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CN105161258A - Wide-range current transformer and gas gap length calculation method - Google Patents

Wide-range current transformer and gas gap length calculation method Download PDF

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Publication number
CN105161258A
CN105161258A CN201510624166.5A CN201510624166A CN105161258A CN 105161258 A CN105161258 A CN 105161258A CN 201510624166 A CN201510624166 A CN 201510624166A CN 105161258 A CN105161258 A CN 105161258A
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China
Prior art keywords
msub
mrow
mfrac
msup
iron core
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CN201510624166.5A
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Inventor
李志新
徐敏锐
卢树峰
杨世海
吴桥
陈铭明
赵双双
陈刚
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State Grid Corp of China SGCC
State Grid Jiangsu Electric Power Co Ltd
Electric Power Research Institute of State Grid Jiangsu Electric Power Co Ltd
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State Grid Corp of China SGCC
State Grid Jiangsu Electric Power Co Ltd
Electric Power Research Institute of State Grid Jiangsu Electric Power Co Ltd
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Priority to CN201510624166.5A priority Critical patent/CN105161258A/en
Publication of CN105161258A publication Critical patent/CN105161258A/en
Pending legal-status Critical Current

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Abstract

The invention provides a wide-range current transformer and a gas gap length calculation method. The transformer structurally comprises a primary winding, a secondary winding and iron cores. The iron cores are composed of the fixed iron core and the movable iron core. A gas gap is formed by disassociating the movable iron core with the transformer. The structure is simple, and implementation is convenient. When primary current of the current transformer is large, the magnetizing curves of the iron cores are located in a linear region by adjusting the gas gap length, the problem that because of saturation of the iron cores, errors are large is effectively solved, and iron core loss is reduced. The gas gap length calculation method and a current inductor error calculation formula are clear, and calculation and analysis are convenient.

Description

Wide-range current transformer and air gap length calculation method
Technical Field
The invention belongs to the field of current transformers, and particularly relates to a structure for widening the measuring range of a current transformer by changing the length of an air gap of an iron core and a design method thereof.
Background
The current transformer is widely applied to the electric energy metering in the links of power generation, power transmission, power transformation and distribution of an electric power system, converts large current on the primary side into uniform small current on the secondary side, and the accuracy of metering, measurement and control is greatly influenced by the quality of the performance of the current transformer. Because the current of the power grid at different places and in different time periods is greatly different from several amperes to tens of thousands of amperes, in order to facilitate measurement, protection and control, the current transformer often needs to make different transformation ratios according to different measured primary current ranges, so that the secondary current is within a specified range.
If the core saturation is not considered, the ratio of the primary side current to the secondary side current is inversely proportional to the number of turns of the primary and secondary windings. Therefore, the conventional current transformer often has a plurality of taps disposed at different positions of the secondary winding, so as to select different transformation ratios for different measurement objects. However, in practice, due to the restriction of factors such as iron core materials, it is difficult for the current transformer with a fixed iron core structure to simultaneously ensure that the measuring working point is in the linear region of the magnetic density of the iron core when the large current transformation ratio and the small current transformation ratio are high, so that the measuring result is inaccurate, and the measuring precision is affected. Research and analysis show that when the magnetic density of the iron core is too small or is close to saturation, the working point of the current transformer can enter a nonlinear characteristic region of the iron core, so that not only is the waveform of the secondary current distorted, but also the current amplitude is influenced, and a large error is generated.
Disclosure of Invention
The invention provides a wide-range current transformer and an air gap length calculation method, aiming at solving the defects and shortcomings in the prior art, and the wide-range current transformer and the air gap length calculation method can ensure that the magnetic flux density of an iron core does not exceed a saturation value when primary current is maximum through adjusting the air gap length, and the iron core characteristic is always located in a linear region.
In order to solve the technical problem, the invention provides a wide-range current transformer which comprises a primary winding, a secondary winding and an iron core, wherein the iron core is composed of a fixed iron core and a movable iron core, and the movable iron core is pulled away from the transformer to form an air gap.
Preferably, the movable iron core comprises at least 1 movable iron core unit, and the movable iron core unit is drawn away from the transformer to form an air gap.
