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1) sin( ) 60 tan( ) cos, Sin( ) 60 tan( 2, Ae e – Maxim Integrated 71M6541 Demo Board User Manual

Page 39: Tan( ) 60 tan( ) 2

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71M6541 Demo Board REV 3.0 User’s Manual

39

Rev 4.0

5.

)

cos(

2

2

180

0

S

XI

XV

E

E

A

A

φ

+

+

=

6.

)

cos(

1

2

)

(

180

0

S

XV

XI

A

E

E

A

φ

+

+

=

Use above results along with E

60

and E

300

to calculate

φ

S

.

7.

1

)

60

cos(

)

60

cos(

60

=

IV

A

A

IV

E

S

XI

XV

φ

1

)

sin(

)

60

tan(

)

cos(

+

=

S

XI

XV

S

XI

XV

A

A

A

A

φ

φ

8.

1

)

60

cos(

)

60

cos(

300

=

IV

A

A

IV

E

S

XI

XV

φ

1

)

sin(

)

60

tan(

)

cos(

=

S

XI

XV

S

XI

XV

A

A

A

A

φ

φ

Subtract 8 from 7

9.

)

sin(

)

60

tan(

2

300

60

S

XI

XV

A

A

E

E

φ

=

use equation 5:

10.

)

sin(

)

60

tan(

)

cos(

2

180

0

300

60

S

S

E

E

E

E

φ

φ

+

+

=

11.

)

tan(

)

60

tan(

)

2

(

180

0

300

60

S

E

E

E

E

φ

+

+

=

12.





+

+

=

)

2

)(

60

tan(

)

(

tan

180

0

300

60

1

E

E

E

E

S

φ

Now that we know the A

XV

, A

XI

, and

φ

S

errors, we calculate the new calibration voltage gain coefficient from the

previous ones:

XV

NEW

A

V

CAL

V

CAL

_

_

=

We calculate PHADJ from

φ

S

, the desired phase lag:

[

]

[

]

+

=

)

2

cos(

)

2

1

(

1

)

tan(

)

2

sin(

)

2

1

(

)

2

cos(

)

2

1

(

2

)

2

1

(

1

)

tan(

2

0

9

0

9

0

9

2

9

20

T

f

T

f

T

f

PHADJ

S

S

π

φ

π

π

φ

And we calculate the new calibration current gain coefficient, including compensation for a slight gain increase
in the phase calibration circuit.

2

9

0

9

0

9

20

20

)

2

1

(

)

2

cos(

)

2

1

(

2

1

))

2

cos(

)

2

1

(

2

2

2

(

2

1

1

_

_

+

+

+

=

T

f

T

f

PHADJ

PHADJ

A

I

CAL

I

CAL

XI

NEW

π

π