Optimal Placement and Sizing of Capacitor and Distributed Generator in RadialDistribution System

1 International Journal for Modern Trends in Science and Technology
Volume: 2 | Issue: 09 | September 2016 | ISSN: 2455-3778IJMTST
Optimal Placement and Sizing of Capacitor
and Distributed Generator in Radial
Distribution System
D. Ramakrishna1
| G. Vasu2
1, 2Department of Electrical and Electronics Engineering, Sanketika Vidya Parishad Engineering College,
Visakhapatnam.
Distribution Systems are growing large and being stretched too far, leading to higher system losses and
poor voltage regulation, the need for an efficient and effective distribution system has therefore become more
urgent and important. A distribution system connects consumers to the high-voltage transmission system.
Because of lower voltage, and hence higher current, the I2R loss in a distribution system is significantly high
compared to that in a high-voltage transmission system. The pressure of improving the overall efficiency of
power delivery has forced the power utilities to reduce the loss, especially at the distribution level. Loss
reduction initiatives in distribution systems have been activated due to the increasing cost of supplying
electricity, the shortage in fuel with ever-increasing cost to produce more power, and the global warming
concerns. The total system loss can be decreased by installing capacitor bank and distributed generation.
These two methods can also help maintaining the level of voltage and maintenance power factor. The direct
search algorithm is applied to minimize the loss in radial distribution systems.
KEYWORDS: Capacitor, Distributed Generator, Optimal Location, Radial Distribution
Copyright © 2016 International Journal for Modern Trends in Science and Technology
All rights reserved.
I. INTRODUCTION
Distribution system constitutes the link between
electricity utilities and consumers and their
revenue realization segment. For consumers, it
represents the face of the utility. The modern
distribution system begins as the primary circuit
leaves the sub-station and ends as the secondary
service enters the customer's meter socket by way
of service main. Distribution circuits serve many
types of customers. The voltage used is appropriate
for the shorter distance and varies from 230 to
about 33,000 volts depending on utility standard
practice, distance, and load to be served.
Distribution circuits are fed from a transformer
located in an electrical substation, where the
voltage is reduced from the high values used for
power transmission.
II. LOAD FLOW SOLUTION
Traditional transmission system load flow
methods Gauss-Siedel and Newton Raphson
techniques cannot be used for distribution systems
as R/X ratio is high. Network-Topology-Based
Three-Phase Load Flow for Distribution Systems is
used in this dissertation work.
The capacitor placement problem consists of
determining the optimal numbers, locations and
sizes of capacitor such that minimum yearly cost
due to power/energy losses and cost of capacitors
is achieved. In this dissertation work, optimal sizes
of the switched capacitors in terms of standard
sizes available in the market and their locations are
to be determined for maximum possible reduction
in the loss for radial distribution system. Standard
capacitor sizes available in the literature (in KVAR):
150, 300, 450, 600, 750, 900, 1050, 1200, 1350,
1500, 1650, 1800, 1950, 2100, 2250, 2400, 2550,
2700, 2850, 3000, 3150, 3300, 3450, 3600, 3750,
3900, 4050.
III. SOLUTION METHODOLOGY
In this dissertation work, Direct Search
Algorithm is used to determine the optimal sizes of
switched capacitors together with their optimal
locations in radial distribution systems so that
maximum possible reduction in losses is achieved.
The algorithm is used for radial distribution system
ABSTRACT

Optimal Placement and Sizing of Capacitor and Distributed Generator in Radial Distribution System
with source bus as slack bus and all other load
buses as PQ buses. The algorithm is described in
following steps for deciding the optimal sizes of the
capacitors in terms of standard sizes available in
the market and their locations (only load buses).
1. Read the system data of the distribution
system. Run Base case load flow and determine
the total active power loss (Ploss) of the system.
2. Make Qload =0 by fully compensating all load
buses. Run the load flow. Determine Ploss. (This
is the minimum possible loss of the system to
be aimed at for determining optimal sizes and
locations of Capacitors.)
3. Make „n‟ number of capacitors of different sizes,
whose total is equal to or near Qtotal. Let m(k)
be the number of capacitor where k is ranging
from 1 to n.
4. Place first capacitor at each load bus in turn
and determine Ploss in each case. Identify the
location where system loss is minimum (Ploss(min)
) Repeat this procedure for other sizes of
capacitors. Now determine the minimum of
Ploss(min) and place the corresponding optimal
capacitor at the corresponding optimal
location.
