SlideShare a Scribd company logo
1 of 4
Download to read offline
International Journal of Scientific Research and Engineering Development-– Volume 2 Issue 5, Sep – Oct 2019
Available at www.ijsred.com
ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 1079
Application of Graphical User Interface (GUI) for Analysing
Voltage Instability of Electrical Power System Teaching and
Learning
AnasSyafiq Ahmad Wizan, Ahmad Fateh Mohamad Nor
Green and Sustainable Energy (GSEnergy) Focus Group, Faculty of Electrical and Electronic Engineering,UniversitiTun
Hussein Onn Malaysia, 86400 Parit Raja,BatuPahat, Johor, Malaysia
Email: afateh@uthm.edu.my
----------------------------------------************************----------------------------------
Abstract:
The research presented in this paper focuses on the development of a Graphical User Interface (GUI)
platform that can be used to perform the voltage instability analysis of electrical power system using
Modal Analysis Technique for teaching and learning application. The designed GUI platformhas the
ability to produce the Participation Factor (PF) of every load buses in the power system. PF shows the
tendency of a certain load bus towards experiencing voltage instability. The higher the PF of the load bus,
the higher the chance of the system towards experiencing voltage instability and vice versa. A three bus
system from HadiSaadat reference book and IEEE 14 bus system have been chosen as the test systems for
this research. The results have shown that for the 3-bus power system, Load Bus 2 has the highest PF
value. Meanwhile for the IEEE-14 bus system, Load Bus-14 has the highest PF value. The developed GUI
platform has the ability to produce all of these PF values. The GUI is done by using MATLAB Software.
The GUI platform is targeted for teaching and learning purposes especially for undergraduate engineering
students,postgraduate research students as well as junior engineers.
Keywords —Voltage Stability Analysis; Modal Analysis Technique; IEEE-14 Bus; MATLAB; GUI.
----------------------------------------************************----------------------------------
I. INTRODUCTION
Since the beginning of electrical power system
discovery, power systems blackoutshas been
acknowledged as one of the most serious problem
in the field of electrical power engineering. This is
due to the fact that power system blackouts can lead
to huge economic losses on top of disturbing the
electrical power distribution. According to [1]–
[3],common blackouts that occurred around the
world were caused by voltage instability in the
power system. A power system in considered
experiencing voltage instability when the power
system is not able to maintain the voltage values of
buses after the system is being exposed to a
disturbance [3], [4]. One of the disturbance that
force the power system to enter voltage instability
condition is usually the increasing of load demand
[5]. The modal analysis technique has the ability to
directly show which load buses that has the highest
tendency towards experiencing voltage instability
[6], [7]. However, the method to perform the modal
analysis technique consists of very detail and
intensive procedures and calculations. In order to
make the modal analysis technique smoother, a
graphical user interface (GUI) platform has been
RESEARCH ARTICLE OPEN ACCESS
International Journal of Scientific Research and Engineering Development-– Volume 2 Issue 5, Sep – Oct 2019
Available at www.ijsred.com
ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 1080
developed. This GUI has the ability to show the
result of the modal analysis. Previous research work
such as [8] has successfully developed a GUI
platform for analyzing voltage instability for a two
bus radial system. The GUI platform developed in
this project has the ability to analyze voltage
instability for a larger power system which is the
IEEE-14 bus system. The GUI platform package is
targeted for undergraduate engineering students,
postgraduate research students as well as junior
practicing engineers.In addition, GUI is a very
popular method that has been used by previous
researchers such as [9]–[12] for teaching and
learning application especially in the field of
engineering, science and mathematics.
II. METHODOLOGY
A. Menu
The first part of the GUI platform is the main
menu as depicted in Fig. 1. From the main menu the
user can choose to perform the voltage instability
Modal Analysis Technique for 3-bus system or for
IEEE-14 bus system.
Fig. 1 The main menu of the GUI platform
B. HadiSaadat 3-bus Power System
This 3-bus power system has been taken from
[13]. This power system consists of one slack bus
(Bus 1) and two load buses (Bus 2 and Bus 3). The
diagram of this power system that has been
integrated in the developed GUI platform is
illustrated Fig. 2.
Fig. 2Three-bus power system GUI window
C. IEEE 14-bus Power System
IEEE 14-bus test power system consists of one
slack bus (Bus 1), four voltage controlled buses
(Bus 2, Bus 3, Bus 6 and Bus 8) and nine load
buses (Bus 4, Bus 5, Bus 7 and Bus 9 until Bus 14)
[14]. Load buses is very important in voltage
stability analysis because the Participation Factor
(PF) values are on the load buses.Fig.3 shows the
GUI window that illustrates the IEEE-14 bus
system.
Fig. 3IEEE 14-bus power system GUI window
D. Modal Analysis Technique
The modal analysis technique was discovered by [7].
This technique’sobjective is to calculate the values of
eigenvalue and eigenvector of the reduced Jacobian
matrix (Jr). Jacobian matrix from the Newton Raphson
International Journal of Scientific Research and Engineering Development-– Volume 2 Issue 5, Sep – Oct 2019
Available at www.ijsred.com
ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 1081
power flow analysis method can be found during the
