Power Flow Convergence and Reactive Power Planning in the Creation of Large Synthetic Grids

Birchfield, Adam B.; Xu, Tong; Overbye, Thomas J.

doi:10.1109/tpwrs.2018.2813525

Cited by 89 publications

(44 citation statements)

References 38 publications

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“…The model was created for techniques such as time series analysis and agent based modeling which all require evaluating many different load configurations. Several real world MV/LV networks have been studied in literature, some of which have in the order of 100,000 buses [28,29]. However, the networks from these studies are still several orders smaller than the network of this study which has over 24 million buses.…”

Section: Case Study Of Large Dutch Power Grid (Llpf)mentioning

confidence: 87%

Linear Power Flow Method Improved With Numerical Analysis Techniques Applied to a Very Large Network

et al. 2019

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In this paper, we propose a fast linear power flow method using a constant impedance load model to simulate both the entire Low Voltage (LV) and Medium Voltage (MV) networks in a single simulation. Accuracy and efficiency of this linear approach are validated by comparing it with the Newton power flow algorithm and a commercial network design tool Vision on various distribution networks including real network data. Results show that our method can be as accurate as classical Nonlinear Power Flow (NPF) methods using a constant power load model and additionally, it is much faster than NPF computations. In our research, it is shown that voltage problems can be identified more efficiently when MV and LV are integrally evaluated. Moreover, Numerical Analysis (NA) techniques are applied to the Large Linear Power Flow (LLPF) problem with 27 million nonzeros in order to improve the computation time by studying the properties of the linear system. Finally, the original computation times of LLPF problems with real and complex components are reduced by 2.8 times and 5.7 times, respectively.Energies 2019, 12, 4078 2 of 15 distribution network, such as radial or weakly meshed structure, high R/X ratio, line's length and unbalanced loads. Many methods [6-9] have been developed on distribution power flow analysis and the most of them are based on the Backward-Forward Sweep (BFS) algorithm. Several reviews on distribution power flow solution methods can be found in References [10][11][12].All iterative power flow solution methods use a direct solver eventually for the linearized NPF problem in every iteration. It has been shown that iterative linear solvers can result in faster performances over sparse direct solvers for very large power flow problems [13][14][15]. In other words, the computational time of NPF computations can be improved by studying the properties of the linear system solved in every iteration and applying Numerical Analysis (NA) techniques such as different reordering schemes, various direct solvers and numerous Krylov subspace methods on them.Another way to ease the calculation and to speed up the computational time is to linearize NPF equations using some approximations and assumptions in order to obtain the Linear Power Flow (LPF) equations. After the linearization, the resulting LPF equations can be computed only once by direct solvers. Therefore, LPF computations are generally faster than NPF computations and are more suitable to be applied on very large networks with millions of cables for real time simulation. The best-known example of the LPF problem is the DC load flow [16] where linear relations are determined between the active power injections P and the voltage angles δ and the reactive power injections Q and the deviations of the unknown voltage magnitudes ∆|V|. Furthermore, the linear power flow formulation is obtained based on a voltage dependent (ZI) load model and some numerical approximations on the imaginary part of the nodal voltages in Reference [17]. Another linear power flow model based ...

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Section: Case Study Of Large Dutch Power Grid (Llpf)mentioning

confidence: 87%

Linear Power Flow Method Improved With Numerical Analysis Techniques Applied to a Very Large Network

et al. 2019

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“…The efficiency and robustness of the proposed ECP framework for power system state estimation are demonstrated by examining several large-scale test cases. This includes the ARPA-E test cases of South Carolina and United States grid (Eastern and Western Interconnects together with ERCOT system) [22], the 70,000 buses Eastern Interconnection test case, as well as the French and European transmission networks (RTE and PEGASE test cases) [23]. The data that further describe the examined benchmarks as well as assigned numbers of measurement devices is presented in Table II.…”

Section: Simulation Resultsmentioning

confidence: 99%

“…Importantly, the use of primal and adjoint branch currents to define a model, such as currents from (1)-(2) and (21)- (22), is the typical practice in equivalent circuit modeling. The respective currents are not the variables of the formulation, but rather an aggregation of the remainder of the system.…”

Section: Formulating the State Estimation Problem Asmentioning

confidence: 99%

Equivalent Circuit Programming for Estimating the State of a Power System

Jereminov

Wagner

Jovičić

et al. 2019

2019 IEEE Milan PowerTech

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An Equivalent Circuit Programming (ECP) approach that expresses the optimality conditions of an optimization problem in terms of an equivalent circuit model and uses circuit simulation techniques to solve for an optimal solution, is applied to the state estimation problem for power systems. The benefits of using an equivalent circuit formulation for incorporating both Phasor Measurement Units (PMU) and Remote Terminal Units (RTU), as well as for reducing the nonlinearities of the state estimation problem was previously demonstrated. In this paper we further exploit the circuit nature of the state estimation problem to formulate not only the model but also the optimality conditions as an ECP problem. The efficiency and accuracy of our approach are demonstrated by estimating the states of large-scale power grids (80k+ buses).

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“…To demonstrate the efficiency and robustness of the proposed homotopy method, the G-min stepping algorithm is implemented within a MATLAB prototype implementation of our circuit simulator SUGAR (Simulation with Unified Grid Analyses and Renewables), while the MATPOWER solver [25] was used to determine the DC power flow angle solutions. All the simulations were run on a MacBook Pro 2.9 GHz Intel Core i7, for the MATPOWER test cases including, European PEGASE test cases as well as the recently developed Synthetic cases ranging up to 70k buses [26]- [27].…”

Section: Simulation Resultsmentioning

confidence: 99%

“…Therefore, as a second experiment, we compare the proposed G-min stepping with the MATPOWER [25] implementation of the CPF algorithm. For this study we consider four synthetic test cases [26] representing:…”

Section: Stage II G-min Steppingmentioning

confidence: 99%

Robust and Efficient Power Flow Convergence with G-min Stepping Homotopy Method

Jereminov

Terzakis

Wagner

et al. 2019

2019 IEEE International Conference on Environment and Electrical Engineering and 2019 IEEE Industrial and Commercial Power Syst

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Recent advances have shown that the circuit simulation algorithms that allow for solving highly nonlinear circuits of over one billion variables can be applicable to power system simulation and optimization problems through the use of an equivalent circuit formulation. It was demonstrated that large-scale (80k+ buses) power flow simulations can be robustly solved, independent of the initial starting point. In this paper, we extend the electronic circuit-based G-min stepping homotopy method to power flow simulations. Preliminary results indicate that the proposed algorithm results in significantly better simulation runtime performance when compared to existing homotopy methods. Index Terms-equivalent circuit formulation, G-min stepping, homotopy method, Tx-stepping, robust power flow analysis.Recent advances [15]-[21] in power system simulation and optimization problems have demonstrated that modeling the steady-state response of a power system in terms of current, voltage and admittance state variables allows for more robust and scalable convergence properties, governed by the application of circuit simulation techniques. For instance, the recently introduced Tx-stepping homotopy method [17] was shown to eliminate low voltage

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Power Flow Convergence and Reactive Power Planning in the Creation of Large Synthetic Grids

Cited by 89 publications

References 38 publications

Linear Power Flow Method Improved With Numerical Analysis Techniques Applied to a Very Large Network

Linear Power Flow Method Improved With Numerical Analysis Techniques Applied to a Very Large Network

Equivalent Circuit Programming for Estimating the State of a Power System

Robust and Efficient Power Flow Convergence with G-min Stepping Homotopy Method

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