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International Journal of Trend in Scientific Research and Development (IJTSRD)
Volume: 3 | Issue: 3 | Mar-Apr 2019 Available Online: www.ijtsrd.com e-ISSN: 2456 - 6470
@ IJTSRD | Unique Paper ID – IJTSRD22958 | Volume – 3 | Issue – 3 | Mar-Apr 2019 Page: 674
Study on Loss Allocation of Power Distribution
Network with Distributed Generation
Udit Kumar1, Dr. Himani Goyal2
1Student, 2Professor
1,2Department of Electrical Engineering, Poornima College of Engineering, Jaipur, Rajasthan, India
How to cite this paper: Udit Kumar| Dr.
Himani Goyal "Study on Loss Allocation
of Power Distribution Network with
Distributed Generation" Published in
International Journal of Trend in
Scientific Research and Development
(ijtsrd), ISSN: 2456-
6470, Volume-3 |
Issue-3, April 2019,
pp.674-676, URL:
http://www.ijtsrd.co
m/papers/ijtsrd229
58.pdf
Copyright © 2019 by author(s) and
International Journal of Trend in
Scientific Research and Development
Journal. This is an Open Access article
distributed under
the terms of the
CreativeCommons
Attribution License (CC BY 4.0)
(http://creativecommons.org/licenses/
by/4.0)
ABSTRACT
The introduction of the power distribution network withdistributedgeneration
is vast and losses and faults have been occurred so new challenges also been
introduced. Loss allocation problem is one of them, it comes duringoperation of
power distribution network with distributed generation. In the distribution of
electricity loss allocation also vary and sudden changes willoccur, toreducethis
type of problem bus radial network will be used according to the distribution
and generation of electrical power by loss allocation scheme. In the loss
allocation scheme, different types of algorithms and calculation will be used.
KEYWORDS: Loss allocation, Radial distribution system, load flow, Active and
reactive power flows, Distributed generation, operating costs, renewable energy
sources
1. Literature Review
Today electricity becomes a necessity to the world, most
works are done by electrical power for example machinery
works, households, etc. Generation and distribution of
electrical power from energy sources to the consumers by
generation and distribution networks so it becomes so
complicated, losses and faults will have occurred.
In the loss allocation the current real and imaginary parts
will be taken by each network. The two phase have been
choosen for loss allocation of distribution with distribute
generators allocation of the electrical consumers or
suppliers. The second phase has been taken of the loss
changes of network which has been arised from generators
by allocated to each distributed generator. Differenttypesof
methods for loss allocation is been used.
2. Allocation based on current injections
In the current injection based loss method slack bus is been
used. This is used because of it usable functions and its
application in the distributed system and the generation
system, by infeeded of the buses in the transmissionsystem.
3. Mathematical Formulation
The mathematical formulation by standard systemofmatrix
impedance, networks are been divided in three types; Fixed
current buses, buses without sources, fixed voltage buses.
Fixed voltage buses and fixed current buses is the relation
between the current and voltage.
4. Loss Allocation without Distributed Generators
In the loss allocation without distributed generators have
been allocated to electrical power users; reactivepowerand
active power flow by each networks and branch.
Ii
1=Ii
1p+jIi
1q (1)
Therefore, the loss of branch i can be expressed as:
Plossi = Ri[ (∑NIji
1p )2 + (∑NIji
1q)2
]
j=1 j=1
Where Ri is resistance of branch I, N is the total number of
that load
loss which is allocated by load j by branch I can beexpressed
as:
Pj
lossi = Ri
[(∑NI1p
ki)I1p
ji + (∑NI1q
ki)I1q
ji] (3)
k=1 k=1
Pj
ipss = ∑NPj
lossi (4)
In Equation(4),T is total number of branch.
