Multimachine stability analysis is crucial for understanding the dynamics and stability of power systems with multiple synchronous machines. The objective is to solve the swing equations for a network of M machines connected to an N-bus power system.
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
V is the N-vector of bus voltages, E is the M-vector of machine voltages, I is the M-vector of machine currents. Y11, Y12, Y21, and Y22 are N×N, N×M, M×N, and M×M admittance matrices, respectively. The equations can be decoupled as:
Assuming E is known, the first equation can be solved iteratively for V using methods like Gauss elimination or Gauss-Seidel. Once V is computed, I can be obtained from the second equation.
The real electrical power output of the machine n is:
The transient stability computation procedure involves iteratively solving the swing equations and the power flow equations:
By following these steps and using the equations provided, engineers can analyze the transient stability of multimachine power systems and ensure reliable operation under various conditions.
来自章节 31:
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