Extension to multi-access circuits
Linear circuits - Parametric representation

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E104 V2 Article

Extension to multi-access circuits
Linear circuits - Parametric representation

Author : André PACAUD

Review date: August 31, 2023 | Lire en français

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4. Extension to multi-access circuits

The notion of parametric representation can be extended to a multi-access circuit under the same conditions as in the case of a quadripole:

  • no independent sources in the circuit ;

  • for each access, the current entering one terminal exits through the other terminal.

Let there be an n-port circuit satisfying the above conditions. We define, for each access k, the 2 n quantities Vk and Ik. Since the circuit is linear, n quantities can be expressed in linear form as a function of n others. For example, we define the Z parameters of the n-port circuit by expressing voltages as a function of currents:

V1=Z11 I1+Z12 I2…+Z1n InV2=Z21 I1+Z22 I2…+Z2n In…Vn=Zn1 I1+Zn2 I2…+Znn In
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