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International Journal of
Science and Engineering Investigations vol. 9, issue 107, December 2020
ISSN: 2251-8843Received on December 24, 2020
Compensation of Low Frequency AC Overhead Transmission
Lines Using STATCOM
Aamir Saleem1
, Nasrullah Khan2
, Anum Kalair3
1,2
Department of Electrical and Computer Engineering, COMSATS University Islamabad, Pakistan
(1
studyzone333@gmail.com, 2
nasrullahk@comsats.edu.pk)
Abstract- Voltage instability is one of the major issue in
HVAC power network operating at 50 Hz frequency due to
limited power transfer capability and distance limit. The stable
operation of power system must be kept within limits to
increase the efficiency of power transmission system. In this
research Low Frequency AC (LFAC) transmission system has
been proposed as a new power transmission technology to
reduce the losses of transmission network and controlling the
reactive power using Flexible AC transmission device. A
LFAC Transmission lines operates at 16.7Hz frequency for
transmission of power from source to load and use two
Frequency converters at source and load side. The normal
operation of power system depends on the reactive power
flowing through the power transmission lines, which can be
adjusted by a flexible AC transmission device; Static
synchronous compensator. LFAC transmission lines with
STATCOM controller improve the Power system voltage
stability under various disturbances and enhance the power
transmission capability as compare to HVAC transmission.
The simulations are done in Matlab Simulink 2017a .The
Output of Matlab Simulink model shows that voltage will
become Stable and reactive power is compensated for best
performance for power system.
Keywords-Low Frequency AC (LFAC) Transmission, Power
System Analysis, Back to Back Frequency Converter, Static
Synchronous Compensator (STATCOM)
I. INTRODUCTION
Power system is a multi-part system comprise of
generators, transformers, transmission lines and diverse types
of active and passive loads. Due to the increase in need of
electrical power loading of HVAC transmission lines is
increases and problem of voltage stability arises. Conventional
HVAC transmission system with frequency 50 Hz is
commonly used to transmit the power from generating station
to consumer using three phase system [1].
The major drawback of HVAC transmission is that due to
reactive components of transmission lines large reactive power
is generated which raise the losses and reduce the power
carrying capacity of power lines. High voltage AC
transmission is well proven transmission system with high
reliability and easy to transform voltage levels, but the cost of
transmission increases noticeably as the distance expands, and
stability problem [2]-[3]. So HVAC transmission is suitable for
short distance power transmission. Due to limitations of
HVAC, High Voltage DC (HVDC) transmission line operating
at 0 Hz frequency is suggested as a new substitute technology
for power transmission to long distance. HVDC is cost
effective to transmit power over long distance. Due to zero
frequency of transmission system reactive losses are removed
and power carrying capacity of line is increased over long
distance but the transmission cost increases for short and
medium Distance [4].
In this paper LFAC system working at 16.7 Hz has been
proposed as a substitute to HVDC and HVAC for the
renewable energy sources and medium distance transmission in
terms of reliability, economy and power loss. The idea of
LFAC transmission system was first proposed by Funaki in
[5].A low Frequency Transmission system reduces the losses
of transmission lines, expands the power transfer capability and
small amount of reactive power compensation required.
Furthermore, HVAC transmission technology can be applied to
LFAC framework straightforwardly excluding circuit breakers
and transformers. LFAC transmission system combines the
best of HVAC and HVDC to transmit power at a frequency,
lesser than 50Hz with the advantages of high stability and
power transfer capacity [6].The power electronic frequency
converters are used in LFAC transmission system to decrease
the frequency at generation side and also to convert low
frequency to normal HVAC 50 Hz frequency at grid side
shown in figure.1. Mainly, the frequency converter must be
able regulate the frequency, voltage, reactive and real power,
while working in abnormal conditions, While also operating
under abnormal conditions [7]-[8].
For Reactive power compensation STATCOM is used
along with low frequency transmission lines to increase the
controllability, stability and power transmission ability of
power system for best performance of existing power network
[11]. Fixed synchronous compensator (STATCOM) is an
emerging FACTS controller; connected in parallel to
transmission lines deliver the necessary reactive power
according to the requirement of power system for optimum
performance. This device is attached mostly at center of the
transmission lines through coupling transformer because
voltage variations at center of transmission lines are more. This
model uses the voltage source converter and STATCOM
International Journal of Science and Engineering Investigations, Volume 9, Issue 107, December 2020 41
www.IJSEI.com Paper ID: 910720-07ISSN: 2251-8843
consist of voltage source inverter, coupler transformer, and
control unit and dc energy storage element. VSI is the core
element of the STATCOM based on three phase IGBT which
is utilized to transform the DC voltage into AC. The output
voltage of voltage source Inverter decides whether the re-active
power is consumed or generated by the device.
