Proceedings of the 14th International Middle East Power Systems Conference (MEPCON’10), Cairo University, Egypt, December 19-21, 2010, Paper ID 106. A New Simulink Model to study the VFT performance when transferring power between Weak and Strong AC Grids Prof. Dr.Ahmed Hossam El Din Dr.Mohamed Abdullah Ashraf Department of Electrical Engineering University of Alexandria Egypt Department of electrical engineering University of Alexandria Egypt hossamudn@hotmail.com mohamed_abdulla@ieee.org Abstract :This paper represents a new model of the Variable Frequency Transformer (VFT) using MATLAB/SIMULINK .The model is then used to connect two power systems .The simulations show that the model accurately represents the VFT’s dynamic characteristics. Based on this model, some further simulations are conducted to study VFT’s characteristics under fault conditions and its roles in preventing the spread of faults into the other area. The simulation results of the VFT show that the VFT effectively suppresses the power oscillations between the two interconnected power systems and thus prevents the faults from spreading. I. INTRODUCTION The VFT system is based on a combination of hydro generator and transformer technologies .The variable frequency transformer (VFT) is essentially a continuously variable phase shifting transformer that can operate at an adjustable phase angle. The core technology of the VFT is a rotary transformer with three phase windings on both rotor and stator. A drive motor and a variable speed drive system is used to apply torque to the rotor of the transformer and adjust the rotational position of the rotor relative to the stator, thereby controlling the magnitude and direction of the power flow through the VFT. The concept, theory and structures of the VFTs, and then a description of the characteristics and control strategies are presented by Robert Gauthier, E .Larsen et al, [1-7]. They also use control systems and strategies to show the dynamic performance of the VFTs. Various applications where VFT technology can be used as a tie between power system control areas were discussed by J .J .Marczewski [8]. Its use to facilitate connections between synchronous and asynchronous systems is discussed along with its general operational characteristics in these applications. The stability characteristics of the Laredo area power system and Eng .Mona Ibrahim Department of Electrical Engineering University of Alexandria Egypt eng_mona_ibrahim@ieee.org the improvements made with the addition of the VFT was introduced by P .Hassink, P .E .Marken, R .O'Keefe, and G . R .Trevino in reference [9]. The VFT is found to provide stability benefits similar to that of a local generator .In particular, the VFT improves the system’s post-fault voltage recovery characteristics and thereby extends the stability margin even with zero power scheduled. The VFT is also shown to enhance stability both prior to and following the introduction of 345kV transmission into the Laredo area . The VFT reaction to grid disturbances by showing curves of real events like single phase to ground faults, three phase faults, islanding, how its natural reaction helps weak networks by comparing the results of a simulation of the network with and without the VFT was discussed by D. Nadeau [10]. A comparison between the performance of a back-to-back HVDC system with series compensation external to the converter transformers, and a variable frequency transformer for power transfer power between asynchronous AC systems and flow control feeding or supplying a weak AC network was introduced by B. Bagen, D. Jacobson, G. Lane, and H. M. Turanli in reference [11]. The steady state and dynamic simulations show that both technologies are able to control power flow accurately .The variable frequency transformer consumes less reactive power than a back-to-back HVDC system, provides faster initial transient recovery and better natural damping capability. A digital simulation model of VFT and its control system are implemented by G. Chen, and X. Zhou et al. [12, 13]. Studies on VFT had been accomplished with these models, including VFT energization, speed regulation of rotor, synchronizing, ramp power control, step power control, dependent power limit control power supply for an isolated passive system reactive power balance and fault analysis. Hence it is important to implement a model for the VFT to test its performance before installing one. Reference [14] implements a model of the variable frequency transformer using PSCAD/EMTDC. The model verification is conducted and the characteristics are analyzed afterward. 