load flow analysisthat represents the injected real power
(P) and reactive power (Q) in buses as shown in
Equation (1)[2], [7], [13], [15].The Jr values for the
modal analysis technique can be obtained by letting the
value of ∆P in Eqn. 1 equals to 0. From here, the
participation factor (PF) can be obtained. The higher the
PF value, the higher the tendency of that particular load
bus to experiencing voltage instability. The details of
modal analysis technique can be found in[2], [6], [15].
∆
∆
=
∆
∆
Eq. 1
where
∆P is the incremental change in bus real power
∆Q is the incremental change in bus reactive power
∆δ is the incremental change in bus voltage angle
∆V is the incremental change in bus voltage magnitude
III. RESULTS AND DISCUSSION
Modal Analysis Technique has been applied to
both 3 and 14 bus systems. The results are
presented in the following sections.
A. PF for HadiSaadat 3-bus Power System
The modal analysis technique was performed upon
the HadiSaadat 3 bus system. The PF obtained from
this technique from the developed GUI platform is
depicted in Fig. 4.
Fig. 4PF of the 3 Bus System
Fig. 4 depicts that Bus 2 has the PF value of 0.55
and Bus 3 has PF value of 0.45. This shows that
between these two load buses, Bus 2 has higher
chance of experiencing voltage instability.
B. PF for IEEE 14-bus Power System
The modal analysis technique was performed
upon the IEEE-14 bus system. The PF obtained
from this technique from the developed GUI
platform is depicted in Fig. 5.
Fig. 5PF of the IEEE 14- Bus System
Fig. 5 depicts that Bus 14, Bus 10 and Bus 9 have
high participation factor with Bus 14 is the highest
which is 0.3190. This means that Bus 14 has the
highest tendency towards voltage instability. One
more important information that can be learned
from Figure 4 is that Bus 5 and Bus 4 are the two
most stable load buses in this power system.
IV. CONCLUSIONS
This project has shown that the developed GUI
has successfully shows the PF obtained from the
voltage instability modal analysis technique. For
future research works, this GUI can be expended to
perform voltage instability analysis for larger power
system as well as real power system data.
International Journal of Scientific Research and Engineering Development-– Volume 2 Issue 5, Sep – Oct 2019
Available at www.ijsred.com
ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 1082
ACKNOWLEDGMENT
The authors are grateful to the Green and
Sustainable Energy (GSEnergy) Focus Group,
Faculty of Electrical and Electronic Engineering,
UniversitiTun Hussein Onn Malaysia (UTHM) for
providing conducive research platform.
REFERENCES
[1] A. F. M. Nor, M. Sulaiman, A. F. A. Kadir, and R. Omar, “Voltage
Instability Analysis for Electrical Power System Using Voltage
Stabilty Margin and Modal Analysis,” Indonesian Journal of
Electrical Engineering and Computer Science, vol. 3, no. 3, pp.
655–662, 2016.
[2] Y. A. Mobarak, “Voltage Collapse Prediction for Egyptian
Interconnected Electrical Grid EIEG,” International Journal on
Electrical Engineering and Informatics, vol. 7, no. 1, pp. 79–88,
Mar. 2015.
[3] B. Poornazaryan, P. Karimyan, G. B. Gharehpetian, and M. Abedi,
“Optimal Allocation and Sizing of DG Units Considering Voltage
Stability, Losses and Load Variations,” International Journal of
Electrical Power and Energy Systems, vol. 79, pp. 42–52, 2016.
[4] A. F. M. Nor, M. Sulaiman, A. F. A. Kadir, and R. Omar,
“Classifications of Voltage Stability Margin (VSM) And Load
Power Margin (LPM) Using Probabilistic Neural Network (PNN),”
ARPN Journal of Engineering and Applied Sciences, vol. 12, no. 19,
pp. 5591–5596, 2017.
[5] S. M. Perez-Londono, G. Olivar-Tost, and J. J. Mora-Florez,
“Online Determination of Voltage Stability Weak Areas for
Situational Awareness Improvement,” Electric Power Systems
Research, vol. 145, pp. 112–121, 2017.
[6] A. F. M. Nor and M. Sulaiman, “Voltage Stability Assessment of
Power System Network using QV and PV Modal Analysis,”
Journal of Telecommunication, Electronic and Computer
Engineering (JTEC), vol. 8, no. 7, pp. 7–11, 2016.
[7] B. Gao, G. K. Morison, and P. Kundur, “Voltage Stability
Evaluation using Modal Analysis,” IEEE Transactions on Power
Systems, vol. 7, no. 4, pp. 1529–1542, 1992.
[8] Noor Ropidah Bujal, Marizan Sulaiman, and Rosli Omar, “A
Graphical User Interface (GUI) for Voltage Stability Analysis,” in
Conference In Education - Technical Vocational Education and
Training, 2014, pp. 1441–1461.
[9] I. Burhan, R. Othman, and A. A. Azman, “Development of Electro
Pneumatic Trainer Embedded with Programmable Integrated
Circuit (PIC) and Graphical User Interface (GUI) for Educational
Applications,” in IEEE International Conference on Automatic
Control and Intelligent Systems (I2CACIS), 2016, pp. 1–6.
[10] N. F. Naim et al., “Interactive Learning Software for Engineering
Subjects Based on MATLAB-GUI,” Journal of Telecommunication,
Electronic and Computer Engineering, vol. 8, no. 6, pp. 77–81,
2016.
[11] H. Ratu, P. Negara, V. Mandailina, and L. Sucipto, “Calculus
Problem Solution And Simulation Using GUI Of Matlab,”
INTERNATIONAL JOURNAL OF SCIENTIFIC & TECHNOLOGY
RESEARCH, vol. 6, no. 9, pp. 275–279, 2017.
[12] R. Moharil, P. Yeole, S. Gupta, and A. Kumar, “CSIT: An Open
Source and interactive GUI based tool for learning and analyzing
Control Systems,” in 11th International Conference on Intelligent
Systems and Control (ISCO), 2017, pp. 55–58.
[13] H. Saadat, Power System Analysis. Singapore: McGraw-Hill Inc.,
2004.
[14] M. A. Pai, Computer Techniques in Power System Analysis, Second
Edi. New Delhi: Tata McGraw-Hill, 2006.
[15] B. Telang and P. Khampariya, “Voltage Stability Evaluation Using
Modal Analysis,” International Journal of Scientific Research
Engineering & Technology (IJSRET), vol. 4, no. 4, pp. 408–411,
2015.