The simple block representation of the LFAC system with
compensation device is shown in figure 1.
Figure 1. Block Representation of LFAC transmission with STATCOM
II. LOWFREQUENCYACTRANSMISSION SYSTEM
LFAC transmission system is used to decrease the
inductive losses of transmission network and enhance the
power system reliability and stability. The impedance is
proportional to the frequency of the power transmission lines,
so by the use of lower frequency reactive power losses also
drop off [9]. By using a lower frequency, the reactive power is
proportionally minimized.
(1)
(2)
Equation (1) shows Voltage stability depends on reactive
power when load increase reactive power Demand increase and
receiving end circuit breakers. By using a lower frequency, the
reactive power is proportionally minimized.
(3)
Where total inductance of the line is L, declining the
frequency of the transmission will increase the transmission
capability proportionally.
The main components of LFAC system are Ac source, AC-
DC-AC frequency converter, control system and AC GRID as
shown in figure 1. The power electronic frequency converters
are used in LFAC transmission system to decrease the
frequency at generation side and also to convert low frequency
to normal HVAC 50 Hz frequency at grid side.
Two back to back frequency converters are essential to
transform the frequency to LF and back to 50Hz. For LFAC
transmission line power loss calculation two bus system is
considered where impedance and Admittance is given by z and
y, the π-model parameters for 200 km long lines are:
√ (4)
⁄ ( ⁄ ) ( ) √ ( ) (5)
Assuming the grid side voltage is VS = VS∠0, the receiving
side voltage is VR = VR∠θ and supplies to load is S = P +jQ.
Thus Power loss of transmission line depends of load condition
and operating frequency, when frequency is reduced voltage
profile of power system improved. Design procedure of LFAC
transmission scheme and stability analysis is verified by using
MATLAB /Simulink. Thus, for medium transmission lines
LFAC system seems to be a viable solution.
III. FREQUENCY CONVERTER FOR LFAC TRASMISSION
Low frequency high voltage transmission works at a low
frequency 16.7 Hz thus require frequency converters to step up
and down the frequency to and from the typical HVAC
frequency. The power electronic frequency converters are used
in LFAC transmission system to decrease the frequency at
generation side and also to convert low frequency to normal
HVAC 50 Hz frequency at grid side. The investigation of
power electronics frequency converters for the LFAC
transmission is concentrated on its feasibility, instead of
considering the high efficiency in power transmission system.
There are different types of frequency converters suggested for
the LFAC transmission application include matrix frequency
converter, cycloconverters, and Back to back frequency
converters discussed in [6]. Mainly, the frequency converter
must be able regulate the frequency, voltage, reactive and real
power, while working in abnormal conditions.
A usual configuration of a back to back (BtB) converter is
presented in Fig. 2. It consists of two back-to-back connected
converters that convert AC into DC and DC into AC through a
mutual DC connection with the desired output frequency. A
Pulse width modulation (PWM) technique is utilized to adjust
the output of the converter by sending the signals to the
correspondent electronics switches. The key advantages of BtB
converter are freedom to regulate the frequency, voltage of
power transmission, regulate the real and reactive power, size
is small and high reliability as compare to others.
Figure 2. Block Representation of back to back converter
Based on primary analysis, BtB converters have enhanced
performance due to efficient control of transmission voltage,
frequency, power flow and ability to synchronize the low
International Journal of Science and Engineering Investigations, Volume 9, Issue 107, December 2020 42
www.IJSEI.com Paper ID: 910720-07ISSN: 2251-8843
frequency transmission system with traditional 50 Hz AC grid.
The input AC to DC converter is built with a diode rectifier,
whereas the output circuit consists of transistor inverter. This
solution is dedicated to high power systems. Back to back
converter arrangement with its equivalent capital costs, better
reliability, small filter required and less necessity of reactive
power compensation makes the Back to back frequency
converter a better option for LFAC as compare to other
converters.
In LFAC transmission system Output of frequency
converter at receiving end side needs to be synchronized with
AC grid in reference of voltage magnitude, frequency, and
phase. To synchronize the fluctuating output of frequency
converter with AC grid Phase lock loop (PLL) technique is
utilized for matching the voltage magnitude, phase-angle of
grid and low frequency transmission system. A PLL is a closed
loop control system consists of low pass filter, phase detector,
and voltage controlled oscillator which is used to adjust the
phase and frequency with respect to reference input signal.
