Small-Signal Stability in Low-Voltage DC-Grids

Garcés, Alejandro; Herrera, J.; Montoya, Oscar Danilo

doi:10.1109/andescon.2018.8564601

Cited by 2 publications

(7 citation statements)

References 11 publications

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“…To verify the performance of the selected methods, four radial test systems composed of 10, 21, 33, and 69 buses were employed. Test systems with 10 and 21 buses were taken from [22,33]. The 33and 69-bus test systems are modified versions of systems used in AC networks [46,48].…”

Section: Discussionmentioning

confidence: 99%

“…In Equation (33), t represents the iterative counter, and the condition t = 0 corresponds to the initial solution, denoted by v 0 d : plane voltages in per-unit representation. Then, by applying Kirchhoff's laws for each closed loop between the slack bus and other buses, and by using Equations (29) and (30), it is possible to find the recursive equation that allows calculating the voltage profiles in the buses other than the voltage-controlled bus:…”

Section: Backward/forward Sweep Methods (Bf)mentioning

confidence: 99%

“…They established the improvement of convergence and the processing time required by the solution method as the performance criteria. Furthermore, the authors used different radial and mesh test systems, such as 10-, 21-, 33-, and 69-bus test systems [31,33], with the aim of evaluating the effectiveness and robustness of the proposed solution methods. Finally, it is important to stress that most methods proposed in the last few years to solve the DC PF are based on sequential programming to eliminate the use of specialized software, owing to the aforementioned drawbacks.…”

Section: Literature Reviewmentioning

confidence: 99%

“…The test systems composed of 10 and 69 buses were modified by adding multiple branches to obtain its equivalent mesh structure. The test systems with 10 and 21 buses were taken from the literature [22,33]. The test systems with 33 and 69 buses are modifications of test systems used in AC networks [46][47][48].…”

Section: Test Systemsmentioning

confidence: 99%

“…The 21-bus test system was reported in [33]. This electrical DC network is formed by 21 buses and 20 branches.…”

Section: -Bus Test Systemmentioning

confidence: 99%

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A Comparative Study on Power Flow Methods for Direct-Current Networks Considering Processing Time and Numerical Convergence Errors

et al. 2020

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This study analyzes the numerical convergence and processing time required by several classical and new solution methods proposed in the literature to solve the power-flow problem (PF) in direct-current (DC) networks considering radial and mesh topologies. Three classical numerical methods were studied: Gauss–Jacobi, Gauss–Seidel, and Newton–Raphson. In addition, two unconventional methods were selected. They are iterative and allow solving the DC PF in radial and mesh configurations. The first method uses a Taylor series expansion and a set of decoupling equations to linearize around the desired operating point. The second method manipulates the set of non-linear equations of the DC PF to transform it into a conventional fixed-point form. Moreover, this method is used to develop a successive approximation methodology. For the particular case of radial topology, three methods based on triangular matrix formulation, graph theory, and scanning algorithms were analyzed. The main objective of this study was to identify the methods with the best performance in terms of quality of solution (i.e., numerical convergence) and processing time to solve the DC power flow in mesh and radial distribution networks. We aimed at offering to the reader a set of PF methodologies to analyze electrical DC grids. The PF performance of the analyzed solution methods was evaluated through six test feeders; all of them were employed in prior studies for the same application. The simulation results show the adequate performance of the power-flow methods reviewed in this study, and they permit the selection of the best solution method for radial and mesh structures.

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Section: Discussionmentioning

confidence: 99%

Section: Backward/forward Sweep Methods (Bf)mentioning

confidence: 99%

Section: Literature Reviewmentioning

confidence: 99%

Section: Test Systemsmentioning

confidence: 99%

“…The 21-bus test system was reported in [33]. This electrical DC network is formed by 21 buses and 20 branches.…”

Section: -Bus Test Systemmentioning

confidence: 99%

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A Comparative Study on Power Flow Methods for Direct-Current Networks Considering Processing Time and Numerical Convergence Errors

et al. 2020

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Small-Signal Stability Analysis for Multi-Terminal LVDC Distribution Network Based on Distributed Secondary Control Strategy

Zhou

Wang

et al. 2021

Electronics

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This paper presents a detailed and accurate small-signal analysis model for a four-terminal low-voltage direct current (LVDC) distribution network with distributed secondary control strategy. To tackle the contradiction between power sharing accuracy and average voltage recovery ability of voltage source converters (VSCs), a distributed secondary control strategy is adopted, which is based on average consensus algorithm and local voting protocol. Furthermore, to analyze the stability of LVDC distribution network based on the proposed distributed secondary control strategy, a detailed and accurate small-signal analysis model is formulated which is derived from various non-linear state-space sub-models. The time-domain simulation and electromagnetic simulation are carried out to verify the validity and accuracy of the proposed model. Based on this model, the influence rules of main eigenvalues are summarized with the variation of PI control and DC line parameters. Time-domain simulations conducted in PSCAD are used to validate the operational limits of the secondary controllers and DC line obtained from the small-signal stability analysis.

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Small-Signal Stability in Low-Voltage DC-Grids

Cited by 2 publications

References 11 publications

A Comparative Study on Power Flow Methods for Direct-Current Networks Considering Processing Time and Numerical Convergence Errors

A Comparative Study on Power Flow Methods for Direct-Current Networks Considering Processing Time and Numerical Convergence Errors

Small-Signal Stability Analysis for Multi-Terminal LVDC Distribution Network Based on Distributed Secondary Control Strategy

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