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Modified affine arithmetic based continuation power flow analysis for voltage stability assessment under uncertainty

机译：基于改进仿射算法的连续潮流分析不确定性下的电压稳定性评估

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摘要

Continuation power flow (CPF) analysis has been used in the literature to determine the voltage collapse point from active power versus voltage curves (PV curves) for steady-state voltage stability assessment. Affine arithmetic-based (AA) CPF analysis to determine PV curve bounds under uncertainty in power generation was introduced in the literature to overcome the problem of large computational time with Monte Carlo (MC) simulations, by getting a faster solution with a reasonably good accuracy. However, AA operations lead to more noise terms and hence overestimation of bounds. In the present work, a modified AA (modAA)-based CPF analysis is proposed to determine PV curve bounds by considering uncertainties associated with active and reactive power injections at all buses in the system. The proposed method reduces the overestimation caused by the AA operations and gives more accurate solution bounds. The proposed modAA-based CPF analysis is tested on 5-bus test case, IEEE 57, European 1354 and Polish 2383-bus systems. The simulation results with the proposed method are compared with MC simulations and AA-based CPF analysis to show the efficacy of the proposed method.
机译：文献中已经使用连续功率流（CPF）分析来从有功功率与电压曲线（PV曲线）确定电压崩溃点，以进行稳态电压稳定性评估。文献中介绍了基于仿射算术（AA）CPF分析来确定发电不确定性下的PV曲线边界，以通过获得具有合理良好精度的更快解决方案来克服蒙特卡洛（MC）仿真的大量计算时间的问题。但是，AA运算会导致更多的噪声项，从而导致对边界的高估。在当前工作中，提出了一种改进的基于AA（modAA）的CPF分析，通过考虑与系统中所有母线的有功功率和无功功率注入相关的不确定性来确定PV曲线界限。所提出的方法减少了由AA运算引起的高估，并且给出了更准确的解边界。建议的基于modAA的CPF分析在5总线测试用例，IEEE 57，欧洲1354和波兰2383总线系统上进行了测试。将该方法的仿真结果与MC仿真和基于AA的CPF分析进行比较，以证明该方法的有效性。

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