TECHNICAL FIELD
[0002] The present application relates to the technical field of electric power measurement
standard equipment, for example, a dual-stage excitation high-voltage ratio standard
apparatus and additionally relates to an error compensation method for the dual-stage
excitation high-voltage ratio standard apparatus.
BACKGROUND
[0003] A power frequency voltage ratio standard is a measurement tool and means for reproducing
a power frequency voltage ratio and two conditions of stability and traceability need
to be satisfied. With the rapid development of the power industry in the past two
centuries in the world, the research and application of the power frequency voltage
ratio standard have also experienced a long development process. At present, the power
frequency voltage ratio standards commonly used in the world mainly include a resistive
type, a capacitive type, and an electromagnetic type.
[0004] Resistive and capacitive standard apparatuses are greatly affected by temperature
and less stable than an electromagnetic standard apparatus. An electromagnetic power
frequency voltage ratio standard has the advantages of a simple principle, convenient
use, stability, and reliability. In an electromagnetic structure, a dual-stage ratio
standard apparatus with high accuracy and good stability is most widely applied.
[0005] Since the highest voltage level of a traditional dual-stage ratio standard apparatus
is only 10 kV, a low-voltage excitation structure may be used for developing a dual-stage
ratio standard apparatus of more than 10 kV. At present, ratio standard apparatuses
of 35 kV and 110 kV have been successfully developed. Though the low-voltage excitation
structure makes a breakthrough under the voltage level of

kV, it still has drawbacks. During an error calibration test, if a rated transformation
ratio of a ratio standard apparatus is inconsistent with a rated transformation ratio
of an instrument transformer under test, it is usually necessary to cascade a multi-decade
inductive voltage divider on a secondary side, so as to obtain a consistent transformation
ratio.
SUMMARY
[0006] The present application provides a dual-stage excitation high-voltage ratio standard
apparatus.
[0007] The apparatus includes a first-stage iron core C1, a second-stage iron core C2, a
proportional winding
N1, a proportional winding
N2 , an excitation winding
N1e, and an excitation winding
N2e.
[0008] Each of the first-stage iron core C1 and the second-stage iron core C2 is a rectangular
ring, and a rectangular ring of the first-stage iron core C1 has a greater perimeter
than a rectangular ring of the second-stage iron core C2.
[0009] The second-stage iron core C2 is disposed outside the first-stage iron core C1, and
a side of the first-stage iron core C1 is adjacent to a side of the second-stage iron
core C2.
[0010] The excitation winding
N1e and the excitation winding
N2e are wound on sides opposite to the side of the first-stage iron core C1 adjacent
to the second-stage iron core C2 to form a first-stage voltage transformer, the proportional
winding
N1 and the proportional winding
N2 are wound on two adjacent sides of the first-stage iron core C1 and the second-stage
iron core C2 to form a second-stage voltage transformer, the excitation winding
N1e and the excitation winding
N2e have the same winding direction, the proportional winding
N1 and the proportional winding
N2 have the same winding direction, and the excitation winding (
N1e) and the excitation winding (
N2e) have a winding direction opposite to a winding direction of the proportional winding
(
N1) and the proportional winding (
N2).
[0011] The two adjacent sides of the first-stage iron core C1 and the second-stage iron
core C2 have the same magnetic flux direction.
[0012] The first-stage iron core (C1) may have a larger cross-sectional area than the second-stage
iron core (C2).
[0013] The dual-stage excitation high-voltage ratio standard apparatus may further include
features described below.
[0014] The number of turns of the excitation winding
N1e is equal to the number of turns of the proportional winding
N1, and the number of turns of the excitation winding
N2e is equal to the number of turns of the proportional winding
N2.
[0015] A material of the first-stage iron core C1 may include silicon steel, and a material
of the second-stage iron core C2 may include permalloy.
[0016] The present application provides an error compensation method for a dual-stage excitation
high-voltage ratio standard apparatus. The method is applied to the dual-stage excitation
high-voltage ratio standard apparatus mentioned in the preceding description and includes
steps described below.
[0017] The number of turns of a proportional winding of a dual-stage excitation high-voltage
ratio standard apparatus to be compensated, the number of turns and a transformation
ratio of a compensation winding of a compensation low-voltage transformer, a phase-shift
angle of a phase-shift circuit, and an angle compensation amount are obtained, and
an error compensation amount of the dual-stage excitation high-voltage ratio standard
apparatus to be compensated is calculated, where the error compensation amount includes
a ratio difference compensation amount and an angular difference compensation amount.
[0018] An error of the dual-stage excitation high-voltage ratio standard apparatus to be
compensated is compensated for by using the error compensation amount.
[0019] After the error compensation amount of the dual-stage excitation high-voltage ratio
standard apparatus to be compensated is calculated, the method may further include
steps described below.
[0020] The compensation low-voltage transformer is used for performing secondary compensation
for a capacitive error and a magnetic error of the dual-stage excitation high-voltage
ratio standard apparatus to be compensated.
[0021] That the error compensation amount of the dual-stage excitation high-voltage ratio
standard apparatus to be compensated is calculated may include a step described below.
[0022] The ratio difference compensation amount and the angular difference compensation
amount of the dual-stage excitation high-voltage ratio standard apparatus to be compensated
are respectively calculated with the following formulas:

