Harmonic State Space model of power electronics

Love, G.; Wood, Alan

doi:10.1109/ichqp.2008.4668792

Cited by 50 publications

(41 citation statements)

References 11 publications

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“…The harmonic state-space model, in which harmonics of state variables, inputs and outputs are posed separately in a state-space form, can be used for dynamic small-signal studies and for harmonic steady-state studies [19]. Letting the left side of (7) …”

Section: X(t) U(t) A(t) and B(t) Are Indicated As Followsmentioning

confidence: 99%

“…This paper focuses on the small-signal stability of MMC-HVDC connected wind farms by using impedance-based analysis method. In order to obtain an accurate MMC model, the harmonic state-space (HSS) modeling method [19], which is based on the linear time periodic (LTP) theory and is able to include all the harmonic dynamics, is introduced to model the MMC in this work.…”

Section: Introduction Modular Multilevel Converter-based High-voltmentioning

confidence: 99%

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Optimal Design of Controller Parameters for Improving the Stability of MMC-HVDC for Wind Farm Integration

Lyu

Cai

Molinas

2018

IEEE J. Emerg. Sel. Topics Power Electron.

154

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Section: X(t) U(t) A(t) and B(t) Are Indicated As Followsmentioning

confidence: 99%

Section: Introduction Modular Multilevel Converter-based High-voltmentioning

confidence: 99%

Optimal Design of Controller Parameters for Improving the Stability of MMC-HVDC for Wind Farm Integration

Lyu

Cai

Molinas

2018

IEEE J. Emerg. Sel. Topics Power Electron.

154

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“…However, since the coordinate transformations are usually not easily obtained [5], this method has not been widely used for modeling power converters. The second method is based on the harmonic state space (HSS) theory, proposed by Wereley [7], and has been used for modeling the Thyristor controlled reactor (TCR) [8], DC-DC converters [9], and a diode train [10].…”

Section: Introductionmentioning

confidence: 99%

Admittance matrices of voltage source converters for distributed generators

Lian

Huang

2014

2014 International Power Electronics Conference (IPEC-Hiroshima 2014 - ECCE ASIA)

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To integrate distributed generators (DGs) with the power grid, interfacing power converters such as voltage source converters (VSCs) are required. However, due to the switching natures, these converters generate harmonics, which may have detrimental effects on the system. To find out how these harmonics may interact with the grid, it is essential to find the admittance matrices of the converters. In this paper, a new proposed method will also be introduced, which can significantly increase the simulation efficiency. A Microgrid example will be presented, and the results are compared with those of brute-force time domain simulation such as PSCAD/EMTDC, demonstrating the validity of the proposed method.

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“…This approach allows to consider the converter modulation effects and the voltage loop frequency interactions. This approach has been used to analyze the stability of an inverter applied to a locomotive [4], a dc-dc boost converter [5], diode rectifiers [6], a buck boost converter [7], an active magnetic bearing system [8] and on-line identification of vehicle fuel consumption [9].…”

Section: Introductionmentioning

confidence: 99%

Stability analysis of half-bridge rectifier employing LTP approach

Scapini

Bellinaso

Michels

2012

IECON 2012 - 38th Annual Conference on IEEE Industrial Electronics Society

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Many control techniques applied to converters with power factor correction use cascaded control. These techniques usually ignore the periodic output voltage oscillation by using compensators with low-pass characteristic. This strategy result in voltage closed loop with poor dynamic response. In order to reduce the time-response, designers have associated notch filters into the controller to increase the bandwidth without compromising the power factor correction. However, the linear time invariant approach is no longer valid for stability analysis of such systems. In this case, a better dynamic representation can be achieved by using linear time-periodic models. This paper presents a systematic methodology for stability analysis of continuous control systems using harmonic transfer functions.In this paper, this methodology is applied to analyze the stability of the single-phase half-bridge rectifier. Simulation results are presented to validate the proposed technique. I. IN TRODUCTIONStatic converters are nonlinear systems due to the switching effect. Many modeling techniques have been developed in order to obtain Linear Time Invariant (LTI) models of these systems. Most of these techniques, consider a small-signal model around an operating point. Such as average state space model [1] and pulse width modulation switch model [2]. However, these approaches do not consider the intrinsic frequency conversion, present in these converters.Analyzing single-phase half-bridge rectifier, it converts an input ac voltage signal with frequency W I into a dc voltage together with a sinusoidal component of frequency 2Wl. This behavior can be analyzed as modulation effect, whose nature may not be described by LTI models [3]. The control structure most widely used for this type of converter has basically two feedback loops: an inner current loop with fast dynamic response and an outer voltage loop, whose dynamics is slow. Most control designs techniques presents a current loop bandwidth at least ten times faster than the voltage dynamics. The voltage loop bandwidth is designed to ensure attenuation of the output oscillation frequency. Given these considerations, both loops may be considered decoupled, and controllers can be designed independently using LTI techniques. In this case, voltage and current models are derived from small-signals modeling techniques. However, the voltage loop dynamic response is slow.Aiming to improve the voltage loop dynamic response without compromising the input power factor, some designers have proposed to include notch filters to the direct control loop tuned to output ripple frequencies. Thus, the feedback swell effects are mitigated, making it possible to increase the bandwidth of the voltage loop. However, the system dynamic behavior may no longer be properly described by small-signal models, which invalidates the stability analysis based on these models.A better representation of the system is achieved with linear time-varying periodic (LTP) models, which can be used to analyze the stability of t...

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Harmonic State Space model of power electronics

Cited by 50 publications

References 11 publications

Optimal Design of Controller Parameters for Improving the Stability of MMC-HVDC for Wind Farm Integration

Optimal Design of Controller Parameters for Improving the Stability of MMC-HVDC for Wind Farm Integration

Admittance matrices of voltage source converters for distributed generators

Stability analysis of half-bridge rectifier employing LTP approach

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