Power flow solution for multi-frequency AC power systems

Nguyen, Quan; Ngo, Tuan; Santoso, Surya

doi:10.1109/tdc.2016.7519952

Cited by 11 publications

(11 citation statements)

References 10 publications

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“…The mismatch a g (X ) of power flow equation g (X ) = 0 and the Jacobian J 9 (X) are calculated by applying vectorization instead of "for" loops to reduce the running time. The updated direction ax at the k th iteration is determined by solving the set of linear equations (18) using LU factorization.…”

Section: Up Date Variable Vector Using Newton-raphson Methodsmentioning

confidence: 99%

“…The first derivatives of power balance equations with respect to voltages ' magnitudes and angles in the HVac and LF-HVac grids are given in [36]. Other non-zero entries in the Jacobian matrix in (18) 0885-8950 (c) 2018 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission.…”

Section: Appendixmentioning

confidence: 99%

“…To the best knowledge of the authors, little research has been done to solve power flow in multi-frequency power systems. A simplified method that does not include the BTB converter systems was proposed in [18]. The power flow solution presented in this paper takes into account the model and power control capability of BTB converters.…”

Section: Introductionmentioning

confidence: 99%

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Power Flow in a Multi-Frequency HVac and HVdc System: Formulation, Solution, and Validation

Nguyen

Todeschini

Santoso

2019

IEEE Trans. Power Syst.

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This paper proposes a novel power flow formulation and solution algorithm for a generalized large-scale intercon nected transmission system encompassing multi-frequency HVac and HV dc grids having arbitrary numbers of buses, topologies, and operating frequencies. Back-to-back and ac/dc voltage-source converters are employed to interconnect and control the voltage and power interchange between two power grids operating at different frequencies. The power flow formulation is based on a steady-state model of back-to-back and ac/dc converters operated in centralized and distributed droop control strategies. Each power grid is represented by a set of nonlinear power balance equations. These equations are solved simultaneously using a unified power flow algorithm, taking into account generator and converter limits. It is shown that the solution convergence is achieved rapidly despite the system size, topology, and converter control strategies. The efficacy and accuracy of the proposed steady-state solution algorithm are demonstrated by comparing the numerical solution to the one obtained by time-domain electromagnetic models of multi-frequency HVac and HV de transmission systems with fully controllable back to-back and ac/dc converters. The results obtained by using the proposed algorithm and the time-domain simulation are practically identical.

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Section: Up Date Variable Vector Using Newton-raphson Methodsmentioning

confidence: 99%

Section: Appendixmentioning

confidence: 99%

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Power Flow in a Multi-Frequency HVac and HVdc System: Formulation, Solution, and Validation

Nguyen

Todeschini

Santoso

2019

IEEE Trans. Power Syst.

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“…This limits the active power flow further as frequency decreases. 5) DC power flow: At the 0 Hz limit, the power flow is constrained by the voltage magnitude and power flow for the DC case, (13,14), and we take k = 1. This results in a slight decrease in the active power capability.…”

Section: B Maximum Power Transfermentioning

confidence: 99%

“…The steady state analysis of networks with nonstandard frequencies has been the subject of recent work. In [13], Nguyen and Santoso formulated a power flow problem for a 60 Hz network with a single branch at 10 Hz, with frequency conversion at each end. The authors used the Π equivalent model for the low frequency branch.…”

Section: Introductionmentioning

confidence: 99%

Steady State Modeling for Variable Frequency AC Power Flow

Sehloff¹,

Roald²

2021

Preprint

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Advantages of operating portions of a power system at frequencies different from the standard 50 or 60 Hz have been demonstrated in the low frequency AC (LFAC) and high voltage DC (HVDC) literature. Branches constrained by stability or thermal limits can benefit from increased capacity and flexibility. Since advances in power electronics enable the choice of an operating frequency, tools are needed to make this choice. In order to quantify the advantages as functions of frequency, this paper provides models for steady state calculations with frequency as a variable and validates the modeling assumptions. It then introduces an analytical quantification of the power flow capacity of a transmission branch as a function of frequency, demonstrating different active constraints across the range of frequency. The modeling and power flow calculations are demonstrated for a practical transmission line using manufacturer data. The models presented here provide a foundation for system level studies with variable frequency using optimal power flow.

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