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International Journal of Engineering Science Invention
ISSN (Online): 2319 – 6734, ISSN (Print): 2319 – 6726
www.ijesi.org Volume 2 Issue 12 ǁ December. 2013 ǁ PP.11-15

“Improved Voltage Stability and Loss Reduction in Distribution
Network”
Shubha Singh1, A.K. Kori2
1

Department of Electrical Engineering/JEC Jabalpur, India
Department of Electrical Engineering/JEC Jabalpur, India

2

ABSTRACT: Analysis of the effect of distributed generation(D.G.)capacity and location on voltage stability
enhancement of real distribution network is presented in this paper. Voltage instability occur in power system
when the system is unable to maintain an acceptable voltage profile under an increasing load demand the
analysis is performed using steady state voltage stability. To improve the system voltage stability it is necessary
to consider voltage stability constraint for planning and operation of distribution system this paper present a
method to find the steady state voltage stability region of each bus of a distribution power system.

KEYWORDS: Voltage stability, PQ curve, radial distribution, distribution network.
I.

INTRODUCTION

Distributed Generation (D.G.) is defined as the generation which is dispersed throughout a utility
service territory and either connected to the utilities distribution system or small isolated system distributed
generation (D.G.) resource included (wind turbine, photovoltaic fuel cell, biomass, micro turbine, small hydro
electric plant etc.) In present scenario distribution grid is increasing world wide with the development of
national economy and the improvement of people’s life load demand in distribution network are sharply
increasing like transmission network. The operation condition of distribution network is more and more close to
voltage stability boundaries. Although there always exist important regulatory and business issue concerning the
integration of DG in the grid, technical consideration are often viewed as a critical factor affecting the
development of new installation.[1,3]. The steady state voltage and reactive power control in distribution system
can be properly controlled by co-coordinating the available voltage and reactive power control equipment sucgh
as on load tap changer, substation, shunt capacitor, and feeder determining the optimum set point of equipment
from offline calculation. Distributed Generation may increase the risk of under voltage lower voltage these risk
can be reduced or even be mitigated, if the voltage and reactive power control.
At nay point of time, a power system operating condition should be stable, meeting various operational
criteria and it should also be secure in the even of any credible contingency present day. Power system are being
operated closer to their stability limit due to economic and environment constraints voltage instability
phenomenon are the one in which the receiving end voltage decrease well below its normal value and does not
come back even after setting restoring mechanism such as VAR compensator, or continuous to oscillate for lack
of damping against the disturbance.

II.

IMPACT OF DISTRIBUTED GENERATION UNIT IN POWER SYSTEM

Distribution system are traditionally passive and designed to operate with such unidirectional energy
how not as the transmission system designed for two way power flow. In planning and operating. Its is assumed
that electric power always flow from the secondary winding of the transformer [1,3] in substation to the end of
feeder. With newly introduced distributed generation the distribution system become on active system with both
energy generation and consumption at the formerly exclusives load nodes. Bidirectional power flow should now
incorporated in the hierarchical network design and its operation criteria [2]. Voltage stability analysis often
require examination of lot of system state and many contingency scenarios. For this reason the approach based
on steady state analysis is more feasible and it can also provide global insight of the voltage reactive power
problem [3].
In the operation of a power system, at any given time, there must be balance between the electricity
supply and the demand. A power system should therefore, be able to maintain this balance under both normal
condition (Steady State) and after disturbance (transient) the stability of a power system is defined as a property
of a power system that enable it to remain in a state of equilibrium after being subjected to a disturbance [4].
The operating condition of a power system is described according to physical quantities. Such as the magnitude

