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International Journal of Engineering Research and Development
ISSN: 2278-067X, Volume 1, Issue 1 (May 2012), PP. 46-51
www.ijerd.com

            A Spectral Correlative Approach to Power Quality
                    Improvement in Upfc Applications
             S.Sundeep1, Dr. G.Madhusudhana Rao2, V.Anwesha Kumar3
                         1
                             Dept. of EEE, CMR Group of Institutions, Hyderabad, Andhrapradesh
                             2
                               Dept. of EEE, JJ Group of Institutions, Hyderabad, Andhrapradesh
                             3
                               Dept. of EEE, JJ Group of Institutions, Hyderabad, Andhrapradesh

Abstract––To improvise the estimation accuracy and improve the response time faster, the conventional coding technique
based on frequency analysis is developed. A modified approach for frequency based coding technique is been suggested.
The approach of higher spectral coding based on finer spectral information to derive the current variation is suggested.
The approach of harmonic minimization based on spectral difference for measured current pulse is been suggested. The
analysis made shows a comparative higher compensation than the conventional coding approach.

Keyword––Spectral filter, Harmonic suppression, power flow controllers, spectral difference modeling.

                                                    I. INTRODUCTION
      Existing Power systems are highly complex and require careful design of new devices taking into consideration the
already existing equipment, especially for transmission systems in new deregulated electricity markets. This is not an
easy task considering that power engineers are severely limited by economic and environmental issues. Thus, this
requires a review of traditional methods and the creation of new concepts that emphasize a more efficient use of already
existing power system resources without reduction in system stability and security. In the late 1980s, the Electric Power
Research Institute (EPRI) introduced a new approach to solve the problem of designing and operating power systems; the
proposed concept is known as Flexible AC Transmission Systems (FACTS) [1]. The two main objectives of FACTS are
to increase the transmission capacity of ac lines and control power over designated transmission routes. The
improvements in the field of power electronics have had major impact on the development of the concept itself. A new
generation of FACTS controllers has emerged with improvements to Gate Turn-Of (GTO) thyristors ratings (4500 V to
6000 V, 4000 A to 6000A). These controllers are based on voltage-source inverters and include devices such as Static
Synchronous Compensator (STATCOM), Static Synchronous Series Compensator (SSSC), and Unified Power Flow
Controller (UPFC) [2]. The STATCOM is mainly used to regulate voltage in transmission systems, but can also be used
to improve the dynamic stability of a system [3]. The SSSC, on the other hand, can be compared to some extent to a
Thyristor Controlled Series Capacitor (TCSC), as it permits a change in the impedance of the transmission line through a
voltage source in series with the line [4]. A UPFC is a device which can control transmission line impedance, voltage and
phase angle. It is recognized as the most sophisticated power flow controller currently, and probably the most expensive
one. This controller offers substantial advantages for the static and dynamic operation of power system, but it brings with
it major challenges in power electronics and power system design, as demonstrated by the collaborative effort between
the American Electric Power (AEP), the Westinghouse Electric Corporation, and EPRI to install the first UPFC in the
USA [5, 6]. Emerging FACTS technologies should be supported by analytical tools to allow power engineers to
determine the full potential of these controllers. Digital simulations have become increasingly reliable in assessing both
steady-state and dynamic performance of power systems by means of general purpose simulation programs, providing
cost effective and feasible ways to model the system. To represent the power system in a realistic manner, the simulation
program has to be equipped with reliable models of all power system components. As the need for flexible and fast power
flow controllers, such as the UPFC, is expected to grow in the future, there is a corresponding need for reliable and
realistic models of these controllers. UPFC models have been investigated by several authors [7]. In [8], the UPFC model
consists of a controllable voltage source added in series with the transmission line, plus two current sources added in
shunt to balance the power flow through the UPFC. The UPFC model given in [9] is made up of two ideal synchronous
voltage sources; one is inserted in series with the line, while the other one is shunt connected to the line. In [10], the
steady-state model of the UPFC in a popular power system analysis software package is described. In all these
approaches the controllability of variation of current wrt. time is a prime requirement to achieve higher power quality in
current power systems. Although the use of a UPFC improves the power transfer capability and stability of a power
system, certain other problems emerge in the field of power system protection, in particular transmission line protection
[3–5]. The measured line current get Detroit due to non-linear characteristic of load applied to the power system. It is
required to compensate these variations using advanced signal processing approaches. Among various techniques,
wavelet based coding technique for power quality enhancement is proposed. The approach uses the spectral density of
higher frequency band to achieve the distortion minimization. Though the approach is based on density , distortions based
on power spectral density would result in incorporation of harmmoinc contents. this paper focus on the minimization of
such harmonic content by analysis in spectral domain and performing spectral subtraction for harmonic minimization.