and

where Δ
εf denotes the ratio difference compensation amount, Δ
εδ denotes the angular difference compensation amount,
N2 denotes the number of turns of the proportional winding of the dual-stage excitation
high-voltage ratio standard apparatus to be compensated,
N4 denotes the number of turns of the compensation winding of the compensation low-voltage
transformer, K1 and K2 denote transformation ratios of the compensation low-voltage
transformer,
α denotes the phase-shift angle of the phase-shift circuit, and
β denotes the angle compensation amount.
[0023] The error compensation method may further include a step described below.
[0024] An accuracy level of the dual-stage excitation high-voltage ratio standard apparatus
to be compensated is determined with the following formulas;

and

where
ε1 denotes a first-stage error;
ε2 denotes a second-stage error;
ε denotes an overall dual-stage error;
I01-an exciting current of a first-stage voltage transformer;
I02-an exciting current of a second-stage voltage transformer;
Zm1-exciting impedance of the first-stage voltage transformer;
Zm2-exciting impedance of the second-stage voltage transformer;
Z1e-internal impedance of a primary winding of the first-stage voltage transformer;
Z1-internal impedance of a primary winding of the second-stage voltage transformer;
U1-a primary voltage of the dual-stage excitation high-voltage ratio standard apparatus;
and

secondary voltage of the dual-stage excitation high-voltage ratio standard apparatus
converted to a primary side.
[0025] In the case where the first-stage error is 0.01% to 0.1% and the second-stage error
is 0.1 % to 1%, the overall dual-stage error is 10
-7 to 10
-5.
[0026] The present application provides the dual-stage excitation high-voltage ratio standard
apparatus. Shapes of iron cores and winding manners of proportional windings are changed
and in addition, a high-precision error compensation method is adopted so that a voltage
level of a dual-stage excitation structure is improved. This apparatus can be used
as a power frequency voltage ratio standard instrument of a high accuracy level, which
solves the problem that a highest voltage level of a dual-stage ratio standard apparatus
is low at present and improves a voltage of the dual-stage ratio standard apparatus,
thereby improving the accuracy of a standard ratio apparatus compared with a single-stage
ratio standard apparatus at a high voltage.
BRIEF DESCRIPTION OF DRAWINGS
[0027]
FIG. 1 is a cross-sectional diagram of a dual-stage excitation high-voltage ratio
standard apparatus according to an embodiment of the present application;
FIG. 2 is a schematic diagram showing a winding direction of a dual-stage excitation
high-voltage ratio standard apparatus according to an embodiment of the present application;
FIG. 3 is a circuit diagram showing a principle of a traditional dual-stage voltage
transformer involved in an embodiment of the present application;
FIG. 4 is an equivalent circuit diagram of a traditional dual-stage voltage transformer
involved in an embodiment of the present application;
FIG. 5 is a structural diagram of a traditional dual-stage voltage transformer involved
in an embodiment of the present application;
FIG. 6 is a flowchart of an error compensation method for a dual-stage excitation
high-voltage ratio standard apparatus according to an embodiment of the present application;
FIG. 7 is an error compensation circuit diagram of a dual-stage excitation high-voltage
ratio standard apparatus involved in an embodiment of the present application; and
FIG. 8 is an error compensation vector diagram of a dual-stage excitation high-voltage
ratio standard apparatus involved in an embodiment of the present application.
DETAILED DESCRIPTION
[0028] Details are set forth below to facilitate a thorough understanding of the present
application. The present application can be implemented in many other manners which
are different from this description.
[0029] FIG. 1 is a cross-sectional diagram of a dual-stage excitation high-voltage ratio
standard apparatus according to an embodiment of the present application. The standard