More Related Content

What's hot

A novel method for determining fixed running time in operating electric train...
A novel method for determining fixed running time in operating electric train...A novel method for determining fixed running time in operating electric train...
A novel method for determining fixed running time in operating electric train...
IJECEIAES
 
Optimal Siting of Distributed Generators in a Distribution Network using Arti...
Optimal Siting of Distributed Generators in a Distribution Network using Arti...Optimal Siting of Distributed Generators in a Distribution Network using Arti...
Optimal Siting of Distributed Generators in a Distribution Network using Arti...
IJECEIAES
 
Design and analysis of double stator HE-FSM for aircraft applications
Design and analysis of double stator HE-FSM for aircraft applicationsDesign and analysis of double stator HE-FSM for aircraft applications
Design and analysis of double stator HE-FSM for aircraft applications
International Journal of Power Electronics and Drive Systems
 
Optimal placement of custom power devices in power
Optimal placement of custom power devices in powerOptimal placement of custom power devices in power
Optimal placement of custom power devices in power
iaemedu
 

What's hot (17)

A novel method for determining fixed running time in operating electric train...
A novel method for determining fixed running time in operating electric train...A novel method for determining fixed running time in operating electric train...
A novel method for determining fixed running time in operating electric train...
 
Coordinated planning in improving power quality considering the use of nonlin...
Coordinated planning in improving power quality considering the use of nonlin...Coordinated planning in improving power quality considering the use of nonlin...
Coordinated planning in improving power quality considering the use of nonlin...
 
Deep segmentation of the liver and the hepatic tumors from abdomen tomography...
Deep segmentation of the liver and the hepatic tumors from abdomen tomography...Deep segmentation of the liver and the hepatic tumors from abdomen tomography...
Deep segmentation of the liver and the hepatic tumors from abdomen tomography...
 
Design and Control of Electric Power Train by Using Advanced Power Electronic...
Design and Control of Electric Power Train by Using Advanced Power Electronic...Design and Control of Electric Power Train by Using Advanced Power Electronic...
Design and Control of Electric Power Train by Using Advanced Power Electronic...
 
Network Reconfiguration of Distribution System for Loss Reduction Using GWO A...
Network Reconfiguration of Distribution System for Loss Reduction Using GWO A...Network Reconfiguration of Distribution System for Loss Reduction Using GWO A...
Network Reconfiguration of Distribution System for Loss Reduction Using GWO A...
 
Network Reconfiguration in Distribution Systems Using Harmony Search Algorithm
Network Reconfiguration in Distribution Systems Using Harmony Search AlgorithmNetwork Reconfiguration in Distribution Systems Using Harmony Search Algorithm
Network Reconfiguration in Distribution Systems Using Harmony Search Algorithm
 
Comparison of backstepping, sliding mode and PID regulators for a voltage inv...
Comparison of backstepping, sliding mode and PID regulators for a voltage inv...Comparison of backstepping, sliding mode and PID regulators for a voltage inv...
Comparison of backstepping, sliding mode and PID regulators for a voltage inv...
 
IRJET-Effect of Network Reconfiguration on Power Quality of Distribution System
IRJET-Effect of Network Reconfiguration on Power Quality of Distribution SystemIRJET-Effect of Network Reconfiguration on Power Quality of Distribution System
IRJET-Effect of Network Reconfiguration on Power Quality of Distribution System
 
IRJET- Blended Learning Method for Medium Power Transmission Line Performance...
IRJET- Blended Learning Method for Medium Power Transmission Line Performance...IRJET- Blended Learning Method for Medium Power Transmission Line Performance...
IRJET- Blended Learning Method for Medium Power Transmission Line Performance...
 
Heuristic remedial actions in the reliability assessment of high voltage dire...
Heuristic remedial actions in the reliability assessment of high voltage dire...Heuristic remedial actions in the reliability assessment of high voltage dire...
Heuristic remedial actions in the reliability assessment of high voltage dire...
 
Optimal Siting of Distributed Generators in a Distribution Network using Arti...
Optimal Siting of Distributed Generators in a Distribution Network using Arti...Optimal Siting of Distributed Generators in a Distribution Network using Arti...
Optimal Siting of Distributed Generators in a Distribution Network using Arti...
 
Design and analysis of double stator HE-FSM for aircraft applications
Design and analysis of double stator HE-FSM for aircraft applicationsDesign and analysis of double stator HE-FSM for aircraft applications
Design and analysis of double stator HE-FSM for aircraft applications
 
Design methodology of smart photovoltaic plant
Design methodology of smart photovoltaic plant Design methodology of smart photovoltaic plant
Design methodology of smart photovoltaic plant
 
Ga based optimal facts controller for maximizing loadability with stability c...
Ga based optimal facts controller for maximizing loadability with stability c...Ga based optimal facts controller for maximizing loadability with stability c...
Ga based optimal facts controller for maximizing loadability with stability c...
 
IRJET - Dynamic Wireless Electric Vehicle Charging System for Safe and Pr...
IRJET -  	  Dynamic Wireless Electric Vehicle Charging System for Safe and Pr...IRJET -  	  Dynamic Wireless Electric Vehicle Charging System for Safe and Pr...
IRJET - Dynamic Wireless Electric Vehicle Charging System for Safe and Pr...
 
Smfir technology based transportation system and applicability of mppt
Smfir technology based transportation system and applicability of mpptSmfir technology based transportation system and applicability of mppt
Smfir technology based transportation system and applicability of mppt
 
Optimal placement of custom power devices in power
Optimal placement of custom power devices in powerOptimal placement of custom power devices in power
Optimal placement of custom power devices in power
 

Similar to Application of Graphical User Interface (GUI) for Analysing Voltage Instability of Electrical Power System Teaching and Learning

Paper id 37201503
Paper id 37201503Paper id 37201503
Paper id 37201503
IJRAT
 
Improvement of Power Quality by using Advanced Reactive Power Compensation
Improvement of Power Quality by using Advanced Reactive Power CompensationImprovement of Power Quality by using Advanced Reactive Power Compensation
Improvement of Power Quality by using Advanced Reactive Power Compensation
ijtsrd
 
MOHAMMED OVAIZ_Resume -Industry
MOHAMMED OVAIZ_Resume -IndustryMOHAMMED OVAIZ_Resume -Industry
MOHAMMED OVAIZ_Resume -Industry
Mohammed Ovaiz
 

Similar to Application of Graphical User Interface (GUI) for Analysing Voltage Instability of Electrical Power System Teaching and Learning (20)

Optimum allocation of distributed generation by load flow analysis method a c...
Optimum allocation of distributed generation by load flow analysis method a c...Optimum allocation of distributed generation by load flow analysis method a c...
Optimum allocation of distributed generation by load flow analysis method a c...
 
Application of Graphical User Interface (GUI) for Sizing a Stand-alone Hybrid...
Application of Graphical User Interface (GUI) for Sizing a Stand-alone Hybrid...Application of Graphical User Interface (GUI) for Sizing a Stand-alone Hybrid...
Application of Graphical User Interface (GUI) for Sizing a Stand-alone Hybrid...
 
IRJET- Voltage Stability, Loadability and Contingency Analysis with Optimal I...
IRJET- Voltage Stability, Loadability and Contingency Analysis with Optimal I...IRJET- Voltage Stability, Loadability and Contingency Analysis with Optimal I...
IRJET- Voltage Stability, Loadability and Contingency Analysis with Optimal I...
 