Preferably, the number of the movable iron core units is the number of the current transformer ranges minus 1, wherein the number of the current transformer ranges is at least 2.
A method for calculating the air gap length of a wide-range current transformer comprises the following steps:
step one, according to the perimeter L of the iron coretCalculating the length g of the air gap and the length L of the fixed iron corefAnd the length L of the movable coreaThe relationship is as follows:
Lt=Lf+La+g=πD
wherein D is the diameter of the iron core;
step two, the primary current range of the current transformer is 0-I1_maxThe maximum magnetic flux density allowed by the iron core material in the unsaturated region is BmaxAnd is from 0 to BmaxWithin the range, the relative permeability of the iron core is murThe air gap length g is then:
<math> <mrow> <mi>g</mi> <mo>=</mo> <mfrac> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <msub> <mi>I</mi> <mrow> <mn>1</mn> <mo>_</mo> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> </mrow> <msub> <mi>B</mi> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> </mfrac> <mo>&CenterDot;</mo> <mfrac> <mrow> <msub> <mi>&mu;</mi> <mi>r</mi> </msub> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> </mrow> <mrow> <mo>(</mo> <msub> <mi>&mu;</mi> <mi>r</mi> </msub> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mfrac> <mo>-</mo> <mfrac> <mrow> <msup> <msub> <mi>&omega;SN</mi> <mn>1</mn> </msub> <mn>2</mn> </msup> </mrow> <mrow> <msup> <msub> <mi>Z</mi> <mn>2</mn> </msub> <mo>&prime;</mo> </msup> <mo>+</mo> <msup> <msub> <mi>Z</mi> <mi>L</mi> </msub> <mo>&prime;</mo> </msup> </mrow> </mfrac> <mo>&CenterDot;</mo> <mfrac> <mrow> <msub> <mi>&mu;</mi> <mi>r</mi> </msub> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> </mrow> <mrow> <mo>(</mo> <msub> <mi>&mu;</mi> <mi>r</mi> </msub> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mfrac> <mo>-</mo> <mfrac> <msub> <mi>L</mi> <mi>t</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>&mu;</mi> <mi>r</mi> </msub> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mfrac> </mrow> </math>
wherein N is1The number of primary side winding turns; mu.s0Air permeability; omega is the angular frequency of the current; s is the sectional area of the iron core of the current transformer; z2The value of converting the internal impedance of the secondary side winding to the primary side; zL' is the value of the secondary side load impedance converted to the primary side.
Preferably, the calculation process of the second step is specifically:
the primary side current is in the range of 0 to I1_maxThe corresponding secondary side current range is 0-I2_maxFrom the conservation of magnetomotive force, the following formula is derived:
<math> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <msub> <mi>I</mi> <mrow> <mn>1</mn> <mo>_</mo> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>N</mi> <mn>2</mn> </msub> <msub> <mi>I</mi> <mrow> <mn>2</mn> <mo>_</mo> <mi>max</mi> </mrow> </msub> <mfrac> <msub> <mi>B</mi> <mi>max</mi> </msub> <mrow> <msub> <mi>&mu;</mi> <mi>r</mi> </msub> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> </mrow> </mfrac> <mrow> <mo>(</mo> <msub> <mi>L</mi> <mi>t</mi> </msub> <mo>-</mo> <mi>g</mi> <mo>)</mo> </mrow> <mo>+</mo> <mfrac> <msub> <mi>B</mi> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> </mfrac> <mi>g</mi> </mrow> </math>
wherein N is2The number of turns of the secondary side winding is;
solving by using an equivalent circuit of the current transformer, namely:
<math> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <msub> <mi>I</mi> <mrow> <mn>1</mn> <mo>_</mo> <mi>max</mi> </mrow> </msub> <mfrac> <mrow> <msup> <msub> <mi>Z</mi> <mn>2</mn> </msub> <mo>&prime;</mo> </msup> <mo>+</mo> <msup> <msub> <mi>Z</mi> <mi>L</mi> </msub> <mo>&prime;</mo> </msup> </mrow> <mrow> <msup> <msub> <mi>Z</mi> <mn>2</mn> </msub> <mo>&prime;</mo> </msup> <mo>+</mo> <msup> <msub> <mi>Z</mi> <mi>L</mi> </msub> <mo>&prime;</mo> </msup> <mo>+</mo> <msub> <mi>Z</mi> <mi>m</mi> </msub> </mrow> </mfrac> <mo>=</mo> <mfrac> <msub> <mi>B</mi> <mi>max</mi> </msub> <mrow> <msub> <mi>&mu;</mi> <mi>r</mi> </msub> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> </mrow> </mfrac> <mrow> <mo>(</mo> <msub> <mi>L</mi> <mi>t</mi> </msub> <mo>-</mo> <mi>g</mi> <mo>)</mo> </mrow> <mo>+</mo> <mfrac> <msub> <mi>B</mi> <mi>max</mi> </msub> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> </mfrac> <mi>g</mi> </mrow> </math>
wherein Z ismIn order to be the excitation impedance,will ZmSubstituting the expression of (a) into the above equation yields:
<math> <mrow> <mi>g</mi> <mo>=</mo> <mfrac> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <msub> <mi>I</mi> <mrow> <mn>1</mn> <mo>_</mo> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> </mrow> <msub> <mi>B</mi> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> </mfrac> <mo>&CenterDot;</mo> <mfrac> <mrow> <msub> <mi>&mu;</mi> <mi>r</mi> </msub> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> </mrow> <mrow> <mo>(</mo> <msub> <mi>&mu;</mi> <mi>r</mi> </msub> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mfrac> <mo>-</mo> <mfrac> <mrow> <msup> <msub> <mi>&omega;SN</mi> <mn>1</mn> </msub> <mn>2</mn> </msup> </mrow> <mrow> <msup> <msub> <mi>Z</mi> <mn>2</mn> </msub> <mo>&prime;</mo> </msup> <mo>+</mo> <msup> <msub> <mi>Z</mi> <mi>L</mi> </msub> <mo>&prime;</mo> </msup> </mrow> </mfrac> <mo>&CenterDot;</mo> <mfrac> <mrow> <msub> <mi>&mu;</mi> <mi>r</mi> </msub> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> </mrow> <mrow> <mo>(</mo> <msub> <mi>&mu;</mi> <mi>r</mi> </msub> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mfrac> <mo>-</mo> <mfrac> <msub> <mi>L</mi> <mi>t</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>&mu;</mi> <mi>r</mi> </msub> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mfrac> <mo>.</mo> </mrow> </math>
preferably, the calculation method further includes an error calculation process.
Preferably, the error is calculated by measuring the primary side current in a range of 0 to I1_maxError of current transformer in this state when air gap length is gComprises the following steps:
<math> <mrow> <mover> <mi>&epsiv;</mi> <mo>&CenterDot;</mo> </mover> <mo>=</mo> <mfrac> <mrow> <mo>(</mo> <msub> <mi>N</mi> <mn>1</mn> </msub> <mo>/</mo> <msub> <mi>N</mi> <mn>2</mn> </msub> <mo>)</mo> <msub> <mover> <mi>i</mi> <mo>&CenterDot;</mo> </mover> <mn>2</mn> </msub> <mo>-</mo> <msub> <mover> <mi>i</mi> <mo>&CenterDot;</mo> </mover> <mn>1</mn> </msub> </mrow> <msub> <mover> <mi>i</mi> <mo>&CenterDot;</mo> </mover> <mn>1</mn> </msub> </mfrac> <mo>=</mo> <mo>-</mo> <mfrac> <mrow> <msup> <msub> <mi>Z</mi> <mn>2</mn> </msub> <mo>&prime;</mo> </msup> <mo>+</mo> <msup> <msub> <mi>Z</mi> <mi>L</mi> </msub> <mo>&prime;</mo> </msup> </mrow> <mrow> <msup> <msub> <mi>Z</mi> <mn>2</mn> </msub> <mo>&prime;</mo> </msup> <mo>+</mo> <msup> <msub> <mi>Z</mi> <mi>L</mi> </msub> <mo>&prime;</mo> </msup> <mo>+</mo> <msub> <mi>Z</mi> <mi>m</mi> </msub> </mrow> </mfrac> <mo>=</mo> <mfrac> <mrow> <msub> <mi>&omega;SN</mi> <mn>1</mn> </msub> <msub> <mi>B</mi> <mi>max</mi> </msub> </mrow> <mrow> <msub> <mi>I</mi> <mrow> <mn>1</mn> <mo>_</mo> <mi>max</mi> </mrow> </msub> <mrow> <mo>(</mo> <msup> <msub> <mi>Z</mi> <mn>2</mn> </msub> <mo>&prime;</mo> </msup> <mo>-</mo> <msup> <msub> <mi>Z</mi> <mi>L</mi> </msub> <mo>&prime;</mo> </msup> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>-</mo> <mn>1</mn> </mrow> </math>
wherein,the corresponding range of the primary side actual current value at any time is 0 to I1_MaxMeasuring current for corresponding secondary sideThe value is obtained.