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11 | Page
Improved Voltage Stability and Loss Reduction…
and phase angle of the voltage at each bus, and the active/reactive power flowing in each line. If these quantities
are constant over time, the system is considered to be in disturbance [5]. The disturbance can be small or large
depending on their origin and magnitudes. For instance small variation in load and generation are type of large
disturbance [5]. Distributed system network are designed to receive power from the transmission line and then
distribute it to customer, thus real power and reactive power both flow in one direction however, when DG unit
are installed in distribution system the direction of the real and reactive power may be reversed, therefore the
penetration of DG unit into distribution system effects the stability of the system and as the penetration level
increase, stability becomes a significant issue. Any fault occurring in the distribution system might cause
voltage and angle instability [5,6].
2.1 Voltage Stability
Voltage Stability refers to the ability of a power system to maintain steady and acceptable voltage at all
buses in the system after being subjected to a disturbance from a given initial operating condition. The main
factor causing voltage instability is inability to meet the reactive power demand [4]. Voltage stability can be
classified as smaller or large based on the disturbance type. Small voltage stability refer to the ability of the
system to control the voltage when small perturbation occur, such a change in the load. Large voltage stability
refer to the ability of the system to control the voltage after being subjected to large disturbance such as load
outage, fault and large step change in the load. Voltage stability can be evaluated by two different method of
analysis i.e. Static and Dynamic
2.1.1 Static Analysis
This method examines the viability of the equilibrium point represented by a specified operating
condition of the power system. This method allows the examination of a wide range of system condition. The
electric utility industry depend on P-V and Q-V curve in order to determine stability o selected bus.
a) P-V Curve
P-V and Q-V curve are generated by executing a large number of power flow using power flow method in this
case, a power system is typically modeled with non-linear differential algebraic equation [6 ]
x=ƒ(x, λ)

[1]

where xεRn represent a state vector, including the bus voltage magnitude (v) and (δ)
λεRm is a parameter vector that represent the real and reactive power demand at each load bus.
O= ƒ(x, λ)
[2]
The parameter λ varies in the load. Therefore the power flow equation also λ varies.

Figure:1 Single machine PV bus supplying a PQ load bus

Figure:2 P-V curve or nose- Curve

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Improved Voltage Stability and Loss Reduction…
2.1.2. Dynamic Analysis
Dynamic analysis can show the real behaviour of the system such as loads (dynamic and static), DG
units, automatic voltage and frequency control equipment, and the protection systems. The overall power system
is represented by a set of first order differential equations, as given in equation [3].
.
X f (x,V)
[3.]
and a set of algebraic equations
I (x, V) = YNV
[4]
with a set of known initial conditions (X0, V0)
where
X: state vector of the system
V: bus voltage vector
I: current injection vector
YN: network node admittance matrix

III.

LINE LOSS REDUCTION ANALYSIS

Electrical line loss occurs when current flow through transmission and distribution system the
magnitude of thr loss depends on amount current flow and the line resistance. If DG is used to provide energy
locally to the load, line loss can be reduced because of the decrease in current flow in same part of the network.
3.1 Line Loss Analysis for System without DG
Schematic of the system for this analysis is shown in Figure 1. Line loss on a distribution feeder is
equal to the product of line current squared times the line resistance. Therefore, line loss equation for a three
phase system is defined as:
rL (PL2+QL2)
LossB = -----------------3Vp2

N

Figure 3. A simple radial distribution system without WTG.
3.2 Line Loss Analysis with DG
Assuming that the line is short, voltage drop along the line is neglected. Schematic of this system is
shown in Figure 2.
The complex power supplied by the DG equals to SG = PG + jQG. Thus, DG output current is given as:
(PG - jQG)
IG = -----------------3Vp

N
Figure 4. Schematic of a radial system with the inclusion of DG.

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Improved Voltage Stability and Loss Reduction…
The line loss with the integration of DG is a combination of two parts:
1) Line loss from source to the location of DG
2) Line loss from DG location to the location of load
Simulation of line loss reduction analysis
The influence of varying DG location and varying DG power output are considered in this section. In
order to evaluate the effect of DG power output to the system loss both of load and Dg power are set at 0.85
lagging the DG power output are varied over seven values 0.2, 0.4, 0.6, 0.8 and 1.0, 1.2 and 1.4 pv while the
amount of load is kept constant at 2.0 pu.

