Operator Resistance

Operator resistances - mapping of real electrical resistances using operational calculus methods used in the operator method for calculating transients in electrical circuits.

When converting an electrical circuit, the following replacement is performed:

active resistance

R\quad \Rightarrow \quad R

{\ displaystyle R \ quad \ Rightarrow \ quad R}

{\ displaystyle R \ quad \ Rightarrow \ quad R}

,

inductance

L\quad \Rightarrow \quad Lp

{\ displaystyle L \ quad \ Rightarrow \ quad Lp}

{\ displaystyle L \ quad \ Rightarrow \ quad Lp}

,

electric capacity

C\quad \Rightarrow \quad {\frac {1}{Cp}}

{\ displaystyle C \ quad \ Rightarrow \ quad {\ frac {1} {Cp}}}

{\ displaystyle C \ quad \ Rightarrow \ quad {\ frac {1} {Cp}}}

.

In addition, in the operator equivalent circuit, additional operator emfs should be added to the operator resistances of the inductance and capacitance:

Operator EMF should be added to the operator resistance of the inductance $Li_{L}(0)$ ${\ displaystyle Li_ {L} (0)}$ ${\ displaystyle Li_ {L} (0)}$ directed in the same direction as the current through a given inductance. Operator EMF should be added to the operator resistance of the capacitance ${\frac {U_{C}(0)}{p}}$ ${\ displaystyle {\ frac {U_ {C} (0)} {p}}}$ ${\ displaystyle {\ frac {U_ {C} (0)} {p}}}$ directed in the direction opposite to the direction of the current through the given capacity. Here $i_{L}(0)$ ${\ displaystyle i_ {L} (0)}$ ${\ displaystyle i_ {L} (0)}$ and $U_{C}(0)$ ${\ displaystyle U_ {C} (0)}$ ${\ displaystyle U_ {C} (0)}$ - independent initial conditions .

Literature

Bessonov L.A. Ch. 8. Transients in linear electrical circuits // Theoretical foundations of electrical engineering. Electric circuits: a textbook. - 11th ed., Revised. and additional .. - M .: "Gardariki", 2007. - S. 231, 235-236. - 701 s. - 5,000 copies. - ISBN 5-8297-0046-8 , BBK 31.21, UDC 621.3.013 (078.5).

Operator Resistance

Literature

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