IV. COMPARISON OF BETWEEN CONVENTIONAL
AND PROPOSED MODEL
Modern HVAC power system is become more and more
difficult due to load changing and other symmetrical and
unsymmetrical faults. So the present power system is facing
challenges. Due to the complexity of power system it’s difficult
for existing transmission lines to support the growing power
demand. To satisfy the increasing power demand power system
needs to retain the voltage stability and reactive power flow
over the transmission line.
The Low Frequency transmission lines with STATCOM
controller is used to operate the power system within limits to
meet the power demand, reduce the inductive losses of
transmission lines under faults conditions and increase the
power transfer capability of the system. The comparison
between conventional and proposed model is shown in table 1.
TABLE I. COMPARISON OF HVAC AND LFAC
Fault
Type
Voltage stability Analysis
Rated voltage HVAC LFAC
P-G 1 pu with 5 % tolerance 0.85 pu 0.96 pu
P-P 1 pu with 5 % tolerance 0.66 pu 0.76 pu
3 P-G 1 pu with 5 % tolerance 0.30 pu 0.48 pu
From the simulation results of LFAC transmission it can be
seen that when frequency reduce voltage approximately stable
to rated value when fault occurs in the transmission line and
current increases as compare to 50hz transmission. Therefore,
LFAC transmission method is an innovative methodology for
enhancing the power transmission capability, the findings
shows that as the frequency becomes smaller, the fault currents
increase dramatically and Power system stability is better as
compare to 50 Hz transmission system.
V. SIMULATION DESIGNS
Simulation of 50 Hz AC and 16.7 Hz low frequency AC
transmission system with FACTS controller is done using
MATLAB SIMULINK Power Systems Analysis Toolbox
software. These simulations and results are used for stability
analysis and performance of power system during normal and
fault conditions. Fixed synchronous compensator (STATCOM)
is an evolving FACTS controller, connected in parallel with
transmission lines; provide the necessary reactive power
according to the requirement of power system for optimum
performance. This device is attached mostly at center of the
transmission lines through coupling transformer because
voltage variations at center of transmission lines are more.
Power generating station generates 50 MW, which is
transmitted to 200km distance grid station. The rated voltage of
transmission line is taken as 132kV. The rated voltage of grid
station is 18kV line to line. Simulation results are shown for
the 16.7Hz LFAC transmission system.
Figure 3. Simulink model of HVAC system at 50 Hz
Low frequency high voltage transmission works at a low
frequency 16.7 Hz thus require frequency converters to
increase and decrease the frequency to and from the typical
HVAC frequency. The power electronic frequency converters
are used in LFAC transmission system to reduce the frequency
at sending end side and also to step up back to typical
frequency of the grid station.
Figure 4. Simulink model of LFAC system at 16.7 Hz
International Journal of Science and Engineering Investigations, Volume 9, Issue 107, December 2020 43
www.IJSEI.com Paper ID: 910720-07ISSN: 2251-8843
Figure 5. Simulink model of receiving side frequency converter with PLL
control
Following are simulations results of the HVAC and
proposed model LFAC transmission system with power
compensation device in MATLAB software. The simulation is
carried out and result is analyzed for voltage stability of power
system.
Results of HVAC transmission shows that during load
changes or faults in power system receiving voltages are
reduced and current increases that are not acceptable in power
system and affect the stability of power system. Under normal
conditions line voltage and current waveforms at receiving side
and the grid side of the frequency converter side and at 50Hz
grid station under normal circumstances are shown in figure 6
and 7.
Figure 6. At grid side Voltages and currents of HVAC system
Figure 7. At receiving end side 132 KV voltages and currents of HVAC
system
Figure 8. Voltages and currents of HVAC during three phase fault
Figure 9. Sending side Frequency converter output voltages and currents
without filters of LFAC
Figure 10. Sending side Frequency converter 132Kv output voltages and
currents with filters of LFAC
Figure 11. Receiving side Frequency converter output voltages 13.8 KV and
currents of LFAC
International Journal of Science and Engineering Investigations, Volume 9, Issue 107, December 2020 44
www.IJSEI.com Paper ID: 910720-07ISSN: 2251-8843
Figure 12. Phase to ground fault in LFAC transmission network
Figure 13. Phase to ground fault in LFAC transmission network
Figure 14. Phase to Phase fault in LFAC transmission network
Figure 15. Three Phase fault in LFAC transmission network
From the above voltage and currents waveforms of LFAC
transmission it can be seen that when frequency reduce voltage
approximately stable to rated value when fault occurs in the
transmission line and current increases as compare to 50hz
transmission.
