Lossy DistFlow Formulation for Single and Multiphase Radial Feeders

Schweitzer, Eran; Saha, Shammya Shananda; Scaglione, Anna; Johnson, Nathan G.; Arnold, Dan

doi:10.1109/tpwrs.2019.2954453

“…The results from this comparison are shown in Fig. 4 [16]. The results show the voltage magnitude measured on all phases.…”

Section: B Log(v) 3lpf Vs Lossy Distflowmentioning

confidence: 97%

Log(v) 3LPF: A Linear Power Flow Formulation for Unbalanced Three-Phase Distribution Systems

Carreño¹,

Saha²,

Scaglione³

et al. 2021

Preprint

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In this work, we introduce Log(v) 3LPF, a linear power flow solver for unbalanced three-phase distribution systems. Log(v) 3LPF uses a logarithmic transform of the voltage phasor to linearize the AC power flow equations around the balanced case. We incorporate the modeling of ZIP loads, transformers, capacitor banks, switches and their corresponding controls and express the network equations in matrix-vector form. With scalability in mind, special attention is given to the computation of the inverse of the system admittance matrix, Ybus. We use the Sherman-Morrison-Woodbury identity for an efficient computation of the inverse of a rank-k corrected matrix and compare the performance of this method with traditional LU decomposition methods in terms of FLOPS. We showcase the solver for a variety of network sizes, ranging from tens to thousands of nodes, and compare the Log(v) 3LPF with commercial-grade software, such as OpenDSS. <br>

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“…We first compare the Log(V) 3LPF and Lossy DistFlow [16] linearizations with an OpenDSS solution on the IEEE-123 test case. It should be noted that the Lossy DistFlow linearization cannot handle constant-current loads due to the inherent limitations of the DistFlow equations.…”

Section: B Log(v) 3lpf Vs Lossy Distflowmentioning

confidence: 99%

“…Other single-phase AC PF linearizations were proposed in [13]- [15]. The Dist-Flow equations were later expanded to three-phase unbalanced networks [16] while considering line losses. However, the linear DistFlow equations are limited to radial networks and the inclusion of losses in the formulation requires training of complex models.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Log(v) 3LPF: A Linear Power Flow Formulation for Unbalanced Three-Phase Distribution Systems

Carreño¹,

Scaglione

²

,

Saha

³

et al. 2023

IEEE Trans. Power Syst.

6

0

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In this work, we introduce Log(v) 3LPF, a linear power flow solver for unbalanced three-phase distribution systems. Log(v) 3LPF uses a logarithmic transform of the voltage phasor to linearize the AC power flow equations around the balanced case. We incorporate the modeling of ZIP loads, transformers, capacitor banks, switches and their corresponding controls and express the network equations in matrix-vector form. With scalability in mind, special attention is given to the computation of the inverse of the system admittance matrix, Ybus. We use the Sherman-Morrison-Woodbury identity for an efficient computation of the inverse of a rank-k corrected matrix and compare the performance of this method with traditional LU decomposition methods in terms of FLOPS. We showcase the solver for a variety of network sizes, ranging from tens to thousands of nodes, and compare the Log(v) 3LPF with commercial-grade software, such as OpenDSS.

show abstract

“…In practice, most distribution grids are multiphase, radial networks with both wye-connected and delta-connected loads. A lossy LinDistFlow formulation is proposed for both single-phase and multi-phase distribution networks Schweitzer et al (2019), which estimates the line losses via parametrization to improve the performance of the extended LinDistFlow.…”

Section: Introductionmentioning

confidence: 99%

Scalable offline and online decision-making for next-generation autonomous power systems

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Lossy DistFlow Formulation for Single and Multiphase Radial Feeders

Cited by 21 publications

References 19 publications

Log(v) 3LPF: A Linear Power Flow Formulation for Unbalanced Three-Phase Distribution Systems

Log(v) 3LPF: A Linear Power Flow Formulation for Unbalanced Three-Phase Distribution Systems

Log(v) 3LPF: A Linear Power Flow Formulation for Unbalanced Three-Phase Distribution Systems

Scalable offline and online decision-making for next-generation autonomous power systems

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