IRJET- Improvement of Voltage Stability by Placing UPFC using Fuzzy Logic
IRJET- Improvement of Voltage Stability by Placing UPFC using Fuzzy LogicIRJET- Improvement of Voltage Stability by Placing UPFC using Fuzzy Logic
IRJET- Improvement of Voltage Stability by Placing UPFC using Fuzzy Logic
 
IRJET- Power Flow Analysis of 30 Bus System using Different Methods
IRJET-  	  Power Flow Analysis of 30 Bus System using Different MethodsIRJET-  	  Power Flow Analysis of 30 Bus System using Different Methods
IRJET- Power Flow Analysis of 30 Bus System using Different Methods
 
Paper id 37201503
Paper id 37201503Paper id 37201503
Paper id 37201503
 
Capacitor bank controller using artificial neural network with closed-loop sy...
Capacitor bank controller using artificial neural network with closed-loop sy...Capacitor bank controller using artificial neural network with closed-loop sy...
Capacitor bank controller using artificial neural network with closed-loop sy...
 
Investigation of overvoltage on square, rectangular and L-shaped ground grid...
Investigation of overvoltage on square, rectangular and  L-shaped ground grid...Investigation of overvoltage on square, rectangular and  L-shaped ground grid...
Investigation of overvoltage on square, rectangular and L-shaped ground grid...
 
STUDY AND ANALYSIS OF PROTECTION SCHEME OF DIGITAL SUBSTATION USING IEC61850-...
STUDY AND ANALYSIS OF PROTECTION SCHEME OF DIGITAL SUBSTATION USING IEC61850-...STUDY AND ANALYSIS OF PROTECTION SCHEME OF DIGITAL SUBSTATION USING IEC61850-...
STUDY AND ANALYSIS OF PROTECTION SCHEME OF DIGITAL SUBSTATION USING IEC61850-...
 
Improvement of Power Quality by using Advanced Reactive Power Compensation
Improvement of Power Quality by using Advanced Reactive Power CompensationImprovement of Power Quality by using Advanced Reactive Power Compensation
Improvement of Power Quality by using Advanced Reactive Power Compensation
 
A New Under-Frequency Load Shedding Method Using the Voltage Electrical Dista...
A New Under-Frequency Load Shedding Method Using the Voltage Electrical Dista...A New Under-Frequency Load Shedding Method Using the Voltage Electrical Dista...
A New Under-Frequency Load Shedding Method Using the Voltage Electrical Dista...
 
IRJET- Review Paper on Residential Grid Connected Photovoltaic System using M...
IRJET- Review Paper on Residential Grid Connected Photovoltaic System using M...IRJET- Review Paper on Residential Grid Connected Photovoltaic System using M...
IRJET- Review Paper on Residential Grid Connected Photovoltaic System using M...
 
MOHAMMED OVAIZ_Resume -Industry
MOHAMMED OVAIZ_Resume -IndustryMOHAMMED OVAIZ_Resume -Industry
MOHAMMED OVAIZ_Resume -Industry
 
20120140502013
2012014050201320120140502013
20120140502013
 
Machine learning for prediction models to mitigate the voltage deviation in ...
Machine learning for prediction models to mitigate the voltage  deviation in ...Machine learning for prediction models to mitigate the voltage  deviation in ...
Machine learning for prediction models to mitigate the voltage deviation in ...
 
Control of Grid Connected PV Inverter using LMF Adaptive Method
Control of Grid Connected PV Inverter using LMF Adaptive MethodControl of Grid Connected PV Inverter using LMF Adaptive Method
Control of Grid Connected PV Inverter using LMF Adaptive Method
 
IRJET- Multi-Level Inverter for Solar On-Grid System Design
IRJET- Multi-Level Inverter for Solar On-Grid System DesignIRJET- Multi-Level Inverter for Solar On-Grid System Design
IRJET- Multi-Level Inverter for Solar On-Grid System Design
 
Perturb and observe maximum power point tracking for photovoltaic cell
Perturb and observe maximum power point tracking for photovoltaic cellPerturb and observe maximum power point tracking for photovoltaic cell
Perturb and observe maximum power point tracking for photovoltaic cell
 
40220140503005
4022014050300540220140503005
40220140503005
 
Improving efficiency of Photovoltaic System with Neural Network Based MPPT Co...
Improving efficiency of Photovoltaic System with Neural Network Based MPPT Co...Improving efficiency of Photovoltaic System with Neural Network Based MPPT Co...
Improving efficiency of Photovoltaic System with Neural Network Based MPPT Co...
 

More from IJSRED

BigBasket encashing the Demonetisation: A big opportunity
BigBasket encashing the Demonetisation: A big opportunityBigBasket encashing the Demonetisation: A big opportunity
BigBasket encashing the Demonetisation: A big opportunity
IJSRED
 
Quantitative and Qualitative Analysis of Plant Leaf Disease
Quantitative and Qualitative Analysis of Plant Leaf DiseaseQuantitative and Qualitative Analysis of Plant Leaf Disease
Quantitative and Qualitative Analysis of Plant Leaf Disease
IJSRED
 
DC Fast Charger and Battery Management System for Electric Vehicles
DC Fast Charger and Battery Management System for Electric VehiclesDC Fast Charger and Battery Management System for Electric Vehicles
DC Fast Charger and Battery Management System for Electric Vehicles
IJSRED
 
Parallelization of Graceful Labeling Using Open MP
Parallelization of Graceful Labeling Using Open MPParallelization of Graceful Labeling Using Open MP
Parallelization of Graceful Labeling Using Open MP
IJSRED
 
Study of Phenotypic Plasticity of Fruits of Luffa Acutangula Var. Amara
Study of Phenotypic Plasticity of  Fruits of Luffa Acutangula Var. AmaraStudy of Phenotypic Plasticity of  Fruits of Luffa Acutangula Var. Amara
Study of Phenotypic Plasticity of Fruits of Luffa Acutangula Var. Amara
IJSRED
 
An Emperical Study of Learning How Soft Skills is Essential for Management St...
An Emperical Study of Learning How Soft Skills is Essential for Management St...An Emperical Study of Learning How Soft Skills is Essential for Management St...
An Emperical Study of Learning How Soft Skills is Essential for Management St...
IJSRED
 
