Nonlinear Structure-Preserving Network Reduction Using Holomorphic Embedding

Zhu, Yujia; Tylavsky, Daniel; Rao, Shruti

doi:10.1109/tpwrs.2017.2738320

Cited by 22 publications

(10 citation statements)

References 20 publications

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“…(15) and Eq. (16). The solution process clearly indicates that these two partial derivatives are independent of power flow condition of a distribution power network.…”

Section: B Calculation Of Voltage Sensitivity Wrt Power Injectionmentioning

confidence: 85%

A HEM-Based Sensitivity Analysis Method for Fast Voltage Stability Assessment in Distribution Power Network

et al. 2021

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“…(15) and Eq. (16). The solution process clearly indicates that these two partial derivatives are independent of power flow condition of a distribution power network.…”

Section: B Calculation Of Voltage Sensitivity Wrt Power Injectionmentioning

confidence: 85%

A HEM-Based Sensitivity Analysis Method for Fast Voltage Stability Assessment in Distribution Power Network

et al. 2021

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“…From the analytic point of view, the holomorphic embedding (HE) load-flow method provides a novel non-iterative tool and alternative solution for power flow problems [19]. Since its introduction to the power system community in 2012 [19], HE methods have been extended to a wide range of applications in power systems [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35] over the past few years, including device and network modelling [20][21][22][23][24], voltage stability analysis and control [25][26][27][28][29], power-flow solution identification [30,31], enforcement of control limits [32], unit commitment [33], dynamic simulation [34] and optimal energy flow [35]. In addition, based on its constructive nature, improvements have been made to HE for enhanced computational efficiency [36][37][38].…”

Section: Introductionmentioning

confidence: 99%

Holomorphic embedding approach for VSC‐based AC/DC power flow

Huang

Yao

et al. 2020

IET Generation Trans & Dist

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With the rapid development of voltage source converter based high‐voltage direct current, power flow analysis becomes increasingly important for AC/DC hybrid systems. This study extends the holomorphic embedding (HE) method to the VSC‐based AC/DC power flow problem. With an appropriate embedding technique, a general embedded model is established for AC/DC power flow with VSCs, which can not only preserve the deterministic property of HE that enables it to derive the desired solution in an explicit manner but also flexibly accommodate various bus types, VSC configurations, control strategies and operating conditions. Moreover, the sparsity of the recursive matrix in power series calculations and the introduction of the iterative calculation of the inverse matrix (ICIM) to rational approximants contribute to the high computational efficiency of the model. The proposed method is shown to be feasible and efficient by illustrative cases and is further extended to multi‐terminal (VSC‐MTDC) configurations to verify its flexibility.

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“…The semi-analytical approach such as the holomorphic embedding method is a novel technique for solving power flow problems, helping us better calculate the power flow distribution in the network. When applied to the power-flow control, the holomorphic embedding method can significantly improve the calculation accuracy of power flow and loading limit of each branch [8], [9]. The holomorphic embedding load-flow method (HELM) has been used in flexible AC transmission system (FACTS) devices modeling.…”

Section: Introductionmentioning

confidence: 99%

Improved Correction Strategy for Power Flow Control Based on Multi-Machine Sensitivity Analysis

et al. 2020

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Sensitivity analysis is a conventional power grid analysis method that has been widely used in active power safety correction of power systems. This method relies on linearizing the power flow equation, assuming that the control variable change will continue to act on the power system until a new steady-state operating point is reached. However, this method ignores the quasi-steady-state physical response of power equipment to various control operations, which makes the method not suitable for real-time decision-making. Therefore, according to the improved equal and opposite quantity adjustment principle, this paper proposes a practical power flow correction control strategy, that can avoid repeated and inefficient adjustments of the system. In the proposed method, the single-machine sensitivity matrix under the AC power flow model is obtained based on the Taylor series expansion of the power flow equation. Subsequently, the multi-machine sensitivity with no dependence on the choice of the balancing machine is proposed considering the quasisteady-state method. The study is verified on a practical system, showing that the proposed method has an error of less than 1% with a rapid computation speed. The proposed method satisfies the requirements of real-time analysis and online control strategies, which can provide a more practical approach for active power safety correction.INDEX TERMS Real-time active power control strategy, multi-machine sensitivity, quasi-steady-state response, AC power flow model.

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Nonlinear Structure-Preserving Network Reduction Using Holomorphic Embedding

Cited by 22 publications

References 20 publications

A HEM-Based Sensitivity Analysis Method for Fast Voltage Stability Assessment in Distribution Power Network

A HEM-Based Sensitivity Analysis Method for Fast Voltage Stability Assessment in Distribution Power Network

Holomorphic embedding approach for VSC‐based AC/DC power flow

Improved Correction Strategy for Power Flow Control Based on Multi-Machine Sensitivity Analysis

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