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Indonesian Journal of Electrical Engineering and Computer Science
Vol. 21, No. 3, March 2021, pp. 1263~1270
ISSN: 2502-4752, DOI: 10.11591/ijeecs.v21.i3.pp1263-1270  1263
Journal homepage: http://ijeecs.iaescore.com
Impact of distributed generation on the Nigerian power
network
Taiwo Fasina, Bankole Adebanji, Adewale Abe, Isiaka Ismail
Department of Electrical and Electronic Engineering, Ekiti State University, Ado Ekiti, Nigeria
Article Info ABSTRACT
Article history:
Received Jul 5, 2020
Revised Sep 7, 2020
Accepted Oct 17, 2020
Distributed generations (DG) are being installed at increasing rates, both in
developed and developing countries. The increasing number of DG
connected to the distribution system could have a significant impact on the
power system operation. This paper presents a case study investigating the
impact of grid-connected DG on the Nigerian power network in terms of bus
voltages and network losses. The results showed that without DG, some of
the bus voltage magnitudes of the test system were outside the permissible
voltage limit of 0.95pu≤Vi≤1.05p.u. However, with DG connected, the
voltage magnitudes were improved to allowable values. The network active
power loss was reduced by 12.03% from 85.60MW to 75.30MW. In this
way, the power system becomes more efficient and secured.
Keywords:
Distributed generation
Energy storage system
Network losses
Power system simulation
Renewable generation
Voltage profile
This is an open access article under the CC BY-SA license.
Corresponding Author:
Taiwo Fasina
Department of Electrical and Electronic Engineering
Ekiti State University, Ado Ekiti
PMB 5363, Ado Ekiti, Ekiti State, Nigeria
Email: fashtay100@ gmail.com
1. INTRODUCTION
The electric power supply in Nigeria is problematic and unreliable. These problems include under
voltages, high network losses, and frequent partial and total network collapse. Nigeria’s power system has
total network losses of 19% of generated power [1]. The available generation capacity in Nigeria is less than
the power demand, thus resulting in power network being overloaded. Electricity demand in Nigeria is
growing rapidly due to industrialization and rising population [2]. In fact, less than forty percent of Nigeria’s
population have access to quality electricity supply [3, 4]. There are cases of occasional system collapse in
the network [5]. The federal government planned to address these challenges by introducing a renewable
distributed generation to the power system [6]. Distributed generation is preferred to centralized synchronous
generation because it is cheaper and does not require network upgrade. Distributed generations are small-
scale generation which are connected to the electricity distribution system [7]. Distributed generation can be
renewable generation or small-scaled conventional generation. They are widely used in distributed generation
systems such as wind turbines, solar PV, fuel cells, and storage batteries [8].
The federal ministry of power has targeted 30% electricity generation from renewable energy by
2030 [9]. In 2005, the Ministry of Power in Nigeria launched the electric power reform act 2005, which
introduces feed-in-tariff (FiT) scheme to promote renewable energy generation [10]. The installation of grid-
connected DG will help to overcome the current challenges facing the power system [11]. Therefore, the aim
of this paper is to determine the impact of DG on the Nigerian power system.
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The design of the power system in Nigeria considered unidirectional power flow, that is, from the
generating station down to the end users. This situation might lead to reverse power flow in the system when
DG is connected to the power network. Therefore, it is necessary to carry out the impact study of DG on the
power grid. This will help in the planning and operation of the future power system to minimize the negative
impact of the DG integration. DG connected to the electricity distribution system may result in overvoltage
[12], as well as overloading of power transformers and cables.
Previous studies have been carried out to determine the impact of DG on the electricity grid. For
example, the impact of distributed generation with respect to voltage profile [13], line losses [14, 15], short-
circuit current [8], and harmonic [16]. Majority of the studies consider power network in the UK power
systems, where the DGs are mostly wind turbines and combined heat and power (CHP) type. In Nigeria, DGs
are mostly solar PV and Diesel generators. Therefore, it is necessary to carried out impact studies on the
Nigerian distribution network with available DG in order to understand the potential impacts on the network.
Therefore, this paper examines the impacts of DG on the Nigerian electricity distribution network with
respect to network voltage and power losses using the Newton-Raphson method in the Neplan software
environment.
2. RESEARCH METHOD
The Nigerian 330 kV power grid shown in Figure 1 was developed using Neplan software. Power
flow analysis is carried out using the Newton-Raphson solution. The input data for the power flow analysis
include the generator output power, MW and MVAR peak loads, voltage, and power ratings of the line and
transformer data. The modeled network is simulated with and without DG.
The network data was obtained from the power holding company of Nigeria (PHCN), interaction
with PHCN staff, and transmission station at Osogbo. The limits for the distribution voltage (330kV) in
Nigeria are ±5% of nominal [17]. The single line diagram of the Nigerian 330kV power network is shown in
Figure 1 and the transmission line data is presented in Table 1. It consists of twenty-eight load stations and
nine generating stations [18]. The population in Nigeria has increased due to industrial and economic growth.