apparatus provided by the present application is described in detail below in conjunction
with FIG. 1.
[0030] The dual-stage excitation high-voltage ratio standard apparatus includes a first-stage
iron core C1, a second-stage iron core C2, a proportional winding
N1, a proportional winding
N2, an excitation winding
N1e, and an excitation winding
N2e. Both the first-stage iron core C1 and the second-stage iron core C2 are rectangular
rings. As shown in FIG. 1, a rectangular ring of the first-stage iron core C1 has
a greater perimeter than a rectangular ring of the second-stage iron core C2. The
first-stage iron core C1 has a larger cross-sectional area than the second-stage iron
core C2 as viewed from the A-A direction. In an embodiment, a cross section of the
first-stage iron core C1 is a circle and a cross section of the second-stage iron
core C2 is a rectangle. The second-stage iron core C2 is disposed outside the first-stage
iron core C1, and one side of the first-stage iron core C1 is adjacent to one side
of the second-stage iron core C2.
[0031] The excitation winding
N1e and the excitation winding
N2e are wound on sides opposite to the side of the first-stage iron core C1 adjacent
to the second-stage iron core C2 to form a first-stage voltage transformer. The proportional
winding
N1and the proportional winding
N2 are wound on two adjacent sides of the first-stage iron core C1 and the second-stage
iron core C2 to form a second-stage voltage transformer. In FIG. 1,
φ1 denotes magnetic flux generated by the excitation winding
N1e and the proportional winding
N1 on the first-stage iron core C1, and
φ2 denotes magnetic flux generated by the proportional winding
N1 on the second-stage iron core C2. The number of turns of the excitation winding
N1e is equal to the number of turns of the proportional winding
N1, and the number of turns of the excitation winding
N2e is equal to the number of turns of the proportional winding
N2. The excitation winding
N1e and the excitation winding
N2e have the same winding direction, the proportional winding
N1 and the proportional winding
N2 have the same winding direction, and two sets of excitation windings and two sets
of proportional windings have opposite winding directions, where a winding manner
is shown in FIG. 2. In the preceding winding direction, the two adjacent sides of
the first-stage iron core C1 and the second-stage iron core C2 have the same magnetic
flux direction.
[0032] In an embodiment, silicon steel may be used as a material of the first-stage iron
core C1, and permalloy may be used as a material of the second-stage iron core C2.
[0033] The dual-stage excitation high-voltage ratio standard apparatus provided by the present
application is actually a dual-stage voltage transformer. A circuit diagram showing
a principle of a traditional dual-stage voltage transformer is shown in FIG. 3. The
traditional dual-stage voltage transformer is a specially-structured voltage transformer
formed by two stages of voltage transformers. In FIG. 3, an excitation winding
N1e is a primary excitation winding, and the excitation winding
N2e is a secondary power supply winding. The excitation winding
N1e and the excitation winding
N2e are wound on a first-stage iron core C1 to form a first-stage voltage transformer
which is equivalent to a general single-stage voltage transformer. A proportional
winding
N1 and a proportional winding
N2 are wound on the first-stage iron core C1 and the second-stage iron core C2 so that
the proportional winding
N1, the proportional winding
N2, the first-stage iron core C1, and the second-stage iron core C2 form a second-stage
voltage transformer. Thus, the excitation winding
N1e, the excitation winding
N2e, the proportional winding
N1, the proportional winding
N2, the first-stage iron core C1, and the second-stage iron core C2 forms the dual-stage
voltage transformer, where the number of turns of the excitation winding
N1e is equal to the number of turns of the proportional winding
N1. An equivalent circuit diagram of the traditional dual-stage voltage transformer
shown in FIG. 3 is shown in FIG. 4.

