Power System Transient Stability Based On The Duhamel Integration

With the development of the power system and deepening of the electricity management reform, power network is rapidly being build. In the case of regional connection growing with ultra-high voltage grid, the security of such power grid is becoming a major problem for our research. India blackout happened in2012warns us that we should never neglect the safe and stable operation of modern power system. Transient stability evaluation is among the most important of dynamic security analysis.A brief summary of integration methods has been proposed by dividing them into implicit algorithm and explicit algorithm. The paper explores the Duhamel integrals. Based on the characteristics of differential equation in transient stability analysis, homogeneous matrix is chosen as singular matrix. In this way, parse expression of exponential matrix function is available. Along with linearizing non-homogeneous matrix, the paper presents a new numerical approach for power angle, which has less local truncation error. Besides, in order to improve the precision of the calculation in detailed models, the paper also develops a more stable and applicative solution method. The results of simulations can prove that the method proposed has the advantages of higher accuracy and faster efficiency. It can be used with big step length for power system transient stability analysis. Taking advantage of more accurate power angle the method provided, the paper combines it with transient performance index to contingency screening. The results of the simulation compared with PEBS’s indicate that the method is efficient. This provides another effective method for the contingency screening techniques based on time-domain simulation.