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多步高阶暂态稳定计算方法 被引量:11

Transient Stability Calculation Based on Explicit Multi-step Multi-derivative Integration Method
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摘要 基于高阶Taylor级数暂态稳定计算方法,并结合多步积分公式,提出了多步高阶暂态稳定计算方法。通过设计多步多导数的数值积分格式,增加了原方法的精度阶数,从而降低了导数递推的计算消耗。该方法保留了原Taylor级数法高阶数、大步长且结构简单易于实现等优点,并且能够方便地与单步Taylor级数法配合使用,从而在提高计算效率的同时保证了其灵活性。算例结果表明该方法简洁有效,为基于高阶Taylor展开技术的暂态稳定计算研究提供了新的发展。 Based on the approach of high order Taylor series transient stability calculation and the formula of multi-step integration, a method of explicit multi-step and multi-derivative integration transient stability calculation is proposed. The order of the original Taylor series method is increased by designing the structure of a multi-step and multi-derivative integration formula, so the computing consumption of high order derivatives is reduced correspondingly. The advantages such as of simple structure, high order and large step size are retained, and this method is able to cooperate with the single-step Taylor series method conveniently as well. Therefore, both the efficiency and flexibility of the new method are guaranteed. The effectiveness and efficiency of the new method are testified by simulation results.
出处 《电力系统自动化》 EI CSCD 北大核心 2009年第15期33-37,共5页 Automation of Electric Power Systems
基金 国家自然科学基金资助项目(50307003) 哈尔滨工业大学科研创新基金资助项目(HIT.NSRIF.2008.54)~~
关键词 暂态稳定 TAYLOR级数法 高阶导数 多步积分 transient stability Taylor series high order derivatives multi-step integration
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