                                                 II. SYSTEM MODELING
    The UPFC is the most versatile FACTS controller with capabilities of voltage regulation, series compensation, and
phase shifting. The UPFC is a member of the family of compensators and power flow controllers. The latter utilize the

                                                            46
A Spectral Correlative Approach to Power Quality Improvement in Upfc Applications

synchronous voltage source (SVS) concept to provide a unique comprehensive capability of transmission system control
[9]. The UPFC is able to control simultaneously or selectively all the parameters affecting power flow patterns in a
transmission network, including voltage magnitudes and phases, and real and reactive powers. These basic capabilities
make the UPFC the most powerful device in the present day transmission and control systems. the UPFC is a generalized
SVS represented at the fundamental frequency by controllable voltage phasor of magnitude Vpq and angle injected in
series with the transmission line. Note that the angle ρ can be controlled over the full range from 0 to 2π . In the UPFC,
the real power supplied to or absorbed from the system is provided by one of the end buses to which it is connected. This
meets the objective of the UPFC to control power flow rather than increasing the generation capacity of the system. the
UPFC consists of two voltage-sourced converters, one in series and one in shunt, both using Gate Turn-Off (GTO)
thyristor valves and operated from a common dc storage capacitor. This configuration facilitates free flow of real power
between the ac terminals of the two converters in either direction while enabling each converter to independently
generate or absorb reactive power at its own ac terminal. The series converter, referred to as Converter 2, injects a voltage
with controllable magnitude Vpq and phase ρ in series with the line via an insertion transformer, thereby providing the
main function of the UPFC. This injected voltage phasor acts as a synchronous ac voltage source that provides real and
reactive power exchange between the line and the ac systems. The reactive power exchanged at the terminal of series
insertion transformer is generated internally while the real power exchanged is converted into dc power and appears on
the dc link as a positive or negative real power demand. By contrast, the shunt converter, referred to as Converter 1,
supplies or absorbs the real power demanded by Converter 2 on the common dc link and supports the real power
exchange resulting from the series voltage injection. It converts the dc power demand of Converter 2 into ac and couples
it to the transmission line via a shuntconnected transformer. Converter 1 can also generate or absorb reactive power in
addition to catering to the real power needs of Converter 2; consequently, it provides independent shunt reactive
compensation for the line. It is to be noted that the reactive power exchanged is generated locally and hence, does not
have to be transmitted by the line. On the other hand, there exists a closed path for the real power exchanged by the series
voltage that is injected through the converters back to the line. A generic model of a UPFC unit is as shown in figure 1.




                                             Figure 1: A generic UPFC model

                                III.       SPECTRAL CODING APPROACH
     The basic components of the UPFC are two voltage source inverters with semiconductor devices having turnoff
capability (typically GTOs), sharing a common dc capacitor, and connected to the system through coupling transformers.
One voltage-source inverter is connected in parallel to the transmission system via a shunt, step-down transformer, while
the other is connected in series through a series transformer. A basic UPFC scheme is shown in Figure. 1. The branches
can work independently of each other by separating the dc side, i.e., by supplying each branch with its own dc capacitor.
In that case, the shunt-connected branch becomes a STATCOM that generates/absorbs reactive power to regulate the
voltage magnitude at the ac terminal. The series branch corresponds then to a SSSC that generates/absorbs reactive power
to regulate the current flow, and hence the power, of the transmission line. If these two devices are merged together
through a common dc capacitor, real power can be exchanged at the ac terminals; the UPFC behaves then as an ideal ac
to ac power converter in which the real power can flow freely in either direction between the controller terminals. This
basically results in a controllable phase shift between the terminal voltages v1 and v2, as the two voltage-source inverters
can interchange power. It should be noted that the real power is typically negotiated by the action of the series connected
branch, whereas the shunt-connected branch is primarily used to feed real power from the ac system to the common dc
link. The reactive power is generated or absorbed locally and independently from the real power by each branch and,
therefore, it does not flow through the UPFC.

From this basic operational description, it can be concluded that the UPFC has the ability to:
    1. control terminal voltage by locally generating or absorbing reactive power;
    2. control power flows on the transmission line, both steady-state and dynamic, by regulating the real power flow
         through the controller (series capacitive/ inductive compensation and also phase shifting regulation);
    3. allow secure loading of transmission lines to their full thermal capability where desirable.

     From the control point of view, it is important to distinguish between the two basic types of voltage-source inverters
that can be used in the UPFC [13]. One type is based on a phase control scheme, involving multi-connected out off-
phase six-pulse inverters. The other type of inverters operate based on Pulse With Modulation (PWM) switching
techniques, where active and reactive components of the variables can be independently controlled provided that the dc
voltage is kept sufficiently high. In the only UPFC installation project so far [6], phase control is used in an eight six-
pulse inverter scheme. PWM is considered uneconomical at present for transmission applications, due to the large