20 II. The variable frequency transformer is used to control the power flow between the two systems by means of changing the rotor position with respect to the stator (angle δ). To control the rotor position a DC motor is used coupled with the rotor of the asynchronous machine, thus controlling the rotor position according to the ordered power. Figure (3) shows the controller of the DC motor. VFT MODELING Figure (1) illustrates a conceptual system diagram of the VFT. Figure1-System diagram of the variable frequency transformer The VFT model is constructed using the MATLAB/SIMULINK software to study the dynamic performance of the VFT when tie a weak AC grid to a strong AC grid. We used the MATLAB software package because other research papers used PSCAD/EMTDC to build the model and hence we decided to use a new software package which is equally reliable and accurate. Figure 2 shows the proposed model.In the proposed model, the VFT is modeled as a doubly-fed induction machine, where the stator is connected to system 1 and the rotor is connected to system 2. Figure 3-The Controller Upon starting the simulation the following sequence takes place: • During starting the rotor will be open-circuit, and the speed controller is applied on the dc motor which is mechanically coupled with the doubly fed IM to control the speed of the shaft to be equal to the reference speed (the difference between stator and rotor rotating fields) • After 5s from starting a check for the phase angle differences across the circuit breaker is performed, and when the difference is zero the breaker is closed. • At t=10s the speed controller is replaced by torque controller to control the shaft torque +ve value or –ve value or zero (to control the power flow) from stator to rotor or from rotor to stator or zero power transfer (respectively). Figure 2 -VFT Proposed Model System 1: Voltage: 220V (line to line RMS voltage) Frequency: 60Hz System 2: Voltage: 220V (line to line RMS voltage) Frequency: 50Hz 21 Below are the output waveforms of the VFT model : Applying a single line to ground fault: Figure7 -Actual and reference speed upon changing the power order Figure 4-The actual and reference power A single line to ground fault is to be applied to the system at t=20s to t=22s .The waveforms are shown in figure 8. Figure5-The actual and reference speed Below we will discuss the effect of changing the power order: Figure8 -Actual and Reference power upon applying a single line to ground fault Change in power order: We will study the effect of changing the power order to test the system dynamic response, the power order is changed from 5000W to 10000W at t=25secs. Figure6-The actual and reference power upon changing the power order Figure9-The actual and reference speed upon applying the single line to ground fault 22 The simulations above show clearly that the vft can significantly improve the power system stability, restrain power oscillations, and thus prevent faults from spreading into the neighboring power systems. The vft response to frequency disturbances: We will investigate here the behavior of the vft in case of change in frequency in the ac grid to which the vft connected. Figure12-The AC current at the stator side of the VFT. The procedure would be as follows: • a change in frequency would take place at AC system 1 where the frequency changes from 60Hz to 66Hz at t=30secs • the disturbance lasts till t=60secs and it returns back to 60Hz Below are the waveforms of the VFT under frequency disturbance : Figure13-The AC current at the rotor side of the VFT From the above waveforms we can conclude that the VFT system has a very good performance under frequency disturbances. That is although the VFT may be connecting weak AC grids however power could still flow from the sending to the receiving end. II. CONCLUSIONS: This paper presents a complete and comprehensive model of the VFT system using MATLAB/SIMULINK. The model shows the dynamic performance of the VFT system under faults and frequency disturbances .It shows the VFT’s outstanding capability in improving power stability, suppressing power oscillations and preventing faults from spreading into the neighboring systems. Figure10-The actual and reference power upon frequency disturbance III. REFERENCES: [1] Robert Gauthier, “A World-First VFT Installation in Quebec,” Transmission and Distribution World, Nov 2004. Available: http://tdworld.com/mag/power_worldfirst_vft_installation/ [2] E. Larsen, “A Classical Approach to constructing a power Flow Controller”, IEEE Power Engineering Society Summer Meeting, 1999, Volume :2, pp 1192 – 1195, 18-22 July 1999 Figure11-the reference and actual speed upon applying the frequency disturbance 23 [13] Y. Chen, G. Chen, and R. Yuan, "Mathematical Model and Simulation Analysis of Variable Frequency Transformers", Power System Technology, vol .32, no .17, pp73-77, 2008, (In Chinese) [3] M. Dusseault, J. M. Gagnon, D. Galibois, M. Granger, D. McNabb, D. Nadeau, J. Primeau, S. Fiset, E. Larsen, G. Drobniak, I. McIntyre, E. Pratico, C. Wegner, “First VFT Application and Commissioning”, presented at Canada Power, Toronto, Ontario, Canada, September 28-30, 2004. 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