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Equivalent Circuit of a Electrical Transformer-Electronicsinfos

Practical Transformer 

    Equivalent circuit of transformer
    Equivalent Circuit of an Electrical Transformer
    A practical Transformer is a type of transformer in which the input power is not equal to the output power. it means copper loss and iron loss appear in the practical transformer.

    Input power ≠ output power

    Equivalent Resistance

    We know that an ideal transformer is a type of transformer in which the input power is equal to the output power which means no losses occur in the transformer. Still, the practical transformer is different to an ideal transformer because the input power is not equal to the output power in the practical transformer due to copper losses and iron losses.

    primary and secondary windings have some value of resistance that causes the voltage drop in the practical transformer.

    equivalent resistance of transformer
    Equivalent Circuit of an Electrical Transformer

    The primary winding resistance is R1 and the Secondary winding resistance is R₂. you can easily transfer one resistance to another.

    If we need to transfer the secondary winding resistance R₂ toward the primary side simply divide it with K² and it represents R'₂.

    R'₂=R₂/k² =equivalent Secondary Resistance

    The copper losses of secondary are equal to  I²R.

    I1²R' = I²R

    R'= {I2:I1}²R

    if we Neglect No load current Io

    I:I1=1:k

    R'=R₂/K²

    We transfer Equivalent primary resistance toward the secondary

    R'=RK²: equivalent primary Resistance

    equivalent circuit of resistance
    Equivalent Circuit of an Electrical Transformer

    Equivalent Circuit of an Electrical Transformer

    Let's Suppose The transformer Resistance and Leakage reactance are outside the windings and No load Current Io flows in the pure inductance Xo and Non-Inductive resistance Ro.

    Equivalent Circuit of an Electrical Transformer
    Equivalent Circuit of an Electrical Transformer

    Xo = E1/Io 

    Ro = E1/Io

    We know that

    E2/E1 = N2/N1 = K

    To make the calculations easy we simply transfer voltage, and current on one side.

    E'₂ = E₂/k=E₁

    The output voltage of the primary equivalent

    V'₂ = V₂/K

    Primary Equivalent of secondary current
    I'₂=KI
    Equivalent Circuit of Transformer
    Equivalent Circuit of an Electrical Transformer

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