                                                            47
A Spectral Correlative Approach to Power Quality Improvement in Upfc Applications

switching losses of GTOs; however, in the near future, when developments in high power, low switching loss,
semiconductor devices are exploited, this control technique would become more competitive. Many research groups, e.g.
[14], use PWM controls in their UPFC studies due to simplicity and control advantages. In order to develop a
fundamental frequency, balanced model of the UPFC, a power balance technique, somewhat similar to the one proposed
in [13, 16] and used in [11] to develop a STATCOM model, is used here. The instantaneous power owing into the shunt
inverter from the ac bus, neglecting transformer losses and assuming fundamental frequency and balanced conditions, can
be represented by




     Where V1 is the rms voltage of the sinusoidal receiving-end bus voltage v1; Xsh is the shunt transformer equivalent
reactance; ash is the transformer voltage ratio; and  is the phase shift between the bus phase voltage v and the
                                                                                                               1
corresponding output voltage of the inverter vsh, as discussed in the previous section, i.e.,




      When  > 0 (p > 0), the inverter output voltage lags the bus voltage (the capacitor charges), whereas for  0(p <
                                                                                                                  <
0), the inverter ac voltage leads the bus voltage (the capacitor discharges). Vsh is the rms value of the inverter output
voltage vsh; thus, a Fourier analysis of the actual inverter voltage, yields




     Where Vdc is the average dc capacitor voltage, and msh is the amplitude modulation index of the shunt inverter. For
the series branch, neglecting transformer losses, the instantaneous power owing into the series inverter under fundamental
frequency, balanced conditions is represented by



     Where ase is the turns-ratio of the series transformer; Iac is the rms value of the controlled ac line current i ac; Vse is
the rms magnitude of the sinusoidal inverter output voltage vse; and is the phase shift of the inverter voltage vse with
respect to the line current iac, i.e.,




     A filtration approach to the derived current is applied to reduce the harmonic current n to this measured current to
acheicve a filtered output.

                           IV. SPECTRAL DIFFERENTIATION APPROACH
     Although the suggested approach proved very efficient in reducing high order distortion phenomena, there is still
some remaining distortion which lowers the current quality. Some devices are very sensitive to this remaining residual
background distortion after distortion estimation. Such as power transformer and non-linear loads. Therefore, a second
distortion reduction stage is employed. From the magnitude spectrum O(k; i), output of the first distortion reduction
stage, the current level is obtained by normalizing spectral autocorrelation at a lag equal to a fundamental frequency in
frequency domain. At the next stage, a spectral correlator is used to find the number of peaks and the frequency bin of the
peak corresponding to the highest harmonic within the auto-correlation. Each of these candidate peaks is analyzed to
categorize it as a peak coming from either a harmonic or a measured value. To determine the harmonic amplitude O(h,i)
and harmonic frequency in the frame , a estimation approach is developed as defined;



      Where a = floor((signal)(f0/Sr/N)) using the sampling rate S r and the estimated fundamental frequency f0, and b=
ceil((signal)(f0/Sr/N)). c ε [0,0:5] determines the tolerated non-harmonicity. The estimate λHT (k,i) of the distortion is
then obtained by sampling the distortion spectrum in the range between the harmonic spectral peaks and by interpolation
of the frequency and time from the adjacent distortion spectra in the surrounding signals. Finally, the enhanced spectral
amplitude S(k,i) is achieved by spectral differentiation:


This approach of spectral mapping reduces the total harmonic content resulting in higer quality improvement.




                                                              48
A Spectral Correlative Approach to Power Quality Improvement in Upfc Applications

                                             V. RESULT OBSERVATION
     A generator-line-load test system introduced in [17] is Modified and used here to validate the proposed fundamental
frequency model of the UPFC; the test system operates at 138 kV and is shown in Figure. 2. The generator is assumed to
be an ideal voltage source behind equivalent Thevenin impedance. The transmission system is composed of transmission
lines of different lengths and modeled as a distributed-parameter lines. The two parallel transmission lines in Figure 2.
Have identical parameters but the lower line per unit length is assumed longer; the UPFC is placed on that line to control
the power fl through it. The UPFC power fl controller is designed to maintain the power fl through the line at 0.2 p.u. The
load, connected to the system through an impedance representing a step-down transformer, is modeled as an RL load.
The UPFC shunt transformer is Y-Y connected and rated at 100 MVA, 138 kV/15 kV, with a leakage reactance of
14.5%. The series transformer is Y-_ connected and rated at 100 MVA, 47.81 kV/15 kV, with a leakage reactance of 6%.




                                           Figure 2: 5-Bus Test system for the UPFC.