Preferably, the movable iron core comprises at least 1 movable iron core unit, and the movable iron core unit is drawn away from the transformer to form an air gap.
Preferably, the number of the movable iron core units is the number of the current transformer ranges minus 1, wherein the number of the current transformer ranges is at least 2.
The invention achieves the following beneficial technical effects: the wide-range current transformer provided by the invention is simple in structure and convenient to realize; when primary current is large, the current transformer can enable the magnetization curve of the iron core to be located in a linear region by adjusting the length of the air gap, effectively solves the problem of error increase caused by iron core saturation, and reduces iron core loss; the air gap length calculation method and the current transformer error calculation formula provided by the invention are clear and convenient to calculate and analyze.
Drawings
FIG. 1 is a schematic diagram of a current transformer according to the present invention;
FIG. 2 is a graph comparing the secondary current and primary current curves of a gapless current transformer and a gapped current transformer in accordance with an embodiment of the present invention.
Detailed Description
So that the technical features and technical contents of the present invention and technical effects achieved thereby can be better understood, the accompanying drawings of the present invention will be described in more detail with reference to the embodiments.
The invention is further described with reference to the following figures and examples.
As shown in fig. 1, the present invention provides a wide-range current transformer, which comprises a primary winding 1, a secondary winding 2 and an iron core, wherein the iron core is composed of a fixed iron core 3 and movable iron cores 4, and the length and the number of the movable iron cores 4 can be set according to actual requirements, so that the length of the movable iron cores 4 which are pulled away from the transformer to form air gaps 5 is also changed, and the magnetic flux density of the iron core still does not exceed a saturation value when the primary current is maximum, and the iron core characteristic is always located in a linear region. Preferably, the movable core 4 includes at least 1 movable core unit 40, so that different air gap lengths can be obtained when different numbers of movable core units 40 are extracted, the structure is simple, and the operation is convenient.
A method for calculating the air gap length of a wide-range current transformer comprises the following steps:
step one, according to the perimeter L of the iron coretCalculating the length g of the air gap and the length L of the fixed iron corefAnd the length L of the movable coreaThe relationship is as follows:
Lt=Lf+La+g=πD
wherein D is the diameter of the iron core;
secondly, the primary side current range of the current transformer is 0-I1_maxThe corresponding secondary side current range is 0-I2_maxThe maximum magnetic flux density allowed by the iron core material in the unsaturated region is BmaxAnd is from 0 to BmaxWithin the range of relative permeability of murFrom the conservation of magnetomotive force, the following formula is derived:
<math> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <msub> <mi>I</mi> <mrow> <mn>1</mn> <mo>_</mo> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>N</mi> <mn>2</mn> </msub> <msub> <mi>I</mi> <mrow> <mn>2</mn> <mo>_</mo> <mi>max</mi> </mrow> </msub> <mo>=</mo> <mfrac> <msub> <mi>B</mi> <mi>max</mi> </msub> <mrow> <msub> <mi>&mu;</mi> <mi>r</mi> </msub> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> </mrow> </mfrac> <mrow> <mo>(</mo> <msub> <mi>L</mi> <mi>t</mi> </msub> <mo>-</mo> <mi>g</mi> <mo>)</mo> </mrow> <mo>+</mo> <mfrac> <msub> <mi>B</mi> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> </mfrac> <mi>g</mi> </mrow> </math>
wherein N is2The number of secondary side winding turns.