Overall equation for loss allocation;
Pg
Gloss = ∑T Pg
Glossi
i=1
IJTSRD22958
International Journal of Trend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID - IJTSRD22958 | Volume – 3 | Issue – 3 | Mar-Apr 2019 Page: 675
5. Allocation based on linear regression
In situations where extensive arrangements of estimation
information are accessible, in any case, the system
parameters are not actually displayed, relapse techniques
can be utilized to isolate the reasons for the dynamic and
receptive power misfortunes from one another and to
envision future misfortunes dependent on guesses. In the
reasons for the Reactive power trade between a dispersion
framework and a transmission framework have been
assigned to the breeze turbines, CHPs and purchasers
utilizing a straight relapse examination. This methodology
has likewise been utilized in to decide the effect of wind
turbines on the receptive power misfortunes in the
disseminationtransformers of aframework.[15;16]propose
a bunch savvy direct relapse a techniquedependentonfluffy
rationale to envision and assigndynamiccontrolmisfortunes
in a dissemination framework. The possibility of the direct
relapse examination is to speak tothemisfortunesasadirect
mix of various info factors. For the most part, the straight
relapse issue can be determined. yˆ is a section vector with
one example of the evaluated amount per section, X is a
network with a line for every perception and a section for
each information parameter, B is a segment vector with one
coefficient for each info parameter, and1 is a character
section vector with a similar size as yˆ .
6. Loss allocation
The losses of the framework have been broken down as per
the strategies portrayed in beneath. The point of the
investigations is twofold. Right off the bat, they shouldgivea
diagram of the misfortunes in the appropriation framework.
The accompanying inquiries ought to be considered.
How large are the total losses compared to the load and
production?
Where in the system are the losses dissipated?
What are the losses caused by the integration of DG?
What are the losses caused by the transfer of reactive
power?
What are the potential savings in losses if the
simultaneity between load and productionisIncreased?
Also, the investigations will fill in as an approval of the
misfortune portion techniques introduced . The
examinations depend on estimations got in the period April
sixth, 2006 to February sixth, 2007. Amid the period, a
couple of long periods of information are absent because of
correspondence issues in the SCADA framework. The
assessed mean qualities of misfortunes and so on have not
been remedied for the distinction in burden and generation
design between the missing two months also, the remainder
of the year. Demonstrates an outline of the mean dynamic
power misfortunes, isolated into the parts causing the
misfortunes. The aggregate mean-misfortunesmake around
1.27 MW, from which 72 % is dispersed at 10 kV dimension
and beneath. It ought to be noted that the genuine
framework additionally involves an expansivenumberof 0.4
kV lines which have not been demonstrated. The shunt
misfortunes of the transformers which are basically
autonomous of the stacking, make 49 % of the complete
dynamic power misfortunes. The mean burden subordinate
misfortunes of the 150/60 kV transformers just add up to 5
kW.
Fig. 1 Mean active power losses
The system involves ten 60/10 kV stations. Three of the
stations involve two transformers which are not worked in
parallel. Table 1 demonstratesthemeanburdenand creation
from CHPs and wind turbines of the feeders under each of
the transformers.The system includesten60/10kVstations.
Three of the stations includetwotransformerswhich arenot
worked in parallel. Table 1 demonstrates the mean burden
and creation from CHPs and wind turbines of the feeders
under each of the transformers think about the effect of the
conveyed age, an allotment of the framework misfortunes is
executed as depicted. The accompanying blend of the
techniques has been utilized: Right off the bat, the
misfortunes of the 60 kV system, the 150/60 kV
transformers and the 60/10 kV transformersaredistributed
to the individual feeders, in view of the impedance
framework of that some portion of the system. For
examination, the assignment is made both utilizing the
minor misfortune assignment technique and the a factual
technique dependent on current infusions. Besides, the
misfortunes at 10 kV dimension and beneath for each the
feeder is dispensed to the four classifications; loads, wind
turbines, CHPs and shunt misfortunes. The distribution is
performed utilizing the relapse technique utilizing the
obvious power as input and dismissing thecross-impacts.At
last, the misfortunes at 60 kV or more are allotted to the
loads, wind turbines, CHPs and shunt misfortunes of the
person feeders. The methodology is that the heap or age of
each classless the low voltage misfortunes allotted to the
explicit class are changed over to a comparable current
infusion on the 10 kV side of the 60/10 kV transformers,
also, a similar methodology as in stage one is utilized. Table
2 demonstrates the distribution of the misfortunes at 60 kV
dimension or more, including the 60/10 kV transformers to
the singular feeders. Segment A contains the commitment
from the mean power streams of the feeders. Segment B
demonstrates.