                         Figure 3: Simulink model for the 2-inverter logic for the UPFC model
                                    The obtained observation is as outlined below,


                                                               Measured Line current




                                    1.5



                                      1



                                    0.5



                                      0



                                    -0.5



                                              50   100   150    200    250     300     350   400   450   500


                               Figure 4: measured Line current for the developed system




                                                                      49
A Spectral Correlative Approach to Power Quality Improvement in Upfc Applications

                                                        Spectrum of Line current
                0.25




                 0.2




                0.15




                 0.1




                0.05




                  0
                       0     0.5        1        1.5          2        2.5        3         3.5        4      4.5     5



            Figure 5: Measured spectral content for the line current

                                                             Filtered Line current




                  1.5



                       1



                  0.5



                       0



                 -0.5



                              50       100       150         200      250      300          350       400    450    500



            Figure 6: processed line current after spectral mapping


                                                       Spectrum of Filtered Line current
                           0.35


                            0.3


                           0.25


                            0.2


                           0.15


                            0.1


                           0.05


                             0
                                  0   0.5    1         1.5        2    2.5    3       3.5         4    4.5    5



             Figure 7: spectral density plot for the filtered signal




          Figure 8: Measured load current without spectral correction




                                                                      50
A Spectral Correlative Approach to Power Quality Improvement in Upfc Applications




                                          Figure 9: spectral correlated filtered output

The observation shows a decrement in the harmonic signal content in the line current, and load current.

                                                    VI. CONCLUSION
     This paper presents an approach for frequency based estimation of harmonic minimization in power flow
controlling. The simulation results demonstrate the validity of the proposed model, which can be used for both steady-
state and transient stability studies. The model is simple and can be used in any application that has some external
programming capabilities. It should be noted that the model is completely independent of the type of control used in the
UPFC; the results were obtained for a PWM-based control technique, and phase control technique.

                                                      REFERENCES
[1].    N. G. Hingorani, “Flexible AC Transmission Systems," IEEE Spectrum, pp. 40-45, April 1993.
[2].    L. Gyugyi, “Dynamic Compensation of AC Transmission Lines by solid-state Synchronous Voltage Sources," IEEE Trans.
        Power Delivery, Vol. 9, No. 2, pp. 904-911, April 10994.
[3].    E. Larsen, N. Miller, S. Nilsson, and S. Lindgren, “Benefits of GTO-Based Compensation Systems for Electric Utility
        Applications," IEEE Trans. Power Delivery, Vol. 7, No. 4, pp. 2056- 2062, October 1992.
[4].    L. Gyugyi, C. D. Schauder, and K. K. Sen, “Static Synchronous Series Compansator: A Solid-State Approach to the Series
        Compensation of Transmission Lines," IEEE Trans. Power Delivery, Vol. 12, No. 1, pp. 406-417, January 1997.
[5].    C. D. Schauder, L. Gyugyi, M. R. Lund, D. M. Hamai, T. R. Rietman, D. R. Torgerson, and A. Edris, “Operation of the Unified
        Power Flow Controller (UPFC) Under Practical Constraints," IEEE Trans. Power Delivery, Vol. 13, No. 2, pp. 630-639, April
        1998.
[6].    C. D. Schauder, L. Gyugyi, M. R. Lund, E. Stacey, L. Kovalsky, A. Keri, A. Mehraban, and A. Edris, “AEP UPFC Project:
        Installation, Commissioning and Operation of the +/- 160 MVA Statcom (Phase I)," IEEE/PES paper PE-515-PWRD-0-12-
        1997.
[7].    K. K. Sen and E. J. Stacey, “UPFC - Unified Power Flow Controller: Theory, Modeling, and Applications," IEEE/PES paper
        PE-282-PWRD-0-12-1997.
[8].    E. Lerch, D. Povh, R. Witzmann, R. Hlebcar, and R. Mihalic, “Simulation and Performance Analysis of Unified Power Flow
        Controller," CIGRE, 14-205, August 1994.
[9].    J. Bian, T. A. Lemak, R. J. Nelson, and D. G. Ramey, “Power Flow Controller Models for Power System Simulations," Power
        System Technology, Vol. 19, No. 9, pp. 15-19, September 1995.
[10].   M. Rahman, M. Ahmed, R. Gutman, R. J. O'Keefe, R. J. Nelson, and J. Bian, “UPFC Application on the AEP System: Planning
        Considerations," IEEE/PES paper PE-582-PWRS-0- 01-1997.
[11].   E. Uzunovic, C. C. Canizares, and J. Reeve, “Fundamental Frequency Model of Static Synchronous Compensator," Proc. 29 th
        North American Power Symposium, Laramie, Wyoming, pp. 49-54, October 1997.
[12].   L. Gyugyi, C. D. Schauder, S. L. Williams, T. R. Rietman, D. R. Torgerson, and A. Edris, “The Unified Power Flow Controller:
        A New Approach to Power Transmission Control," IEEE Trans. Power Delivery, Vol. 10, No. 2, pp. 1085-1093, April 1995.
[13].   C. D. Schauder and H. Mehta, “Vector Analysis and Control of Advanced Static VAR Compensators,” IEE Proceedings-C, Vol.
        140, No. 4, pp. 299-306, July 1993.
[14].   A. Nabavi-Niaki and M. R. Iravani, “Steady-State and Dynamic Models of Unified Power Flow Controller (UPFC) for Power
        System Studies," IEEE Trans. Power Systems, Vol. 11, No. 4, pp. 1937-1943, November 1996.
[15].   I. Papic, P. Zunko, and D. Povh, “Basic Control of Unified Power Flow Controller," IEEE Trans. Power Systems, Vol. 12, No.
        4, pp. 1734-1739, November 1997.
[16].   [16] D. W. Novotny and T. A. Lipo, Vector Control and Dynamics of Ac Drives, Oxford University Press, 1996.
[17].   R. H. Lasseter, Electromagnetic Transient Program (EMTP)- Volume 4: Workbook IV (TACS), EL-4651, Vol. 4, RP 2149-6,
        EPRI, June 1989.