When the load demands increase, which makes total load in
the system to increase, the voltage magnitude in the 50 Hz
system is dropped to 0.9450 Pu below the lower limit. The 16.7
Hz system is less sensitive, or more stable, with load variation
when the voltage magnitude is 0.9784 pu. LFAC transmission
system increases the power transfer capability over long
distance and more robust compared to the 50 Hz transmission
system in terms of voltage stability as shown in figure 16.
Figure 16. Voltage Stability Comparison of HVAC and LFAC AC
transmission under load changing
VI. CONCLUSION
Low Frequency AC transmission working at 16.7 Hz is
new alternative technology to HVDC and HVAC in terms of
efficiency, power loss, and economy for medium distance
transmission and renewable energy sources. Compensation of
low frequency ac transmission using STATCOM device is
used to decrease the transmission line losses and boost the
power transmission capacity of transmission network to sustain
the stability of power system. FACTS devices are supportive
for sustaining voltage stability during load deviation.
Simulation and analysis of LFAC network and its elements are
confirmed by using MATLAB Simulink software. Simulation
results have shown that the LFAC has superior performance
compared to the 50 Hz system in terms of reactive and real
power transfer capability. LFAC transmission system also
reduces the operational and installation cost, and shorter
maintenance time is required.
REFERENCES
[1] N.B. Negra, J.Todorovic, and T.Ackermann, “Loss evaluation of HVAC
and HVDC transmission solutions for large offshore wind farms,” Elect.
Power Syst. Res, vol76, no.11 pp.916-927,July.2006.
International Journal of Science and Engineering Investigations, Volume 9, Issue 107, December 2020 45
www.IJSEI.com Paper ID: 910720-07ISSN: 2251-8843
[2] S. A.Saranya1, "Improving Voltage Stability of Power System Using
statcom,"IEEE International Conference on Electrical, Instrumentation
and Communication Engineering , vol. 2, no. 3, p. 5, 2017.
[3] P. Kumar, "Application of Fact Devices for Voltage Stability ina Power
System," in IEEE Sponsored 9th International Conference on Intelligent
Systems and Control Kolhapur,India, 2015.
[4] A. H. B. Meenakshi Rastogi, "Reactive Power Compensation Using
Static Synchronous Compensator (STATCOM) with Conventional
Control Connected with 33kV Grid," in Proceedings of 2015 RAECS
UIET Panjab University Chandigarh 21-22nd, Chandigarh, 2015.
[5] T.Funaki and K.Matsuura, ‟. Feasibility of the lower frequency AC
transmission” in proc.IEEE Trans.Power Eng.Soc.Winter
Meeting,2000,vol.4,pp.2693-2698.
[6] Fischer, W.; Braun, R.; & Erlich, I., “Low Frequency High Voltage
Offshore Grid for Transmission of Renewable Power”, 3rd IEEE PES
Innovative Smart Grid Technologies Europe (ISGT Europe), 14. - 17.
October 2012, Berlin, Germany.
[7] A. Chattopadhyay, 18 - AC-AC Converters," in Power Electronics
Handbook, second edition ed., M. H. Rashid, Ed. Burlington: Academic
Press, 2007, pp. 483 -515.
[8] Keng Weng Lao ,Quan Nguyen, Surya Santoso ,“Power Electronic
Converters for Low-Frequency HVac Transmission: Functions and
Challenges”, IEEE Transactions 2018.
[9] J. Li and X. P. Zhang, “Small signal stability of fractional frequency
transmission system with offshore wind farms,” IEEE Transactions on
Sustainable Energy, vol. 7, no. 4, pp. 1538–1546, Oct 2016.
[10] M. ,. R. V. ,. A. K. Hridya.K.R, "Analysis of Voltage Stability
Enhancement of a Grid and Loss Reduction Using Series FACTS
Controllers," in IEEE International Conference on Power,
Instrumentation, Control and Computing (PICC), 2015.
[11] Priyanka Sen ; Kaibalya Prasad Panda ; Sreyasee Rout ,"Enhancement
of power quality and voltage flicker mitigation using new PWM based
DSTATCOM," IEEE 2017 International Conference on Intelligent
Computing and Control Systems (ICICCS), June 2007.
[12] Tuan Ngo, Student Member, IEEE, Min Lwin, Student Member, IEEE,
and Surya Santoso, Fellow, “Steady-State Analysis and Performance of
Low Frequency AC Transmission Lines”,IEEE TRANSACTIONS ON
POWER SYSTEMS 2015.