5. Repeat Step-4 for optimal placement of
remaining capacitors till minimum possible
loss is achieved i.e. further placement of
capacitor will result in increase in the loss.
The sizing and sequencing of capacitors depend on
load pattern and can be adjudged by the expert
analyst.
IV. OPTIMAL DISTRIBUTED GENERATOR PLACEMENT
FOR LOSS REDUCTION
The share of distributed generators (DGs) in
power systems has been slowly increasing in the
last few years. DG placement can cause reduction
of power losses and improvement of voltage profile.
There are many reasons for using DG units such as
reduction of system harmonics, improvement of
power quality, improvement of reliability of
systems, improvement of voltage profile and
avoiding of investment in infrastructure of
distribution and transmission networks.
Distributed Generators can be divided into four
types, namely
a) Type-1 DG: It injects both real and reactive
power into the system. Power factor (PFDG)
of the DG is 0 < PFDG < 1. Synchronous
Generator is an example of Type-1 DG.
b) Type-2 DG: It is capable of injecting real
power but consumes reactive power from
the system. Power factor is given by 0 <
PFDG < 1. Induction Generator based in
Wind Turbine Generator System comes
under Type-2 DG.
c) Type-3 DG: This type of DG injects real
power only. Power factor for Type-3 DG is 1.
Solar PV System is an example of Type-3
DG.
d) Type-4 DG: It is capable of injecting reactive
power only. Power factor is 0 for this type of
DG. An example for Type-4 DG is
Synchronous Compensator.
V. PROBLEM FORMULATION
The optimum DG allocation can be treated as
optimum active power compensation, like
capacitor allocation for reactive power
compensation. DG allocation studies are relatively
new, unlike capacitor allocation. The objective
function here is to find the optimal sizes of the DGs
(type-2 & Type-3) in terms of standard sizes
available in the market and their locations so as to
minimize the system loss and improve voltage
profile.
A. Power Factor Selection for DG
Type- 2 DGs injects real power into the system
but consumes reactive power from the system. The
power factor of the Type- 2 DG is 0 < PFDG < 1. To
find the optimal power factor of DG for a given
radial distribution system, fast approach is
implemented. According to this approach the
power factor of combined total load of the system
(PFD) can be expressed by (1)
PFD =
PD
(PD
2
+ QD
2
)
Where, PD = PDi
N
i=1
QD = QDi
N
i=1
The “possible minimum” total loss can be
achieved if the power factor of DG (PFDG) is quickly
selected to be equal to that of the total load (PFD).
That can be expressed by (2)
PFDG = PFD
For Type-3 DG, power factor is always 1.
B. Solution Methodology
The same Direct Search Algorithm is used again to
determine the optimal sizes of DG (Type-2 and

Type-3) together with their optimal locations in
radial distribution systems so that maximum
possible reduction in losses is achieved. The
algorithm is used for radial distribution system
with source bus as slack bus and all other load
buses as PQ buses. In case of Type-2 DG reactive
power consumed from the system is also taken into
consideration.
C. Case Studies, Results and Analysis
The Direct Search Algorithm is used for
determining the optimal location together with the
sizes of Capacitor and DG for loss reduction in the
radial distribution system. The algorithm is
implemented on 15, 33 and 69 - Bus System. For
all the test systems, first individual capacitor and
DG (Type-2 and Type-3) placement is done. DG
placement along with capacitor is also presented
for all the three test systems.
D. Case Study 1: 15 Bus System
This case study is on 15-Bus Radial Distribution
System which consists of 15 buses and 14
branches. All the buses are load buses except one
slack bus. The total active and reactive power
demand of the system is 1266.4 kW and 1251.1
kVAr respectively. 61.80 kW is the base case active
power loss of the system.
Fig.1 Flowchart for DG Placement using Direct Search
Algorithm
Case Study 1 (A): Optimal Placement of
Capacitor:
Table 1: Results of Optimal Capacitor Placement in15-Bus
System
S.No.
Optimal
Capacitor
Size (KVAr)
Optimal
Location
(Bus No.)
Minimum Power Loss
after Optimal Capacitor
placement (kW)
1 300 4 48.19
2 300 11 39.12
3 300 6 32.48
4 150 15 30.98
5 150 9 30.30
Case Study 1 (B): Optimal Placement of Type-3
DG
Table 2: Results of Optimal Placement of Type-3 DG in 15-
Bus System
S.No.