and

in FIG. 4 respectively denote secondary impedance and a secondary induced voltage
which are converted to a primary side.
[0034] A structural diagram of the traditional dual-stage voltage transformer shown in FIG.
3 is shown in FIG. 5, which may be implemented as follows: the excitation winding
N1e is uniformly wound on the first-stage iron core C1, then the second-stage iron core
C2 is embedded therein, and finally, the proportional winding
N1 is wound on both the first-stage iron core C1 and the second-stage iron core C2.
The reason why a highest voltage level of the traditional dual-stage voltage transformer
is only 10 kV at present is as follows: the second-stage iron core C2 is grounded,
the excitation winding
N1e is immediately adjacent to the second-stage iron core C2, and the proportional winding
N1 is wound outside the excitation winding
N1e, and the insulation between the proportional winding
N1 and the excitation winding
N1e is poor. It is to be noted that the excitation winding
N2e and the proportional winding
N2 are not shown in FIG. 5.
[0035] Compared with the traditional dual-stage voltage transformer, the dual-stage excitation
high-voltage ratio standard apparatus (that is, the dual-stage voltage transformer)
provided by the present application has the following changes: the first-stage iron
core C1 and the second-stage iron core C2 are changed from circular rings to rectangular
rings, a relative position of two iron cores is changed, and the excitation winding
and the proportional winding are wound respectively, thereby solving the problem of
the structure of the traditional dual-stage voltage transformer shown in FIG. 5. In
addition, in the dual-stage excitation high-voltage ratio standard apparatus provided
by the present application, the excitation winding and the proportional winding have
the opposite winding directions so that the two adjacent sides of the first-stage
iron core C1 and the second-stage iron core C2 have the same magnetic flux direction.
[0036] A dual-stage excitation high-voltage ratio standard apparatus under the voltage level
of

kV is developed according to a structure design method for the dual-stage voltage
transformer and a dual-stage excitation principle.
[0037] First, the example is used in which silicon steel sheets are used as the material
of the first-stage iron core C1. A working magnetic flux density of the iron core
at a rated voltage is generally 1.0 T, and various factors need to be considered for
selecting an electric potential of a turn selected such as a cross section of the
iron core, error performance, and the number of turns of a secondary winding. On the
premise that the working magnetic flux density is fixed, the greater the electric
potential of the turn is, the larger a cross-sectional area of the iron core needs
to be and thus, exciting admittance increases, thereby increasing an error; and conversely,
if the electric potential of the turn is too small, more turns are required, and thus,
internal impedance of a primary winding becomes high and the error is also increased.
This time, primary windings are selected, where
N1 =
N1e = 150000, and the electric potential of the turn is obtained, where