Impacts of a New Spatial Variable on a Black Hole Metric Solution
Impacts of a New Spatial Variable on a Black Hole Metric SolutionImpacts of a New Spatial Variable on a Black Hole Metric Solution
Impacts of a New Spatial Variable on a Black Hole Metric Solution
IJSRED
 
A Study to Assess the Effectiveness of Planned Teaching Programme on Knowledg...
A Study to Assess the Effectiveness of Planned Teaching Programme on Knowledg...A Study to Assess the Effectiveness of Planned Teaching Programme on Knowledg...
A Study to Assess the Effectiveness of Planned Teaching Programme on Knowledg...
IJSRED
 
Functions of Forensic Engineering Investigator in India
Functions of Forensic Engineering Investigator in IndiaFunctions of Forensic Engineering Investigator in India
Functions of Forensic Engineering Investigator in India
IJSRED
 
Participation Politique Feminine En Competition Électorale Au Congo-Kinshasa....
Participation Politique Feminine En Competition Électorale Au Congo-Kinshasa....Participation Politique Feminine En Competition Électorale Au Congo-Kinshasa....
Participation Politique Feminine En Competition Électorale Au Congo-Kinshasa....
IJSRED
 

More from IJSRED (20)

IJSRED-V3I6P13
IJSRED-V3I6P13IJSRED-V3I6P13
IJSRED-V3I6P13
 
School Bus Tracking and Security System
School Bus Tracking and Security SystemSchool Bus Tracking and Security System
School Bus Tracking and Security System
 
BigBasket encashing the Demonetisation: A big opportunity
BigBasket encashing the Demonetisation: A big opportunityBigBasket encashing the Demonetisation: A big opportunity
BigBasket encashing the Demonetisation: A big opportunity
 
Quantitative and Qualitative Analysis of Plant Leaf Disease
Quantitative and Qualitative Analysis of Plant Leaf DiseaseQuantitative and Qualitative Analysis of Plant Leaf Disease
Quantitative and Qualitative Analysis of Plant Leaf Disease
 
DC Fast Charger and Battery Management System for Electric Vehicles
DC Fast Charger and Battery Management System for Electric VehiclesDC Fast Charger and Battery Management System for Electric Vehicles
DC Fast Charger and Battery Management System for Electric Vehicles
 
Growth Path Followed by France
Growth Path Followed by FranceGrowth Path Followed by France
Growth Path Followed by France
 
Acquisition System
Acquisition SystemAcquisition System
Acquisition System
 
Parallelization of Graceful Labeling Using Open MP
Parallelization of Graceful Labeling Using Open MPParallelization of Graceful Labeling Using Open MP
Parallelization of Graceful Labeling Using Open MP
 
Study of Phenotypic Plasticity of Fruits of Luffa Acutangula Var. Amara
Study of Phenotypic Plasticity of  Fruits of Luffa Acutangula Var. AmaraStudy of Phenotypic Plasticity of  Fruits of Luffa Acutangula Var. Amara
Study of Phenotypic Plasticity of Fruits of Luffa Acutangula Var. Amara
 
Understanding Architecture of Internet of Things
Understanding Architecture of Internet of ThingsUnderstanding Architecture of Internet of Things
Understanding Architecture of Internet of Things
 
Smart shopping cart
Smart shopping cartSmart shopping cart
Smart shopping cart
 
An Emperical Study of Learning How Soft Skills is Essential for Management St...
An Emperical Study of Learning How Soft Skills is Essential for Management St...An Emperical Study of Learning How Soft Skills is Essential for Management St...
An Emperical Study of Learning How Soft Skills is Essential for Management St...
 
Smart Canteen Management
Smart Canteen ManagementSmart Canteen Management
Smart Canteen Management
 
Gandhian trusteeship and Economic Ethics
Gandhian trusteeship and Economic EthicsGandhian trusteeship and Economic Ethics
Gandhian trusteeship and Economic Ethics
 
Impacts of a New Spatial Variable on a Black Hole Metric Solution
Impacts of a New Spatial Variable on a Black Hole Metric SolutionImpacts of a New Spatial Variable on a Black Hole Metric Solution
Impacts of a New Spatial Variable on a Black Hole Metric Solution
 
A Study to Assess the Effectiveness of Planned Teaching Programme on Knowledg...
A Study to Assess the Effectiveness of Planned Teaching Programme on Knowledg...A Study to Assess the Effectiveness of Planned Teaching Programme on Knowledg...
A Study to Assess the Effectiveness of Planned Teaching Programme on Knowledg...
 
Inginious Trafalgar Contrivition System
Inginious Trafalgar Contrivition SystemInginious Trafalgar Contrivition System
Inginious Trafalgar Contrivition System
 
Farmer's Analytical assistant
Farmer's Analytical assistantFarmer's Analytical assistant
Farmer's Analytical assistant
 
Functions of Forensic Engineering Investigator in India
Functions of Forensic Engineering Investigator in IndiaFunctions of Forensic Engineering Investigator in India
Functions of Forensic Engineering Investigator in India
 
Participation Politique Feminine En Competition Électorale Au Congo-Kinshasa....
Participation Politique Feminine En Competition Électorale Au Congo-Kinshasa....Participation Politique Feminine En Competition Électorale Au Congo-Kinshasa....
Participation Politique Feminine En Competition Électorale Au Congo-Kinshasa....
 

Recently uploaded

Integrated Test Rig For HTFE-25 - Neometrix
Integrated Test Rig For HTFE-25 - NeometrixIntegrated Test Rig For HTFE-25 - Neometrix
Integrated Test Rig For HTFE-25 - Neometrix
Neometrix_Engineering_Pvt_Ltd
 
Standard vs Custom Battery Packs - Decoding the Power Play
Standard vs Custom Battery Packs - Decoding the Power PlayStandard vs Custom Battery Packs - Decoding the Power Play
Standard vs Custom Battery Packs - Decoding the Power Play
Epec Engineered Technologies
 
notes on Evolution Of Analytic Scalability.ppt
notes on Evolution Of Analytic Scalability.pptnotes on Evolution Of Analytic Scalability.ppt
notes on Evolution Of Analytic Scalability.ppt
MsecMca
 
Top Rated Call Girls In chittoor 📱 {7001035870} VIP Escorts chittoor
Top Rated Call Girls In chittoor 📱 {7001035870} VIP Escorts chittoorTop Rated Call Girls In chittoor 📱 {7001035870} VIP Escorts chittoor
Top Rated Call Girls In chittoor 📱 {7001035870} VIP Escorts chittoor
dharasingh5698
 
