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Optimal Power Flow Based on Successive Linear Approximation of Power Flow Equations
IET Generation, Transmission and Distribution, 2016 In this study, the authors introduce a new solution to the alternating current optimal power flow problem based on successive linear approximation of power flow equations. The polar coordination of the power flow equations is used to take advantage of the quasi‐linear P–
Qing Xia, Haiwang Zhong
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Linearized power flow for stochastic optimization
2017 IEEE 30th Canadian Conference on Electrical and Computer Engineering (CCECE), 2017The behavior of network constraints in economic dispatch and unit commitment problem is examined in this paper. It analyses the constraints related to the power flow in a stochastic programming tool and tests different approaches for transmission loss computation. This work is part of an ongoing effort to develop tools for stochastic analysis of hybrid
Dawit Fekadu Teshome +1 more
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On the Existence and Linear Approximation of the Power Flow Solution in Power Distribution Networks [PDF]
IEEE Transactions on Power Systems, 2016 We consider the problem of deriving an explicit approximate solution of the nonlinear power equations that describe a balanced power distribution network. We give sufficient conditions for the existence of a practical solution to the power flow equations, and we propose an approximation that is linear in the active and reactive power demands of the PQ ...
Sandro Zampieri, Saverio Bolognani
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Electric Power Systems Research, 2012
Abstract This paper presents a new linear active power flow solution method. The new linear active power flow presents a better performance to calculate MW power flows, as opposed to MW flows, calculated in classical model with a DC power flow. The aforesaid proposed method is based on a decoupling principle. Therefore, the voltage angles and voltage
Ailson P. de Moura +3 more
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Abstract This paper presents a new linear active power flow solution method. The new linear active power flow presents a better performance to calculate MW power flows, as opposed to MW flows, calculated in classical model with a DC power flow. The aforesaid proposed method is based on a decoupling principle. Therefore, the voltage angles and voltage
Ailson P. de Moura +3 more
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A Wirtinger Linearization for the Power Flow in Microgrids
2019 IEEE Power & Energy Society General Meeting (PESGM), 2019This paper presents a linear formulation of the power flow for grid-connected microgrids and power distribution networks using Wirtinger's calculus. Our approach is general for three-phase unbalanced conditions without imposing constraints related to radiality or relation $x/r$ . In comparison to other linearizations, the proposed method guarantees an
Diego A. Ramirez +2 more
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An AC power flow linearization for power system optimization using linear programming
2016 IEEE Electrical Power and Energy Conference (EPEC), 2016This paper presents a method for the linearization of the non-linear power flow equations, which can be used in mixed integer linear optimizations. The power flow equations are linearized around an operating point using the Taylor approximation.
Torsten Sowa +4 more
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A Combination of Linear Power Flow Models to Reduce Linearization Error
2020 IEEE 3rd International Conference of Safe Production and Informatization (IICSPI), 2020The solution accuracy and efficiency of optimal power flow (OPF) calculation directly determine the economy and safety of power grid operation. The nonlinearity of power flow model leads the non-convex of the economic dispatch model. Linear power flow models are widely used in power systems. Based on general linear power flow model, we combine multiple
Jiarui Long +5 more
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Linear power-flow models in multiphase distribution networks
2017 IEEE PES Innovative Smart Grid Technologies Conference Europe (ISGT-Europe), 2017This paper considers multiphase unbalanced distribution systems and develops approximate AC power-flow models wherein voltages, line currents, and powers at the point of common coupling are linearly related to the nodal net power injections. The linearization approach is grounded on a fixed-point interpretation of the AC power-flow equations, and it is
Andrey Bernstein, Emiliano Dall'Anese
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Computing sparse affine-linear control policies for linear power flow in microgrids
2020 IEEE PES Innovative Smart Grid Technologies Europe (ISGT-Europe), 2020We determine affine-linear control policies for linear power systems that are robust against variations of nodal power injections. The paper presents a novel way to compute such policies with a minimal number of controller and sensor devices by solving a single mixed-integer linear optimization problem.
Edwin Mora, Florian Steinke
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Distributed coordination of power generators for a linearized optimal power flow problem
2017 American Control Conference (ACC), 2017This paper considers the problem of optimally dispatching a set of generators in a power system; these generators are interconnected to some loads via a network of buses. We consider scenarios when the power network is operating at a steady state, and a small change in the load occurs at some of the load buses.
Ashish Cherukuri +2 more
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