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International Journal of Engineering Research and Development
e-ISSN: 2278-067X, p-ISSN : 2278-800X, www.ijerd.com
Volume 4, Issue 9 (November 2012), PP. 52-58

           Power Flow Control in HVDC Link Using PI and Ann
                                Controllers
                                     M. S. Jogendranath1, G. Pavan Kumar2
  1
   PG Scholar, Department of Electrical and Electronics Engineerin,SRKR Engineering College, Bhimavaram-534204, West
                                                  Godavari, Andhra Pradesh, India.
2
  Assistant Professor, Department of Electrical and Electronics Engineering, SRKR Engineering College, Bhimavaram-534204,
                                              West Godavari, Andhra Pradesh, India.


           Abstract:- In this paper, a HVDC system is designed to control the power flow between two converter stations
           with conventional controller and Artificial Neural Networks. For rectifier side current control is used and for
           inverter side both current and extinction angle control is implemented. Here Artificial Neural Networks is
           designed for both rectifier and inverter control and compared its performance with conventional PI controller.
           The MATLAB/SIMULATION results show that the HVDC with Neural network based controller have great
           advantage of flexibility when compared with PI controller.

           Keywords:- HVDC transmission, modelling, simulation.

                                                    I.         INTRODUCTION
                The design, analysis, and operation of complex ac-dc systems require extensive simulation resources that are
      accurate and reliable. Ana log simulators, long used for studying such systems, have reached their physical limits due to the
      increasing complexity of modern systems. Currently, there are several industrial grade digital time-domain simulation tools
      available for modelling ac-dc power systems. Among them, some have the added advantages of dealing with power
      electronics apparatus and controls with more accuracy and efficiency. MATLAB/SIMULINK is high-performance
      multifunctional software that uses functions for numerical computation system simulation, and application development.
      The HVDC system [1,2] shown in Fig.1. The system is a mono-polar 500-kV, 1000-MW HVDC link with 12-pulse
      converters on both rectifier and inverter sides, connected to weak ac systems (short circuit ratio of 2.5 at a rated frequency of
      50 Hz) that provide a considerable degree of difficulty for dc controls. Damped filters and capacitive reactive compensation
      are also provided on both sides. The power circuit of the converter consists of the following sub circuits.




                                  Fig:1Single-line diagram of the CIGRÉ benchmark HVDC system.
      A.   AC Side
                The ac sides of the HVDC system consist of supply network, filters, and transformers on both sides of the
      converter. The ac supply network is represented by a Thevenin equivalent voltage source with an equivalent source
      impedance. AC filters are added to absorb the harmonics generated by the converter as well as to supply reactive power to
      the converter.

      B.    DC Side
                 The dc side of the converter consists of smoothing reactors for both rectifier and the inverter side. The dc
      transmission line is represented by an equivalent T network, which can be tuned to fundamental frequency to provide a
      difficult resonant condition for the modelled system

      C.   Converter
                 The converter stations are represented by 12-pulse configuration with two six-pulse valves in series. In the actual
      converter, each valve is constructed with many thyristors in series. Each valve has a (di/dt) limiting inductor, and each
      thyristor has parallel RC snubbers

                                                                  52
Power Flow Control in HVDC Link Using PI and Ann Controllers

D.   Power Circuit Modelling
          The rectifier and the inverter are 12-pulse converters constructed by two universal bridge blocks connected in
series. The converter transformers are modeled by one three-phase two winding transformer with grounded Wye–Wye
connection, the other by three-phase two winding transformer with grounded Wye–Delta connection. The converters are
interconnected through a T-network.

E. Three Phase Source
A three-phase ac voltage source in series with a R-L combination is used to model the source.

F.   Control Variables for Constant Power Flow Control
           The control model mainly consists of (α/γ) measurements and generation of firing signals for both the rectifier and
inverter. The PLO is used to build the firing signals. The output signal of the PLO is a ramp, synchronized to the phase-A
commutating.

Id = ((Ar *Er/ Tr) cos αr – (Ai*Ei/ Ti) cos γi) / (Rcr + Rd- Rci)

Edr= (Ar *Er/ Tr) cos αr

Edi= (Ai*Ei/ Ti) cos γi)
Following are the controllers used in the control schemes:
1.Extinction Angle (γ) Controller
2.dc Current Controller;
3.Voltage Dependent Current Limiter (VDCOL).