Optimal DG
Size (kW)
Optimal
Location
(Bus No.)
Minimum Power
Loss after Optimal
Placement of
DG (kW)
1 500 4 42.86
2 500 6 34.56
3 100 12 32.80
4 100 11 32.13
Case Study 1 (C): Optimal Placement of
Capacitor A=and Type-3 DG
Table3: Results of Optimal Capacitor and Type-3 DG
Placement in 15- Bus System
S. No.
Optimal DG
Size
(kW)
Optimal
Location
(Bus No.)
Minimum Power Loss
after Optimal Placement
of DG (kW)
1 500 4 12.43
2 500 6 4.57
3 100 12 2.92
4 100 11 2.29
Case Study 1 (D): Optimal Placement of Type-2
DG
Table 4: Reactive Power Consumed by various sizes of DGs
at 0.7 p.f.
S.No.
Real Power
Injected by DG
(Type-2) (kW)
Reactive Power
Consumed by DG
(Type-2) (KVAr)
KVA Rating
of DG
(Type-2)
1 1000 1020.20 1428.57
2 500 510.048 714.24
3 300 306.024 428.54
4 200 204.02 285.69
5 100 102 142.85
Table 5: Optimal Placement of Type-2 DG on 15- Bus
System using Direct Search Algorithm

S.No.
Optimal DG
Size (Type-2)
(kW)
Optimal
Location
(Bus No.)
Minimum Power Loss
after Optimal
Placement of DG (kW)
1 500 2 68.66
Case Study 1 (E): Optimal Placement of
Capacitor And Type-2 DG
Table 6: Results of Optimal Placement of Capacitor and
Type-2 DG in 15- Bus System
S.No.
Optimal
DG Size
(kW)
Optimal
Location
(Bus No.)
Minimum Power Loss
after optimal placement
of DG (kW)
1 500 3 19.70
2 100 6 18.73
Analysis of Results of Case Study On 15-Bus
System
Analysis of results of 15-Bus System for the
different cases is presented below.
(i) Optimal Placement of Capacitor: The
minimum active power loss obtained after
making reactive power load demand of the
system equal to zero (i.e., at all load buses,
Qload =0) is 29.38 kW. This is the minimum
possible loss that should be aimed at. Direct
Search Algorithm gave 30.30 kW as the
minimum loss after optimal placement of
capacitor. It can be observed that, the loss
obtained after optimal placement of capacitor
is very much nearer to the minimum possible
loss of the system. There is a reduction of
31.50 kW (50.97%) in the active power loss
when compared to the base case value. The
optimal sizes of capacitors obtained using the
algorithm is 300 and 150 kVAr. Bus number 4,
11, 6, 15 and 9 are the optimal locations for
capacitor placement.
(ii) Optimal Placement of Type-3 DG: Table 2
shows the optimum location, corresponding
optimum size and total power loss with the
corresponding size of the DG (Type-3). The
minimum loss obtained after DG placement is
32.13 kW i.e., a reduction of 48.01% in the
loss when compared to the base case loss of
the system. Any further placement of DG will
start to increase the losses and it is likely that
it may overshoot the losses of the base case.
Also notice that location of DG plays an
important role in minimizing the losses.
(iii) Optimal Placement of Capacitor and Type-3
DG: Above two cases presents the minimum
possible loss that can be obtained after
optimal placement of capacitor and DG
(Type-3), individually. In this case capacitors
and DGs are placed together to obtained
further reduction in the losses. First optimal
placement of the capacitors is done (as shown
in Table 1) and then DGs are placed optimally
to achieve further reduction in the loss (Table
3).2.29 kW is the minimum loss achieved after
optimal placement of C & DG (Type-3). The
active power loss is reduced by a staggering
figure of 96.29%. It can be noticed from Fig.
4.1 that the bus voltage profile has improved
significantly (above 0.99 p.u. at all the buses)
when compared to base case voltages.
(iv) Optimal Placement of Type-2 DG: The
optimal power factor of DG (Type-2) for 15-Bus
System is 0.7. From Table 5, it can be noticed
that there is no reduction in loss; instead the
loss has increased to 68.99 kW from its base
case value of 61.80 kW. This is true for any
size of DG. The reason is consumption of
reactive power by the DG from the system. At
0.7 power factor, DG is consuming more
reactive power from the system when
compared to the active power injected by the
DG. So it can be concluded that Type-2 DG is
not suitable for smaller distribution system
with lower power factor.