Figure 3. Variation of line loss reduction with DG power output.
From the above figure it is clearly seen that DG can reduce the line loss in the system this is due to the
fact that DG supplies a portion of real and reactive power to the load, the figure show that the DG rating
increase higher than 2-0pu the rate of line loss reduction actually decline. The suitable rating of DG mainly
depend on the amount and location of load in the feeder.
The location of DG also plays a vital role for electrical line loss. To study this affect, the locations of
DG are varied along the feeder: 20 (location 1), 40 (location 2), 60 (location 3), 80 (location 4), and 100%
(location 5) from the source while load and DG power factors are kept at 0.85 lagging. PULR are calculated
once again by (13) and the results are shown in Figure 4.

Figure 4. Variation of line loss reduction with different DG power output and location.

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Improved Voltage Stability and Loss Reduction…
Figure 4 clearly indicate that both of rating and location of DG are highly sensitive to the line loss in
the system. The results show that the line loss reduces as DG is installed closer and closer to the load. However,
this fact only applies for the case that DG rating is well matched with the amount of load. If the ratio of DG
power output to the amount of load increases beyond the suitable point, the DG that installed near the load will
cause more electrical line loss than the one that installed far away from the load. This is because load cannot
consume all the power supplied by DG.
Since the DG can be operated in either lagging or leading power factor mode, its operating power
factor also has an impact on feeder line loss to evaluate the influence of DG operating power factor. DG power
factor is set to operate at 0.8 lagging and 0.9 leading. It is seen in the above figure that line loss reduction
exhibits the higher value under lagging power factor condition than leading power factor[8]

IV.

CONCLUSION

Distributed Generation affect the voltage profile of the system by power injection. It can improve and
support the voltage profile and voltage stability of the distribution system. The location of DG has a major
impact on the voltage stability of the system the power factor of DG has a strong influence on voltage rise. In
this paper case of distributed generation is one of the many strategies electric utilities are considering to operate
their system in the deregulated environment. In elusion of DG at the distribution level result in several benefits,
among which are congestion relief, loss reduction and over all improvement of energy efficiency reliability and
loss reduction in DG network the result clearly indicate that DG can reduce the electrical line loss, however the
inclusion of DG does not always guarantee the line loss for DG network rating, location and operating power
factor are important factor for line loss reduction.

REFERENCES
[1]
[2]
[3]
[4]
[5]
[6]
[7]
[8]
[9]
[10]

C.W Taylor, Power system voltage stability, Mc Grawhill, 1994
V.V Thong, J. Driesen and R Belmans, “power quality and voltage stability of distribution system with distributed energy
resources. “International Journal of Distributed energy Resource, Vol. 1, No. 3 PP.227-240,2005
G.M. Huang and L.Znao measurement based voltage stability monitoring of power system ,” Available in www.pserc.wisc.edu
P. Kundur, N.J Balu and M.G Lauby, power system stability and control McGraw-hill professional-1994.
J.J Grainger and W.D Steuenson, power system analysis McGraw hill Inc,1968
C. Hsiao-Dong and R. Jean-Jumeau, "Toward a practical performance index for predicting voltage collapse in electric power
systems," IEEE Trans. Power System., vol. 10, pp. 584-592 1995
CIGRE, “CIGRE Technical Brochure on modeling new form of generation and strong,” CIGRE TF 38.01.10 November2000.
P. Kundur, J. Paserba, V. Ajjarapu, G. Anderson, A. Bose, C. Canizares, N. Hatziargyrious D.Hill, “definition and classification
of power system stability IEEE/CIGRE joint vol. 19. PP.1387-1401,2004
Martin.G “Renewable energy get the green light in Chicago” IEE Power and Energy magazine pp 34-39 November/December
2003
Shahidepour, M, and Schwartz F, “don’t let the sun go down on PV. “IEEE Power and energy magazine pp-40-48 May/June
2004.