The network data was obtained from the power holding company of Nigeria (PHCN), interaction
with PHCN staff, and transmission station at Osogbo. The limits for the distribution voltage (330kV) in
Nigeria are ±5% of nominal [17]. The single line diagram of the Nigerian 330kV power network is shown in
Figure 1 and the transmission line data is presented in Table 1. It consists of twenty-eight load stations and
nine generating stations [18]. The population in Nigeria has increased due to industrial and economic growth.
Table 1. Line parameter for 330kV lines
From Bus To Bus L (km) R (p.u) X (p.u) B (p.u)
Osogbo Ikeja 252 0.0099 0.0745 0.4949
Osogbo Benin 251 0.0098 0.0742 0.4930
Egbin Aja 27.5 0.0006 0.0044 0.0295
Ikeja Akangba 17 0.0007 0.0050 0.0333
Osogbo Ayede 115 0.0045 0.0340 0.2257
Ikeja Egbin 62 0.0023 0.0176 0.1176
Ikeja Benin 280 0.0110 0.0828 0.5500
Ikeja Ayede 137 0.0054 0.0405 0.2669
Benin Delta 107 0.0043 0.0317 0.2101
Benin Sapele 50 0.0020 0.0148 0.0982
Kainji Jebba 81 0.0032 0.0239 0.1589
Shiroro Kaduna 96 0.0038 0.0284 0.1886
Afam(iv) Alaoji 25 0.0010 0.0074 0.0491
Ajaokuta Benin 195 0.0077 0.0576 0.3830
Jebba Osogbo 249 0.0061 0.0461 0.3064
Kaduna Kano 265 0.0090 0.0680 0.4516
Kaduna Jos 197 0.0081 0.0609 0.4046
Jos Gombe 265 0.0118 0.0887 0.5892
Sapele Aladja 63 0.0025 0.0186 0.1237
Benin Onitsha 137 0.0054 0.0405 0.2691
Onitsha Newhaven 96 0.0036 0.0272 0.1807
Delta(iv) Aladja 30 0.0012 0.0089 0.0589
Onitsha Alaoji 80 0.0060 0.0455 0.3025
Jebba G Jebba 8 0.0002 0.00020 0.0098
JebbaTS Shiroro 244 0.0096 0.0721 0.4793
Kainji Birnin 310 0.0122 0.0916 0.6089
Jos Markudi 275 0.0029 0.0246 0.1450
Ikeja Papalanto 45 0.0012 0.0089 0.0589
Indonesian J Elec Eng & Comp Sci ISSN: 2502-4752 
Impact of distributed generation on the nigerian power network (Taiwo Fasina)
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Afam G/S
Alaoji
New Haven
Egbin G/S
Onitsha
Delta G/S
Aladja
Sapele T/S
Aja
Akangba
Ayede
Ikeja West
Osogbo
Jebba
Kainji G/S
Birnin Kebbi
Jebba G/S
Benin
Ajaokuta
Jos
Kaduna
Kano
Gombe
G1
G5
G8
G7
G6
G3
Shiroro G/S
G4
Mambilla
Makurdi
Papalanto
G9
Abuja
G2
Figure 1. Nigeria power network [19], [20]
2.1. Formulation of Power flow Equations
In a typical bus of a power system network as shown in Figure 2. Transmission lines are represented
by their equivalent 𝜋 models [21]. The current Ii in Figure 2 is given as:
Ii = yi0
Vi + yi1
(Vi − V1) + y12
(Vi − V2) + ⋯ + yin
(Vi − Vn)
= (yi0 + yi1 + yi2 + ⋯ yin)Vi − yi1V1 − yi2V2 − ⋯ − yinVn
Ii = Vi ∑ yij
n
j=0 − ∑ yij
Vj
n
j=1 j ≠ i (1)
Figure 2. A typical bus of the power system [21]
 ISSN: 2502-4752
Indonesian J Elec Eng & Comp Sci, Vol. 21, No. 3, March 2021: 1263 - 1270
1266
The real and reactive power at bus is:
Pi + jQi
= ViIi
∗
Ii =
Pi−jQi
Vi
∗ (2)
Substitute for Ii in (1):
Pi−jQi
Vi
∗ = Vi ∑ yij
n
j=0 − ∑ yij
Vj
n
j=1 j =≠ (3)
As shown above, the power flow problem can be solved by iterative techniques [21, 22].
