How to create a 3 - by - 3 vector for a PI Section Line
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PI Section Line
3 - by - 3 Vector
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Rahul
2024 年 10 月 17 日
Hi @Eddie, can you specify about which kind of pi section line are you trying to implement, and what '3 - by - 3 Vector' signify here?
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Rahul
2024 年 10 月 21 日
Hi Eddie,
Assuming that you are trying to use a pi-section line block in your Simulink Model, while passing a (1, 2) vectors of inductance and resistance per unit length. The specified error is being generated due to the use of a (2, 1) matrices, equal to the number of phases N (=2, in this case) rather than a (2, 2) or (N, N) impedance matrix, which has been mentioned in the documentation:
In a 2-phase transmission line, the electrical behavior is influenced by both the self-impedance of each individual phase and the mutual impedance between the phases. The 2×2 impedance matrix Z is used to account for these two aspects:
- Self-Impedances: The self-impedance for each phase describes the impedance that a particular phase (such as phase 1) experiences due to its own resistance and inductance. This corresponds to the inductors and resistors associated with each line (seen between points labeled as A and α for phases 1, 2, and 3 in the given figure).
In the matrix representation, the diagonal terms Z11, Z22, and would represent the self-impedances for phases 1, 2 respectively.
Z=[Z11 Z12;
Z21 Z22];
- Mutual Impedances: accounts for the coupling between phases. This means that the impedance of phase 1 will also influence phase 2, and vice versa, due to electromagnetic coupling between the conductors of different phases.
In the matrix representation, the off-diagonal terms Z12, Z21, etc., represent the mutual impedance between the phases. For example:
Z12 describes the impact of phase 1 on phase 2.
Z21 describes the reverse (phase 2 affecting phase 1).
The image depicts a 3-phase Pi-section transmission line model. In this configuration, each phase (1, 2, 3) is represented by a series inductance and resistance (R and L) as well as shunt capacitances (Cg and Cp).
For more information regarding the usage of Pi-Section Line in Simulink, refer to the following documentation link:
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