# Stochastic Stability Analysis of the Power System Incorporating Wind Power using Measurement Wind Data

• Parinya, Panom (The Joint Graduate School of Energy and Environment) ;
• Sangswang, Anawach (Department of Electrical Engineering, Faculty of Engineering, King Mongkut's University of Technology Thonburi) ;
• Kirtikara, Krissanapong (CES Solar Cells Testing Center, King Mongkut's University of Technology Thonburi) ;
• Chenvidhya, Dhirayut (CES Solar Cells Testing Center, King Mongkut's University of Technology Thonburi)
• Received : 2016.12.14
• Accepted : 2018.02.01
• Published : 2018.05.01

#### Abstract

This paper proposes an alternative method to evaluate the effect of wind power to the power system stability with small disturbance. Alternatively, available techniques for stability analysis of a power system based on deterministic methods are less accurate for high penetration of wind power. Numerical simulations of random behaviors are computationally expensive. A stochastic stability index (SSI) is proposed for the power system stability evaluation based on the theory of stochastic stability and energy function, specifically the stochastic derivative of the relative well-defined energy function and the critical energy. The SSI is implemented on the modified nine-bus system including wind turbines under different conditions. A doubly-fed induction generator (DFIG) wind turbine is characterized and modeled using measured wind data from several sites in Thailand. Each of the obtained wind power data is analyzed. The wind power effect is modeled considering the aggregated effect of wind turbines. With the proposed method, the system behavior is properly predicted and the stability is quantitatively evaluated with less computational effort compared with conventional numerical simulation methods.

#### Acknowledgement

Supported by : Joint Graduate School of Energy and Environment (JGSEE), CES Solar Cells Testing Center (CSSC), King Mongkut's University of Technology Thonburi (KMUTT)

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