2.2. Newton Raphson Method
In Figure 2, this equation can be rewritten as:
Ii = ∑ YijVj
n
j=1 (4)
Expressing this equation in polar form, we have:
Ii = ∑ |Yij|
n
j=1 |Vj| < θij + δj (5)
Therefore:
Pi − jQi
= Vi
∗
Ii (6)
Substituting (4) for Ii in (5):
Pi − jQi
= |Vi| < −δi ∑ |Yij|
n
j=1 |Vj| < θij + δj (7)
Separating the real and imaginary parts:
Pi = ∑ |Vi|
n
j=1 |Vj||Yij|cos(θij − δi + δj) (8)
Qi
= ∑ |Vi|
n
j=1 |Vj||Yij|sin(θij − δi + δj) (9)
Expanding (7) and (8) in Taylor’s series, we have:
[
∆P2
(k)
⋮
∆pn
(k)
∆Q2
(k)
⋮
∆Qn
(k)
]
=
[
[
∂P2
(k)
∂δ2
⋯
∂P2
(k)
∂δn
⋮ ⋱ ⋮
∂Pn
(k)
∂δ2
⋯
∂Pn
(k)
∂δn ]
|
|
[
∂Q2
(k)
∂δ2
⋯
∂Q2
(k)
∂δn
⋮ ⋱ ⋮
∂Qn
(k)
∂δ2
⋯
∂Qn
(k)
∂δn ]
|
|
[
∂P2
(k)
∂|V2|
⋯
∂P2
(k)
∂|Vn|
⋮ ⋱ ⋮
∂Pn
(k)
∂|V2|
⋯
∂Pn
(k)
∂|Vn|]
[
∂Q2
(k)
∂|V2|
⋯
∂Q2
(k)
∂|Vn|
⋮ ⋱ ⋮
∂Qn
(k)
∂|V2|
⋯
∂Qn
(k)
∂|Vn|]]
[
∆δ2
(k)
⋮
∆δn
(k)
∆|V2
(k)
|
⋮
∆|Vn
(k)
|]
The element of the Jacobian matrix is evaluated at ∆δi
(k)
and ∆|Vi
(k)
|:
[
∆P
∆Q
] = [
J1
J2
J3
J4
] [
∆δ
∆|V|
] (10)
∆P and ∆Q represents the difference between specified value and calculated value.
∆V and ∆δ represents magnitude voltage and voltage angle.
Indonesian J Elec Eng & Comp Sci ISSN: 2502-4752 
Impact of distributed generation on the nigerian power network (Taiwo Fasina)
1267
2.3. Newton Raphson method
The flowchart for the power flow solution by Newton-Raphson method is shown in Figure 3.
Figure 3. Power flow solution using newton raphson method
3. RESULTS AND DISCUSSION
In this study, all the simulations are carried out in the Neplan software environment. The first
simulation is carried out with existing system data without DG. The result showed that voltage at the
following buses, namely Gombe (0.897pu), Onitsha (0.937pu), New Haven (0.946pu), Ayede (0.932pu),
Kano (0.885pu) and Jos (0.925pu) were outside the voltage statutory limit of 0.95pu ≤ Vi ≤ 1.05pu as shown
in Table 2. The total network active power loss without DG is 85.6MW. The results of the base case load
flow providing active power losses with and without DG are shown in Figure 4. This result agree with
previous studies on the network as reported in [23-25]. Therefore, incorporation of DG in the distribution
network will help to alleviate the problems of voltage limit violations, and high-power loss in the system. In
the second simulation, six DGs, 10MW each was connected in the network and are optimally located at the
following buses, NewHaven, Ayede, Jos, Onitsha, Gombe, and Kano in Figure 1 [17].
 ISSN: 2502-4752
Indonesian J Elec Eng & Comp Sci, Vol. 21, No. 3, March 2021: 1263 - 1270
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The second power flow results showed that immediately the DGs were installed in the network there
is redistribution of power flows and the system total active power loss reduced to 75.3MW (12.07%
reduction) as depicted in Figure 4. The high-power losses in the system represent a huge financial deficit to
the wheeling utility. Therefore, the installation of DG will reduce the financial burden on wheeling utility.
The simulation results show that Jos to Gombe transmission lines had the highest losses in the network as a
result of excessive reactive power build up along the transmission lines. Reactive power flows along the line
were due to a low power factor in the nodes.
Table 2. Voltage profile with and without DG
Bus
No
Bus
Name
Bus Voltage
without DG (pu)
Bus Voltage
with DG (pu)
1 Kainji 1.050 1.050
2 Oshogbo 1.014 1.021
3 Benin 1.028 1.031
4 Ikeja West 1.019 1.021
5 Ayede 0.932 0.980
6 Jos 0.925 0.968
7 Onitsha 0.937 0.976
8 Akangba 1.012 1.013
9 Gombe 0.897 0.972
10 Abuja 0.98 1.000
11 Egbin 1.050 1.050
12 Delta 1.050 1.050
13 Papalanto 1.050 1.050
14 Mambilla 1.050 1.050
15 Makurdi 1.015 1.027
16 Aladja 1.045 1.045
17 Kano 0.885 0.965
18 Sapele 1.050 1.050
19 Aja 1.045 1.045
20 Ajaokuta 1.036 1.040
21 New haven 0.946 0.984
22 Alaoji 1.030 1.033
23 Afam GS 1.050 1.050
24 Jebba 1.049 1.049
25 Jebba GS 1.050 1.050
26 Birnin Kebbi 1.033 1.033
27 Shiroro 1.050 1.050
28 Kaduna 1.012 1.022
Figure 4. Active power loss in the system
4. CONCLUSION
In this work, load flow analysis of the Nigerian 330 kV power network was performed using Neplan
software and the buses with low voltages were identified. The ability of DG to enhance reduction in power
loss and voltage improvement was demonstrated. The DGs gave a satisfactory result, raising the magnitude
Indonesian J Elec Eng & Comp Sci ISSN: 2502-4752 
Impact of distributed generation on the nigerian power network (Taiwo Fasina)
1269
of the voltage at the buses where they were connected. Also, it raised the magnitude of voltage at other load
buses sufficiently to safe operating limit of 0.95pu≤V≤1.05pu, thus, enhancing network security and
efficiency. The power flow analysis of the Nigerian power grid conducted showed that the power network is
weak with high power loss and voltage limit violations. Moreso, when the DG is connected to the network it
helps in reducing power losses in the system depending on the size and location of the DG installed. The
network losses reduced by 12.07% leading to savings in the overall network cost. It is observed that at higher
penetration of DG, the voltage rise problem could arise. This voltage rise problem could damage network
equipment and affect network operation. The impact of DG is location-dependent, as such, in this study, the
DG was optimally connected to the distribution network to avoid unnecessary voltage rise. It is expected that
the results obtained will help future research in this area and assist the PHCN in network planning and
maintenance.