G. Rectifier Control
           The rectifier control system uses Constant Current Control (CCC) technique [3,4,5]. The reference for current
limit is obtained from the inverter side. This is done to ensure the protection of the converter in situations when inverter side
does not have sufficient dc voltage support (due to a fault) or does not have sufficient load requirement (load rejection). The
reference current used in rectifier control depends on the dc voltage available at the inverter side. Dc current on the rectifier
side is measured using proper transducers and passed through necessary filters before they are compared to produce the error
signal. The error signal is then passed through a PI controller, which produces the necessary firing angle order. The firing
circuit uses this information to generate the equidistant pulses for the valves using the technique.

H. Inverter Control
           The Extinction Angle Control or γ control and current control have been implemented on the inverter side. The
CCC with Voltage Dependent Current Order Limiter (VDCOL) have been used here through PI controllers. The reference
limit for the current control is obtained through a comparison of the external reference (selected by the operator or load
requirement) and VDCOL (implemented through lookup table) output. The measured current is then subtracted from the
reference limit to produce an error signal that is sent to the PI controller to produce the required angle order. The γ control
uses another PI controller to produce gamma angle order for the inverter. The two angle orders are compared, and the
minimum of the two is used to calculate the firing instant. Gamma is the time expressed in degrees from the thyristor current
extinction to the time when the thyristor commutation voltage becomes positive. The system frequency is used to convert
time values in electrical degrees. The current extinction time is determined from the current threshold. The six gamma
angles are determined using six thyristor currents and the six commutation voltages are derived from the three-phase-to-
ground AC voltages measured at the 12 primary of the converter transformer. The minimum gamma value is considered for
the control action. For a 12-pulse converter, two gamma measurement units are used, and the smaller of the two gamma
outputs is compared with the reference gamma to produce the error signal. The firing angle orders from the CCC and from
the gamma controller (CEA) are compared and the minimum is used to produce firing pulses for the valve. Appropriate
voltmeters and ammeters are used to measure the DC voltages and currents, and three-phase VI measurement blocks are
used to measure the three phase voltages and currents. Signals are routed using “From” and “Goto” blocks and displayed by
the scope.




                                                             53
Power Flow Control in HVDC Link Using PI and Ann Controllers




                                              Fig: 2. Rectifier control with PI




                                Fig: 3. Inverter control with gamma measurement technique

I.    Artificial Neural Networks
           An artificial neural network (ANN), often just called a "neural network" (NN), is a mathematical model or
computational model based on biological neural networks. It consists of an interconnected group of artificial neurons and
processes information using a connectionist approach to computation. In most cases an ANN is an adaptive system that
changes its structure based on external or internal information that flows through the network during the learning phase.In
more practical terms neural networks are non-linear statistical data modelling tools. They can be used to model complex
relationships between inputs and outputs or to find patterns in data.

         Where x1, x2…..Xm are the m inputs
         Wk1 , Wk2 ,…. Wkm are weights attached to the input links
         For the above model
          𝑈𝑘 = 𝑗 𝑚 Wkj Xj
                  =1
         Vk = 𝑈𝑘 + bk
         The bias bk has the effect of increasing or lowering the input of the activation function.
          𝑦𝑘 = φ(Uk + bk)

           The weighted output signal vk is passed through an activation function and compared. If the output is greater than
the activation function then vk is passed to the cell body (system) which is used to perform the required activity.




                                                           54
Power Flow Control in HVDC Link Using PI and Ann Controllers




       Fig: 4. Artificial Neural Networks




   Fig: 5. Simulink model of HVDC System




Fig: 6. Rectifier side AC Voltage and AC Current




                    55
Power Flow Control in HVDC Link Using PI and Ann Controllers




             Fig: 7. Inverter side AC Voltage and AC Current




Fig: 8. Rectifier side DC Voltage, DC Current and Firing angle order with PI




Fig: 9. Inverter side DC Voltage, DC Current and Firing angle order with PI


                                  56
Power Flow Control in HVDC Link Using PI and Ann Controllers




                       Fig: 10. Rectifier side DC Voltage, DC Current and Firing angle order with NN




                       Fig: 11. Inverter side DC Voltage, DC Current and Firing angle order with NN

                                               II.       CONCLUSIONS
          In this project, a HVDC system is designed to control the power flow between two converter stations with
conventional controller and Artificial Neural Networks. For rectifier side current control is used and for inverter side both
current and extinction angle control is implemented. In order to transfer maximum power in the dc link, we have to maintain
minimum alpha. The error signal is passed through a PI and Artificial Neural Networks controller, which produces the
necessary firing angle order. The firing circuit uses this information to generate the equidistant pulses for the valves in the
converter station. Here Artificial Neural Networks is designed for both rectifier and inverter control and compared its
performance with conventional controller. The simulation results show that the HVDC with Neural network based controller
have great advantage of flexibility when compared with PI controller.