www.ijesi.org

15 | Page

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International Journal of Engineering and Science Invention (IJESI)

  • 1. International Journal of Engineering Science Invention ISSN (Online): 2319 – 6734, ISSN (Print): 2319 – 6726 www.ijesi.org Volume 2 Issue 12 ǁ December. 2013 ǁ PP.11-15 “Improved Voltage Stability and Loss Reduction in Distribution Network” Shubha Singh1, A.K. Kori2 1 Department of Electrical Engineering/JEC Jabalpur, India Department of Electrical Engineering/JEC Jabalpur, India 2 ABSTRACT: Analysis of the effect of distributed generation(D.G.)capacity and location on voltage stability enhancement of real distribution network is presented in this paper. Voltage instability occur in power system when the system is unable to maintain an acceptable voltage profile under an increasing load demand the analysis is performed using steady state voltage stability. To improve the system voltage stability it is necessary to consider voltage stability constraint for planning and operation of distribution system this paper present a method to find the steady state voltage stability region of each bus of a distribution power system. KEYWORDS: Voltage stability, PQ curve, radial distribution, distribution network. I. INTRODUCTION Distributed Generation (D.G.) is defined as the generation which is dispersed throughout a utility service territory and either connected to the utilities distribution system or small isolated system distributed generation (D.G.) resource included (wind turbine, photovoltaic fuel cell, biomass, micro turbine, small hydro electric plant etc.) In present scenario distribution grid is increasing world wide with the development of national economy and the improvement of people’s life load demand in distribution network are sharply increasing like transmission network. The operation condition of distribution network is more and more close to voltage stability boundaries. Although there always exist important regulatory and business issue concerning the integration of DG in the grid, technical consideration are often viewed as a critical factor affecting the development of new installation.[1,3]. The steady state voltage and reactive power control in distribution system can be properly controlled by co-coordinating the available voltage and reactive power control equipment sucgh as on load tap changer, substation, shunt capacitor, and feeder determining the optimum set point of equipment from offline calculation. Distributed Generation may increase the risk of under voltage lower voltage these risk can be reduced or even be mitigated, if the voltage and reactive power control. At nay point of time, a power system operating condition should be stable, meeting various operational criteria and it should also be secure in the even of any credible contingency present day. Power system are being operated closer to their stability limit due to economic and environment constraints voltage instability phenomenon are the one in which the receiving end voltage decrease well below its normal value and does not come back even after setting restoring mechanism such as VAR compensator, or continuous to oscillate for lack of damping against the disturbance. II. IMPACT OF DISTRIBUTED GENERATION UNIT IN POWER SYSTEM Distribution system are traditionally passive and designed to operate with such unidirectional energy how not as the transmission system designed for two way power flow. In planning and operating. Its is assumed that electric power always flow from the secondary winding of the transformer [1,3] in substation to the end of feeder. With newly introduced distributed generation the distribution system become on active system with both energy generation and consumption at the formerly exclusives load nodes. Bidirectional power flow should now incorporated in the hierarchical network design and its operation criteria [2]. Voltage stability analysis often require examination of lot of system state and many contingency scenarios. For this reason the approach based on steady state analysis is more feasible and it can also provide global insight of the voltage reactive power problem [3]. In the operation of a power system, at any given time, there must be balance between the electricity supply and the demand. A power system should therefore, be able to maintain this balance under both normal condition (Steady State) and after disturbance (transient) the stability of a power system is defined as a property of a power system that enable it to remain in a state of equilibrium after being subjected to a disturbance [4]. The operating condition of a power system is described according to physical quantities. Such as the magnitude www.ijesi.org 11 | Page
