2Transformers.mw

> t := 4 * Pi;

Mains voltage. Amplitude and frequency are relative.

> plot(sin(x),x=0..t,y=-1..1);

t := 4*Pi

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We'll say our transformers are 2:1 step-downs just for simplicity. Below is transformer 1.

> t1u := .5*sin(x);

> plot(t1u,x=0..t,y=-1..1);

t1u := .5*sin(x)

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>

Rectified transformer 1 (full-wave)

> t1r := abs(t1u);

> plot(t1r,x=0..t,y=-1..1);

t1r := .5*abs(sin(x))

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Transformer 2, connected backwards

> t2u := -t1u;

> plot(t2u,x=0..t,y=-1..1);

t2u := -.5*sin(x)

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Rectified transformer 2 (full-wave)

> t2r := abs(t2u);

> plot(t2r,x=0..t,y=-1..1);

t2r := .5*abs(sin(x))

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Both bridges in parallel

> plot(max(t1r,t2r),x=0..t,y=-1..1);

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However, if our second transformer was 90 degrees out of phase instead of 180... We'll call it transformer 3.

> t3u := .5 * sin(x + (Pi / 2));

> plot(t3u,x=0..t,y=-1..1);

t3u := .5*cos(x)

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Rectified transformer 3 (full-wave)

> t3r := .5 * abs(sin(x + (Pi / 2)));

> plot(t3r,x=0..t,y=-1..1);

t3r := .5*abs(cos(x))

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Bridges in parallel

> plot(max(t1r,t3r),x=0..t,y=-1..1);

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