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| 摘要: |
| 针对目前概率潮流计算方法普遍存在计算复杂、计算量大的问题,采用经过解耦简化的线性化交流潮流模型,并用累积量代替传统的卷积技术,只需1次潮流计算就可以通过Gram-Charlier级数得到状态量的概率密度函数。其计算步骤可描述为:给定注入功率的概率描述,计算各阶原点矩;计算注入功率的累积量;计算节点电压和支路潮流的各阶累积量;计算节点电压和支路潮流的各阶原点矩和中心矩;计算Gram-Charlier级数的系数,从而得到节点电压和支路潮流的概率密度函数和概率分布函数。算例结果证明该方法方便、快速且能保证计算精度。 |
| 关键词: 累积量,概率潮流,矩量 |
| DOI： |
| 分类号:TM744 O211.9 |
| 基金项目: |
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| Probabilistic power flow computation under AC model |
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LIN Hai-yuan
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| Abstract: |
| A decoupled linear AC power flow model is adopted to simplify the complex and large calculation of the probabilistic power flow computation. The cumulant is used instead of traditional convolution technique to achieve the probabilistic density function of state variables through Gram - Charlier series,only once power flow calculation needed. Steps are as follows:given the probability of the injected power,calculate each origin moment;calculate its cumulant;calculate each order cumulant of the node voltage and the line flow;calculate each order origin moment and center moment of the node voltage and the line flow;calculate coefficients of Gram-Charlier series to get the probabilistic density function and the probabilistic distribution function. The example shows that the method saves much computation time while the precision guaranteed. |
| Key words: cumulant,probabilistic power flow,moment |