Call Girls In Bangalore ☎ 7737669865 🥵 Book Your One night Stand
Call Girls In Bangalore ☎ 7737669865 🥵 Book Your One night StandCall Girls In Bangalore ☎ 7737669865 🥵 Book Your One night Stand
Call Girls In Bangalore ☎ 7737669865 🥵 Book Your One night Stand
amitlee9823
 
FULL ENJOY Call Girls In Mahipalpur Delhi Contact Us 8377877756
FULL ENJOY Call Girls In Mahipalpur Delhi Contact Us 8377877756FULL ENJOY Call Girls In Mahipalpur Delhi Contact Us 8377877756
FULL ENJOY Call Girls In Mahipalpur Delhi Contact Us 8377877756
dollysharma2066
 
VIP Call Girls Ankleshwar 7001035870 Whatsapp Number, 24/07 Booking
VIP Call Girls Ankleshwar 7001035870 Whatsapp Number, 24/07 BookingVIP Call Girls Ankleshwar 7001035870 Whatsapp Number, 24/07 Booking
VIP Call Girls Ankleshwar 7001035870 Whatsapp Number, 24/07 Booking
dharasingh5698
 
Call Girls in Netaji Nagar, Delhi 💯 Call Us 🔝9953056974 🔝 Escort Service
Call Girls in Netaji Nagar, Delhi 💯 Call Us 🔝9953056974 🔝 Escort ServiceCall Girls in Netaji Nagar, Delhi 💯 Call Us 🔝9953056974 🔝 Escort Service
Call Girls in Netaji Nagar, Delhi 💯 Call Us 🔝9953056974 🔝 Escort Service
9953056974 Low Rate Call Girls In Saket, Delhi NCR
 

Recently uploaded (20)

Work-Permit-Receiver-in-Saudi-Aramco.pptx
Work-Permit-Receiver-in-Saudi-Aramco.pptxWork-Permit-Receiver-in-Saudi-Aramco.pptx
Work-Permit-Receiver-in-Saudi-Aramco.pptx
 
Design For Accessibility: Getting it right from the start
Design For Accessibility: Getting it right from the startDesign For Accessibility: Getting it right from the start
Design For Accessibility: Getting it right from the start
 
ONLINE FOOD ORDER SYSTEM PROJECT REPORT.pdf
ONLINE FOOD ORDER SYSTEM PROJECT REPORT.pdfONLINE FOOD ORDER SYSTEM PROJECT REPORT.pdf
ONLINE FOOD ORDER SYSTEM PROJECT REPORT.pdf
 
Integrated Test Rig For HTFE-25 - Neometrix
Integrated Test Rig For HTFE-25 - NeometrixIntegrated Test Rig For HTFE-25 - Neometrix
Integrated Test Rig For HTFE-25 - Neometrix
 
Standard vs Custom Battery Packs - Decoding the Power Play
Standard vs Custom Battery Packs - Decoding the Power PlayStandard vs Custom Battery Packs - Decoding the Power Play
Standard vs Custom Battery Packs - Decoding the Power Play
 
Thermal Engineering -unit - III & IV.ppt
Thermal Engineering -unit - III & IV.pptThermal Engineering -unit - III & IV.ppt
Thermal Engineering -unit - III & IV.ppt
 
notes on Evolution Of Analytic Scalability.ppt
notes on Evolution Of Analytic Scalability.pptnotes on Evolution Of Analytic Scalability.ppt
notes on Evolution Of Analytic Scalability.ppt
 
Top Rated Call Girls In chittoor 📱 {7001035870} VIP Escorts chittoor
Top Rated Call Girls In chittoor 📱 {7001035870} VIP Escorts chittoorTop Rated Call Girls In chittoor 📱 {7001035870} VIP Escorts chittoor
Top Rated Call Girls In chittoor 📱 {7001035870} VIP Escorts chittoor
 
Call Girls In Bangalore ☎ 7737669865 🥵 Book Your One night Stand
Call Girls In Bangalore ☎ 7737669865 🥵 Book Your One night StandCall Girls In Bangalore ☎ 7737669865 🥵 Book Your One night Stand
Call Girls In Bangalore ☎ 7737669865 🥵 Book Your One night Stand
 
FULL ENJOY Call Girls In Mahipalpur Delhi Contact Us 8377877756
FULL ENJOY Call Girls In Mahipalpur Delhi Contact Us 8377877756FULL ENJOY Call Girls In Mahipalpur Delhi Contact Us 8377877756
FULL ENJOY Call Girls In Mahipalpur Delhi Contact Us 8377877756
 
chapter 5.pptx: drainage and irrigation engineering
chapter 5.pptx: drainage and irrigation engineeringchapter 5.pptx: drainage and irrigation engineering
chapter 5.pptx: drainage and irrigation engineering
 
Call Girls Wakad Call Me 7737669865 Budget Friendly No Advance Booking
Call Girls Wakad Call Me 7737669865 Budget Friendly No Advance BookingCall Girls Wakad Call Me 7737669865 Budget Friendly No Advance Booking
Call Girls Wakad Call Me 7737669865 Budget Friendly No Advance Booking
 
Bhosari ( Call Girls ) Pune 6297143586 Hot Model With Sexy Bhabi Ready For ...
Bhosari ( Call Girls ) Pune  6297143586  Hot Model With Sexy Bhabi Ready For ...Bhosari ( Call Girls ) Pune  6297143586  Hot Model With Sexy Bhabi Ready For ...
Bhosari ( Call Girls ) Pune 6297143586 Hot Model With Sexy Bhabi Ready For ...
 
Hostel management system project report..pdf
Hostel management system project report..pdfHostel management system project report..pdf
Hostel management system project report..pdf
 
VIP Call Girls Ankleshwar 7001035870 Whatsapp Number, 24/07 Booking
VIP Call Girls Ankleshwar 7001035870 Whatsapp Number, 24/07 BookingVIP Call Girls Ankleshwar 7001035870 Whatsapp Number, 24/07 Booking
VIP Call Girls Ankleshwar 7001035870 Whatsapp Number, 24/07 Booking
 
COST-EFFETIVE and Energy Efficient BUILDINGS ptx
COST-EFFETIVE  and Energy Efficient BUILDINGS ptxCOST-EFFETIVE  and Energy Efficient BUILDINGS ptx
COST-EFFETIVE and Energy Efficient BUILDINGS ptx
 
Navigating Complexity: The Role of Trusted Partners and VIAS3D in Dassault Sy...
Navigating Complexity: The Role of Trusted Partners and VIAS3D in Dassault Sy...Navigating Complexity: The Role of Trusted Partners and VIAS3D in Dassault Sy...
Navigating Complexity: The Role of Trusted Partners and VIAS3D in Dassault Sy...
 
