Practical Security Boundary-Constrained DC Optimal Power Flow for Electricity Markets

This study proposes a very effective formulation to carry out the security-constrained direct current (DC)-based optimal power flow (OPF) problem using two linear factors: (i) the power transmission distribution factors (PTDF) and (ii) the line outage distribution factors (LODF). The security-constrained (SC) DCOPF problem has been reformulated using these linear distribution factors, and mainly the pre-and post-contingency constraints have been added into the optimization problem based on the active power unit generation (decision variables). The main advantage of this formulation is the reduction of decision variables as well as equality and inequality constraints. To validate the introduced formulation, several experiments have been conducted using MatPower, DIgSILENT Power Factory and Gurobi. Simulation results demonstrate both the feasibility to carry out the SCOPF problem and the potential applicability of the proposed formulation to medium and large-scale power systems.

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“…For a recent literature review in these issues, we recommend the following references: References [12][13][14].…”

Section: Dcopf Literature Reviewmentioning

confidence: 99%

Preventive Security-Constrained DCOPF Formulation Using Power Transmission Distribution Factors and Line Outage Distribution Factors

Hinojosa

González-Longatt

2018

Energies

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“…Instead, the classical DC flow algorithm, due to its simple mathematical model, linearized equation, rapid solving speed, is widely used in quick calculation occasions, such as power system planning [1], [2], security and stability evaluation of power system [3]- [5], transaction price calculation of electricity market [6]- [9], analysis of The associate editor coordinating the review of this manuscript and approving it for publication was Jenny Mahoney. transmission capability [10], [11], operation dispatching [5], and probabilistic load flow analysis [12], etc. However, the classical DC power flow algorithm has been found to be mainly suitable for high voltage transmission networks with small branch impedance, with its calculation error usually being within 3%-10%, which is only considered acceptable for occasions with low precision requirements [13].…”

Section: Introductionmentioning

confidence: 99%

A General Fast Power Flow Algorithm for Transmission and Distribution Networks

Wang

Wu²,

et al. 2020

IEEE Access

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Fast power flow calculation is generally required in static security analysis and power system optimal planning. And the classical DC power flow algorithm, due to its simple mathematical model, linearized equation, and rapid solving speed, is widely utilized. However, the classical DC power flow algorithm has been found to be only suitable for high voltage transmission networks with small branch impedance ratio. To address this issue, a general fast power flow algorithm is proposed. Utilizing this method, the classical DC power flow algorithm is firstly performed to obtain the initial values of the branch active power flow. And the nodal voltage angles are then calculated by the established node-injected reactive power equations. Secondly, through the identical transformation and approximate treatment of the node power flow equation, a voltage offset calculation method for PQ nodes is proposed. Finally, the active power flow and active power loss can be calculated based on the corrected phase angles and node voltages. Simulation studies on standard IEEE power systems, such as the IEEE 33-bus and IEEE 118-bus systems, etc., were conducted by the presented algorithm, compared with those by the back/forward sweep, classical DC power flow and Newton-Raphson algorithms. It is indicated that, the proposed power flow algorithm has the superiority in satisfactory calculation speed and non-sensitivity on the network impedance ratio. INDEX TERMS Power flow algorithm, transmission and distribution network, high impedance ratio of branch, bus voltage amplitude deviation.

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“…Leveraging semidefinite programming relaxation of OPF, this problem can be formulated as a semidefinite program with quasi-convex objective [12]. Polyhedron approximation of security boundaries has been applied in a DC-OPF model in [13] for proper accounting of system loading margins. However, the characterization of security boundary gets complicated as the dimension of feasible region goes up.…”

Section: Introductionmentioning

confidence: 99%

A New Voltage Stability-Constrained Optimal Power-Flow Model: Sufficient Condition, SOCP Representation, and Relaxation

Cui

Sun

2018

IEEE Trans. Power Syst.

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This paper proposes a novel voltage stabilityconstrained optimal power flow (VSC-OPF) model utilizing a recently proposed sufficient condition on power flow Jacobian nonsingularity. We show that this condition is second-order conic representable when load powers are fixed. Through the incorporation of the convex sufficient condition and thanks to the recent development of convex relaxation of OPF models, we cast a VSC-OPF formulation as a second-order cone program (SOCP). An approximate model is introduced to improve the scalability of the formulation to larger systems. Extensive computation results on MATPOWER and NESTA instances confirm the effectiveness and efficiency of the formulation.Index Terms-voltage stability, second order cone programming, voltage stability-constrained optimal power flow, power flow feasibility.

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Practical Security Boundary-Constrained DC Optimal Power Flow for Electricity Markets

Cited by 20 publications

References 15 publications

Preventive Security-Constrained DCOPF Formulation Using Power Transmission Distribution Factors and Line Outage Distribution Factors

Preventive Security-Constrained DCOPF Formulation Using Power Transmission Distribution Factors and Line Outage Distribution Factors

A General Fast Power Flow Algorithm for Transmission and Distribution Networks

A New Voltage Stability-Constrained Optimal Power-Flow Model: Sufficient Condition, SOCP Representation, and Relaxation

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