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2 RAVULA RAGHUVEER, MANI RATNAM. T The above design is for a single cell voltage, in order to increase the voltage of the PVA the cell voltage has to be multiplied to a desired values considering each cell voltage as 0.4V. So, the number of series connected cells (Ns) can be calculated as Ns = Vo/0.4 To get each cell current, the total current output from the dependable source has to be divided by number of parallel connected cells (Np). Therefore, parallel connected cells are considered as Np = Io/Icell The representation in simulink is taken as Fig.3. CI & CV modelling Depending upon the solar irradiation and temperature the values of CV & CI are calculated which is fed to Vc block to get the cell voltage value as shown below Fig.2. Simulink modeling of Ns & Np For the calculation of Vcx (cell voltage) and Iphx (Photocurrent) we need correction factors C TV C TI C SV C SI. The formulation is given as Fig. 4: Combined diagram of CV CI & Vc mathematical models The correction factors are given as Where, β T = and T = 0.06 T a = reference temperature T x = ambient temperature S c = reference solar irradiation S x = ambient solar irradiation (1) (2) (3) The total system diagram of the PVA with all the mathematical formulation are put into a subsystem to make it clear and understandable. The output of the Vc multiplied with the Ns constant block defining the total voltage of the combined cells of the PVA is fed to the voltage controlled voltage source block so as to generate the required voltage. A diode is connected in series at the positive terminal of the PVA to avoid reverse currents passing into the PVA. To reduce the ripples a capacitor can be added later after the diode in parallel as the capacitor doesn t allow sudden change of voltages dv/dt. The complete PVA module with internal block construction is shown in the fig. below The values of Tx and Sx changes depending upon the Sun rays which change continuously and unpredictably. The effect of change in solar irradiation varies the cell photocurrent and also the cell voltage (Vc). Let us consider the initial solar irradiation is I sx1 & the increase of the irradiation is I sx2 which in turn increases the temperature from T x1 to T x2, photocurrent from I phx1 to I phx2. The mathematical modeling of the correction factors in simulink is given below Fig. 5. Complete diagram of PVA.

3 Application of Space Vector PWM in High Efficiency Induction Motor Water Pumping System with Photo-Voltaic Array III. PROPOSED TOPOLOGY In the above mentioned 8 switching modes the first and the The proposed topology is a double inductor boost high last are completely OFF and ON which is not applicable. We frequency DC to AC converter with high frequency step up only consider the six states from 1 st to 6 th eliminating 0 and transformer. The topology is shown below in fig th mode. The last three switching states are the compliment of first three switching states, which concludes that we have to only generate the three switching states ie., 1 st 2 nd and 3 rd. The other switching states ie., 4 th 5 th and 6 th are generated by applying a NOT gate to the previous modes. A simple hexagonal representation of switching patter in shown below which can be called as Space vector Trajectory. Fig.6. Proposed topology with PVA. The above topology has two stages, first stage is a DC-DC converter stepping up the voltage using TIBC (Two Inductor Booster Converter) and the second stage is converting the boosted DC voltage to three phase AC with space vector pulse width modulation technique. The three phase VSI is shown below with six power electronic switches attached to the system. Space vector PWM technique is an advancement of sinusoidal PWM as the pulses produced by digital switching of the fundamental waveform. Considering six switch operation we divide the VSI into two parts as upper part and lower part. The upper part contain the switches S1 S3 & S5 leaving the lower part of the VSI with S2 S4 & S6. Fig.8. Space vector trajectory The signal generation of space vector is compared to the triangular waveform to generate three PWM pulses to which NOT gates are given to get the other three pulses. The control signal of space vector PWM is given blow. Fig.7. Switch Assigning of VSI Fig. 9. Control signals of Space vector PWM. The state of the switches are either to be ON of OFF ie., two states. The number of possible switching states are give as 2 3 = 8. The 8 switching states are give blow. TABLE 1: Switching states SWITCH S1 S3 S5 1 ST MODE ND MODE RD MODE TH MODE TH MODE TH MODE TH MODE TH MODE IV. SIMULINK RESULTS Fig.10. Simulink Model of TIBC.

4 RAVULA RAGHUVEER, MANI RATNAM. T Fig.14. Power of PVA. V. CONCLUSION With the above analysis and graphical representations of the outputs of the PVA and the TIBC switching states of each element the application of PVA in high efficiency operation of water pumping induction machine can be observed. Considering the ideal switching conditions in MATLAB the voltage stress on the switches is also very less increasing the efficiency of the topology. Fig. 11. Switching states. Fig.12. Voltage of PVA. Fig.13. Current of PVA. VI. REFERENCES [1] M. A. Vitorino, M. B. R. Correa, C. B. Jacobina, and A. M. N. Lima, An effective induction motor control for photovoltaic pumping, IEEE Trans. Ind. Electron., vol. 58, no. 4, pp , Apr [2] S. R. Bowes and A. Midoun, Suboptimal switching strategies for microprocessor controlled PWM inverter drives, Proc. Inst. Elect. Eng. Elect. Power Appl., vol. 132, no. 3, pp , May [3] M. Cacciato, A. Consoli, and V. Crisafulli, A high voltage gain dc/dc converter for energy harvesting in single module photovoltaic applications, in Proc. IEEE ISIE, 2010, pp [4] P. J. Wolfs, A current-sourced dc-dc converter derived via the duality principle from the half-bridge converter, IEEE Trans. Ind. Electron., vol. 40, no. 1, pp , Feb [5] P. Wolfs and Q. Li, An analysis of a resonant half bridge dual converter operating in continuous and discontinuous modes, in Proc. IEEE Power Electron. Spec. Conf., 2002, pp [6] W. Li, L. Fan, Y. Zhao, X. He, D. Xu, and B. Wu, High step-up and high efficiency fuel cell power generation system with active clamp flyback-forward converter, IEEE Trans. Ind. Electron., vol. 59, no. 1, pp , Jan [7] T.-J. Liang, R.-Y. Chen, J.-F. Chen, and W.-J. Tzeng, Buck-type current-fed push-pull converter with ZCS for high voltage applications, in Proc. IEEE Region 10 Conf., 2007, pp [8] P. M. Barbosa and I. Barbi, A new current-fed, isolated PWM dc-dc converter, IEEE Trans. Power Electron., vol. 11, no. 3, pp , May [8] R.-Y. Chen, T.-J. Liang, J.-F. Chen, R.-L. Lin, and K.-C. Tseng, Study and implementation of a current-fed fullbridge boost dc-dc converter with zero-current switching for high-voltage applications, IEEE Trans. Ind. Appl., vol. 44, no. 4, pp , Jul./Aug

5 Application of Space Vector PWM in High Efficiency Induction Motor Water Pumping System with Photo-Voltaic Array Author s Profile: Ravula Raghuveer, B.Tech Jayamukhi Institute of Technological Sciences, M.Tech Vignana Bharathi Institute of Technology, Hyderabad, JNTU HYD. Mani Ratnam Taraptla, Assistant Professor, EEE Department, VBIT, Aushapur. B.Tech, JNTU Kakinada, M.Tech JNTU Kakinada.

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