A Generalized High-Order Nodal Formulation for Accelerated Electromagnetic Transient Simulation

Electromagnetic transient simulation plays a crucial role in power system transient stability analysis, but traditional numerical integration methods such as the trapezoidal rule method and the Euler method are time-consuming due to the small and fixed time steps. To improve efficiency, this paper proposes a novel generalized high-order nodal formulation for electromagnetic transient simulations. The method generalizes and extends the traditional companion circuit method to achieve any high-order accuracy. By utilizing a multi-stage diagonally implicit Runge-Kutta method, the corresponding companion circuits of network components are derived. Then, a recursive computation process is proposed to solve the network equation without rebuilding the conductance matrix with multi-stages in a time step. The high-order nodal method allows for larger time steps without sacrificing accuracy. Case studies on a four-bus and an 1170-node system compare the computational efficiency of the proposed method with different orders.