Chordal Relaxation Based ACOPF for Unbalanced Distribution Systems With DERs and Voltage Regulation Devices

Liu, Yikui; Li, Jie; Ortmeyer, T.H.

doi:10.1109/tpwrs.2017.2707564

Cited by 46 publications

(46 citation statements)

References 23 publications

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“…From day 1 to day 4 one can figure out that along with the form of PCE, the discord rate is decreasing, which suggests better user comfort and smoother control. A centralized control that can derive the optimal adjustment for each participating user is implemented [48,49] as the benchmark. The controller solves an optimization problem by the full non-linear network model (Alternating Current Optimal Power Flow, ACOPF).…”

Section: Simulation Results and Remarksmentioning

confidence: 99%

Distributed Optimization in Low Voltage Distribution Networks via Broadcast Signals †

Wei¹

2019

Energies

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With the development of distributed energy resources, the low voltage distribution network (LVDN) is supposed to be the integrator of small distributed energy sources. This makes the users in LVDNs multifarious, which leads to more complex modeling. Additionally, data acquisition could be tricky due to rising privacy concerns. These impose severe demands on control schemes in LVDNs that the classical centralized control might not be able to fulfill. To tackle this, a model-free control approach with distributed decision-making architecture is proposed in this paper. Employing statistical methods and game theory, individual users in LVDNs achieve local optimum autonomously. Comparing to conventional approaches applied in LVDNs, the proposed approach is able to achieve active control with less communication burden and computational resources. The paper proves the convergence to the Nash Equilibrium (NE) and uses player compatible relations to form the specific equilibrium. A variant of the log-linear trial and error learning process is applied in a novel "suggest-convince" mechanism to implement the proposed approach. In the case study, a 103 nodes test network based on a real Belgian semiurban LVDN is illustrated. The proposed approach is validated and analyzed with practical load profiles on the 103 nodes network. In addition to that, centralized control is implemented as a benchmark to show the performance of the proposed approach by comparing it with the classical optimization result. The results demonstrate that the proposed approach is able to achieve player compatible equilibrium in an expected way, resulting in a good approximation to the local optimum.

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Section: Simulation Results and Remarksmentioning

confidence: 99%

Distributed Optimization in Low Voltage Distribution Networks via Broadcast Signals †

Wei¹

2019

Energies

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“…The trilinear matrix constraint in taps and voltages is further relaxed to a linear constraint that bounds the diagonals of the SDP variable using minimum and maximum tap changes per phase. By using the radial topology of distribution networks to improve computation time, [19] leverages the chordal SDP relaxation of the admittance-based OPF. Further, the trilinear matrix constraint in taps and voltages is relaxed into a linear semidefinite matrix constraint that implicitly assumes that taps on every phase of the SVR are equal (gang-operated).…”

Section: A Literature Reviewmentioning

confidence: 99%

“…This assumption is typical of works considering tap optimization of SVRs, see e.g., [18], [19]. Under Assumption 2 holds, the taps span the interval [− 16, +16].…”

Section: Assumption 2 (Continuous Turns Ratios) Effective Turns Ratimentioning

confidence: 99%

Optimal Power Flow With Step-Voltage Regulators in Multi-Phase Distribution Networks

Bazrafshan

Gatsis

Zhu

2019

IEEE Trans. Power Syst.

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This paper develops a branch-flow based optimal power flow (OPF) problem for multi-phase distribution networks that allows for tap selection of wye, closed-delta, and open-delta step-voltage regulators (SVRs). SVRs are assumed ideal and their taps are represented by continuous decision variables. To tackle the non-linearity, the branch-flow semidefinite programming framework of traditional OPF is expanded to accommodate SVR edges. Three types of non-convexity are addressed: (a) rank-1 constraints on non-SVR edges, (b) nonlinear equality constraints on SVR power flows and taps, and (c) trilinear equalities on SVR voltages and taps. Leveraging a practical phase-separation assumption on the SVR secondary voltage, novel McCormick relaxations are provided for (c) and certain rank-1 constraints of (a), while dropping the rest. A linear relaxation based on conservation of power is used in place of (b). Numerical simulations on standard distribution test feeders corroborate the merits of the proposed convex formulation.

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“…5,6 On the one hand, the characteristics of battery itself have an impact on its degradation, on the other hand, the external environment, such as the temperature, 7,8 imposes on the charging and discharging system. To control and decrease the environmental impact of battery degradation, the characterization parameter on the degradation of lithium-ion battery is determined by the experiment.…”

Section: Determination Of Characterization Parameters Of Battery Degementioning

confidence: 99%

Prediction study on the degeneration of lithium-ion battery based on fuzzy inference system

Shi

2017

Mod. Phys. Lett. B

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The degradation degree prediction of lithium-ion battery has been studied through experimental data. Characterization parameters on the degradation degree of lithium-ion battery were deduced under consideration of the internal and external factors. The analysis of discrete degree was proposed to depict the degradation degree for lithium-ion battery. Furthermore, based on fuzzy inference system (FIS), the predicted model of the degradation degree for lithium-ion battery was built and its output was defined as the degenerate coefficient β, β ∈ [0, 1]. Finally, by learning, training and simulating, the FIS model has been validated to be reliable and applicable in prediction on the degradation degree of lithium-ion battery. The simulation results show that the degradation degree of lithium-ion battery is more serious when β is closer to 1, and the degradation degree is lighter when β is closer to 0.

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Chordal Relaxation Based ACOPF for Unbalanced Distribution Systems With DERs and Voltage Regulation Devices

Cited by 46 publications

References 23 publications

Distributed Optimization in Low Voltage Distribution Networks via Broadcast Signals †

Distributed Optimization in Low Voltage Distribution Networks via Broadcast Signals †

Optimal Power Flow With Step-Voltage Regulators in Multi-Phase Distribution Networks

Prediction study on the degeneration of lithium-ion battery based on fuzzy inference system

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