Second-Order Cone Programming for Optimal Power Flow in VSC-Type AC-DC Grids

Baradar, Mohamadreza; Hesamzadeh, Mohammad Reza; Ghandhari, Mehrdad

doi:10.1109/tpwrs.2013.2271871

Cited by 158 publications

(106 citation statements)

References 35 publications

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“…However, the AC OPF is nonconvex due to the nonlinearity of the physical parameters [23], i.e., active power, reactive power, and node voltage, as shown in Equations (6) and (7). As a result, the OPF for the AC/DC hybrid network is nonconvex [24]. Many methods have been developed to solve the OPF problems, such as trust region interior point algorithm, Lagrangian method, and primal-dual interior point method.…”

Section: Methodsmentioning

confidence: 99%

Optimal Power Scheduling for a Medium Voltage AC/DC Hybrid Distribution Network

et al. 2018

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Abstract:With the great increase of renewable generation as well as the DC loads in the distribution network; DC distribution technology is receiving more attention; since the DC distribution network can improve operating efficiency and power quality by reducing the energy conversion stages. This paper presents a new architecture for the medium voltage AC/DC hybrid distribution network; where the AC and DC subgrids are looped by normally closed AC soft open point (ACSOP) and DC soft open point (DCSOP); respectively. The proposed AC/DC hybrid distribution systems contain renewable generation (i.e., wind power and photovoltaic (PV) generation); energy storage systems (ESSs); soft open points (SOPs); and both AC and DC flexible demands. An energy management strategy for the hybrid system is presented based on the dynamic optimal power flow (DOPF) method. The main objective of the proposed power scheduling strategy is to minimize the operating cost and reduce the curtailment of renewable generation while meeting operational and technical constraints. The proposed approach is verified in five scenarios. The five scenarios are classified as pure AC system; hybrid AC/DC system; hybrid system with interlinking converter; hybrid system with DC flexible demand; and hybrid system with SOPs. Results show that the proposed scheduling method can successfully dispatch the controllable elements; and that the presented architecture for the AC/DC hybrid distribution system is beneficial for reducing operating cost and renewable generation curtailment.

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Section: Methodsmentioning

confidence: 99%

Optimal Power Scheduling for a Medium Voltage AC/DC Hybrid Distribution Network

et al. 2018

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“…The quadratic equality constraint in Equation (30) is nonconvex, but we can relax Equation (30) into convex inequalities as in Equation (31) by conic relaxation. For the accuracy of the conic relaxation in optimal power flow (OPF) problem, we refer readers to [36,37], which compare the conic relaxation based OPF results with standard nonlinear programming (NLP) based OPF results for different IEEE test systems. Equation (32) is a standard second order cone formulation of Equation (31).…”

Section: Network Constraintsmentioning

confidence: 99%

“…The power factor limit at PCC is ensured by Equation (36). In addition, the PCC voltage is normally determined by the utility network operating condition, which is specified in Equation (37).…”

Section: Constraints At Pccmentioning

confidence: 99%

Community Microgrid Scheduling Considering Network Operational Constraints and Building Thermal Dynamics

et al. 2017

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This paper proposes a Mixed Integer Conic Programming (MICP) model for community microgrids considering the network operational constraints and building thermal dynamics. The proposed multi-objective optimization model optimizes not only the operating cost, including fuel cost, electricity purchasing/selling, storage degradation, voluntary load shedding and the cost associated with customer discomfort as a result of the room temperature deviation from the customer setting point, but also several performance indices, including voltage deviation, network power loss and power factor at the Point of Common Coupling (PCC). In particular, we integrate the detailed thermal dynamic model of buildings into the distribution optimal power flow (D-OPF) model for the optimal operation. Thus, the proposed model can directly schedule the heating, ventilation and air-conditioning (HVAC) systems of buildings intelligently so as to to reduce the electricity cost without compromising the comfort of customers. Results of numerical simulation validate the effectiveness of the proposed model and significant savings in electricity cost with network operational constraints satisfied.

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“…In [10], branch flow model has been proposed to describe the power flow of hybrid AC-DC grid. The branch flow model was transformed from traditional AC power flow model by some approximation.…”

Section: Branch Flow Modelmentioning

confidence: 99%

Mixed‐integer second‐order cone programming taking appropriate approximation for the unit commitment in hybrid AC–DC grid

Zhang

Wen

et al. 2017

J. eng.

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With the rapid development and deployment of voltage source converter (VSC) based HVDC, the traditional power system is evolving to the hybrid AC-DC grid. New optimization methods are urgently needed for these hybrid AC-DC power systems. In this paper, mixed-integer second order cone programming (MISOCP) for the hybrid AC-DC power systems is proposed. The second order cone (SOC) relaxation is adopted to transform the AC and DC power flow constraints to MISOCP. Several IEEE test systems are used to validate the proposed MISCOP formulation of the optimal power flow (OPF) and unit commitment (UC) in the hybrid AC-DC power systems.

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Second-Order Cone Programming for Optimal Power Flow in VSC-Type AC-DC Grids

Cited by 158 publications

References 35 publications

Optimal Power Scheduling for a Medium Voltage AC/DC Hybrid Distribution Network

Optimal Power Scheduling for a Medium Voltage AC/DC Hybrid Distribution Network

Community Microgrid Scheduling Considering Network Operational Constraints and Building Thermal Dynamics

Mixed‐integer second‐order cone programming taking appropriate approximation for the unit commitment in hybrid AC–DC grid

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