(v) Optimal Placement of Capacitor and Type-2
DG: Here also first capacitors are placed and
then optimal placement of DG is done. Table 6
shows the results of optimal placement of DG
after the optimal capacitor placement. 18.73
kW is the minimum loss achieved after the
optimal placement of C & DG (Type-2). There
is a reduction of 69.69% in the active power
loss. Better voltage profile is observed when
compared to the base case.
E. Case Study 2: 33-Bus System
It is a radial distribution system, with the total
load of 3715 kW and 2300 kVAr, having 33 buses
and 32 branches. All the buses are load buses
except first bus as slack bus. 210.75 kW is the
base case active power loss of the system.
Table 7: Reactive Power Consumed by various sizes of DGs
at 0.85 p.f.

S.No.
Real Power
Injected by
DG
(Type-2) (kW)
Reactive Power
Consumed by
DG
(Type-2) (KVAr)
KVA Rating
of DG
(Type-2)
1 1000 619.74 1176.47
2 500 309.87 588.235
3 300 185.92 352.94
4 200 123.95 235.29
5 100 61.97 117.647
Case Study 2 (A): Optimal Placement of
Capacitor
Table 8: Results of Optimal Capacitor Placement in 33-Bus
System
Case Study 2 (B): Optimal Placement of Type-3
DG
Table 9: Results of Optimal Type-3 DG Placement in
33-Bus System
S. No.
Optimal
DG
Size (kW)
Optimal
Location
(Bus No.)
Minimum Power
Loss after optimal
placement
of DG (kW)
1 1000 12 129.66
2 1000 30 88.57
3 500 25 77.95
4 300 24 75.28
5 200 21 74.26
6 200 4 73.57
7 100 23 73.36
8 100 7 73.24
9 100 22 73.15
10 100 2 73.13
Case Study 2 (C): Optimal Placement of
Capacitor and Type-3 DG
Type-3 DG in 33-Bus System
S. No.
Optimal
DG
Size (kW)
Optimal
Location
(Bus No.)
Minimum Power Loss
after optimal placement
of DG (kW)
1 1000 12 62.46
2 1000 30 24.24
3 500 25 13.74
4 500 24 10.58
5 100 22 9.92
6 100 21 9.57
7 100 5 9.30
8 100 4 9.17
9 100 20
Case Study 2 (D): Optimal Placement of Type-2
DG
Table 11: Results of Optimal Placement of Type-2 DG in
33-Bus System
S. No.
Optimal
DG
Size (kW)
Optimal
Location
(Bus No.)
Minimum Power Loss
after optimal
placement
of DG (kW)
1 500 12 186.28
2 500 24 179.94
3 300 31 176.32
4 100 21 175.92
5 100 25 175.84
Case Study 2 (E): Optimal Placement of
Capacitor And Type-2 DG
Type-2 DG in 33-Bus System
S.No.
Optimal
DG
Size (kW)
Optimal
Location
(Bus No.)
Minimum Power Loss
after optimal
placement
of DG (kW)
1 1000 9 79.18
2 500 32 58.88
S. No.
Optimal
Capacitor
Size (KVAr)
Optimal
Location
(Bus No.)
Minimum Power Loss
after placing the
Capacitors in turn
(kW)
1 300 32 185.07
2 300 30 167.24
3 300 14 153.29
4 300 30 145.60
5 300 25 142.09
6 300 6 139.81
7 150 24 139.40
8 150 21 139.18
9 150 4 139.06

3 500 25 49.86
4 200 21 48.93
5 200 24 48.17
6 100 28 48.01
7 100 19 47.99
FIGURE
Analysis of Results Of Case Study on 33-Bus
System
Analysis of results of 33-Bus System for the
different cases is presented below.
(i) Optimal Placement of Capacitor: The
minimum active power loss obtained after
making reactive power load demand of the
system equal to zero (i.e., at all load buses,
Qload =0) is 138.4 kW. This is the minimum
possible loss that should be aimed at. Direct
Search Algorithm gave 139.06 kW as the
minimum loss after optimal placement of
capacitor. It can be observed that, the loss
obtained after optimal placement of capacitor
is very much nearer to the minimum possible
loss of the system. There is a reduction of
71.69 kW (34.016%) in the active power loss
when compared to the base case value. The
optimal sizes of capacitors obtained using the
algorithm is 300 and 150 kVAr. Bus number
32, 30, 14, 25, 6, 24, 21 and 4 are the optimal
locations for capacitor placement.