ACKNOWLEDGEMENTS
This research work was supported in part by the Ekiti State University, Ado-Ekiti, Nigeria and the
Institute of Energy, School of Engineering, Cardiff University, United Kingdom. The authors are grateful to
all the staff and students of these institutions for their assistance.
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[19] NERC, “The Distribution Code For The Nigeria Electricity Distribution System,” 2016, pp. 1–125.
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BIOGRAPHIES OF AUTHORS
Taiwo Fasina received the B.Eng. degree in Electrical and Electronic Engineering from Ondo
State University, Ado Ekiti, Nigeria (now Ekiti State University, Ado-Ekiti), in 1998 and M.
Tech. degree from Ladoke Akintola University (LAUTECH), Ogbomoso, Nigeria in 2012. He
completed his Ph.D. from Cardiff University, United Kingdom, in 2019. He is currently a lecturer
in Ekiti State University, Ado Ekiti, Ekiti-State, Nigeria. He is a registered COREN Engineer and
a member of the Nigerian Society of Engineers (MNSE). His main interest includes power system
analysis, distributed generation, localised energy systems, Electric vehicles, deregulation, and
electricity transmission pricing.
Bankole Adebanji received the B.Eng.degree in Electrical and Electronic Engineering in 1997
from the then Ondo State University, Ado-Ekiti, Ekiti State, Nigeria (now Ekiti State University,
Ado-Ekiti), M.Tech.degree (Electronic and Electrical Engineering) and Ph.D degree ( Power
System Engineering and Machine) from Ladoke Akintola University of Technology
(LAUTECH), Ogbomoso, Nigeria in 2010 and 2019 respectively. His researh interest are
Renewable energy, Power system engineering, Hybrid, Small hydro and optimization.He is a
resgistered COREN Engineer and a member of Nigerian Society of Engineers (MNSE). He is
currently lecturing in the Electrical and Electronic Engineering department of Ekiti State
University, Ado-Ekiti, Nigeria.
Adewale Abe received the B.Eng.degree in Electrical and Electronic Engineering in 1999 from
the then Ondo State University, Ado-Ekiti, Ekiti State, Nigeria (now Ekiti State University, Ado-
Ekiti), M. Eng. degree (Electrical and Electronic Engineering) from University of Benin, Nigeria
in 2005 and PhD degree ( Electronic System Engineering and Machine) from University of Essex,
UK in 2018. His researh interest are Electronic and Telecommunication Engineering. He is a
resgistered COREN Engineer and a member of Nigerian Society of Engineers (MNSE). He is
Senior lecturer in the Electrical and Electronic Engineering department of Ekiti State University,
Ado-Ekiti, Nigeria.
Isiaka Ismail was born in Kano, Nigeria in 1976. He received the B. Eng degree in Electrical and
Electronic Engineering from Ahmadu Bello University, Zaria, Nigeria in 2002 and M. Eng degree
in Electronic and Communication Engineering from Ekiti State University, Ado Ekiti, Ekiti State,
Nigeria in 2017. He is currently undergoing his PhD degree in Ladoke Akintola University of
Technology, Ogbomosho, Nigeria. His research area is in speech recognition technology using
artificial intelligence.

