Transient Voltages in a Transformer Connected to a 500 kV Transmission Line

State Space Analysis of a Ladder Network Representing a Transmission Line

“…If the time increment, T, is sufficiently small compared with the time constants of the system, the response evaluated by discrete-time methods will be reasonably accurate. Utilizing the definition of the derivative, and dividing t in small intervals T, the derivative vector may be approximated as (2) or,…”

“…Lovass-Nagy and Szendy 1 describe a matrix method for calculating the transient voltage distribution in a cascade consisting of a transmission line and a transformer winding, subjected to a voltage surge at the sending end of the line. The present author in previous papers [2][3] has applied the eigenvalue analysis technique to determine the transient voltage distribution in a transformer winding and at various points of a cascade, of transmission line and transformer, when energised from one end. In the eigenvalue approach, 3 the expressions for the steady-state voltage at any node of the ladder in terms of the eigenvalues and eigenvectors of the chain matrix of the ladder section are used.…”