# ADVANCED DC-DC CONVERTER CONTROLLED SPEED REGULATION OF INDUCTION MOTOR USING PI CONTROLLER

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2 projects [6]-[7]. Control for them needs to be studied for the future application of these good topologies. The super-lift technique considerably increases the voltage transfer gain stage by stage in geometric progression [8]-[9]. However, their circuits are complex. An approach, positive output elementary super lift Luo converters, that implements the output voltage increasing in geometric progression with a simple structured have been introduced. These converters also effectively enhance the voltage transfer gain in power-law terms [6]. Due to the time variations and switching nature of the power converters, their static and dynamic behavior becomes highly non-linear. The design of high performance control for them is a challenge for both the control engineering engineers and power electronics engineers. In general, a good control for DC-DC converters always ensures stability in arbitrary operating condition. Moreover, good response in terms of rejection of load variations, input voltage variations and even parameter uncertainties is also required for a typical control scheme. The static and dynamic characteristics of these converters have been well discussed in the literature [10]. Figure. 1: Power circuit of induction motor The equivalent circuit used for obtaining the mathematical model of the induction motor is shown in the Fig. 2. (a) d-axis The PI control technique offers several advantages compared to PID control methods and they are stability, even for large line and load variations, reduce the steady error, robustness, good dynamic response and simple implementation. In this paper, state-space model for positive output elementary super lift Luo converter (POESLLC) are derived at first. A PI control is designed to control the gate signal of POESLLC with the help of induction motor reference speed. The performance of the system with PI control for positive output elementary super lift Luo converter is studied in Matlab/Simulink. Details on operation, analysis, control strategy and simulation results for positive output elementary super lift Luo converter (POESLLC) - VSI controlled Induction motor are presented in the subsequent sections. 2. MATHEMATICAL MODELING OF INDUCTION MOTOR In the control of any power electronics drive system to start with a mathematical model of the plant is required. To design any type of controller to control the process of the plant mathematical model is required. The mathematical modeling of induction motor and the power circuit of the 3-φ induction motor is shown in the Fig. 1. (b) q-axis Figure. 2: Equivalent circuit of induction motor in d-q frame The induction motor model is established using a rotating (d, q) field reference (without saturation) concept. An induction motor model is then used to predict the voltage required to drive the flux and torque to the demanded values within a fixed time period. This calculated voltage is then synthesized using the space vector modulation: (1) (2) (3) (4) goniv Publications Page 17

3 V sd and V sq, V rd and V rq are the direct axes and quadrature axes stator and rotor voltages. The flux linkages to the currents are given by the Eq. (5): (5) The electrical part of an induction motor can thus be described, by combining the above equations we get Eq. (6): The PI control has been presented as a good alternative to the control of switching power converters [11]. The main advantage PI control schemes is its insusceptibility to plant/system parameter variations that leads to invariant dynamics and static response in the ideal case. The positive output elementary super lift Luo converter is shown in Fig. 3. It includes dc supply voltage V in, capacitors C 1 and C 2, inductor L 1, power switch (n-channel MOSFET) S, freewheeling diodes D 1 and D 2 and load resistance R. where, A is given by: (6) Figure. 3 The positive output elementary super lift Luo converter (7) The instantaneous torque produced is given by: The principle of the sliding mode controller is to make the capacitor voltages V C1 and V C2 follow as faithfully as possible capacitor voltage references. In the description of the converter operation, it is assumed that all the components are ideal and also the positive output elementary super lift Luo converter operates in a continuous conduction mode. Figs. 4 and 5 show the modes of operation of the converter. (8) The electromagnetic torque expressed in terms of inductances is given by: (9) The mechanical part of the motor is modeled by the equation: Fig. 4 Mode 1 operation.. (10) 3. POSITIVE OUTPUT ELEMENTARY SUPER LIFT LUO CONVERTER For the purpose of optimize the stability of positive output elementary super lift Luo converter dynamics, while ensuring correct operation in any working condition, a PI control is a more feasible approach. Figure. 5 Mode 2 operation In Fig. 4 when the switch S is closed, voltage across capacitor C 1 is charged to V in. The current i L1 flowing through inductor L 1 increases with voltage V in. In Fig. 5 when the switch S is closed, decreases with voltage (V o - 2 V in). Therefore, the ripple of the inductor current i L1 goniv Publications Page 18