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Impact of distributed generation on the Nigerian power network

  • 1. Indonesian Journal of Electrical Engineering and Computer Science Vol. 21, No. 3, March 2021, pp. 1263~1270 ISSN: 2502-4752, DOI: 10.11591/ijeecs.v21.i3.pp1263-1270  1263 Journal homepage: http://ijeecs.iaescore.com Impact of distributed generation on the Nigerian power network Taiwo Fasina, Bankole Adebanji, Adewale Abe, Isiaka Ismail Department of Electrical and Electronic Engineering, Ekiti State University, Ado Ekiti, Nigeria Article Info ABSTRACT Article history: Received Jul 5, 2020 Revised Sep 7, 2020 Accepted Oct 17, 2020 Distributed generations (DG) are being installed at increasing rates, both in developed and developing countries. The increasing number of DG connected to the distribution system could have a significant impact on the power system operation. This paper presents a case study investigating the impact of grid-connected DG on the Nigerian power network in terms of bus voltages and network losses. The results showed that without DG, some of the bus voltage magnitudes of the test system were outside the permissible voltage limit of 0.95pu≤Vi≤1.05p.u. However, with DG connected, the voltage magnitudes were improved to allowable values. The network active power loss was reduced by 12.03% from 85.60MW to 75.30MW. In this way, the power system becomes more efficient and secured. Keywords: Distributed generation Energy storage system Network losses Power system simulation Renewable generation Voltage profile This is an open access article under the CC BY-SA license. Corresponding Author: Taiwo Fasina Department of Electrical and Electronic Engineering Ekiti State University, Ado Ekiti PMB 5363, Ado Ekiti, Ekiti State, Nigeria Email: fashtay100@ gmail.com 1. INTRODUCTION The electric power supply in Nigeria is problematic and unreliable. These problems include under voltages, high network losses, and frequent partial and total network collapse. Nigeria’s power system has total network losses of 19% of generated power [1]. The available generation capacity in Nigeria is less than the power demand, thus resulting in power network being overloaded. Electricity demand in Nigeria is growing rapidly due to industrialization and rising population [2]. In fact, less than forty percent of Nigeria’s population have access to quality electricity supply [3, 4]. There are cases of occasional system collapse in the network [5]. The federal government planned to address these challenges by introducing a renewable distributed generation to the power system [6]. Distributed generation is preferred to centralized synchronous generation because it is cheaper and does not require network upgrade. Distributed generations are small- scale generation which are connected to the electricity distribution system [7]. Distributed generation can be renewable generation or small-scaled conventional generation. They are widely used in distributed generation systems such as wind turbines, solar PV, fuel cells, and storage batteries [8]. The federal ministry of power has targeted 30% electricity generation from renewable energy by 2030 [9]. In 2005, the Ministry of Power in Nigeria launched the electric power reform act 2005, which introduces feed-in-tariff (FiT) scheme to promote renewable energy generation [10]. The installation of grid- connected DG will help to overcome the current challenges facing the power system [11]. Therefore, the aim of this paper is to determine the impact of DG on the Nigerian power system.
  • 2.  ISSN: 2502-4752 Indonesian J Elec Eng & Comp Sci, Vol. 21, No. 3, March 2021: 1263 - 1270 1264 The design of the power system in Nigeria considered unidirectional power flow, that is, from the generating station down to the end users. This situation might lead to reverse power flow in the system when DG is connected to the power network. Therefore, it is necessary to carry out the impact study of DG on the power grid. This will help in the planning and operation of the future power system to minimize the negative impact of the DG integration. DG connected to the electricity distribution system may result in overvoltage [12], as well as overloading of power transformers and cables. Previous studies have been carried out to determine the impact of DG on the electricity grid. For example, the impact of distributed generation with respect to voltage profile [13], line losses [14, 15], short- circuit current [8], and harmonic [16]. Majority of the studies consider power network in the UK power systems, where the DGs are mostly wind turbines and combined heat and power (CHP) type. In Nigeria, DGs are mostly solar PV and Diesel generators. Therefore, it is necessary to carried out impact studies on the Nigerian distribution network with available DG in order to understand the potential impacts on the network. Therefore, this paper examines the impacts of DG on the Nigerian electricity distribution network with respect to network voltage and power losses using the Newton-Raphson method in the Neplan software environment. 