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### 具有时滞概率分布的电力系统负荷频率稳定性分析

1. 湖南电气职业技术学院风能工程学院,   湘潭 411101
• 出版日期:2021-05-25 发布日期:2021-08-11

LUO Xiaoli , DAI Lu, LIAN Honghai , LI Mofa , DENG Peng. Load Frequency Stability  Analysis of Power Systems with Probability Distribution  Time-Varying Delays[J]. Journal of Systems Science and Mathematical Sciences, 2021, 41(5): 1245-1255.

### Load Frequency Stability  Analysis of Power Systems with Probability Distribution  Time-Varying Delays

LUO Xiaoli ,DAI Lu, LIAN Honghai ,LI Mofa ,DENG Peng

1. School of Wind Energy Engineering, Hunan Electrical College of Technology, Xiangtan 411101
• Online:2021-05-25 Published:2021-08-11

Based on probability distribution theory and L-K functional methods, the issue of probability-distribution-dependent load frequency stability is investigated for a class of power systems with time-varying delays. Firstly, by considering the probability distribution feature of the communication time-delay in the system modeling, the power systems with PI-based load frequency controller is converted to a closed-loop system with stochastic time-varying delay. Secondly, by fully using the probability distribution information of stochastic time-varying delays, a suitable L-K functional is constructed. Then, by employing the integral inequality and improved reciprocally convex combination technique to estimate the derivative of the L-K functional, some probability-distribution-dependent load frequency stability criteria are derived for the power systems. Finally, some case studies are applied to show the effectiveness and superiority of the design method.
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