Average modeling of three-phase and nine-phase diode rectifiers with improved AC current and DC voltage dynamics

Zhu, Huiyu; Burgos, Rolando; Lacaux, F.; Uan-Zo-li, A.; Lindner, Douglas K.; Wang, F.; Boroyevich, Dushan

doi:10.1109/iecon.2005.1569045

Cited by 30 publications

(17 citation statements)

References 10 publications

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“…In (1), current 0 is the instantaneous DC current flowing through the DC inductor halfway through commutation, is the overlap angle, is the firing angle of the bridge switches and is the rate of rise of DC current with respect to . Reference [6] contains the average value equations for Mode 1 and the overlap angle function for Mode 1. In this section, the derivation is extended for Mode 2 and Mode 3 operation of the rectifier.…”

Section: Analytical Modelsmentioning

confidence: 99%

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Dynamic modeling of short-circuit behavior of a six-pulse rectifier

Murali

Santoso

2011

2011 IEEE Electric Ship Technologies Symposium

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Existing models describing the dynamic behavior of a six-pulse rectifier during a short-circuit fault condition are derived from switch models using average value parametric functions. Unlike these models, new non-parametric dynamic models have been developed using analytical average-value modeling approach. In this modeling approach, depending upon the number of switches conducting during a switching cycle, the operating point of the rectifier is brought into one of three modes of operation of a six-pulse rectifier. The model for each mode is represented by a differential equation and the operating model is selected based on firing angle and overlap angle functions derived in this paper. They completely characterize the dynamic behavior of current flowing through the DC inductor for a wide range of operating conditions with the exception of harmonics and asymmetrical currents which are dominant for faults occuring at the terminals of the rectifier upstream of the smoothing inductor. I. INTRODUCTIONPhase controlled rectifiers are used in a number of applications like HVDC transmission, brushless synchronous machine excitation, variable speed electric drives, DC traction power systems and it is also considered for shipboard power systems. A dynamic model of the rectifier is useful for design and assessment of protection and stability of the power supply systems.A six-pulse rectifier supplied by a a thevenin equivalent AC source has been considered for analysis in this paper. The short-circuit AC impedance can be used to model rectifier transformer leakage reactance and the AC source emf can be considered as infinite bus AC voltage source. Steady-state and transient analysis for the above mentioned model has been performed in many literatures.In [1], a steady-state model of the rectifier has been analyzed with an explanation of modes of operation of the rectifier for various DC load currents. In another model presented by Denning an envelope of AC short-circuit current waveform of the rectifier is used for estimating DC short-circuit current close to the rectifier. This model was further analyzed by Pozzobon in [2]. According to [3], a model proposed by Fujimura and Honda estimates high impedance DC fault current and initial rate of rise by using an equivalent DC circuit model consisting of a DC voltage source and a series resistor and an inductor calculated with three-diode conduction pattern.Analytical and parametric average value models (AVM) of six-pulse rectifier have been presented in [4], and [5]. These AVMs are capable of determining the dynamics of

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Section: Analytical Modelsmentioning

confidence: 99%

“…Analytical models for the rectifier have been derived using the method defined in [6]. In this method the DC current flowing through the filter inductor is assumed to be smooth enough to be represented approximately with first order Taylor series,…”

Section: Analytical Modelsmentioning

confidence: 99%

Dynamic modeling of short-circuit behavior of a six-pulse rectifier

Murali

Santoso

2011

2011 IEEE Electric Ship Technologies Symposium

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“…The dynamic average models for six-pulse converters can be generally developed using two main approaches: analytical [28,29,34,[49][50][51] and parametric [30,31]. Using the first approach, the system variables are analytically averaged over a typical switching interval [28], and the system state and algebraic equations are derived.…”

Section: Dynamic Average Modellingmentioning

confidence: 99%

“…Other challenges of the analytical approach include the difficulty of establishing closed-form explicit equations describing the system in more complicated configurations, for example, machine-fed converter systems (Case II in Figure 10.1) [29,50,51]. In many cases, the final model will be implicit and would [28,29,34,[49][50][51] for voltage-source and machine-fed converters. For example, the model presented in [28], in addition to only being valid in CCM-1 mode, also neglects the resistance on the AC side, r s in Figure 10.6.…”

Section: Dynamic Average Modellingmentioning

confidence: 99%

“…However, as the number of pulses increases, the complexity of switching pattern and the number of possible operational modes increases as well. The possibility of multiple operating modes makes the analytical derivations quite challenging [30][31][32][33][34]. These challenges may be overcome using the parametric approach in which the final AVM is assumed to have a well-defined structure, and the key model parameters are numerically extracted using the detailed simulations.…”

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confidence: 99%

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Dynamic Average Modelling of Rectifier Loads and AC‐DC Converters for Power System Applications

Martínez-Velasco¹

2014

Transient Analysis of Power Systems

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Average value modeling of six‐pulse diode rectifier considering unbalance conditions in supply voltage and impedance

Rahnama

Vahedi

Mohammad‐Alikhani

et al. 2019

Int Trans Electr Energ Syst

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Summary Diode rectifiers are widely used in many applications, and therefore, there is a need for an accurate model to study the rectifiers. Because of the complexity and time consuming of the analytical model of rectifiers, the average value modeling has been introduced. This paper proposes a novel average value model (AVM) for the line‐commutated rectifier bridge supplied with an unbalanced power source. The unbalance condition, here, refers to the asymmetry of the three‐phase voltage magnitude and the three‐phase impedance, which is possible due to the occurrence of asymmetry in the sources with winding such as power sources, generators, and transformers. According to the three‐phase input current of the rectifier, one cycle is divided into some intervals, and the differential equation for each interval is provided. Then, utilizing these equations, the average value of the derivative of the load current is derived from which the average value of the load current and voltage can be calculated. The proposed AVM is then verified using simulation and experimental results for the diode rectifier bridge with the load of the brushless synchronous generator field winding. Besides, the model is investigated for different load and supply parameters.

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Average modeling of three-phase and nine-phase diode rectifiers with improved AC current and DC voltage dynamics

Cited by 30 publications

References 10 publications

Dynamic modeling of short-circuit behavior of a six-pulse rectifier

Dynamic modeling of short-circuit behavior of a six-pulse rectifier

Dynamic Average Modelling of Rectifier Loads and AC‐DC Converters for Power System Applications

Average value modeling of six‐pulse diode rectifier considering unbalance conditions in supply voltage and impedance

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