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44 10 -27.1) 3.7, 1.3(\ 2.35 0.33 '0.98 270351

II

44 45 13.40 -It. 9:~ 1 •. S 3 -6.56 0.18 0.55 19.06i

\

45 11 8.01 - is .•31.0- 2.56 -8.90 0.09 0.26

10.22f

I

_ "' ;.f

...• ,'.j

A-19

.f,

-<-- ••• __ ._---- ••• ". _._,-~

ILE: Ti'{;_~SI S

:J

rT 41 '~l.Jr:T crT~?lJT ::;:h.CENT"E. DHAKA VMI SP {4331-L02l

4:; 44 -1';.21

,

.5.3 1. 57 ?. 9 6 O. 18 0.55 19.03

46 35 -11:':.76 -3'1 .f~.S 1 • 6::" -41.09 2.22 6.02 117.58

4b (t7 27.f.Z [3.,5 (J.3e 12.47 0.32 0.97 30.68

46 48 76.64 2.~.r57 3.10 25.47 1.89 5.51 81.79

47 46 -27.30 -12.38 f).84 -13.22 0.32 0.97 29.97

4~ 46 -7;.75 _~:I.

-

--

.

n~" ") 2.83 -25.89 1.89 5.51 78.22

48 49 51.85 16.02 2.13 14.80 0.69 2.01 54.54

\

4'1 48 -51.IS -14.'11 2. J3 -16.94 ,0.69 ' 2.01 53.29

,

I

49 50 '13.86 1 ~ .4R 2.0R 13.40 0.55 1.60 46.51

50 49 '-!j.3.31 -13.33 I.QQ -1".87 0.55 1.60 45.48 i

\

5U 51 0'.13

,

2!r.01 R.l1 1:.;'9 6.52 0.39 25.34

,

,

,I

I

51 50 -23.87 -7.72 1.56 -').28 0.13 0.39 25.09

I

0.i4

,

51 52 13.87 f.•.•83 0.39 4.,!4 0.07

14.69)

52 51 -13.81 -~.70 0.39 - -5.09 0.07 0.14 14.58 .

52 53 3.51 0.91 O.~l 0.10 0.01 0.02 3.62

53 52 -3.50 -0.99 0.90 -1.69 0.01 0.02 "3.61,

"

SLACK BUS POWER IR'C,<\Ll=14'l."1

SLACI( GUS PlJd"R (RE~Cf!VU= : 10.

a

1 .f.

').

TIJT~L LUAU (11~~)= 90Q.oO

. '~

A-20

'LE: THESIS OPT. 41 RU~T COMPUTE~ CENTRE, DH~K4 VMfSPI tt331- L02

LOSS (~W)= 23.92

~LOSS FRO'j r-JI'JUL~= 23.'17

XLOSS FROM FORM~LA= lOh.OO

RE~L LOSS(~)= 2.58

A-21

APPENDIX - F

Assumption for distributed loads

Consider a feeder with uniformly distributed load as shown in figure below

souRCE.

1-"'-1 R:2.

R3 1<4-

1<.s R"

1<:":1 'Rn-I R"

t I l---r- I. --'l ----fJ- J

+ y t

y

I, 1.:. 1::,

14- 1.5

,-

-'0

Ii'

In-l

Tn

Fig.Cl Unifonnly distributc.'Cl load

'11", total line loss of the feeder,

110"

=

In Rn + (In + In _I ),Rn- I + --- + (In +

In- I + --- + h)' R7 + --- + (In + In- I + -'--

For simplieity of calculation,

Let,

I, = I, =

13

= --- = In =

1 amp

and R,

= fu =

R,

= --- =

Rn

=

1 ohm

Therefore,

A-22.

n(n+l)(2n+l)

= ---

6

2n3(1 + 3/2n +l/2n')

= ---

6

--- (C1)

If n increses, the second and third terms in the braket decreases.

'!herefore,for large values. of n,the secondand third teno can be neglected resulting small error.