(ii) Optimal Placement of Type-3 DG: Table 8
shows the optimum location, corresponding
optimum size and total power loss with the
corresponding size of the DG (Type-3). The
minimum loss obtained after DG placement is
73.13 kW i.e., a reduction of 65.30% in the
loss when compared to the base case loss of
the system. Any further placement of DG will
start to increase the losses and it is likely that
it may overshoot the losses of the base case.
Also notice that location of DG plays an
important role in minimizing the losses.
(iii) Optimal Placement of Capacitor and Type-3
DG: Above two cases presents the minimum
possible loss that can be obtained after
optimal placement of capacitor and DG
(Type-3), individually. In this case capacitors
and DGs are placed together to obtained
further reduction in the losses. First optimal
placement of the capacitors is done (as shown
in Table 7) and then DGs are placed optimally
to achieve further reduction in the loss (Table
9). 9.08 kW is the minimum loss achieved after
optimal placement of C & DG (Type-3). The
active power loss is reduced by a staggering
figure of 95.69%. It can be noticed from Fig.
4.2 that the bus voltage profile has improved
significantly (above 0.99 p.u. at all the buses)
when compared to base case voltages.
(iv) Optimal Placement of Type-2 DG: The
optimal power factor of DG (Type-2) for 33-Bus
System is 0.85. The minimum loss obtained
after DG placement is 175.82 kW i.e., a
reduction of 16.57% in the loss when
compared to the base case loss of the system.
Any further placement of DG is going to
increase the loss. It can be noticed that Type-3
DG placement gives better loss reduction
when compared to Type-2 DG.
(v) Optimal Placement of Capacitor and Type-2
DG: Here also first capacitors are placed and
then optimal placement of DG is done. Table
4.12 shows the results of optimal placement of
DG after the optimal capacitor placement.
47.99 kW is the minimum loss achieved after
the optimal placement of C & DG (Type-2).
There is a reduction of 77.23% in the active
power loss. Better voltage profile is observed
when compared to the base case.
VI. COST ANALYSIS FOR 15-BUS SYSTEM
Detailed cost analysis for 15-bus system is
presented in this section. Average energy cost is
calculated as Rs. 5.88 per kWh. Three load levels
are considered. They are 160%, 100% and 50%
load levels. Three load levels and load duration
time data for the system is given in Table 13.
Table 13: Load Level and Load Duration
Load level 0.5 (Light) 1.0 (Normal) 1.6 (Peak)
Duration in a
Day (hr) 5 12 7
Cost Analysis with Capacitor Placement Only
Cost analysis with optimal capacitor placement is
presented here. The cost of capacitor is taken as
Rs. 379 per KVAr (market survey). The total cost of
the capacitor is Rs. 4, 54,800.

Table 14: Comparison of results with and without Capacitor
Placement
Load
Level
Power Loss
Before
Capacitor
Placement
(kW)
Power
Loss after
Capacitor
Placemen
t (kW)
Energy Loss
Cost before
Capacitor
Placement (Rs.)
Energy Loss
Cost after
Capacitor
Placement
(Rs.)
Light
(0.5)
14.70 7.38 1,57,745.7 79,194.78
Nomi
nal
(1.0)
61.80 30.30 15,91,621.92 7,80,358.32
Peak
(1.6)
168.91 93.71 25,37,602.494 14,07,842.814
Total
Cost
42,86,970.114 22,67,395.914
Annual Net Saving = Rs. 24,74,374.2
Table 14 shows the power loss and annual
energy loss cost for each loading condition. The
annual net saving is obtained by subtracting total
cost of capacitor and annual total energy loss cost
after capacitor placement from annual total energy
loss cost before capacitor placement.
Cost Analysis for C & DG (Type-2) Placement
Induction generator based Wind Energy System
(Type-2 DG) is optimally placed together with
switched capacitor. The total size of the DG and
capacitor is 600 kW 1200 kVAr respectively. A
comparison of results, with and without C & DG
(Type-2) placement, is presented in table 15 for
various loading condition.