                                                                51

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  • 1. International Journal of Engineering Research and Development ISSN: 2278-067X, Volume 1, Issue 1 (May 2012), PP. 46-51 www.ijerd.com A Spectral Correlative Approach to Power Quality Improvement in Upfc Applications S.Sundeep1, Dr. G.Madhusudhana Rao2, V.Anwesha Kumar3 1 Dept. of EEE, CMR Group of Institutions, Hyderabad, Andhrapradesh 2 Dept. of EEE, JJ Group of Institutions, Hyderabad, Andhrapradesh 3 Dept. of EEE, JJ Group of Institutions, Hyderabad, Andhrapradesh Abstract––To improvise the estimation accuracy and improve the response time faster, the conventional coding technique based on frequency analysis is developed. A modified approach for frequency based coding technique is been suggested. The approach of higher spectral coding based on finer spectral information to derive the current variation is suggested. The approach of harmonic minimization based on spectral difference for measured current pulse is been suggested. The analysis made shows a comparative higher compensation than the conventional coding approach. Keyword––Spectral filter, Harmonic suppression, power flow controllers, spectral difference modeling. I. INTRODUCTION Existing Power systems are highly complex and require careful design of new devices taking into consideration the already existing equipment, especially for transmission systems in new deregulated electricity markets. This is not an easy task considering that power engineers are severely limited by economic and environmental issues. Thus, this requires a review of traditional methods and the creation of new concepts that emphasize a more efficient use of already existing power system resources without reduction in system stability and security. In the late 1980s, the Electric Power Research Institute (EPRI) introduced a new approach to solve the problem of designing and operating power systems; the proposed concept is known as Flexible AC Transmission Systems (FACTS) [1]. The two main objectives of FACTS are to increase the transmission capacity of ac lines and control power over designated transmission routes. The improvements in the field of power electronics have had major impact on the development of the concept itself. A new generation of FACTS controllers has emerged with improvements to Gate Turn-Of (GTO) thyristors ratings (4500 V to 6000 V, 4000 A to 6000A). These controllers are based on voltage-source inverters and include devices such as Static Synchronous Compensator (STATCOM), Static Synchronous Series Compensator (SSSC), and Unified Power Flow Controller (UPFC) [2]. The STATCOM is mainly used to regulate voltage in transmission systems, but can also be used to improve the dynamic stability of a system [3]. The SSSC, on the other hand, can be compared to some extent to a Thyristor Controlled Series Capacitor (TCSC), as it permits a change in the impedance of the transmission line through a voltage source in series with the line [4]. A UPFC is a device which can control transmission line impedance, voltage and phase angle. It is recognized as the most sophisticated power flow controller currently, and probably the most expensive one. This controller offers substantial advantages for the static and dynamic operation of power system, but it brings with it major challenges in power electronics and power system design, as demonstrated by the collaborative effort between the American Electric Power (AEP), the Westinghouse Electric Corporation, and EPRI to install the first UPFC in the USA [5, 6]. Emerging FACTS technologies should be supported by analytical tools to allow power engineers to determine the full potential of these controllers. Digital simulations have become increasingly reliable in assessing both steady-state and dynamic performance of power systems by means of general purpose simulation programs, providing cost effective and feasible ways to model the system. To represent the power system in a realistic manner, the simulation program has to be equipped with reliable models of all power system components. As the need for flexible and fast power flow controllers, such as the UPFC, is expected to grow in the future, there is a corresponding need for reliable and realistic models of these controllers. UPFC models have been investigated by several authors [7]. In [8], the UPFC model consists of a controllable voltage source added in series with the transmission line, plus two current sources added in shunt to balance the power flow through the UPFC. The UPFC model given in [9] is made up of two ideal synchronous voltage sources; one is inserted in series with the line, while the other one is shunt connected to the line. In [10], the steady-state model of the UPFC in a popular power system analysis software package is described. In all these approaches the controllability of variation of current wrt. time is a prime requirement to achieve higher power quality in current power systems. Although the use of a UPFC improves the power transfer capability and stability of a power system, certain other problems emerge in the field of power system protection, in particular transmission line protection [3–5]. The measured line current get Detroit due to non-linear characteristic of load applied to the power system. It is required to compensate these variations using advanced signal processing approaches. Among various techniques, wavelet based coding technique for power quality enhancement is proposed. The approach uses the spectral density of higher frequency band to achieve the distortion minimization. Though the approach is based on density , distortions based on power spectral density would result in incorporation of harmmoinc contents. this paper focus on the minimization of such harmonic content by analysis in spectral domain and performing spectral subtraction for harmonic minimization. II. SYSTEM MODELING The UPFC is the most versatile FACTS controller with capabilities of voltage regulation, series compensation, and phase shifting. The UPFC is a member of the family of compensators and power flow controllers. The latter utilize the 46
