Transformations Applied to the Positive Real and Biquadratic Immittance Function PDF Download
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Author: Kurt H. Haase
Publisher:
ISBN:
Category : Electric circuits
Languages : en
Pages : 34
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Book Description
Positive real and biquadratic immitance functions F(s) are realized into three groups each consisting of two times six equivalent circuits. The first group is obtained by interchanging three frequency functions implied in F(s). The second and third group is obtained by applying two proper frequency transformations keeping F(s) invariant.
Author: Kurt H. Haase
Publisher:
ISBN:
Category : Electric circuits
Languages : en
Pages : 34
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Book Description
Positive real and biquadratic immitance functions F(s) are realized into three groups each consisting of two times six equivalent circuits. The first group is obtained by interchanging three frequency functions implied in F(s). The second and third group is obtained by applying two proper frequency transformations keeping F(s) invariant.
Author: Kurt H. Haase
Publisher:
ISBN:
Category : Electric circuits
Languages : en
Pages : 94
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Book Description
It is shown that a positive real immittance function F(s) is of one of eight categories. The category can be recognized by the sign polarities of three test values that are functions of the coefficients of F(s). If F(s) is of a certain category, then 1/F(s) can only be of some other categories. According to the categories of F(s) and 1/F(s) the immittance function can be realized (1) either by an RC or an RL network with positive elements, (2) by an RLC network with exclusively positive elements and an equivalent model circuit, or (3) only by model circuits. A model circuit is an RLC ladder structure with one negative branch element. The RC, RL, RLC, and model circuits have several equivalences.
Author: Kurt H. Haase
Publisher:
ISBN:
Category : Electric circuits
Languages : en
Pages : 76
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Book Description
The paper presents a novel technique for computing the elements of the Brune realization and of the Bott-Duffin realization of a bi-order-n and positive real immittance function F(s) = N(s)/D(s). Polynomials N(s) and D(s) are normalized (N sub n = D sub n = 1) polynomials of the even order n. The computational procedure gives explicit and straight forward instructions and formulas for obtaining the respective circuit elements. The procedure has the advantage of keeping the unavoidable computational inaccuracies to a minimum and of operating exclusively in the real domain of the respective variable. The methods of Horner, Bairstow, and Sturm and some polynomial divisions are the only tools of numerical analysis that have to be used in the computation, which can easily be performed on a desk calculating machine even if the order n of F(s) is quite high. (Author).
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Category : Government publications
Languages : en
Pages : 1016
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Category : Aeronautics
Languages : en
Pages : 1388
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Category : Phonetics
Languages : en
Pages : 104
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Author: Air Force Cambridge Research Laboratories (U.S.)
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Category : Geophysics
Languages : en
Pages : 350
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Category :
Languages : en
Pages : 400
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Category : Science
Languages : en
Pages : 776
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Author: Kurt H. Haase
Publisher:
ISBN:
Category : Electric circuits
Languages : en
Pages : 34
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Book Description