Table 15: Comparison of results with and without C & DG
(Type-2) Placement
Load
Level
Power
Loss after
C & DG (
Type-2)
Placemen
t (kW)
Power
Loss after
C & DG (
Type-2)
Placemen
t (kW)
Energy Loss
Cost before
C & DG
(Type-2)
Placement
(Rs.)
Energy Loss
Cost after
C & DG
(Type-2)
Placement
(Rs.)
Light
(0.5)
14.70 4.14 1,57,745.7 44,426.34
Nominal
(1.0)
61.80 18.73 15,91,621.92 4,82,379.912
Peak
(1.6)
168.91 81.71
25,37,602.49
4
12,27,562.01
4
Total
Energy
Loss
Cost
(Annual
)
42,86,970.11
4
17,54,368.26
6
Calculation of Capital Return
Calculation of capital return is done as below:
• Energy Cost = Rs. 5.88/kWh
• Cost of Capacitor = Rs. 379/KVAr
• Total capital Cost of Wind Energy System
(Type-2 DG) = Rs. 5.5 Cr/ MW
• Energy Cost of Wind Energy System = Rs.
4/kWh
• Total Cost of DG installation ( CDG ) =
0.6*5.5*10^7 = Rs.3,30,00,000
• Total Cost of Capacitor installation ( CCap )
= Rs. 4,54,800
Before C & DG placement, active power supplied
from slack bus is 1288.2 kW and after C & DG
placement is 1245.15 kW. Difference between
these two quantities is 43.05 kW. The profit of this
power release is calculated as follow:
• Profit from the release of power (Annually)
= 43.05*5.88*365*24
= Rs. 22,17,453.84
Now the total cost is calculated as follows:
• Total Cost after C& DG placement = CDG +
CCap + Annual Energy Loss Cost after
C & DG (Type-2) placement - Profit from the
release of power
= Rs. 3,29,91,714.426
• Capital Return Period Years =
Total Cost after C& DG placement
Annual Energy Loss Cost before C & DG placement
= 3, 29, 91,714.426 / 42, 86,970.114
= 7.69 Years
So the capital cost can be recovered in
approximately 8 years. After this period the utility
will get a net saving of Rs. 25,32,601.85 annually.
Cost Analysis for C & Dg (Type-3) Placement
Solar photo voltaic system (Type-3 DG) is
optimally placed together with switched capacitor.
The total size of the DG and capacitor is 1200 kW
1200 kVAr respectively. A comparison of results,
with and without C & DG (Type-3) placement, is
presented in table 16 for various loading condition.
(Type-3) Placement
Load
Level
Power
Loss
after
C & DG (
Type-3)
Placeme
nt (kW)
Power
Loss
after
C & DG (
Type-3)
Placeme
nt (kW)
Energy
Loss Cost
before
C & DG
(Type-3)
Placement
(Rs.)
Energy
Loss Cost
after
C & DG
(Type-3)
Placement
(Rs.)
Light
(0.5)
14.70 1.75 1,57,745.7 18,779.25
Nomin
al (1.0)
61.80 2.29
15,91,621.9
2
58,977.576
Peak
(1.6)
168.91 25.81
25,37,602.4
94
71,483.892
2
Total
Energ
y Loss
Cost
(Annu
al)
42,86,970.
114
1,49,240.7
182

• Total capital Cost of Solar Photo Voltaic
System = Rs. 7.97 Cr/ MW
• Energy Cost of Solar Power = Rs.
6.49/kWh
• Total Cost of DG installation ( CDG ) = 1.2
*7.97*10^7 = Rs. 9,56,40,000
= Rs. 4,54,800
Before C & DG placement, active power
supplied from slack bus is 1288.2 kW and after C &
DG placement is 1228.69 kW. Difference between
these two quantities is 59.51 kW.
The profit of this power release is calculated as
follow:
= 59.51*5.88*365*24
= Rs. 30,65,288.68
release of power
= Rs. 9,31,78,752.0382
•
Capital Return Period Years =
= 9,31,78,752.0382 / 42,86,970.114
= 21.75 Years
approximately 22 years.
Cost Analysis for 33-Bus System
Cost Analysis with Capacitor Placement Only
2250 kVAr is the total size of capacitor used for
loss reduction in the 33-bus system. The total cost
of the capacitor came out to be Rs. 8,52,750. Table
5.5 shows the comparison between power loss and
annual energy loss cost before and after placement
of capacitor for all the given loading condition. An
annual net saving of Rs. 41,81,119.176 is
obtained.