Solving by using an equivalent circuit of the current transformer, namely:
<math> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <msub> <mi>I</mi> <mrow> <mn>1</mn> <mo>_</mo> <mi>max</mi> </mrow> </msub> <mfrac> <mrow> <msup> <msub> <mi>Z</mi> <mn>2</mn> </msub> <mo>&prime;</mo> </msup> <mo>+</mo> <msup> <msub> <mi>Z</mi> <mi>L</mi> </msub> <mo>&prime;</mo> </msup> </mrow> <mrow> <msup> <msub> <mi>Z</mi> <mn>2</mn> </msub> <mo>&prime;</mo> </msup> <mo>+</mo> <msup> <msub> <mi>Z</mi> <mi>L</mi> </msub> <mo>&prime;</mo> </msup> <mo>+</mo> <msub> <mi>Z</mi> <mi>m</mi> </msub> </mrow> </mfrac> <mo>=</mo> <mfrac> <msub> <mi>B</mi> <mi>max</mi> </msub> <mrow> <msub> <mi>&mu;</mi> <mi>r</mi> </msub> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> </mrow> </mfrac> <mrow> <mo>(</mo> <msub> <mi>L</mi> <mi>t</mi> </msub> <mo>-</mo> <mi>g</mi> <mo>)</mo> </mrow> <mo>+</mo> <mfrac> <msub> <mi>B</mi> <mi>max</mi> </msub> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> </mfrac> <mi>g</mi> </mrow> </math>
wherein Z ismIn order to be the excitation impedance,will ZmSubstituting the expression of (c) into the above equation, the air gap length g is:
<math> <mrow> <mi>g</mi> <mo>=</mo> <mfrac> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <msub> <mi>I</mi> <mrow> <mn>1</mn> <mo>_</mo> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> </mrow> <msub> <mi>B</mi> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> </mfrac> <mo>&CenterDot;</mo> <mfrac> <mrow> <msub> <mi>&mu;</mi> <mi>r</mi> </msub> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> </mrow> <mrow> <mo>(</mo> <msub> <mi>&mu;</mi> <mi>r</mi> </msub> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mfrac> <mo>-</mo> <mfrac> <mrow> <msup> <msub> <mi>&omega;SN</mi> <mn>1</mn> </msub> <mn>2</mn> </msup> </mrow> <mrow> <msup> <msub> <mi>Z</mi> <mn>2</mn> </msub> <mo>&prime;</mo> </msup> <mo>+</mo> <msup> <msub> <mi>Z</mi> <mi>L</mi> </msub> <mo>&prime;</mo> </msup> </mrow> </mfrac> <mo>&CenterDot;</mo> <mfrac> <mrow> <msub> <mi>&mu;</mi> <mi>r</mi> </msub> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> </mrow> <mrow> <mo>(</mo> <msub> <mi>&mu;</mi> <mi>r</mi> </msub> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mfrac> <mo>-</mo> <mfrac> <msub> <mi>L</mi> <mi>t</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>&mu;</mi> <mi>r</mi> </msub> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mfrac> </mrow> </math>
wherein N is1The number of primary side winding turns; mu.s0Air permeability; omega is the angular frequency of the current; s is the sectional area of the iron core of the current transformer; z2The value of converting the internal impedance of the secondary side winding to the primary side; zL' is the value of the secondary side load impedance converted to the primary side.
