A Linear Model for AC Power Flow Analysis in Distribution Networks

Gharebaghi, Sina; Safdarian, Amir; Lehtonen, Matti

doi:10.1109/jsyst.2019.2921432

Cited by 22 publications

(7 citation statements)

References 34 publications

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“…However, reaching this result requires a certain amount of computer performance, and the fact is that the performance computers of distribution network operators are limited. So, to enable operators to manage large distribution networks too, it is necessary to use numerically stable algorithms that can solve the AC-power-flow problem with a minimal number of operations when developing software for the management of distribution networks [5][6][7][8][9][10][11]. The system of the AC-power-flow equations is, therefore, a system of nonlinear equations.…”

Section: Ac-power-flow Problem Formulation and Methods For Solutionmentioning

confidence: 99%

“…A detailed description of the G-S method and the N-R method can be found in [9]. Since various methods for the AC-power-flow problem solution differ greatly from each other, their computational efficiency and robustness greatly differ too [5][6][7][8][9][10]. Due to good computational properties, the G-S method is suitable for small AC power systems with less computational complexity, while the N-R method is the most effective and reliable AC-power-flow problem solution method for its fast convergence and accuracy.…”

Section: Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Steady-State Analysis of Electrical Networks in Pandapower Software: Computational Performances of Newton–Raphson, Newton–Raphson with Iwamoto Multiplier, and Gauss–Seidel Methods

et al. 2022

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At the core of every system for the efficient control of the network steady-state operation is the AC-power-flow problem solver. For local distribution networks to continue to operate effectively, it is necessary to use the most powerful and numerically stable AC-power-flow problem solvers within the software that controls the power flows in these networks. This communication presents the results of analyses of the computational performance and stability of three methods for solving the AC-power-flow problem. Specifically, this communication compares the robustness and speed of execution of the Gauss–Seidel (G–S), Newton–Raphson (N–R), and Newton–Raphson method with Iwamoto multipliers (N–R–I), which were tested in open-source pandapower software using a meshed electrical network model of various topologies. The test results show that the pandapower implementations of the N–R method and the N–R–I method are significantly more robust and faster than the G–S method, regardless of the network topology. In addition, a generalized Python interface between the pandapower and the SciPy package was implemented and tested, and results show that the hybrid Powell, Levenberg–Marquardt, and Krylov methods, a quasilinearization algorithm, and the continuous Newton method can sometimes achieve better results than the classical N–R method.

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Section: Ac-power-flow Problem Formulation and Methods For Solutionmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Steady-State Analysis of Electrical Networks in Pandapower Software: Computational Performances of Newton–Raphson, Newton–Raphson with Iwamoto Multiplier, and Gauss–Seidel Methods

et al. 2022

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“…Obviously, equation ( 6) obeys the KCL, while equation (7) represents the Ohm's law. LBFS still holds its simplicity without involving iterative and complex parts.…”

Section: A Linearized Branch Flow Model With Line Shuntsmentioning

confidence: 99%

A Linearized Branch Flow Model Considering Line Shunts for Distribution System and Its Application in Volt/VAr Control

Lin¹,

Nazir²,

Pal³

et al. 2022

Preprint

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With the fast expansion of the power grid and increasing complexity due to modern equipment, power flow models with non-convexity and long computing time are not suitable for network calculation and optimization problems. Therefore, this paper proposes a linearized branch flow model (LBF) considering line shunts (LBFS). The strength of LBF lies in its linear mathematical structure, and hence the convex nature, which is primarily achieved by regarding the apparent power flow as the branch current magnitude. Moreover, the calculation accuracy in nodal voltage magnitude is significantly improved by appropriately modeling line shunt admittances and network equipment like transformers, shunt capacitors and distributed generators (DG). We show the application scope of LBFS by controlling the network voltages through a two-stage stochastic optimization Volt/VAr control (VVC) problem considering DG output uncertainty. Since LBFS results in a linear VVC program, the global solution is guaranteed. Simulations show that VVC framework can optimally dispatch the discrete control devices, viz. substation transformers and shunt capacitors, and also optimize the decision rules for real time reactive power control of DGs. Besides, the computing efficiency is significantly improved compared to traditional VVC methods.

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“…The objective function of the lower level can be calculated as the summation of the cost of power production of generation units, the cost of buying energy from storage unit minus the revenues provided by selling the energy. Equations (8) and (9) present active and reactive power balance of the system, respectively [32]. The equality constraints of active and reactive power flow limitations through the transmission lines between the system buses are represented in (10)-(13), respectively.…”

Section: Problem Formulationmentioning

confidence: 99%

A Bi-Level Framework for Optimal Energy Management of Electrical Energy Storage Units in Power Systems

et al. 2020

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A Linear Model for AC Power Flow Analysis in Distribution Networks

Cited by 22 publications

References 34 publications

Steady-State Analysis of Electrical Networks in Pandapower Software: Computational Performances of Newton–Raphson, Newton–Raphson with Iwamoto Multiplier, and Gauss–Seidel Methods

Steady-State Analysis of Electrical Networks in Pandapower Software: Computational Performances of Newton–Raphson, Newton–Raphson with Iwamoto Multiplier, and Gauss–Seidel Methods

A Linearized Branch Flow Model Considering Line Shunts for Distribution System and Its Application in Volt/VAr Control

A Bi-Level Framework for Optimal Energy Management of Electrical Energy Storage Units in Power Systems

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