2. RESEARCH METHOD The Nigerian 330 kV power grid shown in Figure 1 was developed using Neplan software. Power flow analysis is carried out using the Newton-Raphson solution. The input data for the power flow analysis include the generator output power, MW and MVAR peak loads, voltage, and power ratings of the line and transformer data. The modeled network is simulated with and without DG. The network data was obtained from the power holding company of Nigeria (PHCN), interaction with PHCN staff, and transmission station at Osogbo. The limits for the distribution voltage (330kV) in Nigeria are ±5% of nominal [17]. The single line diagram of the Nigerian 330kV power network is shown in Figure 1 and the transmission line data is presented in Table 1. It consists of twenty-eight load stations and nine generating stations [18]. The population in Nigeria has increased due to industrial and economic growth. The network data was obtained from the power holding company of Nigeria (PHCN), interaction with PHCN staff, and transmission station at Osogbo. The limits for the distribution voltage (330kV) in Nigeria are ±5% of nominal [17]. The single line diagram of the Nigerian 330kV power network is shown in Figure 1 and the transmission line data is presented in Table 1. It consists of twenty-eight load stations and nine generating stations [18]. The population in Nigeria has increased due to industrial and economic growth. Table 1. Line parameter for 330kV lines From Bus To Bus L (km) R (p.u) X (p.u) B (p.u) Osogbo Ikeja 252 0.0099 0.0745 0.4949 Osogbo Benin 251 0.0098 0.0742 0.4930 Egbin Aja 27.5 0.0006 0.0044 0.0295 Ikeja Akangba 17 0.0007 0.0050 0.0333 Osogbo Ayede 115 0.0045 0.0340 0.2257 Ikeja Egbin 62 0.0023 0.0176 0.1176 Ikeja Benin 280 0.0110 0.0828 0.5500 Ikeja Ayede 137 0.0054 0.0405 0.2669 Benin Delta 107 0.0043 0.0317 0.2101 Benin Sapele 50 0.0020 0.0148 0.0982 Kainji Jebba 81 0.0032 0.0239 0.1589 Shiroro Kaduna 96 0.0038 0.0284 0.1886 Afam(iv) Alaoji 25 0.0010 0.0074 0.0491 Ajaokuta Benin 195 0.0077 0.0576 0.3830 Jebba Osogbo 249 0.0061 0.0461 0.3064 Kaduna Kano 265 0.0090 0.0680 0.4516 Kaduna Jos 197 0.0081 0.0609 0.4046 Jos Gombe 265 0.0118 0.0887 0.5892 Sapele Aladja 63 0.0025 0.0186 0.1237 Benin Onitsha 137 0.0054 0.0405 0.2691 Onitsha Newhaven 96 0.0036 0.0272 0.1807 Delta(iv) Aladja 30 0.0012 0.0089 0.0589 Onitsha Alaoji 80 0.0060 0.0455 0.3025 Jebba G Jebba 8 0.0002 0.00020 0.0098 JebbaTS Shiroro 244 0.0096 0.0721 0.4793 Kainji Birnin 310 0.0122 0.0916 0.6089 Jos Markudi 275 0.0029 0.0246 0.1450 Ikeja Papalanto 45 0.0012 0.0089 0.0589
  • 3. Indonesian J Elec Eng & Comp Sci ISSN: 2502-4752  Impact of distributed generation on the nigerian power network (Taiwo Fasina) 1265 Afam G/S Alaoji New Haven Egbin G/S Onitsha Delta G/S Aladja Sapele T/S Aja Akangba Ayede Ikeja West Osogbo Jebba Kainji G/S Birnin Kebbi Jebba G/S Benin Ajaokuta Jos Kaduna Kano Gombe G1 G5 G8 G7 G6 G3 Shiroro G/S G4 Mambilla Makurdi Papalanto G9 Abuja G2 Figure 1. Nigeria power network [19], [20] 2.1. Formulation of Power flow Equations In a typical bus of a power system network as shown in Figure 2. Transmission lines are represented by their equivalent 𝜋 models [21]. The current Ii in Figure 2 is given as: Ii = yi0 Vi + yi1 (Vi − V1) + y12 (Vi − V2) + ⋯ + yin (Vi − Vn) = (yi0 + yi1 + yi2 + ⋯ yin)Vi − yi1V1 − yi2V2 − ⋯ − yinVn Ii = Vi ∑ yij n j=0 − ∑ yij Vj n j=1 j ≠ i (1) Figure 2. A typical bus of the power system [21]
  • 4.  ISSN: 2502-4752 Indonesian J Elec Eng & Comp Sci, Vol. 21, No. 3, March 2021: 1263 - 1270 1266 The real and reactive power at bus is: Pi + jQi = ViIi ∗ Ii = Pi−jQi Vi ∗ (2) Substitute for Ii in (1): Pi−jQi Vi ∗ = Vi ∑ yij n j=0 − ∑ yij Vj n j=1 j =≠ (3) As shown above, the power flow problem can be solved by iterative techniques [21, 22]. 2.2. Newton Raphson Method In Figure 2, this equation can be rewritten as: Ii = ∑ YijVj n j=1 (4) Expressing this equation in polar form, we have: Ii = ∑ |Yij| n j=1 |Vj| < θij + δj (5) Therefore: Pi − jQi = Vi ∗ Ii (6) Substituting (4) for Ii in (5): Pi − jQi = |Vi| < −δi ∑ |Yij| n j=1 |Vj| < θij + δj (7) Separating the real and imaginary parts: Pi = ∑ |Vi| n j=1 |Vj||Yij|cos(θij − δi + δj) (8) Qi = ∑ |Vi| n j=1 |Vj||Yij|sin(θij − δi + δj) (9) Expanding (7) and (8) in Taylor’s series, we have: [ ∆P2 (k) ⋮ ∆pn (k) ∆Q2 (k) ⋮ ∆Qn (k) ] = [ [ ∂P2 (k) ∂δ2 ⋯ ∂P2 (k) ∂δn ⋮ ⋱ ⋮ ∂Pn (k) ∂δ2 ⋯ ∂Pn (k) ∂δn ] | | [ ∂Q2 (k) ∂δ2 ⋯ ∂Q2 (k) ∂δn ⋮ ⋱ ⋮ ∂Qn (k) ∂δ2 ⋯ ∂Qn (k) ∂δn ] | | [ ∂P2 (k) ∂|V2| ⋯ ∂P2 (k) ∂|Vn| ⋮ ⋱ ⋮ ∂Pn (k) ∂|V2| ⋯ ∂Pn (k) ∂|Vn|] [ ∂Q2 (k) ∂|V2| ⋯ ∂Q2 (k) ∂|Vn| ⋮ ⋱ ⋮ ∂Qn (k) ∂|V2| ⋯ ∂Qn (k) ∂|Vn|]] [ ∆δ2 (k) ⋮ ∆δn (k) ∆|V2 (k) | ⋮ ∆|Vn (k) |] The element of the Jacobian matrix is evaluated at ∆δi (k) and ∆|Vi (k) |: [ ∆P ∆Q ] = [ J1 J2 J3 J4 ] [ ∆δ ∆|V| ] (10) ∆P and ∆Q represents the difference between specified value and calculated value. ∆V and ∆δ represents magnitude voltage and voltage angle.