For n

=

30, For n

=

40,

error

=

5.05%

error

=

3.78%

For n

=

50, error

=

3.02%

For n

=

100, error

=

1.50%

'!hus neglecting the secondand third terms,

PI088

=

3

--- (C2)

Now,if it is (xmsideredthat the total load is concentrated at a point 1/3 of the wayout on the feeder, then line loss

PI.88

=

(1, + I, + --- + I.)' X 1/3(R, + Hz + --- +R,,)

=

(1 + 1 + --- + 1)' x 1/3(1 + 1 + --- + 1)

n3

= ---

3

--- (C3)

A-23 (

From equation (C2) and equation (C3),it is clear that the two cases gives the sameresult. Therefore,if the load can be considered as being unifonnly dis- tributed along the feeder, the losses are the same as if the total load were concentrated at a point one third of the way out on the feeder. However, it should be remembered that for a BIIIll1lonumberof distributed loads,the error maybe large and the loss in each section between loads should be calculated seperately.

A-24

\.

[1]. N.R.Schultz, " Distribution primary feeder I2R losses", IEEE Transactions on Power Apparatus and Systems, Vol.PAS - 97, No.2,March/April 1978.

[2]. D.I.H.Sun, S.Abe ,R.R.Shoults, M.S.Chen ,P.Eichenberger,and D.Farris,

"Calculation of Energy Losses in a Distribution System" , IEEE Transa- ctions on Power Apparatus and System, Vol.PAS-99, No.4 July/Aug 1980.

[3]. R.D.Schultz, G.L.Hickey and A.D.Brunhart, "Detennination of Subsystem Loss Factors for Loss Allocation with Limited Data",IEEE Transactions on Power Apparatus and Systems, Vol.PAS-10l,No.5,May, 1982.

[4]. S.Rama Lyer,K.Ramachandran and S.Hariharan , "IEEE Proceedings", Vol. 130, pt.C,No.4,July 1983.

[5]. S.Elangovan ,"New approach for real power loss minimisation",IEEE Proceedings,Vol.130,pt.C,No.6,November,1983.

[6]. M.W.Gustafson, "Demand,Energy, and ~inal Electric System

Losses" , IEEE Transactions on Power Apparatus and Systems, Vol.PAS- 102,No.9,September,1983.

[7]. R.Cespedes ,H.Duran ,H.Hernandez and A.Rodriguez, "Assesment of

Electrical Energy Losses in the Colombian Power System" , IEEE Transa- ctions on Power Apparatus and Systems,Vol.PAS-102,No.ll, November,1983.

[8]. A report on "Loss Analysis of Existing System" ,Power System Loss Reduction Programme, Bangladesh Power Developnent Board, Consultant Korea Power Engineering Co.,Inc,Korea, January, 1988.

[9]. Statistics on Connne=ial Operation,"Executive Sunnnray",August,1988.

[10] . "Tari ff Study" C.,oopers& Lybr'dIldAssociates, 1986. ""","

. -z ..••

[11]. "The Third Five Year Plan 1985-90", Planning Conuuission",'Ministry of Planning,GovernmenL of the People's Republic of Bangladesh,Dhaka, November,1985.

[12).A repor't on "System Loss Reduction", Energy Division, Ministry of Energy and M:i.rlcraJ. RCSOUI"CCS,Governmcnt~ of the People's Iu..::public of 13an.g:_}.adesh~

1986.

It:l]. "Asian EIL~;tric 1'01,(-,,- Utilities Dal;, 13001" 1985".

[l4] .S.T.S.Mahmo<xi,C•.T.Kabir and A.I3.L Rahman, :Modifi<.u form of Ule paper

"Non-Lechnif'..al Loss Reduction in Bangladesh Power System", presenL<.'t1"t the regional seminar on Power System Efficiency through Loss Reduction and Load Managementheld at Bangkok sponsored by Asian Developncnt Bank.

[15] .C.L.Wadhwa , "Electrical Power Systems", Wiley Eastern Limited, printed J.n India, 1983.

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