Call Girls in Netaji Nagar, Delhi 💯 Call Us 🔝9953056974 🔝 Escort Service
Call Girls in Netaji Nagar, Delhi 💯 Call Us 🔝9953056974 🔝 Escort ServiceCall Girls in Netaji Nagar, Delhi 💯 Call Us 🔝9953056974 🔝 Escort Service
Call Girls in Netaji Nagar, Delhi 💯 Call Us 🔝9953056974 🔝 Escort Service
 
DC MACHINE-Motoring and generation, Armature circuit equation
DC MACHINE-Motoring and generation, Armature circuit equationDC MACHINE-Motoring and generation, Armature circuit equation
DC MACHINE-Motoring and generation, Armature circuit equation
 
Thermal Engineering Unit - I & II . ppt
Thermal Engineering  Unit - I & II . pptThermal Engineering  Unit - I & II . ppt
Thermal Engineering Unit - I & II . ppt
 

Application of Graphical User Interface (GUI) for Analysing Voltage Instability of Electrical Power System Teaching and Learning

  • 1. International Journal of Scientific Research and Engineering Development-– Volume 2 Issue 5, Sep – Oct 2019 Available at www.ijsred.com ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 1079 Application of Graphical User Interface (GUI) for Analysing Voltage Instability of Electrical Power System Teaching and Learning AnasSyafiq Ahmad Wizan, Ahmad Fateh Mohamad Nor Green and Sustainable Energy (GSEnergy) Focus Group, Faculty of Electrical and Electronic Engineering,UniversitiTun Hussein Onn Malaysia, 86400 Parit Raja,BatuPahat, Johor, Malaysia Email: afateh@uthm.edu.my ----------------------------------------************************---------------------------------- Abstract: The research presented in this paper focuses on the development of a Graphical User Interface (GUI) platform that can be used to perform the voltage instability analysis of electrical power system using Modal Analysis Technique for teaching and learning application. The designed GUI platformhas the ability to produce the Participation Factor (PF) of every load buses in the power system. PF shows the tendency of a certain load bus towards experiencing voltage instability. The higher the PF of the load bus, the higher the chance of the system towards experiencing voltage instability and vice versa. A three bus system from HadiSaadat reference book and IEEE 14 bus system have been chosen as the test systems for this research. The results have shown that for the 3-bus power system, Load Bus 2 has the highest PF value. Meanwhile for the IEEE-14 bus system, Load Bus-14 has the highest PF value. The developed GUI platform has the ability to produce all of these PF values. The GUI is done by using MATLAB Software. The GUI platform is targeted for teaching and learning purposes especially for undergraduate engineering students,postgraduate research students as well as junior engineers. Keywords —Voltage Stability Analysis; Modal Analysis Technique; IEEE-14 Bus; MATLAB; GUI. ----------------------------------------************************---------------------------------- I. INTRODUCTION Since the beginning of electrical power system discovery, power systems blackoutshas been acknowledged as one of the most serious problem in the field of electrical power engineering. This is due to the fact that power system blackouts can lead to huge economic losses on top of disturbing the electrical power distribution. According to [1]– [3],common blackouts that occurred around the world were caused by voltage instability in the power system. A power system in considered experiencing voltage instability when the power system is not able to maintain the voltage values of buses after the system is being exposed to a disturbance [3], [4]. One of the disturbance that force the power system to enter voltage instability condition is usually the increasing of load demand [5]. The modal analysis technique has the ability to directly show which load buses that has the highest tendency towards experiencing voltage instability [6], [7]. However, the method to perform the modal analysis technique consists of very detail and intensive procedures and calculations. In order to make the modal analysis technique smoother, a graphical user interface (GUI) platform has been RESEARCH ARTICLE OPEN ACCESS
  • 2. International Journal of Scientific Research and Engineering Development-– Volume 2 Issue 5, Sep – Oct 2019 Available at www.ijsred.com ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 1080 developed. This GUI has the ability to show the result of the modal analysis. Previous research work such as [8] has successfully developed a GUI platform for analyzing voltage instability for a two bus radial system. The GUI platform developed in this project has the ability to analyze voltage instability for a larger power system which is the IEEE-14 bus system. The GUI platform package is targeted for undergraduate engineering students, postgraduate research students as well as junior practicing engineers.In addition, GUI is a very popular method that has been used by previous researchers such as [9]–[12] for teaching and learning application especially in the field of engineering, science and mathematics. II. METHODOLOGY A. Menu The first part of the GUI platform is the main menu as depicted in Fig. 1. From the main menu the user can choose to perform the voltage instability Modal Analysis Technique for 3-bus system or for IEEE-14 bus system. Fig. 1 The main menu of the GUI platform B. HadiSaadat 3-bus Power System This 3-bus power system has been taken from [13]. This power system consists of one slack bus (Bus 1) and two load buses (Bus 2 and Bus 3). The diagram of this power system that has been integrated in the developed GUI platform is illustrated Fig. 2. Fig. 2Three-bus power system GUI window C. IEEE 14-bus Power System IEEE 14-bus test power system consists of one slack bus (Bus 1), four voltage controlled buses (Bus 2, Bus 3, Bus 6 and Bus 8) and nine load buses (Bus 4, Bus 5, Bus 7 and Bus 9 until Bus 14) [14]. Load buses is very important in voltage stability analysis because the Participation Factor (PF) values are on the load buses.Fig.3 shows the GUI window that illustrates the IEEE-14 bus system. Fig. 3IEEE 14-bus power system GUI window D. Modal Analysis Technique The modal analysis technique was discovered by [7]. This technique’sobjective is to calculate the values of eigenvalue and eigenvector of the reduced Jacobian matrix (Jr). Jacobian matrix from the Newton Raphson