  • 5. Indonesian J Elec Eng & Comp Sci ISSN: 2502-4752  Impact of distributed generation on the nigerian power network (Taiwo Fasina) 1267 2.3. Newton Raphson method The flowchart for the power flow solution by Newton-Raphson method is shown in Figure 3. Figure 3. Power flow solution using newton raphson method 3. RESULTS AND DISCUSSION In this study, all the simulations are carried out in the Neplan software environment. The first simulation is carried out with existing system data without DG. The result showed that voltage at the following buses, namely Gombe (0.897pu), Onitsha (0.937pu), New Haven (0.946pu), Ayede (0.932pu), Kano (0.885pu) and Jos (0.925pu) were outside the voltage statutory limit of 0.95pu ≤ Vi ≤ 1.05pu as shown in Table 2. The total network active power loss without DG is 85.6MW. The results of the base case load flow providing active power losses with and without DG are shown in Figure 4. This result agree with previous studies on the network as reported in [23-25]. Therefore, incorporation of DG in the distribution network will help to alleviate the problems of voltage limit violations, and high-power loss in the system. In the second simulation, six DGs, 10MW each was connected in the network and are optimally located at the following buses, NewHaven, Ayede, Jos, Onitsha, Gombe, and Kano in Figure 1 [17].
  • 6.  ISSN: 2502-4752 Indonesian J Elec Eng & Comp Sci, Vol. 21, No. 3, March 2021: 1263 - 1270 1268 The second power flow results showed that immediately the DGs were installed in the network there is redistribution of power flows and the system total active power loss reduced to 75.3MW (12.07% reduction) as depicted in Figure 4. The high-power losses in the system represent a huge financial deficit to the wheeling utility. Therefore, the installation of DG will reduce the financial burden on wheeling utility. The simulation results show that Jos to Gombe transmission lines had the highest losses in the network as a result of excessive reactive power build up along the transmission lines. Reactive power flows along the line were due to a low power factor in the nodes. Table 2. Voltage profile with and without DG Bus No Bus Name Bus Voltage without DG (pu) Bus Voltage with DG (pu) 1 Kainji 1.050 1.050 2 Oshogbo 1.014 1.021 3 Benin 1.028 1.031 4 Ikeja West 1.019 1.021 5 Ayede 0.932 0.980 6 Jos 0.925 0.968 7 Onitsha 0.937 0.976 8 Akangba 1.012 1.013 9 Gombe 0.897 0.972 10 Abuja 0.98 1.000 11 Egbin 1.050 1.050 12 Delta 1.050 1.050 13 Papalanto 1.050 1.050 14 Mambilla 1.050 1.050 15 Makurdi 1.015 1.027 16 Aladja 1.045 1.045 17 Kano 0.885 0.965 18 Sapele 1.050 1.050 19 Aja 1.045 1.045 20 Ajaokuta 1.036 1.040 21 New haven 0.946 0.984 22 Alaoji 1.030 1.033 23 Afam GS 1.050 1.050 24 Jebba 1.049 1.049 25 Jebba GS 1.050 1.050 26 Birnin Kebbi 1.033 1.033 27 Shiroro 1.050 1.050 28 Kaduna 1.012 1.022 Figure 4. Active power loss in the system 4. CONCLUSION In this work, load flow analysis of the Nigerian 330 kV power network was performed using Neplan software and the buses with low voltages were identified. The ability of DG to enhance reduction in power loss and voltage improvement was demonstrated. The DGs gave a satisfactory result, raising the magnitude
  • 7. Indonesian J Elec Eng & Comp Sci ISSN: 2502-4752  Impact of distributed generation on the nigerian power network (Taiwo Fasina) 1269 of the voltage at the buses where they were connected. Also, it raised the magnitude of voltage at other load buses sufficiently to safe operating limit of 0.95pu≤V≤1.05pu, thus, enhancing network security and efficiency. The power flow analysis of the Nigerian power grid conducted showed that the power network is weak with high power loss and voltage limit violations. Moreso, when the DG is connected to the network it helps in reducing power losses in the system depending on the size and location of the DG installed. The network losses reduced by 12.07% leading to savings in the overall network cost. It is observed that at higher penetration of DG, the voltage rise problem could arise. This voltage rise problem could damage network equipment and affect network operation. The impact of DG is location-dependent, as such, in this study, the DG was optimally connected to the distribution network to avoid unnecessary voltage rise. It is expected that the results obtained will help future research in this area and assist the PHCN in network planning and maintenance. ACKNOWLEDGEMENTS This research work was supported in part by the Ekiti State University, Ado-Ekiti, Nigeria and the Institute of Energy, School of Engineering, Cardiff University, United Kingdom. The authors are grateful to all the staff and students of these institutions for their assistance. REFERENCES [1] H. N. Amadi, E. N. C. Okafor, and F. I. Izuegbunam, “Assessment of Energy Losses and Cost Implications in the Nigerian Distribution Network,” American Journal of Electrical and Electronic Engineering, vol. 4, no.5, pp. 123– 130, 2016, doi: 10.12691/ajeee-4-5-1. [2] A. P. Team, “Nigeria Power Baseline Report,” Office of the Vice President.Federal Republic of Nigeria, 2015. [3] A. S. 