Simplified methods of the 3D-SVPWM for four-wire three-leg inverter
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ORIGINAL ARTICLE
Simplified methods of the 3D‑SVPWM for four‑wire three‑leg inverter Fathy H. Awad1 · Ahmed A. Mansour1 · Mostafa I. Marei2 · Ahmed A. El‑Sattar2 Received: 10 March 2020 / Revised: 29 July 2020 / Accepted: 8 August 2020 © The Korean Institute of Power Electronics 2020
Abstract This paper introduces a novel technique for simplification of a three-dimension space vector pulse width modulation (3D-SVPWM). Conventional SVPWM calculations are based on trigonometric functions or several decomposition matrices. Thus, a very fast embedded controller is needed either for two-dimension space vector pulse width modulation (2D-SVPWM) or 3D-SVPWM. The proposed simplified 3D-SVPWM is dedicated to four-wire three-leg inverters. This technique is based on first-order equations of the curve fitting technique to reduce calculation time. Therefore, this method can be implemented with low memory storage and Central Processing Unit (CPU) capability. In addition, high accuracy can be achieved using higher-order equations. Many approaches are introduced for simplifications. The applications of the proposed simplified 3D-SVPWM method are also provided. Simulation results of the proposed simplified 3D-SVPWM and the conventional 3D-SVPWM are discussed. Finally, the results are verified using a real-time simulator based on Typhoon device (402) as Hardware-In-the-Loop. In addition, the controller of the simplified method is implemented and operated on the C2000 LAUNCHXL-F28379D as a low-cost microcontroller kit. Keywords 2D-SVPWM · 3D-SVPWM · Three-leg four-wire · Mid capacitor point · HIL · Digital signal processor
1 Introduction Pulse width modulation (PWM) plays an important role in three-phase inverter applications. Space vector PWM (SVPWM) is widely used due to its high gain of DC voltage, superior harmonic minimization, and low switching losses. Therefore, SVPWM has become one of the most important PWM methods for three-phase inverters [1–3]. Three-phase three-wire inverter type is used for balanced systems. The two-dimension space vector pulse width modulation 2D-SVPWM is suitable for these applications due to its simplicity and high level of voltage gain [4–6]. The threephase four-wire inverter is necessary when energy exchange with a low voltage grid side is required. In addition, the uneven distribution of single-phase, unsymmetrical loads, or unsymmetrical sources i.e., photovoltaic (PV) requires configuration of the four-wire inverter. Power quality problems, * Fathy H. Awad [email protected] 1
Power Electronics and Energy Conversion Department, Electronics Research Institute, Cairo, Egypt
Electrical Power and Machine Department, Faculty of Engineering, Ain Shams University, Cairo, Egypt
2
such as negative and zero sequence currents, can be compensated using the four-wire inverters [4, 7, 8]. These four-wire inverters have many different topologies, such as the mid capacitor point inverter shown in Fig. 1, the four-leg inverter, and the three independent single-phase H-bridge [9]. The three-phas
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