Synthesis of R-L-C Networks

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Mewar university Presentation :- Circuit Analysis Present by :- sandeep singh Roll no :- 10MUBEEE104 BATCH:- EEE B

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Transcript of Synthesis of R-L-C Networks

Page 1: Synthesis of R-L-C Networks

Mewar university

Presentation :- Circuit Analysis

Present by :- sandeep singh

Roll no :- 10MUBEEE104

BATCH:- EEE B

Page 2: Synthesis of R-L-C Networks

Synthesis of R-L-C Networks

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Impedence or admittance is the ratio of odd to even or even to odd polynomials.

The poles and zeros are simple and lie on the jw axis.

The poles and zeros interlace on the jw axis. The highest powers of numerator and

denominator must differ by unity; the lowest powers also differ by unity.

There must be either a zero or a pole at the origin and infinity.

Properties of L-C immitance

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Poles and zeros lie on the negative real axis, and they alternate.

The singularity nearest to (or at) the origin must be a pole whereas the singularity nearest to (or at) σ=-∞ must be zero.

The residues of the poles must be real and positive.

Properties of R-C impedences

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Poles and zeros of an R-L impedance or R-C admittance are located on the negative real axis, and they alternate.

The singularity nearest to (or at) the origin is zero. The singuarity nearest to (or at) s = -∞ must be a pole.

The residues of the poles must be real and negative.

Properties of R-L impedences

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When, positive real function is given, and it is found that the function is not synthesizable by using two kinds of elements only, R-L-C driving-point functions can be synthesized.

A continued fraction expansion or a partial fraction expansion be tried first.

Synthesis of certain R-L-C functions

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Partial Fraction

Continued Fraction

2 Methods to synthesize

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Continued Fraction Expansion

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Partial Fraction Expansion


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