A Harmonic Frequency Domain Modeling Method for Single-Phase Full Bridge Rectifiers
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A Harmonic Frequency Domain Modeling Method for Single-Phase Full Bridge Rectifiers Gabriel Malagon-Carvajal1
· Cesar Duarte1
· Gabriel Ordoñez-Plata1
· C. F. M. Almeida2 · Nelson Kagan2
Received: 14 March 2019 / Revised: 14 June 2020 / Accepted: 16 June 2020 © Brazilian Society for Automatics–SBA 2020
Abstract The increase in power electronic (PE) devices has caused a wide penetration of Switch Mode Power Supply (SMPS)-based loads, which include single-phase full bridge rectifiers. Therefore, potential problems on power quality may also increase. Thus, the modeling and harmonic analysis of SMPSs are useful to assess the contribution on current distortion and the impact of several of these loads connected on a low-voltage network. However, an assessment of multiple loads considering the interactions between them and the equivalent system impedance together with the voltage distortion and the harmonic phase angle dispersion represents a challenge on harmonic modeling. This paper proposes the use of a SMPS Time Domain Model (TDM) to compute synthetic signals which are used to fit a Frequency Domain Model (FDM) that allows the estimation of the harmonic current distortion with lower computation cost than a Time Domain simulation. Moreover, this paper proposes a probability approach to compute this FDM rather than a regular deterministic approach. The proposed approach is based on the signals that more likely to be present over a time and to comply with the limits proposed by distortion standards or possible phase angle operation points. The FDMs results from the proposed and regular approaches are compared with respect to the TDM through the magnitude relative error and phase angle absolute error on MATLAB platform. The study reveals that despite the approaches have the same computational cost, the proposed approach is more effective than the regular approach for computing accurate FDMs for an SMPS. Keywords Power electronic devices · Switch mode power supply · Harmonic load modeling · Frequency domain models
1 Introduction Today, PE devices are widely adopted in residential sectors, e.g., Photovoltaic Inverters (PVI), Electric Vehicle Battery
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Gabriel Malagon-Carvajal [email protected] Cesar Duarte [email protected] Gabriel Ordoñez-Plata [email protected] C. F. M. Almeida [email protected] Nelson Kagan [email protected]
1
Department of Electric, Electronic and Telecommunications Engineering E3T, Universidad Industrial de Santander UIS, Bucaramanga, Colombia
2
Department of Electrical Engineering, Polytechnic School, Universidade de São Paulo, São Paulo, Brazil
Chargers (EVBC) or Switch Mode Power Supply (SMPS)based home appliances. Thereby, many consumers using these PE devices (e.g., using different home appliances) can generate harmonic currents which flow through the electrical network distorting the voltage waveform (Ribeiro et al. 2011). Thus, the characterization and modeling of PE loads are pertinent research topics (Salles et al. 2012) since they allow evaluating the possible imp
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