7. CONCLUSION
The paper has portrayed, how the misfortunes in a
dispersion a framework can be allotted to stack and
dispersed age units. The negligible misfortune portion
technique and the current infusion technique has been
International Journal of Trend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID - IJTSRD22958 | Volume – 3 | Issue – 3 | Mar-Apr 2019 Page: 676
utilized for the situation concentratetoallotthemisfortunes.
For the 60 kV framework, the outcomes from the current
infusion strategy have been contrasted withresultsfromthe
affectability investigation and the two calculations show
indistinguishable results. The upsides of the affectability
investigation are right off the bat that the calculation is a
piece of most power framework recreation devices.InPower
factory the figuring of misfortune sensitivities, nonetheless,
requires a conjuring of the affectability apparatus for each
transport under thought.
This can be mechanized, however, it expands the all-out
recreation time. Besides, the elucidation is appropriate for
example impetus creating value signals, since it
straightforwardly gives the cost of a little changeunderway/
utilization. The benefits of thepresentinfusion techniqueare
right off the bat that it depends on the decreased impedance
lattice, which contains the short out impedance. It is
conceivable to make a harsh gauge of the expense of
exchanging power from one spot to another equitable by
taking a gander at the diminished impedance network. Like
the affectability investigation,thecalculationrequiresaheap
stream computation for every estimation test to decide the
current feeds. PowerFactorydoesnotlegitimatelybolster the
fare of the impedance framework. It is, in any case,
conceivable that it could get actualized in afuture adaptation
of the apparatus. The straight relapse technique is a basic
method for getting an review of the misfortunesat10 kV and
beneath. It is, notwithstanding, impractical to isolate the
misfortunes identified withsegmentsin asimilarfeederwith
comparable burden or generation time profiles because of
the multidisciplinary issue.
Framework, it is presumed that the cross impacts betweena
burden furthermore, generationmake agenerallylittlepiece
of the aggregate framework misfortunes, in light of the fact
that the bigger breeze ranches and CHPs are associated with
the 60/10 kV stations through their own radials. In light of
the relapse investigation of feeders with as it were a couple
of little breeze turbines and CHPs, it is, be that as it may,
reasoned that a portion of the little units do add to bringing
down the misfortunes. The receptive power exchange
through the 60/10 kV transformers or more just produces 5
% of the load subordinate misfortunes.
8. References
[1] Costa, P. M. and Matos, M. A., "Loss allocation in
distribution networks with embedded generation,"
IEEE Transactions on Power Systems, vol. 19, no. 1,pp.
384-389, 2004.
[2] Cardell, J. B. Improved Marginal Loss Calculations
During Hour of Transmission Congestion. 2005. 38th
Annual Hawaii International Conference on System
Sciences.
[3] Herter, K., "Residential implementationofcritical-peak
pricing of electricity," Energy Policy, vol. 35 pp. 2121-
2130, 2007.
[4] Hoff, T. E., Perez, R., Braun, G., Kuhn, M., and Norris, B.
The Value of Distributed Photovoltaics to Austin
Energy and the City of Austin. 2006. Austin Energy.
[5] Conejo, A. J., Arroyo, J. M., Alguacil, N., and Guijarro, A.
L., "Transmission loss allocation: a comparison of
different practical algorithms," IEEE Transactions on
Power Systems, vol. 17, no. 3,pp. 571-576, 2002.
[6] Al-Rajhi, A. N. and Bialek J.W. Marginal and Tracing
Pricing of Transmission an Empirical Comparison.
2002. 14th Power Systems Computation Conference.
[7] Mutale, J., Strbac, G., Curcic, S., and Jenkins, N.,
"Allocation of losses in distribution systems with
embedded generation," IEE Proceedings-Generation
Transmission and Distribution, vol. 147, no. 1,pp.7-14,
2000.
