Stability Boundary Analysis in Single-Phase Grid-Connected Inverters With PLL by LTP Theory

Salis, Valerio; Costabeber, Alessandro; Cox, Stephen M.; Zanchetta, Pericle; Formentini, Andrea

doi:10.1109/tpel.2017.2714860

Cited by 49 publications

(26 citation statements)

References 32 publications

(29 reference statements)

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“…The use of PE converters to couple RES to the grid can result in resonance and harmonic instability, particularly when used in significant number [57], [58] or if the control system is not adequately tuned [59]. A framework for determining the maximum amount of DG resources in a system while maintaining harmonic limits is given in [60].…”

Section: Grid Connection Of Renewablesmentioning

confidence: 99%

Harmonic reduction methods for electrical generation: a review

Fallows

Nuzzo

Costabeber

et al. 2018

IET Generation, Transmission & Distribution

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This paper provides a comprehensive literature review of techniques for harmonic related power quality improvement of electrical generation systems. An increasing interest in these aspects is due to the ever more stringent power quality requirements, deriving from new grid codes and compliancy standards, aimed at limiting waveform harmonic distortion at all points of the distribution network. Although a wealth of literature is available for such techniques, it has never been compiled into a handbook incorporating all the solutions aimed at both electrical machine and power systems engineers. IntroductionIn the world of electrical power generation, a main point of consideration has always been to achieve adequate performance in terms of power quality. In this context, an important factor is the generation, management and reduction/compensation of spatial and time harmonics throughout the whole power system. From the first developments in the mid-1800s of electrical power generation and distribution systems, harmonic content improvement and reduction has evolved from a localised generator design problem to an internationally regulated supply characteristic that must be considered at all points of the power distribution network.This paper is thus aimed to be a review of harmonic improvement techniques and methodologies, organised to follow and indicate the development timeline of these methods. Distribution level generation has been chosen as the focus to align with recent changes in grid topology caused by distributed and renewable generation. In this section, the paper begins by detailing the changing nature of power quality in distribution networks followed by a description of the main types of power quality issues and an overview of the key standards governing network limits. The focus then shifts to harmonic reduction procedures and methodologies. A review of harmonic reduction methods based around the design of rotating electrical generators is developed, followed by a review of modern methods applied to new generation systems, such as renewable sources.

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Section: Grid Connection Of Renewablesmentioning

confidence: 99%

Harmonic reduction methods for electrical generation: a review

Fallows

Nuzzo

Costabeber

et al. 2018

IET Generation, Transmission & Distribution

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“…A comprehensive review of the basics of LTP theory is reported in [31], [32], and only a brief summary is given here, mainly to clarify the notation. Once the steady-state operating conditions have been found from the NLTP system (7), the stability may be determined by linearising the NLTP system around the steady-state periodic operating trajectory [33], [34], which gives an LTP system on which the stability analysis is performed.…”

Section: Basic Theory For the Stability Analysis Of Ltp Systemsmentioning

confidence: 99%

“…This transformation is applied to all the matrices and vectors in (8). By suitable manipulations [31], the Harmonic State-Space Model (HSSM) of the LTP system can be derived as…”

Section: Basic Theory For the Stability Analysis Of Ltp Systemsmentioning

confidence: 99%

Stability Assessment of High-Bandwidth DC Voltage Controllers in Single-Phase Active Front Ends: LTI Versus LTP Models

Salis

Costabeber

Cox

et al. 2018

IEEE J. Emerg. Sel. Topics Power Electron.

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In recent years, a considerable effort has been made to minimise the size of DC-link capacitors in single-phase activefront-ends (SP-AFE), to reduce cost and to increase power density. As a result of the lower energy storage, a high-bandwidth outer DC voltage control loop is required to respond to fast load changes. Linearised modelling is usually performed according to the power-balance method and the control is designed using LTI techniques. This is done assuming negligible voltage ripple at twice the grid frequency, and the model is considered valid up to the grid frequency. However, its precise validity limits are usually unknown and the control design becomes empirical when approaching these boundaries. To overcome this drawback, Linear Time Periodic (LTP) theory can be exploited, defining the range of validity of the LTI model and providing precise stability boundaries for the DC-link voltage loop. The main result is that LTP models more accurately describe the system behaviour and provide superior results compared to the LTI ones. Theoretical analysis, simulations and extensive experimental tests on a 10 kW converter are presented to validate the claims.

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“…What is more, the MMC models in the time periodic framework were derived in [16], [17], which can achieve high accuracy, but still need lengthy algebra and are difficult to be used for harmonic interaction and stability analysis in power electronics interconnected systems. Fortunately, the harmonic state-space (HSS) modeling method [18]- [26] can overcome the above limitations. The HSS modeling is able to simultaneously represent multiple frequency responses in each variable and to build multi-dimensional harmonic transfer function based models [23].…”

Section: Introductionmentioning

confidence: 99%

Harmonic State-Space Based Small-Signal Impedance Modeling of a Modular Multilevel Converter With Consideration of Internal Harmonic Dynamics

Lyu

Zhang

Cai

et al. 2019

IEEE Trans. Power Electron.

243

117

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The small-signal impedance modeling of modular multilevel converter (MMC) is the key for analyzing resonance and stability of MMC-based power electronic systems. MMC is a power converter with a multi-frequency response due to its significant steady-state harmonic components in the arm currents and capacitor voltages. These internal harmonic dynamics may have great influence on the terminal characteristics of the MMC, which, therefore, are essential to be considered in the MMC impedance modeling. In this paper, the harmonic state-space (HSS) modeling approach is first introduced to characterize the multi-harmonic coupling behavior of the MMC. On this basis, the small-signal impedance models of the MMC are then developed based on the proposed HSS model of the MMC, which are able to include all the internal harmonics within MMC, leading to accurate impedance models. Besides, different control schemes for the MMC, such as open-loop control, ac voltage closed-loop control, and circulating current closed-loop control, have also been considered during the modeling process, which further reveal the impact of the MMC internal dynamics and control dynamics on the MMC impedance. Furthermore, an impedance-based stability analysis of the MMC-HVDC connected wind farm has been carried out to show how the HSS based MMC impedance model can be used in practical system analysis. Finally, the proposed

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Stability Boundary Analysis in Single-Phase Grid-Connected Inverters With PLL by LTP Theory

Cited by 49 publications

References 32 publications

Harmonic reduction methods for electrical generation: a review

Harmonic reduction methods for electrical generation: a review

Stability Assessment of High-Bandwidth DC Voltage Controllers in Single-Phase Active Front Ends: LTI Versus LTP Models

Harmonic State-Space Based Small-Signal Impedance Modeling of a Modular Multilevel Converter With Consideration of Internal Harmonic Dynamics

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