International Conference on Electrical, Electronics, and Optimization Techniques (ICEEOT) - 2016 Modified Trans-Z-Source Inverter with Continuous Input Current and Improved Boost Factor Swathyprakash and Rani S Department of Electrical and Electronics Engineering MEA Engineering College Perinthalmanna, Kerala, India swathyprakash92@gmail.com Abstract—This paper presents a modified trans-Z-source inverter which improves upon conventional Z-source and transZ-source inverters. It consists of an impedance network as in the case of Z-source inverter. The two inductors in Z-source inverter are replaced by two transformers. An extra inductor and two capacitors are added to provide continuous input current. It also suppresses high resonant current at startup. By changing turns ratio of transformers and modulation index, different boost factors and corresponding output voltages are obtained. The operating principle, analysis, control method and simulation results are presented in this paper. Keywords—Z-source inverter; trans-Z-source inverter; transformer; voltage source inverter; current source inverter I. INTRODUCTION Traditionally, there exist two converters: voltage source converters and current source converters. Due to different limitations of these two converters, Z-source inverter was proposed in [1]. Z-source inverters are used for single stage power conversion with buck and boost abilities. Many Zsource topologies have been developed in different studies which focus on its pulse width modulation strategies [2]-[4]. To overcome some disadvantages of Z-source inverters, a class of inverters called quasi-Z-source inverters were introduced [5] and [6], having merits such as improvement in input current profile and reduction in ratings of passive components. Later, some papers have introduced topologies by adding extra inductors, capacitors and diodes in order to increase the boost factor and to obtain higher boost inversion capability [7]-[9]. In order to increase the boost factor and voltage gain, a transformer has been added to the conventional Z-source inverter replacing the two inductors in its impedance network. Such topology is called trans-Z-source inverter. Many papers have been proposed analyzing these kinds of topologies [10] and [11]. An improved trans-Z-source inverter has been proposed in [12] which have the advantage of continuous input current and boost inversion capability. This paper presents a modified trans-Z-source inverter with an increased boost factor. There are two transformers in this topology replacing the two inductors in the conventional Z-source inverter. Like the conventional Z- source inverter, 978-1-4673-9939-5/16/$31.00 ©2016 IEEE Fig. 1. Z-source inverter for fuel cell application the modified inverter utilizes both the shoot through and non shoot through states of the inverter bridge in order to obtain boosted output voltage. The modified inverter has continuous input current and high current at startup is suppressed. Both the shoot through duty ratio and transformer turns ratio can be adjusted over a wide range and can be boosted to a high value. The conventional Z-source inverter and improved trans-Zsource inverter are explained in section II. Detailed operation and analysis of modified trans-Z-source inverter is given in section III. Section IV describes the simulation and result analysis of the modified trans-Z-source inverter. II. CONVENTIONAL Z-SOURCE AND IMPROVED TRANS-ZSOURCE INVERTER TOPOLOGIES Fig. 1 shows the conventional Z-source inverter topology for fuel cell applications. The classical Z-source inverter consists of a unique impedance network which couples inverter main circuit to dc source. This utilizes both shoot through and non shoot through states of inverter bridge. As shown in Fig.1, the impedance network consists of two inductors L1 and L2 and two capacitors C1 and C2. The boost factor of conventional Z-source inverter can be represented as B= 1 1 − 2D (1) Fig. 2 shows the improved trans-Z-source inverter topology with continuous input current. The two inductors in the classical Z-source inverter are replaced by a transformer here. Fig. 2. Improved trans-Z-source inverter with continuous input current An inductor L3 and a capacitor C2 is provided for making the input current continuous and to suppress resonant current at start up. A capacitor C1 is placed at the dc link. By changing the shoot through duty ratio and turns ratio of the transformer, a wide range of output voltage can be obtained. The boost factor of improved trans-Z-source inverter can be represented as B= 1 1 − ( 2 + n) D Fig. 3. Modified trans-Z-source inverter with continuous input current and improved boost factor. (2) The major disadvantages of the above mentioned topologies are as follows. 1) Input current is discontinuous in the classical Z-source inverter, thus requiring a decoupling capacitor bank or LC input filter at the front end to eliminate discontinuity and protect the energy source. 