[8] Conejo, A. J., Galiana, F. D., and Kockar, I., "Z-bus loss
allocation," Power Systems, IEEE Transactions on, vol.
16, no. 1, pp. 105-110, 2001.

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Study on Loss Allocation of Power Distribution Network with Distributed Generation

  • 1. International Journal of Trend in Scientific Research and Development (IJTSRD) Volume: 3 | Issue: 3 | Mar-Apr 2019 Available Online: www.ijtsrd.com e-ISSN: 2456 - 6470 @ IJTSRD | Unique Paper ID – IJTSRD22958 | Volume – 3 | Issue – 3 | Mar-Apr 2019 Page: 674 Study on Loss Allocation of Power Distribution Network with Distributed Generation Udit Kumar1, Dr. Himani Goyal2 1Student, 2Professor 1,2Department of Electrical Engineering, Poornima College of Engineering, Jaipur, Rajasthan, India How to cite this paper: Udit Kumar| Dr. Himani Goyal "Study on Loss Allocation of Power Distribution Network with Distributed Generation" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456- 6470, Volume-3 | Issue-3, April 2019, pp.674-676, URL: http://www.ijtsrd.co m/papers/ijtsrd229 58.pdf Copyright © 2019 by author(s) and International Journal of Trend in Scientific Research and Development Journal. This is an Open Access article distributed under the terms of the CreativeCommons Attribution License (CC BY 4.0) (http://creativecommons.org/licenses/ by/4.0) ABSTRACT The introduction of the power distribution network withdistributedgeneration is vast and losses and faults have been occurred so new challenges also been introduced. Loss allocation problem is one of them, it comes duringoperation of power distribution network with distributed generation. In the distribution of electricity loss allocation also vary and sudden changes willoccur, toreducethis type of problem bus radial network will be used according to the distribution and generation of electrical power by loss allocation scheme. In the loss allocation scheme, different types of algorithms and calculation will be used. KEYWORDS: Loss allocation, Radial distribution system, load flow, Active and reactive power flows, Distributed generation, operating costs, renewable energy sources 1. Literature Review Today electricity becomes a necessity to the world, most works are done by electrical power for example machinery works, households, etc. Generation and distribution of electrical power from energy sources to the consumers by generation and distribution networks so it becomes so complicated, losses and faults will have occurred. In the loss allocation the current real and imaginary parts will be taken by each network. The two phase have been choosen for loss allocation of distribution with distribute generators allocation of the electrical consumers or suppliers. The second phase has been taken of the loss changes of network which has been arised from generators by allocated to each distributed generator. Differenttypesof methods for loss allocation is been used. 2. Allocation based on current injections In the current injection based loss method slack bus is been used. This is used because of it usable functions and its application in the distributed system and the generation system, by infeeded of the buses in the transmissionsystem. 3. Mathematical Formulation The mathematical formulation by standard systemofmatrix impedance, networks are been divided in three types; Fixed current buses, buses without sources, fixed voltage buses. Fixed voltage buses and fixed current buses is the relation between the current and voltage. 4. Loss Allocation without Distributed Generators In the loss allocation without distributed generators have been allocated to electrical power users; reactivepowerand active power flow by each networks and branch. Ii 1=Ii 1p+jIi 1q (1) Therefore, the loss of branch i can be expressed as: Plossi = Ri[ (∑NIji 1p )2 + (∑NIji 1q)2 ] j=1 j=1 Where Ri is resistance of branch I, N is the total number of that load loss which is allocated by load j by branch I can beexpressed as: Pj lossi = Ri [(∑NI1p ki)I1p ji + (∑NI1q ki)I1q ji] (3) k=1 k=1 Pj ipss = ∑NPj lossi (4) In Equation(4),T is total number of branch. Overall equation for loss allocation; Pg Gloss = ∑T Pg Glossi i=1 IJTSRD22958
