On Existence and Stability of Equilibria of Linear Time-Invariant Systems With Constant Power Loads

Barabanov, Nikita; Ortega, Roméo; Griñó, Robert; Polyak, B. T.

doi:10.1109/tcsi.2015.2497559

Cited by 97 publications

(89 citation statements)

References 11 publications

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“…It has been observed in experiments and simulations that the presence of constant power devices may seriously affect the dynamics of linear RLC circuits hindering the achievement of a constant, stable behavior of the state variables-the dc voltages in the present case [10], [20]- [22]. A first objective is thus to determine conditions on the free control parameters of the system (II.18)-(II.19) that guarantee the existence of an equilibrium point.…”

Section: Conditions For Existence Of An Equilibrium Pointmentioning

confidence: 99%

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A tool for power flow analysis of a generalized class of droop controllers for high-voltage direct-current transmission systems

Zonetti

Ortega

Schiffer

2016

2016 IEEE 55th Conference on Decision and Control (CDC)

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Abstract-The problem of primary control of high-voltage direct current transmission systems is addressed in this paper, which contains three main contributions. First, to propose a new nonlinear, more realistic, model for the system suitable for primary control design, which takes into account nonlinearities introduced by conventional inner controllers. Second, to determine necessary conditions-dependent on some free controller tuning parameters-for the existence of equilibria. Third, to formulate additional (necessary) conditions for these equilibria to satisfy the power sharing constraints. The usefulness of the theoretical results is illustrated via numerical calculations on a four-terminal example.

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Section: Conditions For Existence Of An Equilibrium Pointmentioning

confidence: 99%

“…In order to present the main result on existence of equilibria for the system (II.18), we further recall the following lemma, the proof of which can be found in [10].…”

Section: Conditions For Existence Of An Equilibrium Pointmentioning

confidence: 99%

A tool for power flow analysis of a generalized class of droop controllers for high-voltage direct-current transmission systems

Zonetti

Ortega

Schiffer

2016

2016 IEEE 55th Conference on Decision and Control (CDC)

Self Cite

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“…To improve the stability scenario of the microgrid system, several linear and nonlinear control techniques have already been adopted [8,9]. Besides that, researchers and professionals have been conducting cutting-edge research to enhance the system stability around the world [10].…”

Section: Introductionmentioning

confidence: 99%

Investigation on the Development of a Sliding Mode Controller for Constant Power Loads in Microgrids

et al. 2017

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Abstract:To implement renewable energy resources, microgrid systems have been adopted and developed into the technology of choice to assure mass electrification in the next decade. Microgrid systems have a number of advantages over conventional utility grid systems, however, they face severe instability issues due to the continually increasing constant power loads. To improve the stability of the entire system, the load side compensation technique is chosen because of its robustness and cost effectiveness. In this particular occasion, a sliding mode controller is developed for a microgrid system in the presence of constant power loads to assure a certain control objective of keeping the output voltage constant at 480 V. After that, a robustness analysis of the sliding mode controller against parametric uncertainties was performed and the sliding mode controller's robustness against parametric uncertainties, frequency variations, and additive white Gaussian noise (AWGN) are presented. Later, the performance of the proportional integral derivative (PID) and sliding mode controller are compared in the case of nonlinearity, parameter uncertainties, and noise rejection to justify the selection of the sliding mode controller over the PID controller. All the necessary calculations are reckoned mathematically and results are verified in a virtual platform such as MATLAB/Simulink with a positive outcome.

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Section: Introductionmentioning

confidence: 99%

Investigation on Development of Sliding Mode Controller for Constant Power Loads in Microgrids

Hossain¹,

Perez²,

Padmanaban³

et al. 2017

Preprint

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Abstract:To implement renewable energy resources, microgrid systems have been adopted and developed into the technology of choice to assure mass electrification in the next decade. Microgrid systems have a number of advantages over the conventional utility grid systems, however, it faces severe instability issues due to continually increasing constant power loads. To improve the stability of the entire system, load side compensation technique is chosen because of its robustness and cost effectiveness. In this particular occasion, a sliding mode controller is developed for microgrid system in the presence of CPL to assure certain control objective of keeping the output voltage constant at 480V. After that, the robustness analysis of the sliding mode controller against parametric uncertainties is presented. The sliding mode controller robustness against parametric uncertainties, frequency variations, and additive white Gaussian noise (AWGN) are illustrated in this paper. Later, the performance of the PID and sliding Mode controller is compared in case of nonlinearity, parameter uncertainties, and noise rejection to justify the selection of Sliding Mode controller over PID controller. All the necessary calculations are reckoned mathematically and results are verified in the virtual platform such as MATLAB/Simulink with the appreciable outcome.

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On Existence and Stability of Equilibria of Linear Time-Invariant Systems With Constant Power Loads

Cited by 97 publications

References 11 publications

A tool for power flow analysis of a generalized class of droop controllers for high-voltage direct-current transmission systems

A tool for power flow analysis of a generalized class of droop controllers for high-voltage direct-current transmission systems

Investigation on the Development of a Sliding Mode Controller for Constant Power Loads in Microgrids

Investigation on Development of Sliding Mode Controller for Constant Power Loads in Microgrids

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