4 The voltage transfer gain is (11) (12) (13) The input current i in is equal to (i L1 + i C1) during switching on and only equal to i L1 during switching-off. Capacitor current i C1 is equal to i L1 during switching-off. In steady state, the average charges across capacitor C 1 should not change. We have the following relations: disturbances, set point variations, noise, modeling errors and components variations. The PI control settings proportional gain (Kp) and integral time (Ti) are designed using Zeigler Nichols tuning method [12]-[13] by applying the step test to obtain S shaped curve of step response of Positive output elementary super lift Luo converter as shown in Fig. 6 From the S-shaped curve of step response of Positive output elementary super lift Luo converter may be characterized by two constants, delay time L = 0.005s and time constant T = 0.052s. If inductance L 1 is large enough, i L1 is nearly equal to its average current i L1. Therefore and average input current Considering T = 1/f and The variation ratio of inductor current i L1 is The ripple voltage of output voltage V 0 is (14) (15) Figure.6 S- shaped curve of step response of Positive output elementary super lift Luo converter The delay time and time constant are determined by drawing a tangent line at the inflection point of the S-shaped curve and determining the intersections of the tangent line with the time axis and line output response c(t) as shown in Fig. 6. Ziegler and Nichols suggested to set the values of Kp = 9.36 and Ti = 0.016s.. (16) Therefore, the variation ratio of output voltage V 0 is. (17) 4. PI CONTROLLER DESIGN FOR THE PROPOSED SYSTEM The PI control is designed to ensure the specifying desired nominal operating point for Positive output elementary super lift Luo converter, then regulating Positive output elementary super lift Luo converter, so that it stays very closer to the nominal operating point in the case of sudden 5. SIMULATION The validation of proposed system performance has been done using MATLAB/Simulink package with the parameter listed in Table-I. Table 1 Parameters of proposed system PARAMETER RATING Source Voltage 60V, DC C1 20µF C2 1000µF L1 0.5mH Inverter Switches IGBT Induction Motor 5HP, (430V-460V) AC, 60Hz, 1750RPM goniv Publications Page 19

5 The MATLAB/Simulink model for the proposed Positive output superlift luo converter is shown in Fig.7. The simulink model for Positive output superlift luo converter shows the simplicity in the design and the number of switches used is only one. Fig.8 shows the Input and Output Voltage of Positive output Super-lift Luo Converter. From the simulation result, it is very clear that for the given 60V DC, the proposed Positive output Super-lift Luo Converter produces the output voltage of 430V DC which shows that to drive a three phase Induction motor a minimum source can be utilized. Figure.9 Stator Current of Three phase Induction Motor Fig.10 and Fig.11 shows the speed response and the electromagnetic torque of three phase induction motor. The reference speed assigned to the three phase induction motor is 500 rpm. The motor speed has been regulated within a second. Figure.7 Simulink model of Positive output Superlift Luo Converter Figure.10 Speed Response of Three phase Induction Motor Figure.11 Electromagnetic Torque Figure.8 Input and Output Voltage of Positive Output Super-lift Luo Converter The stator current of three phase induction motor is depicted in Fig.9. It can be seen that the high inrush current to the motor terminal has been vanished out within 0.5 seconds which adds one more advantage for the proposed system. 6. CONCLUSION The positive output elementary super lift Luo converter performs the voltage conversion from positive source voltage to positive load voltage. Due to the time variations and switching nature of the power converters, their dynamic behavior of the three phase induction motor becomes highly non-linear. This paper has successfully demonstrated the design, analysis, and suitability of PI controlled positive output elementary super lift Luo converter for speed regulation system of three phase induction motor. It is goniv Publications Page 20

6 suggested to implement any soft computing techniques for the gate control of Converter side. REFERENCES [1] J. W. Finch and D. Giaouris, Controlled AC electrical drives, IEEE Trans. Ind. Electron., vol. 55, no. 2, pp , Feb [2] J. Holtz and J. Quan, Drift and parameter compensated flux estimator for persistent zero stator frequency operation of sensorless controlled induction motors, IEEE Trans. Ind. Appl., vol. 39, no. 4, pp , Jul./Aug [3] M. Rashed and A. F. Stronach, A stable back-emf MRAS-based sensorless low speed induction motor drive insensitive to stator resistance variation, Proc. Inst. Elect. Eng. Electr. Power Appl., vol. 151, no. 6, pp , Nov methods in improvement the performance of the DC-DC Converter, The 7th International Conference on Power Electronics. October 2007, pp [12] P. Comines and N. Munro, PID controllers: recent tuning methods and design to specification, in IEEE Proc. Control Theory Application, vol.149, no.1, pp.46-53, Jan [13] Katsuhiko Ogata, Modern Control Engineering, Published by Prentice Hall of India Private Limited, New Delhi, Third Edition. [4] V. Vasic and S. Vukosavic, Robust MRASbased algorithm for stator resistance and rotor speed identification, IEEE Power Eng. Rev., vol. 21, no. 11, pp , Nov [5] B. K. Bose, Adjustable Speed A. C. Drives- A Technology status Review, IEEE Proceeding, vol. 70, No. 2, PP , [6] F.L.Luo and H.Ye, Positive output super lift converters, IEEE Transaction on power electronics, Vol.18, No. 1, pp , January [7] LUO F.L., Luo converters voltage lift technique, Proceedings of the IEEE Power Electronics special conference IEEE- PESC 98, Fukuoka, Japan, 17-22, pp , May [8] LUO F.L., Luo converters voltage lift technique (negative output), Proceedings of the second World Energy System international conference WES 98, Tornoto, Canada, 19-22, pp , May [9] LUO, F.L.: Re-lift converter: design, test, simulation and stability analysis, IEE Proc.Electr. Power Appl., 1998, 145, (4), pp [10] R.Middlebrook and S.Cuk, A General Unified Approach to Modeling Switching- Converter Power Stages, International Journal of Electronics, Vol.42, No.6, pp , June [11] M. Namnabat, M. Bayati Poodeh, S. Eshtehardiha, Comparison the control goniv Publications Page 21

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