  • 2. International Journal of Trend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID - IJTSRD22958 | Volume – 3 | Issue – 3 | Mar-Apr 2019 Page: 675 5. Allocation based on linear regression In situations where extensive arrangements of estimation information are accessible, in any case, the system parameters are not actually displayed, relapse techniques can be utilized to isolate the reasons for the dynamic and receptive power misfortunes from one another and to envision future misfortunes dependent on guesses. In the reasons for the Reactive power trade between a dispersion framework and a transmission framework have been assigned to the breeze turbines, CHPs and purchasers utilizing a straight relapse examination. This methodology has likewise been utilized in to decide the effect of wind turbines on the receptive power misfortunes in the disseminationtransformers of aframework.[15;16]propose a bunch savvy direct relapse a techniquedependentonfluffy rationale to envision and assigndynamiccontrolmisfortunes in a dissemination framework. The possibility of the direct relapse examination is to speak tothemisfortunesasadirect mix of various info factors. For the most part, the straight relapse issue can be determined. yˆ is a section vector with one example of the evaluated amount per section, X is a network with a line for every perception and a section for each information parameter, B is a segment vector with one coefficient for each info parameter, and1 is a character section vector with a similar size as yˆ . 6. Loss allocation The losses of the framework have been broken down as per the strategies portrayed in beneath. The point of the investigations is twofold. Right off the bat, they shouldgivea diagram of the misfortunes in the appropriation framework. The accompanying inquiries ought to be considered. How large are the total losses compared to the load and production? Where in the system are the losses dissipated? What are the losses caused by the integration of DG? What are the losses caused by the transfer of reactive power? What are the potential savings in losses if the simultaneity between load and productionisIncreased? Also, the investigations will fill in as an approval of the misfortune portion techniques introduced . The examinations depend on estimations got in the period April sixth, 2006 to February sixth, 2007. Amid the period, a couple of long periods of information are absent because of correspondence issues in the SCADA framework. The assessed mean qualities of misfortunes and so on have not been remedied for the distinction in burden and generation design between the missing two months also, the remainder of the year. Demonstrates an outline of the mean dynamic power misfortunes, isolated into the parts causing the misfortunes. The aggregate mean-misfortunesmake around 1.27 MW, from which 72 % is dispersed at 10 kV dimension and beneath. It ought to be noted that the genuine framework additionally involves an expansivenumberof 0.4 kV lines which have not been demonstrated. The shunt misfortunes of the transformers which are basically autonomous of the stacking, make 49 % of the complete dynamic power misfortunes. The mean burden subordinate misfortunes of the 150/60 kV transformers just add up to 5 kW. Fig. 1 Mean active power losses The system involves ten 60/10 kV stations. Three of the stations involve two transformers which are not worked in parallel. Table 1 demonstratesthemeanburdenand creation from CHPs and wind turbines of the feeders under each of the transformers.The system includesten60/10kVstations. Three of the stations includetwotransformerswhich arenot worked in parallel. Table 1 demonstrates the mean burden and creation from CHPs and wind turbines of the feeders under each of the transformers think about the effect of the conveyed age, an allotment of the framework misfortunes is executed as depicted. The accompanying blend of the techniques has been utilized: Right off the bat, the misfortunes of the 60 kV system, the 150/60 kV transformers and the 60/10 kV transformersaredistributed to the individual feeders, in view of the impedance framework of that some portion of the system. For examination, the assignment is made both utilizing the minor misfortune assignment technique and the a factual technique dependent on current infusions. Besides, the misfortunes at 10 kV dimension and beneath for each the feeder is dispensed to the four classifications; loads, wind turbines, CHPs and shunt misfortunes. The distribution is performed utilizing the relapse technique utilizing the obvious power as input and dismissing thecross-impacts.At last, the misfortunes at 60 kV or more are allotted to the loads, wind turbines, CHPs and shunt misfortunes of the person feeders. The methodology is that the heap or age of each classless the low voltage misfortunes allotted to the explicit class are changed over to a comparable current infusion on the 10 kV side of the 60/10 kV transformers, also, a similar methodology as in stage one is utilized. Table 2 demonstrates the distribution of the misfortunes at 60 kV dimension or more, including the 60/10 kV transformers to the singular feeders. Segment A contains the commitment from the mean power streams of the feeders. Segment B demonstrates. 7. CONCLUSION The paper has portrayed, how the misfortunes in a dispersion a framework can be allotted to stack and dispersed age units. The negligible misfortune portion technique and the current infusion technique has been