                                                           57
Power Flow Control in HVDC Link Using PI and Ann Controllers

                                                    REFERENCES
[1].   Das, B.P.; Watson, N.; Yonghe Liu; , "Simulation study of conventional and hybrid HVDC rectifier based on
       CIGRÉ benchmark model using PLL-less synchronisation scheme," Power Engineering and Optimization
       Conference (PEOCO), 2011 5th International , vol., no., pp.312-317, 6-7 June 2011doi:
       10.1109/PEOCO.2011.5970433.
[2].   Ashfaq Thahir, M.; Kirthiga, M.V.; , "Investigations on modern self-defined controller for hybrid HVDC
       systems," TENCON 2011 - 2011 IEEE Region 10 Conference , vol., no., pp.938-943, 21-24 Nov. 2011doi:
       10.1109/TENCON.2011.6129248.
[3].   Das, B.P.; Watson, N.; Yonghe Liu; , "Comparative study between gate firing units for CIGRE benchmark HVDC
       rectifier," Industrial Electronics and Applications (ICIEA), 2011 6th IEEE Conference on , vol.,no.,pp.299-
       306,21-23June2011 doi: 10.1109/ICIEA.2011.5975598.
[4].   Sood, V.K.; Khatri, V.; Jin, H.; , "EMTP modelling of CIGRE benchmark based HVDC transmission system
       operating with weak AC systems," Power Electronics, Drives and Energy Systems for Industrial Growth, 1996.,
       Proceedings of the 1996 International Conference on , vol.1, no., pp.426-432 vol.1, 8-11 Jan 1996doi:
       10.1109/PEDES.1996.539653.
[5].   Kala Meah, A.H.M. Sadrul Ula, "Simulation Study of the Frontier Line as a Multi-Terminal HVDC System,"
       IEEE PES General Meeting, July 20- 24, 2008, Pittsburg, PA, USA.
[6].   N.G. Hingorani, "Power Electronics in Electronic Utilities: Role of Power Electronics in Future Power Systems,"
       Proceeding of the IEEE, Vol. 76, No. 4, April, 1988, pp. 481-482.
[7].   A. Ekstrom and G. Liss, "A Refined HVDC Control System," IEEE Transactions on Power Apparatus and
       Systems, Vol. PAS 89, No. 5, May/June 1970, pp. 723-732.




                                                      58

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Welcome to International Journal of Engineering Research and Development (IJERD)

