Stability of DC Distribution Systems: An Algebraic Derivation

Blij, Nils H. van der; Ramírez-Elizondo, Laura; Spaan, Matthijs T. J.; Bauer, Pavol

doi:10.3390/en10091412

Cited by 12 publications

(7 citation statements)

References 43 publications

(55 reference statements)

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“…Algebraically deriving these coefficients for complex systems results in long equations for each coefficient. However, the results for a few simpler systems confirm the observations from the previous subsection [24].…”

Section: B Complex DC Distribution Systemsupporting

confidence: 88%

Stability of DC Distribution Systems: Analytical and Experimental Results

Blij

Ramírez-Elizondo

Spaan

et al. 2019

2019 IEEE Third International Conference on DC Microgrids (ICDCM)

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Constant power loads combined with low inertia form a major challenge for future distribution grids. This paper presents a state-space representation to model dc distribution systems. Two methods are discussed to analyze the (small-signal) stability of these dc distribution systems; an algebraic method and a Brayton-Moser method. The system models and the methods for stability analysis were verified using an experimental dc microgrid setup. Furthermore, it was found that the instability of dc distribution systems can be classified into two categories: equilibrium instability and oscillatory instability.

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Section: B Complex DC Distribution Systemsupporting

confidence: 88%

Stability of DC Distribution Systems: Analytical and Experimental Results

Blij

Ramírez-Elizondo

Spaan

et al. 2019

2019 IEEE Third International Conference on DC Microgrids (ICDCM)

Self Cite

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“…However, it requires a more sophisticated digital platform for its implementation. Additionally, as seen in Table 1, several controllers are validated with only numerical simulations [10][11][12][13][15][16][17]19]. In contrast, this proposed controller offers a good dynamic response in comparison with the previous…”

Section: Sum Of Squaresmentioning

confidence: 99%

“…Additionally, two methods were proposed and compared for the calculation of the region of attraction; it was stated that a reduction of the estimation was achieved by increasing the degree of a Lyapunov function. Furthermore, [12] reported a generalized method to algebraically analyze the stability of DC distribution systems. The authors derive necessary and sufficient conditions for stability by algebraically determining the system's eigenvalues.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Robust Control for Low Voltage Direct-Current Residential Microgrids with Constant Power Loads

et al. 2018

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A Direct Current (DC) microgrid is a concept derived from a smart grid integrating DC renewable sources. The DC microgrids have three particularities: (1) integration of different power sources and local loads through a DC link; (2) on-site power source generation; and (3) alternating loads (on-off state). This kind of arrangement achieves high efficiency, reliability and versatility characteristics. The key device in the development of the DC microgrid is the power electronic converter (PEC), since it allows an efficient energy conversion between power sources and loads. However, alternating loads with strictly-controlled PECs can provide negative impedance behavior to the microgrid, acting as constant power loads (CPLs), such that the overall closed-loop system becomes unstable. Traditional CPL compensation techniques rely on a damping increment by the adaptation of the source or load voltage level, adding external circuitry or by using some advanced control technique. However, none of them provide a simple and general solution for the CPL problem when abrupt changes in parameters and/or in alternating loads/sources occur. This paper proposes a mathematical modeling and a robust control for the basic PECs dealing with CPLs in continuous conduction mode. In particular, the case of the low voltage residential DC microgrid with CPLs is taken as a benchmark. The proposed controller can be easily tuned for the desired response even by the non-expert. Basic converters with voltage mode control are taken as a basis to show the feasibility of this analysis, and experimental tests on a 100-W testbed include abrupt parameter changes such as input voltage.

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“…The modular square transfer function of the matching most flat response algorithm at the frequencies of Ω p and Ω s can be obtained using Equation (1), as expressed in Equation (5). C can be obtained using Equation (6). Thus, the value of C depends on the passband attenuation α p .…”

Section: Design and Characteristic Analysis Of DC Filtersmentioning

confidence: 99%

“…Considering the increasing use of distributed generation, electric vehicles, energy storage, and energy efficient loads that generate or consume direct current (DC) power, DC distribution networks offer a promising alternative to their alternating current (AC) counterpart [1][2][3][4]. The improved compatibility between DC devices and a DC power backbone reduces and simplifies the power conversion steps, thereby reducing power conversion losses and increasing the component-level reliability [5][6][7][8]. However, similar to the AC distribution network, DC distribution networks with intermittent renewable energy sources (RES) and variable load demands cause power imbalances and subsequently generate a voltage variation in the DC bus [7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Design of Low-Ripple and Fast-Response DC Filters in DC Distribution Networks

2018

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The design and parameter selection of low-ripple and fast-response direct current (DC) filters are discussed in this study with the aim of alleviating the influence of a DC-side low-frequency voltage pulsation on a sensitive load in a DC distribution network. A method for determining the DC filter parameters by using a mofatching most flat response algorithm is presented. The voltage transfer function of the DC-side filter in the DC distribution network is deduced to analyze its voltage transfer characteristics. The resonance peak value of the filter network is an important factor affecting the transfer speed of a filter. A pole-circle-based parameter optimization method is proposed to move the poles of the filter transfer function down and to the left of pole plane for finding the appropriate capacitance, inductance, and damping parameters. This approach effectively restricts the resonance peak value, accelerates the transfer speed, and maintains steady filtering results. Simulation and test results verify that the filter has low resonance value, rapid convergence ability, and an excellent filtering effect.Energies 2018, 11, 3128 2 of 20 into two categories: active power filtering (APF) [19][20][21][22][23] and passive power filtering (PPF) [24][25][26][27][28][29]. APF can eliminate DC voltage fluctuation dynamically by paralleling the voltage converter on the DC side. For example, Wang et al. [20] proposed eliminating harmonics in the DC bus voltage with a DC electric spring. This approach adjusts the consumption power of a non-critical load to make it follow the power variation of renewable energy. However, the ability of this method to eliminate voltage harmonics is limited considering the restricted power of non-critical loads. In Li et al. [19], a pluggable voltage pulsation suppression device was designed to realize flexible control of the voltage ripple in an AC/DC hybrid distribution network. However, adding a device at each node evidently increased the cost of investment. Lee et al. [21] suggested suppressing DC voltage pulsation using an energy storage device in the DC distribution network and controlling the converters. However, the control method is complex and the operation and maintenance costs of the energy storage device are high. In Li et al.[23], a ripple eliminator, which is a bidirectional buck-boost converter terminated with an auxiliary capacitor, was adopted to replace bulky capacitors in DC systems. Although the APF is effective at eliminating voltage harmonics, designing and controlling DC APF is complex and costly [22]. In addition, APF is rarely used in DC distribution networks with large capacity and high voltage given its limitations. The DC passive filter design is simple without the additional of a controller, acting as the main DC voltage filter in the DC distribution network. DC passive filters are mainly divided into tuned and low-pass filters. The former has a large occupational area and minimal flexibility [27]. The latter can filter the harmonics after a cut-off frequency...

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Stability of DC Distribution Systems: An Algebraic Derivation

Cited by 12 publications

References 43 publications

Stability of DC Distribution Systems: Analytical and Experimental Results

Stability of DC Distribution Systems: Analytical and Experimental Results

Nonlinear Robust Control for Low Voltage Direct-Current Residential Microgrids with Constant Power Loads

Design of Low-Ripple and Fast-Response DC Filters in DC Distribution Networks

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