  • 2. A Spectral Correlative Approach to Power Quality Improvement in Upfc Applications synchronous voltage source (SVS) concept to provide a unique comprehensive capability of transmission system control [9]. The UPFC is able to control simultaneously or selectively all the parameters affecting power flow patterns in a transmission network, including voltage magnitudes and phases, and real and reactive powers. These basic capabilities make the UPFC the most powerful device in the present day transmission and control systems. the UPFC is a generalized SVS represented at the fundamental frequency by controllable voltage phasor of magnitude Vpq and angle injected in series with the transmission line. Note that the angle ρ can be controlled over the full range from 0 to 2π . In the UPFC, the real power supplied to or absorbed from the system is provided by one of the end buses to which it is connected. This meets the objective of the UPFC to control power flow rather than increasing the generation capacity of the system. the UPFC consists of two voltage-sourced converters, one in series and one in shunt, both using Gate Turn-Off (GTO) thyristor valves and operated from a common dc storage capacitor. This configuration facilitates free flow of real power between the ac terminals of the two converters in either direction while enabling each converter to independently generate or absorb reactive power at its own ac terminal. The series converter, referred to as Converter 2, injects a voltage with controllable magnitude Vpq and phase ρ in series with the line via an insertion transformer, thereby providing the main function of the UPFC. This injected voltage phasor acts as a synchronous ac voltage source that provides real and reactive power exchange between the line and the ac systems. The reactive power exchanged at the terminal of series insertion transformer is generated internally while the real power exchanged is converted into dc power and appears on the dc link as a positive or negative real power demand. By contrast, the shunt converter, referred to as Converter 1, supplies or absorbs the real power demanded by Converter 2 on the common dc link and supports the real power exchange resulting from the series voltage injection. It converts the dc power demand of Converter 2 into ac and couples it to the transmission line via a shuntconnected transformer. Converter 1 can also generate or absorb reactive power in addition to catering to the real power needs of Converter 2; consequently, it provides independent shunt reactive compensation for the line. It is to be noted that the reactive power exchanged is generated locally and hence, does not have to be transmitted by the line. On the other hand, there exists a closed path for the real power exchanged by the series voltage that is injected through the converters back to the line. A generic model of a UPFC unit is as shown in figure 1. Figure 1: A generic UPFC model III. SPECTRAL CODING APPROACH The basic components of the UPFC are two voltage source inverters with semiconductor devices having turnoff capability (typically GTOs), sharing a common dc capacitor, and connected to the system through coupling transformers. One voltage-source inverter is connected in parallel to the transmission system via a shunt, step-down transformer, while the other is connected in series through a series transformer. A basic UPFC scheme is shown in Figure. 1. The branches can work independently of each other by separating the dc side, i.e., by supplying each branch with its own dc capacitor. In that case, the shunt-connected branch becomes a STATCOM that generates/absorbs reactive power to regulate the voltage magnitude at the ac terminal. The series branch corresponds then to a SSSC that generates/absorbs reactive power to regulate the current flow, and hence the power, of the transmission line. If these two devices are merged together through a common dc capacitor, real power can be exchanged at the ac terminals; the UPFC behaves then as an ideal ac to ac power converter in which the real power can flow freely in either direction between the controller terminals. This basically results in a controllable phase shift between the terminal voltages v1 and v2, as the two voltage-source inverters can interchange power. It should be noted that the real power is typically negotiated by the action of the series connected branch, whereas the shunt-connected branch is primarily used to feed real power from the ac system to the common dc link. The reactive power is generated or absorbed locally and independently from the real power by each branch and, therefore, it does not flow through the UPFC. From this basic operational description, it can be concluded that the UPFC has the ability