Electrical transformer having a controlled distribution of leakage inductance
The present invention relates to an electrical transformer comprising a magnetic core and a primary coil, forming a primary circuit, and a secondary coil, forming a secondary circuit, electrical transformer configured such that: a first inductance value L 1so measured on the primary circuit with the secondary circuit open, a second inductance value L 1ss measured on the primary circuit with the secondary circuit short-circuited, and a third inductance value L 2po measured on the secondary circuit with the primary circuit open, are such that: L 2 P O - 1 n 2 L M < ( 1 A ) · ( L 1 SO - L M ) with L M =√{square root over (( L 1SO −L 1SS )× L 1SO ·N 2 )} where A is a real number greater than 10.
1. An electrical transformer comprising a magnetic core and a primary coil, a primary circuit, a secondary coil, and a secondary circuit, the electrical transformer configured such that:
a first inductance value L 1so measured on the primary circuit with the secondary circuit open,
a second inductance value L 1ss measured on the primary circuit with the secondary circuit short-circuited, and
a third inductance value L 2po measured on the secondary circuit with the primary circuit open,
satisfy the following condition:
L
2
PO
-
1
n
2
L
M
<
(
1
A
)
·
(
L
1
SO
-
L
M
)
with
L M =√{square root over (( L 1SO −L 1SS )× L 1SO ·N 2 )}
where A is a real number greater than 10 and less than or equal to 100; and
where N is a transformation ratio of the transformer.
2. The electrical transformer according to claim 1 , wherein A is a real number greater than or equal to 50.
3. A method for producing the electrical transformer of claim 1 , said method comprising the following steps:
a selection of a magnetic core geometry for the electrical transformer to produce;
a determination of a thickness of an air gap corresponding to a desired magnetising inductance value of the electrical transformer to produce;
secondary windings on the magnetic core having the selected magnetic core geometry and a thickness of the air gap so as to cover said air gap;
a determination of a leakage reluctance value of the electrical transformer as a function of a ratio between a desired leakage inductance value on the primary circuit of the electrical transformer to produce and the desired magnetising inductance value of the electrical transformer to produce;
a determination of a distance h between the primary windings, configured to form the primary circuit of the electrical transformer to produce and the secondary windings, as a function of said leakage reluctance value; and
a winding of the primary windings on the magnetic core of the electrical transformer at said distance h from the secondary windings.
4. The method according to claim 3 , wherein the magnetic core is selected from type E or type EI.
5. The method according to claim 4 , wherein the following equation is implemented:
L
M
=
N
1
2
*
μ
0
S
e
where N 1 is the number of windings on the primary circuit, μ 0 is the electromagnetic permeability of air and S is the effective magnetic cross section area of the electrical transformer,
to determine the value of the required thickness e of the air gap, corresponding to the desired magnetising inductance value L M .
6. The method according to claim 4 , wherein the following equations are implemented:
Rgap
=
1
μ
0
*
e
S
where R gap is the air gap reluctance of the electrical transformer, μ 0 is the electromagnetic permeability of air, e is the thickness of the air gap of the electrical transformer and S is the effective magnetic cross section area of the electrical transformer and
Rgap
Rleakage
=
Lf
1
L
M
where Rleakage is the leakage reluctance of the electrical transformer, Lf 1 is the leakage inductance on the primary circuit of the electrical transformer and L M is the magnetising inductance of the electrical transformer, to determine the leakage reluctance value of the electrical transformer.
7. The method according to claim 4 , wherein the following equation is implemented:
Rleakage
=
1
2
μ
0
*
l
h
*
m
where Rleakage is the leakage reluctance of the electrical transformer, μ 0 is the electromagnetic permeability of air, m is the magnetic core depth of the electrical transformer and 1 is the width of an electromagnetic leakage zone between the primary windings and the secondary windings, corresponding to the distance separating an outer leg and a central leg of the magnetic core of type E or of type EI,
to determine the value of the distance h between the primary windings and the secondary windings.