How to Cite this Article:
Saleem, A., Khan, N. & Kalair, A. (2020). Compensation
of Low Frequency AC Overhead Transmission Lines
Using STATCOM. International Journal of Science and
Engineering Investigations (IJSEI), 9(107), 40-45.
http://www.ijsei.com/papers/ijsei-910720-07.pdf

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Low frequency ac transmission for power systems by Aamir Saleem

  • 1. 40 International Journal of Science and Engineering Investigations vol. 9, issue 107, December 2020 ISSN: 2251-8843Received on December 24, 2020 Compensation of Low Frequency AC Overhead Transmission Lines Using STATCOM Aamir Saleem1 , Nasrullah Khan2 , Anum Kalair3 1,2 Department of Electrical and Computer Engineering, COMSATS University Islamabad, Pakistan (1 studyzone333@gmail.com, 2 nasrullahk@comsats.edu.pk) Abstract- Voltage instability is one of the major issue in HVAC power network operating at 50 Hz frequency due to limited power transfer capability and distance limit. The stable operation of power system must be kept within limits to increase the efficiency of power transmission system. In this research Low Frequency AC (LFAC) transmission system has been proposed as a new power transmission technology to reduce the losses of transmission network and controlling the reactive power using Flexible AC transmission device. A LFAC Transmission lines operates at 16.7Hz frequency for transmission of power from source to load and use two Frequency converters at source and load side. The normal operation of power system depends on the reactive power flowing through the power transmission lines, which can be adjusted by a flexible AC transmission device; Static synchronous compensator. LFAC transmission lines with STATCOM controller improve the Power system voltage stability under various disturbances and enhance the power transmission capability as compare to HVAC transmission. The simulations are done in Matlab Simulink 2017a .The Output of Matlab Simulink model shows that voltage will become Stable and reactive power is compensated for best performance for power system. Keywords-Low Frequency AC (LFAC) Transmission, Power System Analysis, Back to Back Frequency Converter, Static Synchronous Compensator (STATCOM) I. INTRODUCTION Power system is a multi-part system comprise of generators, transformers, transmission lines and diverse types of active and passive loads. Due to the increase in need of electrical power loading of HVAC transmission lines is increases and problem of voltage stability arises. Conventional HVAC transmission system with frequency 50 Hz is commonly used to transmit the power from generating station to consumer using three phase system [1]. The major drawback of HVAC transmission is that due to reactive components of transmission lines large reactive power is generated which raise the losses and reduce the power carrying capacity of power lines. High voltage AC transmission is well proven transmission system with high reliability and easy to transform voltage levels, but the cost of transmission increases noticeably as the distance expands, and stability problem [2]-[3]. So HVAC transmission is suitable for short distance power transmission. Due to limitations of HVAC, High Voltage DC (HVDC) transmission line operating at 0 Hz frequency is suggested as a new substitute technology for power transmission to long distance. HVDC is cost effective to transmit power over long distance. Due to zero frequency of transmission system reactive losses are removed and power carrying capacity of line is increased over long distance but the transmission cost increases for short and medium Distance [4]. In this paper LFAC system working at 16.7 Hz has been proposed as a substitute to HVDC and HVAC for the renewable energy sources and medium distance transmission in terms of reliability, economy and power loss. The idea of LFAC transmission system was first proposed by Funaki in [5].A low Frequency Transmission system reduces the losses of transmission lines, expands the power transfer capability and small amount of reactive power compensation required. Furthermore, HVAC transmission technology can be applied to LFAC framework straightforwardly excluding circuit breakers and transformers. LFAC transmission system combines the best of HVAC and HVDC to transmit power at a frequency, lesser than 50Hz with the advantages of high stability and power transfer capacity [6].The power electronic frequency converters are used in LFAC transmission system to decrease the frequency at generation side and also to convert low frequency to normal HVAC 50 Hz frequency at grid side shown in figure.1. Mainly, the frequency converter must be able regulate the frequency, voltage, reactive and real power, while working in abnormal conditions, While also operating under abnormal conditions [7]-[8]. For Reactive power compensation STATCOM is used along with low frequency transmission lines to increase the controllability, stability and power transmission ability of power system for best performance of existing power network [11]. Fixed synchronous compensator (STATCOM) is an emerging FACTS controller; connected in parallel to transmission lines deliver the necessary reactive power according to the requirement of power system for optimum performance. This device is attached mostly at center of the transmission lines through coupling transformer because voltage variations at center of transmission lines are more. This model uses the voltage source converter and STATCOM