  • 2. Improved Voltage Stability and Loss Reduction… and phase angle of the voltage at each bus, and the active/reactive power flowing in each line. If these quantities are constant over time, the system is considered to be in disturbance [5]. The disturbance can be small or large depending on their origin and magnitudes. For instance small variation in load and generation are type of large disturbance [5]. Distributed system network are designed to receive power from the transmission line and then distribute it to customer, thus real power and reactive power both flow in one direction however, when DG unit are installed in distribution system the direction of the real and reactive power may be reversed, therefore the penetration of DG unit into distribution system effects the stability of the system and as the penetration level increase, stability becomes a significant issue. Any fault occurring in the distribution system might cause voltage and angle instability [5,6]. 2.1 Voltage Stability Voltage Stability refers to the ability of a power system to maintain steady and acceptable voltage at all buses in the system after being subjected to a disturbance from a given initial operating condition. The main factor causing voltage instability is inability to meet the reactive power demand [4]. Voltage stability can be classified as smaller or large based on the disturbance type. Small voltage stability refer to the ability of the system to control the voltage when small perturbation occur, such a change in the load. Large voltage stability refer to the ability of the system to control the voltage after being subjected to large disturbance such as load outage, fault and large step change in the load. Voltage stability can be evaluated by two different method of analysis i.e. Static and Dynamic 2.1.1 Static Analysis This method examines the viability of the equilibrium point represented by a specified operating condition of the power system. This method allows the examination of a wide range of system condition. The electric utility industry depend on P-V and Q-V curve in order to determine stability o selected bus. a) P-V Curve P-V and Q-V curve are generated by executing a large number of power flow using power flow method in this case, a power system is typically modeled with non-linear differential algebraic equation [6 ] x=ƒ(x, λ) [1] where xεRn represent a state vector, including the bus voltage magnitude (v) and (δ) λεRm is a parameter vector that represent the real and reactive power demand at each load bus. O= ƒ(x, λ) [2] The parameter λ varies in the load. Therefore the power flow equation also λ varies. Figure:1 Single machine PV bus supplying a PQ load bus Figure:2 P-V curve or nose- Curve www.ijesi.org 12 | Page
  • 3. Improved Voltage Stability and Loss Reduction… 2.1.2. Dynamic Analysis Dynamic analysis can show the real behaviour of the system such as loads (dynamic and static), DG units, automatic voltage and frequency control equipment, and the protection systems. The overall power system is represented by a set of first order differential equations, as given in equation [3]. . X f (x,V) [3.] and a set of algebraic equations I (x, V) = YNV [4] with a set of known initial conditions (X0, V0) where X: state vector of the system V: bus voltage vector I: current injection vector YN: network node admittance matrix III. LINE LOSS REDUCTION ANALYSIS Electrical line loss occurs when current flow through transmission and distribution system the magnitude of thr loss depends on amount current flow and the line resistance. If DG is used to provide energy locally to the load, line loss can be reduced because of the decrease in current flow in same part of the network. 3.1 Line Loss Analysis for System without DG Schematic of the system for this analysis is shown in Figure 1. Line loss on a distribution feeder is equal to the product of line current squared times the line resistance. Therefore, line loss equation for a three phase system is defined as: rL (PL2+QL2) LossB = -----------------3Vp2 N Figure 3. A simple radial distribution system without WTG. 3.2 Line Loss Analysis with DG Assuming that the line is short, voltage drop along the line is neglected. Schematic of this system is shown in Figure 2. The complex power supplied by the DG equals to SG = PG + jQG. Thus, DG output current is given as: (PG - jQG) IG = -----------------3Vp N Figure 4. Schematic of a radial system with the inclusion of DG. www.ijesi.org 13 | Page