to: 1. control terminal voltage by locally generating or absorbing reactive power; 2. control power flows on the transmission line, both steady-state and dynamic, by regulating the real power flow through the controller (series capacitive/ inductive compensation and also phase shifting regulation); 3. allow secure loading of transmission lines to their full thermal capability where desirable. From the control point of view, it is important to distinguish between the two basic types of voltage-source inverters that can be used in the UPFC [13]. One type is based on a phase control scheme, involving multi-connected out off- phase six-pulse inverters. The other type of inverters operate based on Pulse With Modulation (PWM) switching techniques, where active and reactive components of the variables can be independently controlled provided that the dc voltage is kept sufficiently high. In the only UPFC installation project so far [6], phase control is used in an eight six- pulse inverter scheme. PWM is considered uneconomical at present for transmission applications, due to the large 47
  • 3. A Spectral Correlative Approach to Power Quality Improvement in Upfc Applications switching losses of GTOs; however, in the near future, when developments in high power, low switching loss, semiconductor devices are exploited, this control technique would become more competitive. Many research groups, e.g. [14], use PWM controls in their UPFC studies due to simplicity and control advantages. In order to develop a fundamental frequency, balanced model of the UPFC, a power balance technique, somewhat similar to the one proposed in [13, 16] and used in [11] to develop a STATCOM model, is used here. The instantaneous power owing into the shunt inverter from the ac bus, neglecting transformer losses and assuming fundamental frequency and balanced conditions, can be represented by Where V1 is the rms voltage of the sinusoidal receiving-end bus voltage v1; Xsh is the shunt transformer equivalent reactance; ash is the transformer voltage ratio; and  is the phase shift between the bus phase voltage v and the 1 corresponding output voltage of the inverter vsh, as discussed in the previous section, i.e., When  > 0 (p > 0), the inverter output voltage lags the bus voltage (the capacitor charges), whereas for  0(p < < 0), the inverter ac voltage leads the bus voltage (the capacitor discharges). Vsh is the rms value of the inverter output voltage vsh; thus, a Fourier analysis of the actual inverter voltage, yields Where Vdc is the average dc capacitor voltage, and msh is the amplitude modulation index of the shunt inverter. For the series branch, neglecting transformer losses, the instantaneous power owing into the series inverter under fundamental frequency, balanced conditions is represented by Where ase is the turns-ratio of the series transformer; Iac is the rms value of the controlled ac line current i ac; Vse is the rms magnitude of the sinusoidal inverter output voltage vse; and is the phase shift of the inverter voltage vse with respect to the line current iac, i.e., A filtration approach to the derived current is applied to reduce the harmonic current n to this measured current to acheicve a filtered output. IV. SPECTRAL DIFFERENTIATION APPROACH Although the suggested approach proved very efficient in reducing high order distortion phenomena, there is still some remaining distortion which lowers the current quality. Some devices are very sensitive to this remaining residual background distortion after distortion estimation. Such as power transformer and non-linear loads. Therefore, a second distortion reduction stage is employed. From the magnitude spectrum O(k; i), output of the first distortion reduction stage, the current level is obtained by normalizing spectral autocorrelation at a lag equal to a fundamental frequency in frequency domain. At the next stage, a spectral correlator is used to find the number of peaks and the frequency bin of the peak corresponding to the highest harmonic within the auto-correlation. Each of these candidate peaks is analyzed to categorize it as a peak coming from either a harmonic or a measured value. To determine the harmonic amplitude O(h,i) and harmonic frequency in the frame , a estimation approach is developed as defined; Where a = floor((signal)(f0/Sr/N)) using the sampling rate S r and the estimated fundamental frequency f0, and b= ceil((signal)(f0/Sr/N)). c ε [0,0:5] determines the tolerated non-harmonicity. The estimate λHT (k,i) of the distortion is then obtained by sampling the distortion spectrum in the range between the harmonic spectral peaks and by interpolation of the frequency and time from the adjacent distortion spectra in the surrounding signals. Finally, the enhanced spectral amplitude S(k,i) is achieved by spectral differentiation: This approach of spectral mapping reduces the total harmonic content resulting in higer quality improvement. 48