  • 2. International Journal of Science and Engineering Investigations, Volume 9, Issue 107, December 2020 41 www.IJSEI.com Paper ID: 910720-07ISSN: 2251-8843 consist of voltage source inverter, coupler transformer, and control unit and dc energy storage element. VSI is the core element of the STATCOM based on three phase IGBT which is utilized to transform the DC voltage into AC. The output voltage of voltage source Inverter decides whether the re-active power is consumed or generated by the device. The simple block representation of the LFAC system with compensation device is shown in figure 1. Figure 1. Block Representation of LFAC transmission with STATCOM II. LOWFREQUENCYACTRANSMISSION SYSTEM LFAC transmission system is used to decrease the inductive losses of transmission network and enhance the power system reliability and stability. The impedance is proportional to the frequency of the power transmission lines, so by the use of lower frequency reactive power losses also drop off [9]. By using a lower frequency, the reactive power is proportionally minimized. (1) (2) Equation (1) shows Voltage stability depends on reactive power when load increase reactive power Demand increase and receiving end circuit breakers. By using a lower frequency, the reactive power is proportionally minimized. (3) Where total inductance of the line is L, declining the frequency of the transmission will increase the transmission capability proportionally. The main components of LFAC system are Ac source, AC- DC-AC frequency converter, control system and AC GRID as shown in figure 1. The power electronic frequency converters are used in LFAC transmission system to decrease the frequency at generation side and also to convert low frequency to normal HVAC 50 Hz frequency at grid side. Two back to back frequency converters are essential to transform the frequency to LF and back to 50Hz. For LFAC transmission line power loss calculation two bus system is considered where impedance and Admittance is given by z and y, the π-model parameters for 200 km long lines are: √ (4) ⁄ ( ⁄ ) ( ) √ ( ) (5) Assuming the grid side voltage is VS = VS∠0, the receiving side voltage is VR = VR∠θ and supplies to load is S = P +jQ. Thus Power loss of transmission line depends of load condition and operating frequency, when frequency is reduced voltage profile of power system improved. Design procedure of LFAC transmission scheme and stability analysis is verified by using MATLAB /Simulink. Thus, for medium transmission lines LFAC system seems to be a viable solution. III. FREQUENCY CONVERTER FOR LFAC TRASMISSION Low frequency high voltage transmission works at a low frequency 16.7 Hz thus require frequency converters to step up and down the frequency to and from the typical HVAC frequency. The power electronic frequency converters are used in LFAC transmission system to decrease the frequency at generation side and also to convert low frequency to normal HVAC 50 Hz frequency at grid side. The investigation of power electronics frequency converters for the LFAC transmission is concentrated on its feasibility, instead of considering the high efficiency in power transmission system. There are different types of frequency converters suggested for the LFAC transmission application include matrix frequency converter, cycloconverters, and Back to back frequency converters discussed in [6]. Mainly, the frequency converter must be able regulate the frequency, voltage, reactive and real power, while working in abnormal conditions. A usual configuration of a back to back (BtB) converter is presented in Fig. 2. It consists of two back-to-back connected converters that convert AC into DC and DC into AC through a mutual DC connection with the desired output frequency. A Pulse width modulation (PWM) technique is utilized to adjust the output of the converter by sending the signals to the correspondent electronics switches. The key advantages of BtB converter are freedom to regulate the frequency, voltage of power transmission, regulate the real and reactive power, size is small and high reliability as compare to others. Figure 2. Block Representation of back to back converter Based on primary analysis, BtB converters have enhanced performance due to efficient control of transmission voltage, frequency, power flow and ability to synchronize the low
  • 3. International Journal of Science and Engineering Investigations, Volume 9, Issue 107, December 2020 42 www.IJSEI.com Paper ID: 910720-07ISSN: 2251-8843 frequency transmission system with traditional 50 Hz AC grid. The input AC to DC converter is built with a diode rectifier, whereas the output circuit consists of transistor inverter. This solution is dedicated to high power systems. Back to back converter arrangement with its equivalent capital costs, better reliability, small filter required and less necessity of reactive power compensation makes the Back to back frequency converter a better option for LFAC as compare to other converters. In LFAC transmission system Output of frequency converter at receiving end side needs to be synchronized with AC grid in reference of voltage magnitude, frequency, and phase. To synchronize the fluctuating output of frequency converter with AC grid Phase lock loop (PLL) technique is utilized for matching the voltage magnitude, phase-angle of grid and low frequency transmission system. A PLL is a closed loop control system consists of low pass filter, phase detector, and voltage controlled oscillator which is used to adjust the phase and frequency with respect to reference input signal. IV. COMPARISON OF BETWEEN CONVENTIONAL AND PROPOSED MODEL Modern HVAC power system is become more and more difficult due to load changing and other symmetrical and unsymmetrical faults. So the present power system is facing challenges. Due to the complexity of power system it’s difficult for existing transmission lines to support the growing power demand. To satisfy the increasing power demand power system needs to retain the voltage stability and reactive power flow over the transmission line. The Low Frequency transmission lines with STATCOM controller is used to operate the power system within limits to meet the power demand, reduce the inductive losses of transmission lines under faults conditions and increase the power transfer capability of the system. The comparison between conventional and