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  • 8.  ISSN: 2502-4752 Indonesian J Elec Eng & Comp Sci, Vol. 21, No. 3, March 2021: 1263 - 1270 1270 [19] NERC, “The Distribution Code For The Nigeria Electricity Distribution System,” 2016, pp. 1–125. [20] D. O. Aborisade and K. . Adebayo, I.G., and Oyesina, “Open Access A comparison of the Voltage Enhancement and Loss Reduction Capabilities of STATCOM and SSSC FACTS Controllers,” American Journal of Engineering Reviews, vol. 03, no. 01, pp. 96–105, 2014. [21] H. Saadat, Power System Analysis, Third Edition. PSA Publishing, 2011. [22] P. Kundur, Power System Stability And Control, Englewood Cliff, New Jersey: McGraw-Hill, Inc., 1994. [23] K. A. Adebayo, I.G. Aborisade, D.O. and O. Oyesina, “Steady State Voltage Stability Enhancement Using Static Synchronous Series Compensator ( SSSC ); A Case Study of Nigerian 330KV Grid System,” Journal of Engineering Application and Science, vol. 2, no. 1, pp. 54–61, 2013. [24] O. Eseosa and E. Ogujor, “Determination of Bus Voltages, Power Losses and Flows in the Nigeria 330kV Integrated Power System,” International Journal of Advances in Engineering and Technology, vol. 4, no. 1, pp. 94– 106, 2012. [25] U. C. Ogbuefi and T. C. Madueme, “A Power Flow Analysis of the Nigerian 330 KV Electric Power System,” IOSR Journal of Electrical and Electronics Engineering (IOSR-JEEE) vol. 10, no. 1, pp. 46–57, 2015, doi: 10.9790/1676-10114657. BIOGRAPHIES OF AUTHORS Taiwo Fasina received the B.Eng. degree in Electrical and Electronic Engineering from Ondo State University, Ado Ekiti, Nigeria (now Ekiti State University, Ado-Ekiti), in 1998 and M. Tech. degree from Ladoke Akintola University (LAUTECH), Ogbomoso, Nigeria in 2012. He completed his Ph.D. from Cardiff University, United Kingdom, in 2019. He is currently a lecturer in Ekiti State University, Ado Ekiti, Ekiti-State, Nigeria. He is a registered COREN Engineer and a member of the Nigerian Society of Engineers (MNSE). His main interest includes power system analysis, distributed generation, localised energy systems, Electric vehicles, deregulation, and electricity transmission pricing. Bankole Adebanji received the B.Eng.degree in Electrical and Electronic Engineering in 1997 from the then Ondo State University, Ado-Ekiti, Ekiti State, Nigeria (now Ekiti State University, Ado-Ekiti), M.Tech.degree (Electronic and Electrical Engineering) and Ph.D degree ( Power System Engineering and Machine) from Ladoke Akintola University of Technology (LAUTECH), Ogbomoso, Nigeria in 2010 and 2019 respectively. His researh interest are Renewable energy, Power system engineering, Hybrid, Small hydro and optimization.He is a resgistered COREN Engineer and a member of Nigerian Society of Engineers (MNSE). He is currently lecturing in the Electrical and Electronic Engineering department of Ekiti State University, Ado-Ekiti, Nigeria. Adewale Abe received the B.Eng.degree in Electrical and Electronic Engineering in 1999 from the then Ondo State University, Ado-Ekiti, Ekiti State, Nigeria (now Ekiti State University, Ado- Ekiti), M. Eng. degree (Electrical and Electronic Engineering) from University of Benin, Nigeria in 2005 and PhD degree ( Electronic System Engineering and Machine) from University of Essex, UK in 2018. His researh interest are Electronic and Telecommunication Engineering. He is a resgistered COREN Engineer and a member of Nigerian Society of Engineers (MNSE). He is Senior lecturer in the Electrical and Electronic Engineering department of Ekiti State University, Ado-Ekiti, Nigeria. Isiaka Ismail was born in Kano, Nigeria in 1976. He received the B. Eng degree in Electrical and Electronic Engineering from Ahmadu Bello University, Zaria, Nigeria in 2002 and M. Eng degree in Electronic and Communication Engineering from Ekiti State University, Ado Ekiti, Ekiti State, Nigeria in 2017. He is currently undergoing his PhD degree in Ladoke Akintola University of Technology, Ogbomosho, Nigeria. His research area is in speech recognition technology using artificial intelligence.