2) In improved trans-Z-source inverter, the basic structure of Z-source inverter is altered. A higher transformer turns ratio is used to get higher boosting which increases the weight and cost of the transformer. Fig. 5. Shoot-through state of modified trans-Z-source inverter with continuous input current and improved boost factor III. MODIFIED TRANS-Z-SOURCE INVERTER Fig. 3 shows the modified trans-Z-source inverter with continuous input current and improved boost factor. It is created by replacing the two inductors (L1 and L2) of classical Z-source inverter by two transformers. Apart from that, it consists of an inductor (L3), four capacitors (C1, C2, C3 and C4) and two diodes (D1 and D2). The main characteristics of the proposed inverter are as follows: 1) the basic X shape is retained; 2) only two transformers are used and a very high boost factor can be obtained by changing the turns ratio of the transformer; 3) the input dc current is continuous; 4) it provides resonant current suppression. As in the case of conventional Z-source inverter, the modified inverter also utilizes the shoot-through zero states in addition to the six active and two zero states. Thus the operating principles are similar to conventional Z-source inverters. For the purpose of analysis, the operating states are classified to shoot-through and nonshoot-through states. Fig. 5 and Fig. 6, shows respectively the shoot through and nonshoot-through states of modified trans-Z-source inverter. Fig. 6. Nonshoot-through state of modified trans-Z-source inverter with continuous input current and improved boost factor. In shoot-through state, the inverter is shorted by both upper and lower switching devices of any phase leg. During this time, both diodes D1 and D2 are reverse biased. v v v v L11 L12 (3) = n2 vL11 (4) =V C2 (5) = n1 vL 21 (6) L 21 L 22 = V C1 In nonshoot-through state, the inverter has six active states and two zero states. The diodes are on at this time. The corresponding equations are TABLE I. SIMULATION PARAMETERS Parameters Values Input DC voltage 100V Output phase voltage 135V Transformer turns ratio 1:1 Capacitors (C1 and C2) 5mF Capacitors (C3 and C4) 100µF Inductor (L3) 1mH Switching frequency 2KHz Three phase output filter Lf 12mH Cf 500µF Three phase resistive load v v L 22 L11 50Ω/phase + vL 21 = V C 2 (7) + vL12 = V C1 (8) Fig. 7. Simulink model of modified trans-Z-source inverter with continuous input current and improved boost factor. The boost factor of the proposed inverter is defined by, B= 1 1 − [ 2 + N 1 + N 2 ]D (9) When N1+N2=0, the inverter behaves similar to a Z-source inverter and when N1+N2=N, it is similar to improved trans-Zsource inverter. When using simple boost control method, the shootthrough duty cycle is, D =1− M (10) Where M is the modulation index. Substituting, we obtain, 1 1 − [2 + N 1 + N 2](1 − M ) Fig. 8. Subsystem section of modified trans-Z-source inverter with continuous input current and improved boost factor. (11) The switching frequency is 2KHz. Simple boost control technique is used in the following simulation with modulation indices of 0.7. The peak value of phase voltage from inverter output is represented by, The circuit is simulated with open loop control, in which, output voltage is controlled by varying amplitude of the reference sine wave and the positive and negative constants, i.e, modulation index M. The control technique used is simple boost control. Here, M is taken as 0.7. A discrete powergui of sample time 5*e-6 is given to increase the computation speed of simulation. Fig. 7 shows the simulink model of open loop operation of modified trans-Z-source inverter. B= v ph = M * B * V dc 2 (12) The overall dc-ac inversion gain is obtained as, G = M *B (13) IV. SIMULATION RESULTS To validate the operation of the modified trans-Z-source inverter, simulation has been carried out using MATLAB simulation tool. A simulation model of the proposed technique is developed in MATLAB/Simulink environment. Fig. 8 shows the subsystem section of control circuit. The control technique used here is simple boost control where a positive constant and a negative constant is compared with the triangular carrier wave to generate the shoot through pulses. Fig. 9 shows the PWM pulses obtained from simple boost. Six control pulses produced are given to the six switches. Fig. 10 shows the simulation output of input current waveform of modified trans-Z-source inverter. The input current is continuous in nature and the starting current is reduced to a value of 150A. Fig. 11 shows the simulation result shows the output voltage of inverter before filtering. The output voltage obtained is of square shaped. It has a value of about 550V. To make this into sine wave output, a low-pass LC filter is used on the output side of the inverter. Fig .12 shows the filtered output of modified trans-Z-source inverter. It has a rms value of about 135V. V. CONCLUSION Fig. 9. PWM control signals generated by simple boost control A modified trans-Z-source inverter topology with continuous input current, resonant current suppression and improved boost factor was introduced. The simple boost control strategy is implemented. By varying the shoot through duty ratio and transformer turns ratio, a wide range of output voltage is obtained. 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