Abstract
A method for transient analysis of single phase transmission lines based on state-space technique is presented. Transmission lines are considered as the interconnection of many lumped parameter sections. By this approach state equations are formulated for the system by choosing the capacitor voltages and inductor currents as the state variables. These equations are solved by state space techniques to compute steady-state and transient responses of transmission lines for various source and load connections. A computer program called LPTLAP (Lumped Parameter Transmission Line Transient Analysis Program) has been prepared for both formulation and solution steps.
Highlights
A method for transient analysis of single phase transmission lines based on state-space technique is presented
Discrete time steps are important in the evaluation of numerical integration which may cause errors, and the computations must be carried for all time steps starting from the initial time to calculate the state of the system at any time
X(t) = Ax (t) + Bu(t), yet) = Cx(t) + Du(t). In these equations the state vector x contains some of the capacitor voltages and inductor currents, Xo is the initial value of this vector, the excitation vector u represents the input, y is the vector of output variables which are defmed as some of the voltages and/or currents in the whole system; A, B, C. and D are the constant matrices which depend on the values of the lumped parameters of the network
Summary
Linear, lumped parameter networks containing resistors, capacitors, inductors and voltage and current sources can be represented by the so called state-space equations written in the form [10]. In these equations the state vector x contains some of the capacitor voltages and inductor currents, Xo is the initial value of this vector, the excitation vector u represents the input, y is the vector of output variables which are defmed as some of the voltages and/or currents in the whole system; A, B, C. and D are the constant matrices which depend on the values of the lumped parameters of the network. Program reads input data which contains the information about system such as the parameters of overhead line, source type and parameters, load type and parameters, type of study and in case of fault analysis type of fault, the output variables, etc.
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