  • 4. A Spectral Correlative Approach to Power Quality Improvement in Upfc Applications V. RESULT OBSERVATION A generator-line-load test system introduced in [17] is Modified and used here to validate the proposed fundamental frequency model of the UPFC; the test system operates at 138 kV and is shown in Figure. 2. The generator is assumed to be an ideal voltage source behind equivalent Thevenin impedance. The transmission system is composed of transmission lines of different lengths and modeled as a distributed-parameter lines. The two parallel transmission lines in Figure 2. Have identical parameters but the lower line per unit length is assumed longer; the UPFC is placed on that line to control the power fl through it. The UPFC power fl controller is designed to maintain the power fl through the line at 0.2 p.u. The load, connected to the system through an impedance representing a step-down transformer, is modeled as an RL load. The UPFC shunt transformer is Y-Y connected and rated at 100 MVA, 138 kV/15 kV, with a leakage reactance of 14.5%. The series transformer is Y-_ connected and rated at 100 MVA, 47.81 kV/15 kV, with a leakage reactance of 6%. Figure 2: 5-Bus Test system for the UPFC. Figure 3: Simulink model for the 2-inverter logic for the UPFC model The obtained observation is as outlined below, Measured Line current 1.5 1 0.5 0 -0.5 50 100 150 200 250 300 350 400 450 500 Figure 4: measured Line current for the developed system 49
  • 5. A Spectral Correlative Approach to Power Quality Improvement in Upfc Applications Spectrum of Line current 0.25 0.2 0.15 0.1 0.05 0 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 Figure 5: Measured spectral content for the line current Filtered Line current 1.5 1 0.5 0 -0.5 50 100 150 200 250 300 350 400 450 500 Figure 6: processed line current after spectral mapping Spectrum of Filtered Line current 0.35 0.3 0.25 0.2 0.15 0.1 0.05 0 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 Figure 7: spectral density plot for the filtered signal Figure 8: Measured load current without spectral correction 50
  • 6. A Spectral Correlative Approach to Power Quality Improvement in Upfc Applications Figure 9: spectral correlated filtered output The observation shows a decrement in the harmonic signal content in the line current, and load current. VI. CONCLUSION This paper presents an approach for frequency based estimation of harmonic minimization in power flow controlling. The simulation results demonstrate the validity of the proposed model, which can be used for both steady- state and transient stability studies. The model is simple and can be used in any application that has some external programming capabilities. It should be noted that the model is completely independent of the type of control used in the UPFC; the results were obtained for a PWM-based control technique, and phase control technique. REFERENCES [1]. N. G. Hingorani, “Flexible AC Transmission Systems," IEEE Spectrum, pp. 40-45, April 1993. [2]. L. Gyugyi, “Dynamic Compensation of AC Transmission Lines by solid-state Synchronous Voltage Sources," IEEE Trans. Power Delivery, Vol. 9, No. 2, pp. 904-911, April 10994. [3]. E. Larsen, N. Miller, S. Nilsson, and S. Lindgren, “Benefits of GTO-Based Compensation Systems for Electric Utility Applications," IEEE Trans. Power Delivery, Vol. 7, No. 4, pp. 2056- 2062, October 1992. [4]. L. Gyugyi, C. D. Schauder, and K. K. Sen, “Static Synchronous Series Compansator: A Solid-State Approach to the Series Compensation of Transmission Lines," IEEE Trans. Power Delivery, Vol. 12, No. 1, pp. 406-417, January 1997. [5]. C. D. Schauder, L. Gyugyi, M. R. Lund, D. M. Hamai, T. R. Rietman, D. R. Torgerson, and A. Edris, “Operation of the Unified Power Flow Controller (UPFC) Under Practical Constraints," IEEE Trans. Power Delivery, Vol. 13, No. 2, pp. 630-639, April 1998. [6]. C. D. Schauder, L. Gyugyi, M. R. Lund, E. Stacey, L. Kovalsky, A. Keri, A. Mehraban, and A. Edris, “AEP UPFC Project: Installation, Commissioning and Operation of the +/- 160 MVA Statcom (Phase I)," IEEE/PES paper PE-515-PWRD-0-12- 1997. [7]. K. K. Sen and E. J. Stacey, “UPFC - Unified Power Flow Controller: Theory, Modeling, and Applications," IEEE/PES paper PE-282-PWRD-0-12-1997. [8]. E. Lerch, D. Povh, R. Witzmann, R. Hlebcar, and R. Mihalic, “Simulation and Performance Analysis of Unified Power Flow Controller," CIGRE, 14-205, August 1994. [9]. J. Bian, T. A. Lemak, R. J. Nelson, and D. G. Ramey, “Power Flow Controller Models for Power System Simulations," Power System Technology, Vol. 19, No. 9, pp. 15-19, September 1995. [10]. M. Rahman, M. Ahmed, R. Gutman, R. J. O'Keefe, R. J. Nelson, and J. Bian, “UPFC Application on the AEP System: Planning Considerations," IEEE/PES paper PE-582-PWRS-0- 01-1997. [11]. E. Uzunovic, C. C. Canizares, and J. Reeve, “Fundamental Frequency Model of Static Synchronous Compensator," Proc. 29 th North American Power Symposium, Laramie, Wyoming, pp. 49-54, October 1997. [12]. L. Gyugyi, C. D. Schauder, S. L. Williams, T. R. Rietman, D. R. Torgerson, and A. Edris, “The Unified Power Flow Controller: A New Approach to Power Transmission Control," IEEE Trans. Power Delivery, Vol. 10, No. 2, pp. 1085-1093, April 1995. [13]. C. D. Schauder and H. Mehta, “Vector Analysis and Control of Advanced Static VAR Compensators,” IEE Proceedings-C, Vol. 140, No. 4, pp. 299-306, July 1993. [14]. A. Nabavi-Niaki and M. R. Iravani, “Steady-State and Dynamic Models of Unified Power Flow Controller (UPFC) for Power System Studies," IEEE Trans. Power Systems, Vol. 11, No. 4, pp. 1937-1943, November 1996. [15]. I. Papic, P. Zunko, and D. Povh, “Basic Control of Unified Power Flow Controller," IEEE Trans. Power Systems, Vol. 12, No. 4, pp. 1734-1739, November 1997. [16]. [16] D. W. Novotny and T. A. Lipo, Vector Control and Dynamics of Ac Drives, Oxford University Press, 1996. [17]. R. H. Lasseter, Electromagnetic Transient Program (EMTP)- Volume 4: Workbook IV (TACS), EL-4651, Vol. 4, RP 2149-6, EPRI, June 1989. 51