Table 17: Comparison of results with and without Capacitor
Placement
Load
Level
Power
Loss
Before
Capacitor
Placement
(kW)
Power
Loss
after
Capacitor
Placement
(kW)
Energy Loss
Cost before
Capacitor
Placement (Rs.)
Energy Loss
Cost after
Capacitor
Placement
(Rs.)
Light
(0.5)
48.76 32.77 5,23,243.56
3,51,654.8
7
Nominal
(1.0)
210.75 139.06 54,27,739.8
35,81,406.
864
Peak
(1.6)
602.12 401.37 90,45,889.608
60,29,942.
058
Total 1,49,96,872.968 99,63,003.
Cost 792
Annual Net Saving = Rs. 41,81,119.176
Induction generator based Wind Energy System
(Type-2 DG) is optimally placed together with
switched capacitor. The total size of the DG and
capacitor is 2600 kW 2250 kVAr respectively. A
comparison of results, with and without C & DG
(Type-2) placement, is presented in table 18 for
various loading condition.
(Type-2) Placement
Load
Level
Power
Loss after
C & DG (
Type-2)
Placement
(kW)
Power
Loss after
C & DG (
Type-2)
Placement
(kW)
Energy Loss
Cost before
C & DG
(Type-2)
Placement
(Rs.)
Energy Loss
Cost after
C & DG
(Type-2)
Placement
(Rs.)
Light
(0.5)
14.70 4.14 1,57,745.7 44,426.34
Nominal
(1.0)
61.80 18.73 15,91,621.92 4,82,379.912
Peak
(1.6)
168.91 81.71 25,37,602.494 12,27,562.014
Total
Energy
Loss Cost
(Annual)
42,86,970.114 17,54,368.266
• Total capital Cost of Wind Energy System
(Type-2 DG) = Rs. 5.5 Cr/ MW
• Energy Cost of Wind Energy System
= Rs. 4/kWh
• Total Cost of DG installation ( CDG )
= 2.6*5.5*10^7 = Rs.14,30,00,000
= Rs. 8,52,750
Before C & DG placement, active power
supplied from slack bus is 3925.75 kW and after C
& DG placement is 3762.99 kW. Difference
between these two quantities is 162.76 kW.
follow:
= 162.76*5.88*365*24
= Rs. 83,83,572.288
release of power
= Rs. 14,06,19,735.78
•

= 14,06,19,735.782 / 1,49,96,872.968
= 9.37 Years
approximately 9.5 years. After this period the
utility will get a net saving of Rs. 98,46,314.898
annually.
Solar photo voltaic system (Type-3 DG) is
optimally placed together with switched capacitor.
The total size of the DG and capacitor is 3500 kW
2250 kVAr respectively. A comparison of results,
with and without C & DG (Type-3) placement, is
presented in table 19 for various loading condition.
• Total capital Cost of Solar Photo Voltaic
System = Rs. 7.97 Cr/ MW
• Energy Cost of Solar Power
= Rs. 6.49/kWh
• Total Cost of DG installation ( CDG )
= 3.5*7.97*10^7 = Rs. 27,89,50,000
= Rs. 8,52,750
(Type-3) Placement
Load
Level
Power
Loss after
C & DG (
Type-3)
Placement
(kW)
Power
Loss after
C & DG (
Type-3)
Placement
(kW)
Energy Loss
Cost before
C & DG (Type-3)
Placement
(Rs.)
Energy
Loss Cost
after
C & DG
(Type-3)
Placemen
t (Rs.)
Light
(0.5)
48.76 2.34 5,23,243.56 25,110.54
Nominal
(1.0)
210.75 9.08 54,27,739.8
2,33,849.
952
Peak
(1.6)
602.12 76.76 90,45,889.608
11,53,196
.184
Total
Energy
Loss
Cost
(Annual)
1,49,96,872.968
14,12,156
.676
Before C & DG placement, active power supplied
from slack bus is 3925.75 kW and after C & DG
placement is 3724.08 kW. Difference between
these two quantities is 201.67 kW.
follow:
= 201.67*5.88*365*24
= Rs. 1,03,87,779.7
C & DG (Type-2) placement - Profit from
the release of power
= Rs. 27,08,27,126.976
•
= 27,08,27,126.976 / 1,49,96,872.968
= 18.05 Years
approximately 18 years.