  • 3. International Journal of Scientific Research and Engineering Development-– Volume 2 Issue 5, Sep – Oct 2019 Available at www.ijsred.com ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 1081 power flow analysis method can be found during the load flow analysisthat represents the injected real power (P) and reactive power (Q) in buses as shown in Equation (1)[2], [7], [13], [15].The Jr values for the modal analysis technique can be obtained by letting the value of ∆P in Eqn. 1 equals to 0. From here, the participation factor (PF) can be obtained. The higher the PF value, the higher the tendency of that particular load bus to experiencing voltage instability. The details of modal analysis technique can be found in[2], [6], [15]. ∆ ∆ = ∆ ∆ Eq. 1 where ∆P is the incremental change in bus real power ∆Q is the incremental change in bus reactive power ∆δ is the incremental change in bus voltage angle ∆V is the incremental change in bus voltage magnitude III. RESULTS AND DISCUSSION Modal Analysis Technique has been applied to both 3 and 14 bus systems. The results are presented in the following sections. A. PF for HadiSaadat 3-bus Power System The modal analysis technique was performed upon the HadiSaadat 3 bus system. The PF obtained from this technique from the developed GUI platform is depicted in Fig. 4. Fig. 4PF of the 3 Bus System Fig. 4 depicts that Bus 2 has the PF value of 0.55 and Bus 3 has PF value of 0.45. This shows that between these two load buses, Bus 2 has higher chance of experiencing voltage instability. B. PF for IEEE 14-bus Power System The modal analysis technique was performed upon the IEEE-14 bus system. The PF obtained from this technique from the developed GUI platform is depicted in Fig. 5. Fig. 5PF of the IEEE 14- Bus System Fig. 5 depicts that Bus 14, Bus 10 and Bus 9 have high participation factor with Bus 14 is the highest which is 0.3190. This means that Bus 14 has the highest tendency towards voltage instability. One more important information that can be learned from Figure 4 is that Bus 5 and Bus 4 are the two most stable load buses in this power system. IV. CONCLUSIONS This project has shown that the developed GUI has successfully shows the PF obtained from the voltage instability modal analysis technique. For future research works, this GUI can be expended to perform voltage instability analysis for larger power system as well as real power system data.
  • 4. International Journal of Scientific Research and Engineering Development-– Volume 2 Issue 5, Sep – Oct 2019 Available at www.ijsred.com ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 1082 ACKNOWLEDGMENT The authors are grateful to the Green and Sustainable Energy (GSEnergy) Focus Group, Faculty of Electrical and Electronic Engineering, UniversitiTun Hussein Onn Malaysia (UTHM) for providing conducive research platform. REFERENCES [1] A. F. M. Nor, M. Sulaiman, A. F. A. Kadir, and R. Omar, “Voltage Instability Analysis for Electrical Power System Using Voltage Stabilty Margin and Modal Analysis,” Indonesian Journal of Electrical Engineering and Computer Science, vol. 3, no. 3, pp. 655–662, 2016. [2] Y. A. Mobarak, “Voltage Collapse Prediction for Egyptian Interconnected Electrical Grid EIEG,” International Journal on Electrical Engineering and Informatics, vol. 7, no. 1, pp. 79–88, Mar. 2015. [3] B. Poornazaryan, P. Karimyan, G. B. Gharehpetian, and M. Abedi, “Optimal Allocation and Sizing of DG Units Considering Voltage Stability, Losses and Load Variations,” International Journal of Electrical Power and Energy Systems, vol. 79, pp. 42–52, 2016. [4] A. F. M. Nor, M. Sulaiman, A. F. A. Kadir, and R. Omar, “Classifications of Voltage Stability Margin (VSM) And Load Power Margin (LPM) Using Probabilistic Neural Network (PNN),” ARPN Journal of Engineering and Applied Sciences, vol. 12, no. 19, pp. 5591–5596, 2017. [5] S. M. Perez-Londono, G. Olivar-Tost, and J. J. Mora-Florez, “Online Determination of Voltage Stability Weak Areas for Situational Awareness Improvement,” Electric Power Systems Research, vol. 145, pp. 112–121, 2017. [6] A. F. M. Nor and M. Sulaiman, “Voltage Stability Assessment of Power System Network using QV and PV Modal Analysis,” Journal of Telecommunication, Electronic and Computer Engineering (JTEC), vol. 8, no. 7, pp. 7–11, 2016. [7] B. Gao, G. K. Morison, and P. Kundur, “Voltage Stability Evaluation using Modal Analysis,” IEEE Transactions on Power Systems, vol. 7, no. 4, pp. 1529–1542, 1992. [8] Noor Ropidah Bujal, Marizan Sulaiman, and Rosli Omar, “A Graphical User Interface (GUI) for Voltage Stability Analysis,” in Conference In Education - Technical Vocational Education and Training, 2014, pp. 1441–1461. [9] I. Burhan, R. Othman, and A. A. Azman, “Development of Electro Pneumatic Trainer Embedded with Programmable Integrated Circuit (PIC) and Graphical User Interface (GUI) for Educational Applications,” in IEEE International Conference on Automatic Control and Intelligent Systems (I2CACIS), 2016, pp. 1–6. [10] N. F. Naim et al., “Interactive Learning Software for Engineering Subjects Based on MATLAB-GUI,” Journal of Telecommunication, Electronic and Computer Engineering, vol. 8, no. 6, pp. 77–81, 2016. [11] H. Ratu, P. Negara, V. Mandailina, and L. Sucipto, “Calculus Problem Solution And Simulation Using GUI Of Matlab,” INTERNATIONAL JOURNAL OF SCIENTIFIC & TECHNOLOGY RESEARCH, vol. 6, no. 9, pp. 275–279, 2017. [12] R. Moharil, P. Yeole, S. Gupta, and A. Kumar, “CSIT: An Open Source and interactive GUI based tool for learning and analyzing Control Systems,” in 11th International Conference on Intelligent Systems and Control (ISCO), 2017, pp. 55–58. [13] H. Saadat, Power System Analysis. Singapore: McGraw-Hill Inc., 2004. [14] M. A. Pai, Computer Techniques in Power System Analysis, Second Edi. New Delhi: Tata McGraw-Hill, 2006. [15] B. Telang and P. Khampariya, “Voltage Stability Evaluation Using Modal Analysis,” International Journal of Scientific Research Engineering & Technology (IJSRET), vol. 4, no. 4, pp. 408–411, 2015.