  • 3. International Journal of Trend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID - IJTSRD22958 | Volume – 3 | Issue – 3 | Mar-Apr 2019 Page: 676 utilized for the situation concentratetoallotthemisfortunes. For the 60 kV framework, the outcomes from the current infusion strategy have been contrasted withresultsfromthe affectability investigation and the two calculations show indistinguishable results. The upsides of the affectability investigation are right off the bat that the calculation is a piece of most power framework recreation devices.InPower factory the figuring of misfortune sensitivities, nonetheless, requires a conjuring of the affectability apparatus for each transport under thought. This can be mechanized, however, it expands the all-out recreation time. Besides, the elucidation is appropriate for example impetus creating value signals, since it straightforwardly gives the cost of a little changeunderway/ utilization. The benefits of thepresentinfusion techniqueare right off the bat that it depends on the decreased impedance lattice, which contains the short out impedance. It is conceivable to make a harsh gauge of the expense of exchanging power from one spot to another equitable by taking a gander at the diminished impedance network. Like the affectability investigation,thecalculationrequiresaheap stream computation for every estimation test to decide the current feeds. PowerFactorydoesnotlegitimatelybolster the fare of the impedance framework. It is, in any case, conceivable that it could get actualized in afuture adaptation of the apparatus. The straight relapse technique is a basic method for getting an review of the misfortunesat10 kV and beneath. It is, notwithstanding, impractical to isolate the misfortunes identified withsegmentsin asimilarfeederwith comparable burden or generation time profiles because of the multidisciplinary issue. Framework, it is presumed that the cross impacts betweena burden furthermore, generationmake agenerallylittlepiece of the aggregate framework misfortunes, in light of the fact that the bigger breeze ranches and CHPs are associated with the 60/10 kV stations through their own radials. In light of the relapse investigation of feeders with as it were a couple of little breeze turbines and CHPs, it is, be that as it may, reasoned that a portion of the little units do add to bringing down the misfortunes. The receptive power exchange through the 60/10 kV transformers or more just produces 5 % of the load subordinate misfortunes. 8. References [1] Costa, P. M. and Matos, M. A., "Loss allocation in distribution networks with embedded generation," IEEE Transactions on Power Systems, vol. 19, no. 1,pp. 384-389, 2004. [2] Cardell, J. B. Improved Marginal Loss Calculations During Hour of Transmission Congestion. 2005. 38th Annual Hawaii International Conference on System Sciences. [3] Herter, K., "Residential implementationofcritical-peak pricing of electricity," Energy Policy, vol. 35 pp. 2121- 2130, 2007. [4] Hoff, T. E., Perez, R., Braun, G., Kuhn, M., and Norris, B. The Value of Distributed Photovoltaics to Austin Energy and the City of Austin. 2006. Austin Energy. [5] Conejo, A. J., Arroyo, J. M., Alguacil, N., and Guijarro, A. L., "Transmission loss allocation: a comparison of different practical algorithms," IEEE Transactions on Power Systems, vol. 17, no. 3,pp. 571-576, 2002. [6] Al-Rajhi, A. N. and Bialek J.W. Marginal and Tracing Pricing of Transmission an Empirical Comparison. 2002. 14th Power Systems Computation Conference. [7] Mutale, J., Strbac, G., Curcic, S., and Jenkins, N., "Allocation of losses in distribution systems with embedded generation," IEE Proceedings-Generation Transmission and Distribution, vol. 147, no. 1,pp.7-14, 2000. [8] Conejo, A. J., Galiana, F. D., and Kockar, I., "Z-bus loss allocation," Power Systems, IEEE Transactions on, vol. 16, no. 1, pp. 105-110, 2001.