Cost Analysis Limitations
Following are the limitation of cost analysis
presented in this dissertation work:
1. Cost function is not included in the
objective function while determining the
optimal size of capacitor and DG. The main
objective is to minimize the loss without
considering the cost.
2. Cost analysis is done only on the basis of
loss reduction. Other monetary benefits
obtained by installation of DGs are not
included.
3. Urban feeder with only domestic, industrial
and commercial load is considered in this
work. Hence the energy cost is calculated
by taking average of per unit cost of above
three loads.
VII. CONCLUSION
In this work, Direct Search Algorithm is
implemented to determine the optimal sizes of
Capacitors and DGs along with their optimal
locations for loss reduction in the Radial
Distribution Systems. Switched Capacitor, Type-2
and Type-3 DGs are considered for loss reduction.
Case studies are carried out on three standard test
systems: 15-bus system, 33-Bus System and
69-Bus System. It is observed that there is a
highest reduction in the real power loss along with
improvement in the voltage profile of the
distribution systems when both Capacitors and
DGs are used. Type-3 DG gives much reduction in
loss compared to Type-2 DG, individually or along
with Capacitor placement. With respect to base
case power loss, there is a reduction of 96.29%,
95.69% and 96.76% in the power loss for 15-Bus
System, 33-Bus System and 69-Bus System

respectively after placing Capacitors and Type-3
DGs and a reduction of 69.69%, 77.23% and
82.50% respectively with Capacitors and Type-2
DGs. Cost analysis of Capacitor and DG Placement
is done for all the three standard test systems. Net
saving is obtained when only capacitors are used
for loss reduction. Because of high initial cost of
installation, capital return period for Type-3 DG is
more when compared to Type-2 DG. Hence it is
concluded that loss reduction is achieved either
through Capacitor or DG placement but highest
reduction is obtained by combination of both.
REFERENCES
[1] M. Ramalinga Raju, K.V.S. Ramachandra Murthy, K.
Ravindra, “Direct search algorithm for capacitive
compensation in radial distribution systems”,
Elsevier, Electrical Power and Energy Systems, Vol.
42, pp.24–30, May 2012.
[2] M.H.Haque, “Capacitor placement in radial
distribution systems for loss reduction”, IEEE Proc. -
Gener. Transm. Distrib.,Vol. 146, No. 5, pp.
501-505, September 1999 .
[3] Jen-Hao Teng, “A Network-Topology-based
Three-Phase Load Flow for Distribution Systems”,
Proc. Natl. Sci. Counc. ROC (A), Vol. 24, pp.
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[4] Naresh Acharya, Pukar Mahat, N. Mithulananthan,
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distribution network”, Elsevier, Electrical Power and
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[5] K. Prakash, Member, IEEE, and M. Sydulu, “Particle
Swarm Optimization Based Capacitor Placement on
Radial Distribution Systems”, IEEE Conference-
2007.
[6] T.S.Abdel-Salam, Student Member K Y.Chikhani,
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Technique for Loss Reduction using Compensating
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[7] Ivo Chaves da Silva, Jr., Sandoval Carneiro, Jr.,
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José Luiz Rezende Pereira, Member, IEEE, and Paulo
Augusto Nepomuceno Garcia, “A Heuristic
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2008.
[8] M. Ettehadi, Student Member, IEEE, H.Ghasemi,
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Member, IEEE, “Voltage Stability-Based DG
Placement in Distribution Networks”,IEEE
Transactions on Power Delivery, Vol. 28, No. 1, pp.
171-178, January 2013.
[9] Caisheng Wang, Student Member, IEEE, and M.
Hashem Nehrir, Senior Member, IEEE, “Analytical
Approaches for Optimal Placement of Distributed
Generation Sources in Power Systems”, IEEE
Transactions on Power Systems, Vol. 19, No. 4, pp.
2068-2076, November 2004.
[10]Dan Zhu, Robert P. Broadwater, Member, IEEE,
Kwa-Sur Tam, Senior Member, IEEE, Rich Seguin,
Member, IEEE, and Haukur Asgeirsson, Member,
IEEE, “Impact of DG Placement on Reliability and
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[11]Hasan Hedayati, S. A. Nabaviniaki, and Adel
Akbarimajd, “A Method for Placement of DG Units in
Distribution Networks”, IEEE Transactions on Power
Delivery, Vol. 23, No. 3, pp. 1620-1628, July 2008.

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