  • 4. Improved Voltage Stability and Loss Reduction… The line loss with the integration of DG is a combination of two parts: 1) Line loss from source to the location of DG 2) Line loss from DG location to the location of load Simulation of line loss reduction analysis The influence of varying DG location and varying DG power output are considered in this section. In order to evaluate the effect of DG power output to the system loss both of load and Dg power are set at 0.85 lagging the DG power output are varied over seven values 0.2, 0.4, 0.6, 0.8 and 1.0, 1.2 and 1.4 pv while the amount of load is kept constant at 2.0 pu. Figure 3. Variation of line loss reduction with DG power output. From the above figure it is clearly seen that DG can reduce the line loss in the system this is due to the fact that DG supplies a portion of real and reactive power to the load, the figure show that the DG rating increase higher than 2-0pu the rate of line loss reduction actually decline. The suitable rating of DG mainly depend on the amount and location of load in the feeder. The location of DG also plays a vital role for electrical line loss. To study this affect, the locations of DG are varied along the feeder: 20 (location 1), 40 (location 2), 60 (location 3), 80 (location 4), and 100% (location 5) from the source while load and DG power factors are kept at 0.85 lagging. PULR are calculated once again by (13) and the results are shown in Figure 4. Figure 4. Variation of line loss reduction with different DG power output and location. www.ijesi.org 14 | Page
  • 5. Improved Voltage Stability and Loss Reduction… Figure 4 clearly indicate that both of rating and location of DG are highly sensitive to the line loss in the system. The results show that the line loss reduces as DG is installed closer and closer to the load. However, this fact only applies for the case that DG rating is well matched with the amount of load. If the ratio of DG power output to the amount of load increases beyond the suitable point, the DG that installed near the load will cause more electrical line loss than the one that installed far away from the load. This is because load cannot consume all the power supplied by DG. Since the DG can be operated in either lagging or leading power factor mode, its operating power factor also has an impact on feeder line loss to evaluate the influence of DG operating power factor. DG power factor is set to operate at 0.8 lagging and 0.9 leading. It is seen in the above figure that line loss reduction exhibits the higher value under lagging power factor condition than leading power factor[8] IV. CONCLUSION Distributed Generation affect the voltage profile of the system by power injection. It can improve and support the voltage profile and voltage stability of the distribution system. The location of DG has a major impact on the voltage stability of the system the power factor of DG has a strong influence on voltage rise. In this paper case of distributed generation is one of the many strategies electric utilities are considering to operate their system in the deregulated environment. In elusion of DG at the distribution level result in several benefits, among which are congestion relief, loss reduction and over all improvement of energy efficiency reliability and loss reduction in DG network the result clearly indicate that DG can reduce the electrical line loss, however the inclusion of DG does not always guarantee the line loss for DG network rating, location and operating power factor are important factor for line loss reduction. REFERENCES [1] [2] [3] [4] [5] [6] [7] [8] [9] [10] C.W Taylor, Power system voltage stability, Mc Grawhill, 1994 V.V Thong, J. Driesen and R Belmans, “power quality and voltage stability of distribution system with distributed energy resources. “International Journal of Distributed energy Resource, Vol. 1, No. 3 PP.227-240,2005 G.M. Huang and L.Znao measurement based voltage stability monitoring of power system ,” Available in www.pserc.wisc.edu P. Kundur, N.J Balu and M.G Lauby, power system stability and control McGraw-hill professional-1994. J.J Grainger and W.D Steuenson, power system analysis McGraw hill Inc,1968 C. Hsiao-Dong and R. Jean-Jumeau, "Toward a practical performance index for predicting voltage collapse in electric power systems," IEEE Trans. Power System., vol. 10, pp. 584-592 1995 CIGRE, “CIGRE Technical Brochure on modeling new form of generation and strong,” CIGRE TF 38.01.10 November2000. P. Kundur, J. Paserba, V. Ajjarapu, G. Anderson, A. Bose, C. Canizares, N. Hatziargyrious D.Hill, “definition and classification of power system stability IEEE/CIGRE joint vol. 19. PP.1387-1401,2004 Martin.G “Renewable energy get the green light in Chicago” IEE Power and Energy magazine pp 34-39 November/December 2003 Shahidepour, M, and Schwartz F, “don’t let the sun go down on PV. “IEEE Power and energy magazine pp-40-48 May/June 2004. www.ijesi.org 15 | Page