When the primary side current range is 0-I1_maxError of current transformer in this state when air gap length is gComprises the following steps:
<math> <mrow> <mover> <mi>&epsiv;</mi> <mo>&CenterDot;</mo> </mover> <mo>=</mo> <mfrac> <mrow> <mo>(</mo> <msub> <mi>N</mi> <mn>1</mn> </msub> <mo>/</mo> <msub> <mi>N</mi> <mn>2</mn> </msub> <mo>)</mo> <msub> <mover> <mi>i</mi> <mo>&CenterDot;</mo> </mover> <mn>2</mn> </msub> <mo>-</mo> <msub> <mover> <mi>i</mi> <mo>&CenterDot;</mo> </mover> <mn>1</mn> </msub> </mrow> <msub> <mover> <mi>i</mi> <mo>&CenterDot;</mo> </mover> <mn>1</mn> </msub> </mfrac> <mo>=</mo> <mo>-</mo> <mfrac> <mrow> <msup> <msub> <mi>Z</mi> <mn>2</mn> </msub> <mo>&prime;</mo> </msup> <mo>+</mo> <msup> <msub> <mi>Z</mi> <mi>L</mi> </msub> <mo>&prime;</mo> </msup> </mrow> <mrow> <msup> <msub> <mi>Z</mi> <mn>2</mn> </msub> <mo>&prime;</mo> </msup> <mo>+</mo> <msup> <msub> <mi>Z</mi> <mi>L</mi> </msub> <mo>&prime;</mo> </msup> <mo>+</mo> <msub> <mi>Z</mi> <mi>m</mi> </msub> </mrow> </mfrac> <mo>=</mo> <mfrac> <mrow> <msub> <mi>&omega;SN</mi> <mn>1</mn> </msub> <msub> <mi>B</mi> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> </mrow> <mrow> <msub> <mi>I</mi> <mrow> <mn>1</mn> <mo>_</mo> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <mrow> <mo>(</mo> <msup> <msub> <mi>Z</mi> <mn>2</mn> </msub> <mo>&prime;</mo> </msup> <mo>-</mo> <msup> <msub> <mi>Z</mi> <mi>L</mi> </msub> <mo>&prime;</mo> </msup> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>-</mo> <mn>1</mn> </mrow> </math>
wherein,the corresponding range of the primary side actual current value at any time is 0 to I1_MaxThe current values are measured for the corresponding secondary side.
Preferably, the movable iron core 4 comprises at least 1 movable iron core unit, and the movable iron core unit is drawn away from the transformer to form an air gap.
Preferably, the relationship between the number of the movable iron core units and the number of the measuring ranges of the current transformer is as follows:
j=i-1
wherein i is the number of the measuring ranges of the mutual inductor, and j is the number of the movable iron core units.
The specific embodiment is as follows:
in order to verify the effect of the wide-range current transformer and the air gap length calculation method provided by the invention, a finite element method is utilized to model and simulate a current transformer with an air gap-free iron core structure and the current transformer with a certain air gap iron core structure provided by the invention, wherein the air gap length obtained by drawing the current transformer with the air gap iron core structure away from a movable iron core unit is 5mm, and the comparison result is shown in figure 2.
The present invention has been disclosed in terms of the preferred embodiment, but is not intended to be limited to the embodiment, and all technical solutions obtained by substituting or converting equivalents thereof fall within the scope of the present invention.

Claims (9)

1. The wide-range current transformer is characterized in that: the transformer comprises a primary winding, a secondary winding and an iron core, wherein the iron core is composed of a fixed iron core and a movable iron core, and the movable iron core is pulled away from the transformer to form an air gap.
2. The wide-range current transformer of claim 1, wherein: the movable iron core comprises at least 1 movable iron core unit, and the movable iron core unit is pulled away from the mutual inductor to form an air gap.
3. The wide-range current transformer of claim 2, wherein: the number of the movable iron core units is the number of the current transformer ranges minus 1, wherein the number of the current transformer ranges is at least 2.