  • 1. International Journal of Engineering Research and Development e-ISSN: 2278-067X, p-ISSN : 2278-800X, www.ijerd.com Volume 4, Issue 9 (November 2012), PP. 52-58 Power Flow Control in HVDC Link Using PI and Ann Controllers M. S. Jogendranath1, G. Pavan Kumar2 1 PG Scholar, Department of Electrical and Electronics Engineerin,SRKR Engineering College, Bhimavaram-534204, West Godavari, Andhra Pradesh, India. 2 Assistant Professor, Department of Electrical and Electronics Engineering, SRKR Engineering College, Bhimavaram-534204, West Godavari, Andhra Pradesh, India. Abstract:- In this paper, a HVDC system is designed to control the power flow between two converter stations with conventional controller and Artificial Neural Networks. For rectifier side current control is used and for inverter side both current and extinction angle control is implemented. Here Artificial Neural Networks is designed for both rectifier and inverter control and compared its performance with conventional PI controller. The MATLAB/SIMULATION results show that the HVDC with Neural network based controller have great advantage of flexibility when compared with PI controller. Keywords:- HVDC transmission, modelling, simulation. I. INTRODUCTION The design, analysis, and operation of complex ac-dc systems require extensive simulation resources that are accurate and reliable. Ana log simulators, long used for studying such systems, have reached their physical limits due to the increasing complexity of modern systems. Currently, there are several industrial grade digital time-domain simulation tools available for modelling ac-dc power systems. Among them, some have the added advantages of dealing with power electronics apparatus and controls with more accuracy and efficiency. MATLAB/SIMULINK is high-performance multifunctional software that uses functions for numerical computation system simulation, and application development. The HVDC system [1,2] shown in Fig.1. The system is a mono-polar 500-kV, 1000-MW HVDC link with 12-pulse converters on both rectifier and inverter sides, connected to weak ac systems (short circuit ratio of 2.5 at a rated frequency of 50 Hz) that provide a considerable degree of difficulty for dc controls. Damped filters and capacitive reactive compensation are also provided on both sides. The power circuit of the converter consists of the following sub circuits. Fig:1Single-line diagram of the CIGRÉ benchmark HVDC system. A. AC Side The ac sides of the HVDC system consist of supply network, filters, and transformers on both sides of the converter. The ac supply network is represented by a Thevenin equivalent voltage source with an equivalent source impedance. AC filters are added to absorb the harmonics generated by the converter as well as to supply reactive power to the converter. B. DC Side The dc side of the converter consists of smoothing reactors for both rectifier and the inverter side. The dc transmission line is represented by an equivalent T network, which can be tuned to fundamental frequency to provide a difficult resonant condition for the modelled system C. Converter The converter stations are represented by 12-pulse configuration with two six-pulse valves in series. In the actual converter, each valve is constructed with many thyristors in series. Each valve has a (di/dt) limiting inductor, and each thyristor has parallel RC snubbers 52
  • 2. Power Flow Control in HVDC Link Using PI and Ann Controllers D. Power Circuit Modelling The rectifier and the inverter are 12-pulse converters constructed by two universal bridge blocks connected in series. The converter transformers are modeled by one three-phase two winding transformer with grounded Wye–Wye connection, the other by three-phase two winding transformer with grounded Wye–Delta connection. The converters are interconnected through a T-network. E. Three Phase Source A three-phase ac voltage source in series with a R-L combination is used to model the source. F. Control Variables for Constant Power Flow Control The control model mainly consists of (α/γ) measurements and generation of firing signals for both the rectifier and inverter. The PLO is used to build the firing signals. The output signal of the PLO is a ramp, synchronized to the phase-A commutating. Id = ((Ar *Er/ Tr) cos αr – (Ai*Ei/ Ti) cos γi) / (Rcr + Rd- Rci) Edr= (Ar *Er/ Tr) cos αr Edi= (Ai*Ei/ Ti) cos γi) Following are the controllers used in the control schemes: 1.Extinction Angle (γ) Controller 2.dc Current Controller; 3.Voltage Dependent Current Limiter (VDCOL). G. Rectifier Control The rectifier control system uses Constant Current Control (CCC) technique [3,4,5]. The reference for current limit is obtained from the inverter side. This is done to ensure the protection of the converter in situations when inverter side does not have sufficient dc voltage support (due to a fault) or does not have sufficient load requirement (load rejection). The reference current used in rectifier control depends on the dc voltage available at the inverter side. Dc current on the rectifier side is measured using proper transducers and passed through necessary filters before they are compared to produce the error signal. The error signal is then passed through a PI controller, which produces the necessary firing angle order. The firing circuit uses this information to generate the equidistant pulses for the valves using the technique. H. Inverter Control The Extinction Angle Control or γ control and current control have been implemented on the inverter side. The CCC with Voltage Dependent Current Order Limiter (VDCOL) have been used here through PI controllers. The reference limit for the current control is obtained through a comparison of the external reference (selected by the operator or load requirement) and VDCOL (implemented through lookup table) output. The measured current is then subtracted from the reference limit to produce an error signal that is sent to the PI controller to produce the required angle order. The γ control uses another PI controller to produce gamma angle order for the inverter. The two angle orders are compared, and the minimum of the two is used to calculate the firing instant. Gamma is the time expressed in degrees from the thyristor current extinction to the time when the thyristor commutation voltage becomes positive. The system frequency is used to convert time values in electrical degrees. The current extinction time is determined from the current threshold. The six gamma angles are determined using six thyristor currents and the six commutation voltages are derived from the three-phase-to- ground AC voltages measured at the 12 primary of the converter transformer. The minimum gamma value is considered for the control action. For a 12-pulse converter, two gamma measurement units are used, and the smaller of the two gamma outputs is compared with the reference gamma to produce the error signal. The firing angle orders from the CCC and from the gamma controller (CEA) are compared and the minimum is used to produce firing pulses for the valve. Appropriate voltmeters and ammeters are used to measure the DC voltages and currents, and three-phase VI measurement blocks are used to measure the three phase voltages and currents. Signals are routed using “From” and “Goto” blocks and displayed by the scope. 53
  • 3. Power Flow Control in HVDC Link Using PI and Ann Controllers Fig: 2. Rectifier control with PI Fig: 3. Inverter control with gamma measurement technique I. Artificial Neural Networks An artificial neural network (ANN), often just called a "neural network" (NN), is a mathematical model or computational model based on biological neural networks. It consists of an interconnected group of artificial neurons and processes information using a connectionist approach to computation. In most cases an ANN is an adaptive system that changes its structure based on external or internal information that flows through the network during the learning phase.In more practical terms neural networks are non-linear statistical data modelling tools. They can be used to model complex relationships between inputs and outputs or to find patterns in data. Where x1, x2…..Xm are the m inputs Wk1 , Wk2 ,…. Wkm are weights attached to the input links For the above model 𝑈𝑘 = 𝑗 𝑚 Wkj Xj =1 Vk = 𝑈𝑘 + bk The bias bk has the effect of increasing or lowering the input of the activation function. 𝑦𝑘 = φ(Uk + bk) The weighted output signal vk is passed through an activation function and compared. If the output is greater than the activation function then vk is passed to the cell body (system) which is used to perform the required activity. 54
  • 4. Power Flow Control in HVDC Link Using PI and Ann Controllers Fig: 4. Artificial Neural Networks Fig: 5. Simulink model of HVDC System Fig: 6. Rectifier side AC Voltage and AC Current 55
  • 5. Power Flow Control in HVDC Link Using PI and Ann Controllers Fig: 7. Inverter side AC Voltage and AC Current Fig: 8. Rectifier side DC Voltage, DC Current and Firing angle order with PI Fig: 9. Inverter side DC Voltage, DC Current and Firing angle order with PI 56
  • 6. Power Flow Control in HVDC Link Using PI and Ann Controllers Fig: 10. Rectifier side DC Voltage, DC Current and Firing angle order with NN Fig: 11. Inverter side DC Voltage, DC Current and Firing angle order with NN II. CONCLUSIONS In this project, a HVDC system is designed to control the power flow between two converter stations with conventional controller and Artificial Neural Networks. For rectifier side current control is used and for inverter side both current and extinction angle control is implemented. In order to transfer maximum power in the dc link, we have to maintain minimum alpha. The error signal is passed through a PI and Artificial Neural Networks controller, which produces the necessary firing angle order. The firing circuit uses this information to generate the equidistant pulses for the valves in the converter station. Here Artificial Neural Networks is designed for both rectifier and inverter control and compared its performance with conventional controller. The simulation results show that the HVDC with Neural network based controller have great advantage of flexibility when compared with PI controller. 57
  • 7. Power Flow Control in HVDC Link Using PI and Ann Controllers REFERENCES [1]. Das, B.P.; Watson, N.; Yonghe Liu; , "Simulation study of conventional and hybrid HVDC rectifier based on CIGRÉ benchmark model using PLL-less synchronisation scheme," Power Engineering and Optimization Conference (PEOCO), 2011 5th International , vol., no., pp.312-317, 6-7 June 2011doi: 10.1109/PEOCO.2011.5970433. [2]. Ashfaq Thahir, M.; Kirthiga, M.V.; , "Investigations on modern self-defined controller for hybrid HVDC systems," TENCON 2011 - 2011 IEEE Region 10 Conference , vol., no., pp.938-943, 21-24 Nov. 2011doi: 10.1109/TENCON.2011.6129248. [3]. Das, B.P.; Watson, N.; Yonghe Liu; , "Comparative study between gate firing units for CIGRE benchmark HVDC rectifier," Industrial Electronics and Applications (ICIEA), 2011 6th IEEE Conference on , vol.,no.,pp.299- 306,21-23June2011 doi: 10.1109/ICIEA.2011.5975598. [4]. Sood, V.K.; Khatri, V.; Jin, H.; , "EMTP modelling of CIGRE benchmark based HVDC transmission system operating with weak AC systems," Power Electronics, Drives and Energy Systems for Industrial Growth, 1996., Proceedings of the 1996 International Conference on , vol.1, no., pp.426-432 vol.1, 8-11 Jan 1996doi: 10.1109/PEDES.1996.539653. [5]. Kala Meah, A.H.M. Sadrul Ula, "Simulation Study of the Frontier Line as a Multi-Terminal HVDC System," IEEE PES General Meeting, July 20- 24, 2008, Pittsburg, PA, USA. [6]. N.G. Hingorani, "Power Electronics in Electronic Utilities: Role of Power Electronics in Future Power Systems," Proceeding of the IEEE, Vol. 76, No. 4, April, 1988, pp. 481-482. [7]. A. Ekstrom and G. Liss, "A Refined HVDC Control System," IEEE Transactions on Power Apparatus and Systems, Vol. PAS 89, No. 5, May/June 1970, pp. 723-732. 58