proposed model is shown in table 1. TABLE I. COMPARISON OF HVAC AND LFAC Fault Type Voltage stability Analysis Rated voltage HVAC LFAC P-G 1 pu with 5 % tolerance 0.85 pu 0.96 pu P-P 1 pu with 5 % tolerance 0.66 pu 0.76 pu 3 P-G 1 pu with 5 % tolerance 0.30 pu 0.48 pu From the simulation results of LFAC transmission it can be seen that when frequency reduce voltage approximately stable to rated value when fault occurs in the transmission line and current increases as compare to 50hz transmission. Therefore, LFAC transmission method is an innovative methodology for enhancing the power transmission capability, the findings shows that as the frequency becomes smaller, the fault currents increase dramatically and Power system stability is better as compare to 50 Hz transmission system. V. SIMULATION DESIGNS Simulation of 50 Hz AC and 16.7 Hz low frequency AC transmission system with FACTS controller is done using MATLAB SIMULINK Power Systems Analysis Toolbox software. These simulations and results are used for stability analysis and performance of power system during normal and fault conditions. Fixed synchronous compensator (STATCOM) is an evolving FACTS controller, connected in parallel with transmission lines; provide the necessary reactive power according to the requirement of power system for optimum performance. This device is attached mostly at center of the transmission lines through coupling transformer because voltage variations at center of transmission lines are more. Power generating station generates 50 MW, which is transmitted to 200km distance grid station. The rated voltage of transmission line is taken as 132kV. The rated voltage of grid station is 18kV line to line. Simulation results are shown for the 16.7Hz LFAC transmission system. Figure 3. Simulink model of HVAC system at 50 Hz Low frequency high voltage transmission works at a low frequency 16.7 Hz thus require frequency converters to increase and decrease the frequency to and from the typical HVAC frequency. The power electronic frequency converters are used in LFAC transmission system to reduce the frequency at sending end side and also to step up back to typical frequency of the grid station. Figure 4. Simulink model of LFAC system at 16.7 Hz
  • 4. International Journal of Science and Engineering Investigations, Volume 9, Issue 107, December 2020 43 www.IJSEI.com Paper ID: 910720-07ISSN: 2251-8843 Figure 5. Simulink model of receiving side frequency converter with PLL control Following are simulations results of the HVAC and proposed model LFAC transmission system with power compensation device in MATLAB software. The simulation is carried out and result is analyzed for voltage stability of power system. Results of HVAC transmission shows that during load changes or faults in power system receiving voltages are reduced and current increases that are not acceptable in power system and affect the stability of power system. Under normal conditions line voltage and current waveforms at receiving side and the grid side of the frequency converter side and at 50Hz grid station under normal circumstances are shown in figure 6 and 7. Figure 6. At grid side Voltages and currents of HVAC system Figure 7. At receiving end side 132 KV voltages and currents of HVAC system Figure 8. Voltages and currents of HVAC during three phase fault Figure 9. Sending side Frequency converter output voltages and currents without filters of LFAC Figure 10. Sending side Frequency converter 132Kv output voltages and currents with filters of LFAC Figure 11. Receiving side Frequency converter output voltages 13.8 KV and currents of LFAC
  • 5. International Journal of Science and Engineering Investigations, Volume 9, Issue 107, December 2020 44 www.IJSEI.com Paper ID: 910720-07ISSN: 2251-8843 Figure 12. Phase to ground fault in LFAC transmission network Figure 13. Phase to ground fault in LFAC transmission network Figure 14. Phase to Phase fault in LFAC transmission network Figure 15. Three Phase fault in LFAC transmission network From the above voltage and currents waveforms of LFAC transmission it can be seen that when frequency reduce voltage approximately stable to rated value when fault occurs in the transmission line and current increases as compare to 50hz transmission. When the load demands increase, which makes total load in the system to increase, the voltage magnitude in the 50 Hz system is dropped to 0.9450 Pu below the lower limit. The 16.7 Hz system is less sensitive, or more stable, with load variation when the voltage magnitude is 0.9784 pu. LFAC transmission system increases the power transfer capability over long distance and more robust compared to the 50 Hz transmission system in terms of voltage stability as shown in figure 16. Figure 16. Voltage Stability Comparison of HVAC and LFAC AC transmission under load changing VI. CONCLUSION Low Frequency AC transmission working at 16.7 Hz is new alternative technology to HVDC and HVAC in terms of efficiency, power loss, and economy for medium distance transmission and renewable energy sources. Compensation of low frequency ac transmission using STATCOM device is used to decrease the transmission line losses and boost the power transmission capacity of transmission network to sustain the stability of power system. FACTS devices are supportive for sustaining voltage stability during load deviation. Simulation and analysis of LFAC network and its elements are confirmed by using MATLAB Simulink software. Simulation results have shown that the LFAC has superior performance compared to the 50 Hz system in terms of reactive and real power transfer capability. LFAC transmission system also reduces the operational and installation cost, and shorter maintenance time is required. REFERENCES [1] N.B. Negra, J.Todorovic, and T.Ackermann, “Loss evaluation of HVAC and HVDC transmission solutions for large offshore wind farms,” Elect. Power Syst. Res, vol76, no.11 pp.916-927,July.2006.
