A DC power flow extension

Kyriakidis, Theodoros; Cherkaoui, Rachid; Kayal, Maher

doi:10.1109/isgteurope.2013.6695265

Cited by 4 publications

(3 citation statements)

References 11 publications

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“…Since the voltage amplitudes of the PV and Vθ nodes are known, it is only necessary to modify the voltage amplitude of the PQ nodes. By sorting out the imaginary part of (16), (17) can be obtained as (17) where…”

Section: Voltage Amplitude Correction Methods Based On Nodal Power mentioning

confidence: 99%

“…As presented in [16], ignoring the calculation of nodal voltage may lead to the omission and miscalculation of checking results in static security analysis and power market calculation. A normal DC power flow of the system is executed to determine voltage angles in [17], with a novel derivation of voltage amplitudes provided. In [18], a new method is presented to improve the accuracy of the DC power flow results while maintaining its computation efficiency and linear formulation.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Voltage Amplitude Correction Methods Based On Nodal Power mentioning

confidence: 99%

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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“…Once again, the terminology "modified" refers to phase angles being calculated using an arcsin [26], in contrast to standard DC Power Flow. If we approximate arcsin(ψ) ≈ ψ in (12), we instead obtain the Lossy DC Power Flow (L-DCPF)…”

Section: A Derivation For Two-bus Casementioning

confidence: 99%

Lossy DC Power Flow

Simpson-Porco

2018

IEEE Trans. Power Syst.

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The DC Power Flow approximation has been widely used for decades in both industry and academia due to its computational speed and simplicity, but suffers from inaccuracy, in part due to the assumption of a lossless network. Here we present a natural extension of the DC Power Flow to lossy networks. Our approach is based on reformulating the lossy active power flow equations into a novel fixed-point equation, and iterating this fixed-point mapping to generate a sequence of improving estimates for the active power flow solution. Each iteration requires the solution of a standard DC Power Flow problem with a modified vector of power injections. The first iteration returns the standard DC Power Flow, and one or two additional iterations yields a one or two order-of-magnitude improvement in accuracy. For radial networks, we give explicit conditions on the power flow data which guarantee (i) that the active power flow equations possess a unique solution, and (ii) that our iteration converges exponentially and monotonically to this solution. For meshed networks, we extensively test our results via standard power flow cases.Comment: Revision, 9 pages 3 figures. Revised versio

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