Dynamic harmonic evolution using the extended harmonic domain

Rico, J.J.; Madrigal, M.; Acha, E.

doi:10.1109/tpwrd.2003.809731

Cited by 116 publications

(86 citation statements)

References 15 publications

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“…The nonlinear operations in controllers using distorted signals obtained from measurements derive in harmonic cross- [36], which tie the entire harmonic spectrum, so that the high order harmonic are mapped into the low order harmonics. In addition, previous contributions have exposed that harmonic interactions phenomena arise in controlled microgrids; however, they have not been still fully explored and understood [1], [9], [13], [37].…”

Section: Fast-time Domain Harmonic Assessmentmentioning

confidence: 99%

Harmonic Issues Assessment on PWM VSC-Based Controlled Microgrids Using Newton Methods

Tinajero

Segundo

Gallardo

et al. 2018

IEEE Trans. Smart Grid

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Abstract-This paper presents the application of Newton-based methods in the time-domain for the computation of the periodic steady state solutions of microgrids with multiple distributed generation units, harmonic stability and power quality analysis. Explicit representation of the commutation process of the power electronic converters and closed-loop power management strategies are fully considered. Case studies under different operating scenarios are presented: grid-connected mode, islanded mode, variations in the Thevenin equivalent of the grid and the loads. Besides, the close relation between the harmonic distortion, steady state performance of the control systems, asymptotic stability and power quality is analyzed in order to evaluate the importance and necessity of using full models in stressed and harmonic distorted scenarios.

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Section: Fast-time Domain Harmonic Assessmentmentioning

confidence: 99%

Harmonic Issues Assessment on PWM VSC-Based Controlled Microgrids Using Newton Methods

Tinajero

Segundo

Gallardo

et al. 2018

IEEE Trans. Smart Grid

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“…The DHD and the numerical approximation together form a simple but powerful approach for complete harmonic analysis under both transient state and steady-state conditions of power systems [20]. The DHD is a formulation based on orthogonal bases, operational matrices, Fourier series, and approximation of operators.…”

Section: Companion Harmonic Circuit Modellingmentioning

confidence: 99%

“…Equation (2) computes the time evolution of the harmonics as a window of length T that slides over the waveform x(t). In [20], it is well explained that the state-space equation…”

Section: Companion Harmonic Circuit Modellingmentioning

confidence: 99%

“…This characteristic is very important since in many cases it is difficult to obtain a steady-state solution of a dynamic non-linear system [20,21].…”

Section: Companion Harmonic Circuit Modellingmentioning

confidence: 99%

“…One of the advantages of the use of the dynamic harmonic domain is its performance on steady-state calculation [20]. Applying this property of the DHD, the following model that describes the steady state for the induction machine is obtained,…”

Section: Steady-state Induction Machine Modelmentioning

confidence: 99%

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Harmonic Modelling of the Wind Turbine Induction Generator for Dynamic Analysis of Power Quality

et al. 2018

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Abstract:Given the increasing integration of wind-based generation systems into the electric grid, efforts have been made to deal with the problem of power quality associated with the intermittent nature of these systems. This paper presents a new modelling approach oriented towards harmonic distortion analysis of the induction machine for wind power applications. The model is developed using companion harmonic circuit modelling, which is a natural approach for analysis of the adverse effects of harmonic distortion in electric power systems, and represents an easier solution method than the well known dynamic harmonic domain, since it solves algebraic equations instead of state-space differential equations. The structure of the companion circuits simplifies both the formulation and solution for power systems with wind-based generation systems. This approach is especially useful for analysis of the harmonic interaction in transient and steady states between the wind power generator and the power system, whose interconnection is made through electronic converters. The proposed model allows us to compute the dynamics of the wind turbine, which are influenced by disturbances such as changes in the wind velocity, voltage fluctuations, electric waveform distortion, and mechanical vibrations, among other factors. Moreover, the cross-coupling between harmonic components at different frequencies is considered. The proposed model represents an integral framework of the electrical and mechanical subsystems of a wind turbine, allowing for analysis of the interactions between them, and understanding power quality degradation behaviour as well as causes and consequences, while also giving useful information on the field of simulation and control. To test the performance of the proposed model, a test power system is used to obtain the behaviour of a wind turbine induction generator in response to typical power quality disturbances, i.e., harmonic distortion, and voltage sags and swells. Then, the dynamics of the variables considering their harmonic interactions are analysed.

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Experimental validation of the harmonic state-space model of a Graetz bridge converter

Hwang

Das

Wood

et al. 2013

Int. Trans. Electr. Energ. Syst.

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SUMMARY This paper presents the first experimental validation of a Harmonic State‐Space (HSS) model. The HSS framework is capable of capturing the transient evolution of harmonics as well as their steady‐state, and the frequency cross‐coupling nature of power electronic circuits is fully represented. The HSS requires non‐linear power electronic circuits to be linearised around an operating point in the harmonic domain through small‐signal approximation. This modelling approach converts a non‐linear time‐varying system into a linear time‐invariant system. An HSS model of a 6‐pulse thyristor based rectifier has been coded in MATLAB and validated against results from an experimental setup. Copyright © 2013 John Wiley & Sons, Ltd.

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Dynamic harmonic evolution using the extended harmonic domain

Cited by 116 publications

References 15 publications

Harmonic Issues Assessment on PWM VSC-Based Controlled Microgrids Using Newton Methods

Harmonic Issues Assessment on PWM VSC-Based Controlled Microgrids Using Newton Methods

Harmonic Modelling of the Wind Turbine Induction Generator for Dynamic Analysis of Power Quality

Experimental validation of the harmonic state-space model of a Graetz bridge converter

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