  • 6. International Journal of Science and Engineering Investigations, Volume 9, Issue 107, December 2020 45 www.IJSEI.com Paper ID: 910720-07ISSN: 2251-8843 [2] S. A.Saranya1, "Improving Voltage Stability of Power System Using statcom,"IEEE International Conference on Electrical, Instrumentation and Communication Engineering , vol. 2, no. 3, p. 5, 2017. [3] P. Kumar, "Application of Fact Devices for Voltage Stability ina Power System," in IEEE Sponsored 9th International Conference on Intelligent Systems and Control Kolhapur,India, 2015. [4] A. H. B. Meenakshi Rastogi, "Reactive Power Compensation Using Static Synchronous Compensator (STATCOM) with Conventional Control Connected with 33kV Grid," in Proceedings of 2015 RAECS UIET Panjab University Chandigarh 21-22nd, Chandigarh, 2015. [5] T.Funaki and K.Matsuura, ‟. Feasibility of the lower frequency AC transmission” in proc.IEEE Trans.Power Eng.Soc.Winter Meeting,2000,vol.4,pp.2693-2698. [6] Fischer, W.; Braun, R.; & Erlich, I., “Low Frequency High Voltage Offshore Grid for Transmission of Renewable Power”, 3rd IEEE PES Innovative Smart Grid Technologies Europe (ISGT Europe), 14. - 17. October 2012, Berlin, Germany. [7] A. Chattopadhyay, 18 - AC-AC Converters," in Power Electronics Handbook, second edition ed., M. H. Rashid, Ed. Burlington: Academic Press, 2007, pp. 483 -515. [8] Keng Weng Lao ,Quan Nguyen, Surya Santoso ,“Power Electronic Converters for Low-Frequency HVac Transmission: Functions and Challenges”, IEEE Transactions 2018. [9] J. Li and X. P. Zhang, “Small signal stability of fractional frequency transmission system with offshore wind farms,” IEEE Transactions on Sustainable Energy, vol. 7, no. 4, pp. 1538–1546, Oct 2016. [10] M. ,. R. V. ,. A. K. Hridya.K.R, "Analysis of Voltage Stability Enhancement of a Grid and Loss Reduction Using Series FACTS Controllers," in IEEE International Conference on Power, Instrumentation, Control and Computing (PICC), 2015. [11] Priyanka Sen ; Kaibalya Prasad Panda ; Sreyasee Rout ,"Enhancement of power quality and voltage flicker mitigation using new PWM based DSTATCOM," IEEE 2017 International Conference on Intelligent Computing and Control Systems (ICICCS), June 2007. [12] Tuan Ngo, Student Member, IEEE, Min Lwin, Student Member, IEEE, and Surya Santoso, Fellow, “Steady-State Analysis and Performance of Low Frequency AC Transmission Lines”,IEEE TRANSACTIONS ON POWER SYSTEMS 2015. How to Cite this Article: Saleem, A., Khan, N. & Kalair, A. (2020). Compensation of Low Frequency AC Overhead Transmission Lines Using STATCOM. International Journal of Science and Engineering Investigations (IJSEI), 9(107), 40-45. http://www.ijsei.com/papers/ijsei-910720-07.pdf