-197-8

(198) Liu Wen-Jiang

(199)

(200)

(201 )

(202)

ANrEXTREMUM HUNTING METHOD USING PSEUDO RANDOM BINARY SIGNAL. EUT Report 88-E-198. 1988. ISBN 90-6144-198-6

Jozwiak,

L-THE FULL DECOMPOSITION OF SEQUENTIAL MACHINES WITH L-THE OUTPUT BEHAVIOUR REALI ZA TI ON.

EUT Report 88-E-199. 1988. ISBN 90-6144-199-4

Huis in It Veld, R.J.

A FORMALiSM TO DESCRIBE CONCURRENT NON-DETERMINISTIC SYSTEMS AND AN APPLICATION OF IT BY ANALYSING SYSTEMS FOR DANGER OF DEADLOCK. EUT Report 88-E-200. 1988. ISBN 90-6144-200-1

Woudenber~, H. van and R. van den Born

HARDWAREYNTHESIS WITH THE AID OFlDYNAMIC PROGRAMMING. EUT Report 88-E-201. 1988. ISBN 90-6144-201-X

En~elshoven, R.J. van and R. van den Born

CO

r

CALCULATION FOR INCREMENTAL HARDWAnE SYNTHESIS. EUT Report 88-E-202. 1988. ISBN 90-6144-202-8

(203) Delissen, J.G.M.

THE LiNEAR REGRESSION MODEL: Model structure selection and biased estimators.

EUT Report 88-£-203. 1988. ISBN 90-6144-203-6

(204) Kalasek, V.K.I.

COMPARISON OF AN ANALYTICAL STUDY AND EMTP IMPLEMENTATION OF COMPLICATED THREE-PHASE SCHEMES FOR REACTOR INTERRUPTION.

(34)

Faculty of lectrical ngineering

(20S) Butterweck, H.J. and J.H.F. Ritzerfeld, M.J. Werter FINITE WORD LENGTH EFFECTS IN DiGITAL. FILTERS: A review.

EUT Report 88-E-205. 1988. ISBN 90-6144-205-2

Coden: TEUEDE

{20G} Bollen, M.H.J. and G.A.P. Jacobs

~IVE TESTING OF AN AL~ FOR TRAVELLING-WAVE-BASED DIRECTIONAL DETECTION AND PHASE-SELECTION BY USING TWONFIL AND EMTP.

EUT Report 88-E-206. 1988. ISBN 90-6144-206-0

(207) Schuurman, W. and M.P.H. Weenink

STABiLiTv OF A TAYLOR-RELAXED CYLINDRICAL PLASMA SEPARATED FROM THE WALL BY A VACUUM LAYER.

EUT Report 88-E-207. 1988. ISBN 90-6144-207-9

(20S) Lucassen, F.H.R. and H.H. van de Ven

A NOTATioN CONVENTION IN RIGID ROBOT MODELLING. EUT Report 88-E-208. 1988. ISBN 90-6144-208-7·

(209) Jozwiak, L.

MINIMAL REALIZATION OF SEQUENTIAL MACHINES: The method of maximal

adjacencies.

EUT Report 88-E-209. 1988. ISBN 90-6144-209-5

(210) Lucassen, F.H.R. and H.H. van de Ven

OPTIMAL BODY FIXED COORDINATE SYSTEMS IN NEWTON/EULER MODELLING. EUT Report 88-E-210. 1988. ISBN 90-6144-210-9

(211) Boom, A.J.J. van den

~ONTROL: An exploratory study.