. The cross-sectional area of the iron core is calculated according to the formula
et = 4.44
fBSk × 10
-4 , where
k denotes a coefficient of iron core laminations and is set to be 0.99, f denotes a
frequency and is set to be 50 Hz, and B denotes the working magnetic flux density
and is set to be 1.0 T such that the cross-sectional area is calculated, where
S=87.36(cm
2).
[0038] A method for calculating a size of the second-stage iron core is similarly to that
of the first-stage iron core, and relevant parameters are as follows:
|
First-stage iron core |
Second-stage iron core |
Iron Core Material |
Silicon steel sheet |
Permalloy 1J85 |
Cross-sectional Shape |
Circle |
Square |
Cross-sectional Area |
87.36 cm2 |
9 cm2 |
Working Magnetic Flux Density |
1.0 T |
0.3 T |
[0039] A simple manufacturing process of the dual-stage excitation high-voltage ratio standard
apparatus is as follows: first, the excitation winding
N2e and the excitation winding
N1e are wound on the first-stage iron core C1, then the second-stage iron core C2 is
disposed on a lower side of the first-stage iron core C1, and the proportional winding
N2 and the proportional winding
N1 are wound on the first-stage iron core C1 and the second-stage iron core C2 at the
same time.
[0040] In a high voltage condition, the error of the dual-stage excitation high-voltage
ratio standard apparatus includes three parts which are an excitation error, a capacitive
error, and a magnetic error, respectively. The excitation error is solved with the
dual-stage excitation principle while secondary compensation may be performed, with
the low-voltage transformer, for the capacitive error caused by a leakage current
and the magnetic error caused by leakage inductance.
[0041] An embodiment of the present application provides an error compensation method for
a dual-stage excitation high-voltage ratio standard apparatus. As shown in FIG. 6,
the method includes steps described below.
[0042] In step S101, an error compensation amount of a dual-stage excitation high-voltage
ratio standard apparatus to be compensated is calculated according to the number of
turns of a proportional winding of the dual-stage excitation high-voltage ratio standard
apparatus to be compensated, the number of turns and a transformation ratio of a compensation
winding of a compensation low-voltage transformer, a phase-shift angle of a phase-shift
circuit, and an angle compensation amount, where the error compensation amount includes
a ratio difference compensation amount and an angular difference compensation amount.
[0043] In step S102, an error of the dual-stage excitation high-voltage ratio standard apparatus
to be compensated is compensated for by using the error compensation amount.
[0044] In an embodiment, the low-voltage transformer is used for performing the secondary
compensation for the dual-stage excitation high-voltage ratio standard apparatus.
An error compensation circuit diagram is shown in FIG. 7, where P
f is the compensation low-voltage transformer, and
N4 is a compensation winding (the number of turns is generally 1) of the dual-stage
voltage transformer P
0. An error compensation vector diagram is shown in FIG. 8.
[0045] In FIG. 8,
U21 denotes an output of the proportional winding
N2 ,
U2 denotes an output voltage after compensation,
ΔUf denotes a ratio difference compensation voltage, Δ
Uδ denotes an angular difference compensation voltage,
α denotes the phase-shift angle of the phase-shift circuit, and
β denotes a final angle compensation amount.

and

[0046] It can be seen from the error compensation vector diagram that when quadrature component
compensation is performed, an in-phase component error is caused. Thus, the ratio
difference compensation amount is formed by two parts: the in-phase component itself
and the influence caused when the quadrature component compensation is performed.
Therefore, the ratio difference compensation amount and the angular difference compensation
amount of the dual-stage excitation high-voltage ratio standard apparatus (that is,
the dual-stage voltage transformer) to be compensated are respectively calculated
with the following formulas:

and

where Δ
εf denotes the ratio difference compensation amount, Δ
εδ denotes the angular difference compensation amount,
N2 denotes the number of turns of the proportional winding of the dual-stage excitation
high-voltage ratio standard apparatus to be compensated,
N4 denotes the number of turns of the compensation winding of the compensation low-voltage
transformer, K1 and K2 denote transformation ratios of the compensation low-voltage
transformer,
α denotes the phase-shift angle of the phase-shift circuit, and
β denotes the angle compensation amount.
[0047] Then, the error compensation method for the dual-stage excitation voltage ratio standard
apparatus is used for calculating an error compensation amount of the dual-stage excitation
high-voltage ratio standard apparatus under the voltage level of

kV provided by the present application, where relevant parameters are set as follows:
N2 = 41,
N4 = 1, R = 100 Ω ,
C = 10
uf,
K1=200, and
K2=500.
[0048] The preceding parameters are substituted into formulas (4) and (5) so that the following
results are obtained after calculation:

and

[0049] The dual-stage excitation high-voltage ratio standard apparatus provided by the present
application is actually the dual-stage voltage transformer and can be used as a standard
apparatus because one accuracy level is improved over a current national highest standard
apparatus.
[0050] In an embodiment, the accuracy level of the dual-stage excitation voltage ratio standard
apparatus to be compensated may be determined with the following formulas:

and

where
ε1 denotes a first-stage error;
ε2 denotes a second-stage error;
ε denotes an overall dual-stage error;
I01-an exciting current of the first-stage voltage transformer;
I02-an exciting current of the second-stage voltage transformer;
Zm1-exciting impedance of the first-stage voltage transformer;
Zm2-exciting impedance of the second-stage voltage transformer;
Z1e-internal impedance of a primary winding N1e of the first-stage voltage transformer;
Z1-internal impedance of a primary winding N1 of the second-stage voltage transformer;
U1-a primary voltage of the dual-stage excitation high-voltage ratio standard apparatus;
and

secondary voltage of the dual-stage excitation high-voltage ratio standard apparatus
converted to a primary side.
[0051] With the preceding accuracy level determination method, the accuracy level of the
dual-stage excitation high-voltage ratio standard apparatus under the voltage level
of

kV provided by the present application is 0.002, which is one class higher than the
accuracy level (0.005) of the current national highest standard apparatus under the
voltage level of

kV.
[0052] The overall dual-stage error of the dual-stage excitation high-voltage ratio standard
apparatus is a negative value of the product of the first-stage error (an error of
the first-stage voltage transformer) and the second-stage error (an error of the second-stage
voltage transformer). Internal impedance of the second-stage voltage transformer is
equivalent to internal impedance of the first-stage voltage transformer. However,
since excitation impedance decreases, if the first-stage error is 0.01 % to 0.1%,
the second-stage error is 0.1 % to 1%, and then the overall dual-stage error is 10
-7 to 10
-5. Thus, the dual-stage excitation high-voltage ratio standard apparatus can be used
as a power frequency voltage ratio standard instrument of a high accuracy level.
[0053] The present application provides the dual-stage excitation high-voltage ratio standard
apparatus. Shapes of iron cores and winding manners of proportional windings are changed
and in addition, a high-precision error compensation method is adopted so that a voltage
level of a dual-stage excitation structure is improved. This apparatus can be used
as the power frequency voltage ratio standard instrument, which solves the problem
that a highest voltage level of a dual-stage ratio standard apparatus is low at present
and improves a voltage of the dual-stage ratio standard apparatus, thereby improving
the accuracy of a ratio standard apparatus compared with a single-stage ratio standard
apparatus at a high voltage.
1. A dual-stage excitation high-voltage ratio standard apparatus, comprising:
a first-stage iron core (C1), a second-stage iron core (C2), a proportional winding
(N1), a proportional winding (N2), an excitation winding (N1e), and an excitation winding (N2e);
wherein each of the first-stage iron core (C1) and the second-stage iron core (C2)
is a rectangular ring, and a rectangular ring of the first-stage iron core (C1) has
a greater perimeter than a rectangular ring of the second-stage iron core (C2);
the second-stage iron core (C2) is disposed outside the first-stage iron core (C1),
and a side of the first-stage iron core (C1) is adjacent to a side of the second-stage
iron core (C2);
the excitation winding (N1e) and the excitation winding (N2e) are wound on sides opposite to the side of the first-stage iron core (C1) adjacent
to the second-stage iron core (C2) to form a first-stage voltage transformer, the
proportional winding (N1) and the proportional winding (N2) are wound on two adjacent sides of the first-stage iron core (C1) and the second-stage
iron core (C2) to form a second-stage voltage transformer, the excitation winding
(N1e) and the excitation winding (N2e) have a same winding direction, the proportional winding (N1) and the proportional winding (N2) have a same winding direction, and the excitation winding (N1e) and the excitation winding (N2e) have a winding direction opposite to a winding direction of the proportional winding
(N1) and the proportional winding (N2); and
the two adjacent sides of the first-stage iron core (C1) and the second-stage iron
core (C2) have a same magnetic flux direction.
2. The apparatus according to claim 1, wherein the first-stage iron core (C1) has a larger
cross-sectional area than the second-stage iron core (C2).
3. The apparatus according to claim 1 or 2, wherein the apparatus further comprises:
a number of turns of the excitation winding (N1e) being equal to a number of turns of the proportional winding (N1), and a number of turns of the excitation winding (N2e) being equal to a number of turns of the proportional winding (N2).
4. The apparatus according to any one of claim 1 to 3, wherein a material of the first-stage
iron core (C1) comprises silicon steel, and a material of the second-stage iron core
(C2) comprises permalloy.
5. An error compensation method for a dual-stage excitation high-voltage ratio standard
apparatus, wherein the method is applied to the dual-stage excitation high-voltage
ratio standard apparatus according to any one of claims 1 to 4 and the method comprises:
calculating an error compensation amount of a dual-stage excitation high-voltage ratio
standard apparatus to be compensated according to a number of turns of a proportional
winding of the dual-stage excitation high-voltage ratio standard apparatus to be compensated,
a number of turns and a transformation ratio of a compensation winding of a compensation
low-voltage transformer, a phase-shift angle of a phase-shift circuit, and an angle
compensation amount, wherein the error compensation amount comprises a ratio difference
compensation amount and an angular difference compensation amount; and
compensating, by using the error compensation amount, for an error of the dual-stage
excitation high-voltage ratio standard apparatus to be compensated.
6. The method according to claim 5, wherein after calculating the error compensation
amount of the dual-stage excitation high-voltage ratio standard apparatus to be compensated,
the method further comprises:
using the compensation low-voltage transformer for performing secondary compensation
for a capacitive error and a magnetic error of the dual-stage excitation high-voltage
ratio standard apparatus to be compensated.
7. The method according to claim 5 or 6, wherein calculating the error compensation amount
of the dual-stage excitation high-voltage ratio standard apparatus to be compensated
comprises:
calculating the ratio difference compensation amount and the angular difference compensation
amount of the dual-stage excitation high-voltage ratio standard apparatus to be compensated
with the following formulas respectively:

and

wherein Δεf denotes the ratio difference compensation amount, Δεδ denotes the angular difference compensation amount, N2 denotes the number of turns of the proportional winding of the dual-stage excitation
high-voltage ratio standard apparatus to be compensated, N4 denotes the number of turns of the compensation winding of the compensation low-voltage
transformer, K1 and K2 denote transformation ratios of the compensation low-voltage
transformer, α denotes the phase-shift angle of the phase-shift circuit, and β denotes the angle compensation amount.
8. The method according to any one of claim 5 to 7, further comprising:
determining an accuracy level of the dual-stage excitation high-voltage ratio standard
apparatus to be compensated with the following formulas;


and

wherein ε1 denotes a first-stage error;
ε2 denotes a second-stage error;
ε denotes an overall dual-stage error;
I01-an exciting current of a first-stage voltage transformer;
I02-an exciting current of a second-stage voltage transformer;
Zm1-exciting impedance of the first-stage voltage transformer;
Zm2-exciting impedance of the second-stage voltage transformer;
Z1e-internal impedance of a primary winding of the first-stage voltage transformer;
Z1-internal impedance of a primary winding of the second-stage voltage transformer;
U1-a primary voltage of the dual-stage excitation high-voltage ratio standard apparatus;
and

-a secondary voltage of the dual-stage excitation high-voltage ratio standard apparatus
converted to a primary side.
9. The method according to claim 8, wherein in a case where the first-stage error is
0.01% to 0.1% and the second-stage error is 0.1 % to 1%, the overall dual-stage error
is 10-7 to 10-5.