4. A method for calculating the air gap length of a wide-range current transformer is characterized by comprising the following steps: the method comprises the following steps:
step one, according to the perimeter L of the iron coretCalculating the length g of the air gap and the length L of the fixed iron corefAnd the length L of the movable coreaThe relationship is as follows:
Lt=Lf+La+g=πD
wherein D is the diameter of the iron core;
step two, the primary current range of the current transformer is 0-I1_maxThe maximum magnetic flux density allowed by the iron core material in the unsaturated region is BmaxAnd is from 0 to BmaxWithin the range, the relative permeability of the iron core is murThe air gap length g is then:
<math> <mrow> <mi>g</mi> <mo>=</mo> <mfrac> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <msub> <mi>I</mi> <mrow> <mn>1</mn> <mo>_</mo> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> </mrow> <msub> <mi>B</mi> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> </mfrac> <mo>&CenterDot;</mo> <mfrac> <mrow> <msub> <mi>&mu;</mi> <mi>r</mi> </msub> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> </mrow> <mrow> <mo>(</mo> <msub> <mi>&mu;</mi> <mi>r</mi> </msub> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mfrac> <mo>-</mo> <mfrac> <mrow> <msup> <msub> <mi>&omega;SN</mi> <mn>1</mn> </msub> <mn>2</mn> </msup> </mrow> <mrow> <msup> <msub> <mi>Z</mi> <mn>2</mn> </msub> <mo>&prime;</mo> </msup> <mo>+</mo> <msup> <msub> <mi>Z</mi> <mi>L</mi> </msub> <mo>&prime;</mo> </msup> </mrow> </mfrac> <mo>&CenterDot;</mo> <mfrac> <mrow> <msub> <mi>&mu;</mi> <mi>r</mi> </msub> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> </mrow> <mrow> <mo>(</mo> <msub> <mi>&mu;</mi> <mi>r</mi> </msub> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mfrac> <mo>-</mo> <mfrac> <msub> <mi>L</mi> <mi>t</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>&mu;</mi> <mi>r</mi> </msub> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mfrac> </mrow> </math>
wherein N is1The number of primary side winding turns; mu.s0Air permeability; omega is the angular frequency of the current; s is the sectional area of the iron core of the current transformer; z2The value of converting the internal impedance of the secondary side winding to the primary side; zL' is the value of the secondary side load impedance converted to the primary side.
5. The wide-range current transformer air gap length calculation method of claim 4, wherein: the calculation process of the second step is specifically as follows:
the primary side current is in the range of 0 to I1_maxThe corresponding secondary side current range is 0-I2_maxFrom the conservation of magnetomotive force, the following formula is derived:
<math> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <msub> <mi>I</mi> <mrow> <mn>1</mn> <mo>_</mo> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>N</mi> <mn>2</mn> </msub> <msub> <mi>I</mi> <mrow> <mn>2</mn> <mo>_</mo> <mi>max</mi> </mrow> </msub> <mo>=</mo> <mfrac> <msub> <mi>B</mi> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <mrow> <msub> <mi>&mu;</mi> <mi>r</mi> </msub> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> </mrow> </mfrac> <mrow> <mo>(</mo> <msub> <mi>L</mi> <mi>t</mi> </msub> <mo>-</mo> <mi>g</mi> <mo>)</mo> </mrow> <mo>+</mo> <mfrac> <msub> <mi>B</mi> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> </mfrac> <mi>g</mi> </mrow> </math>
wherein N is2The number of turns of the secondary side winding is;
solving by using an equivalent circuit of the current transformer, namely:
<math> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <msub> <mi>I</mi> <mrow> <mn>1</mn> <mo>_</mo> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <mfrac> <mrow> <msup> <msub> <mi>Z</mi> <mn>2</mn> </msub> <mo>&prime;</mo> </msup> <mo>+</mo> <msup> <msub> <mi>Z</mi> <mi>L</mi> </msub> <mo>&prime;</mo> </msup> </mrow> <mrow> <msup> <msub> <mi>Z</mi> <mn>2</mn> </msub> <mo>&prime;</mo> </msup> <mo>+</mo> <msup> <msub> <mi>Z</mi> <mi>L</mi> </msub> <mo>&prime;</mo> </msup> <mo>+</mo> <msub> <mi>Z</mi> <mi>m</mi> </msub> </mrow> </mfrac> <mo>=</mo> <mfrac> <msub> <mi>B</mi> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <mrow> <msub> <mi>&mu;</mi> <mi>r</mi> </msub> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> </mrow> </mfrac> <mrow> <mo>(</mo> <msub> <mi>L</mi> <mi>t</mi> </msub> <mo>-</mo> <mi>g</mi> <mo>)</mo> </mrow> <mo>+</mo> <mfrac> <msub> <mi>B</mi> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> </mfrac> <mi>g</mi> </mrow> </math>
wherein Z ismIn order to be the excitation impedance,will ZmSubstituting the expression of (a) into the above equation yields:
<math> <mrow> <mi>g</mi> <mo>=</mo> <mfrac> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <msub> <mi>I</mi> <mrow> <mn>1</mn> <mo>_</mo> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> </mrow> <msub> <mi>B</mi> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> </mfrac> <mo>&CenterDot;</mo> <mfrac> <mrow> <msub> <mi>&mu;</mi> <mi>r</mi> </msub> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> </mrow> <mrow> <mo>(</mo> <msub> <mi>&mu;</mi> <mi>r</mi> </msub> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mfrac> <mo>-</mo> <mfrac> <mrow> <msup> <msub> <mi>&omega;SN</mi> <mn>1</mn> </msub> <mn>2</mn> </msup> </mrow> <mrow> <msup> <msub> <mi>Z</mi> <mn>2</mn> </msub> <mo>&prime;</mo> </msup> <mo>+</mo> <msup> <msub> <mi>Z</mi> <mi>L</mi> </msub> <mo>&prime;</mo> </msup> </mrow> </mfrac> <mo>&CenterDot;</mo> <mfrac> <mrow> <msub> <mi>&mu;</mi> <mi>r</mi> </msub> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> </mrow> <mrow> <mo>(</mo> <msub> <mi>&mu;</mi> <mi>r</mi> </msub> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mfrac> <mo>-</mo> <mfrac> <msub> <mi>L</mi> <mi>t</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>&mu;</mi> <mi>r</mi> </msub> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mfrac> <mo>.</mo> </mrow> </math>
6. the wide-range current transformer air gap length calculation method of claim 4, wherein: the calculation method further includes an error calculation process.
7. The wide-range current transformer air gap length calculation method of claim 6, wherein: the error calculation process is that the primary side current range is 0-I1_maxError of current transformer in this state when air gap length is gComprises the following steps:
<math> <mrow> <mover> <mi>&epsiv;</mi> <mo>&CenterDot;</mo> </mover> <mo>=</mo> <mfrac> <mrow> <mo>(</mo> <msub> <mi>N</mi> <mn>1</mn> </msub> <mo>/</mo> <msub> <mi>N</mi> <mn>2</mn> </msub> <mo>)</mo> <msub> <mover> <mi>i</mi> <mo>&CenterDot;</mo> </mover> <mn>2</mn> </msub> <mo>-</mo> <msub> <mover> <mi>i</mi> <mo>&CenterDot;</mo> </mover> <mn>1</mn> </msub> </mrow> <msub> <mover> <mi>i</mi> <mo>&CenterDot;</mo> </mover> <mn>1</mn> </msub> </mfrac> <mo>=</mo> <mo>-</mo> <mfrac> <mrow> <msup> <msub> <mi>Z</mi> <mn>2</mn> </msub> <mo>&prime;</mo> </msup> <mo>+</mo> <msup> <msub> <mi>Z</mi> <mi>L</mi> </msub> <mo>&prime;</mo> </msup> </mrow> <mrow> <msup> <msub> <mi>Z</mi> <mn>2</mn> </msub> <mo>&prime;</mo> </msup> <mo>+</mo> <msup> <msub> <mi>Z</mi> <mi>L</mi> </msub> <mo>&prime;</mo> </msup> <mo>+</mo> <msub> <mi>Z</mi> <mi>m</mi> </msub> </mrow> </mfrac> <mo>=</mo> <mfrac> <mrow> <msub> <mi>&omega;SN</mi> <mn>1</mn> </msub> <msub> <mi>B</mi> <mi>max</mi> </msub> </mrow> <mrow> <msub> <mi>I</mi> <mrow> <mn>1</mn> <mo>_</mo> <mi>max</mi> </mrow> </msub> <mrow> <mo>(</mo> <msup> <msub> <mi>Z</mi> <mn>2</mn> </msub> <mo>&prime;</mo> </msup> <mo>+</mo> <msup> <msub> <mi>Z</mi> <mi>L</mi> </msub> <mo>&prime;</mo> </msup> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>-</mo> <mn>1</mn> </mrow> </math>
wherein,the corresponding range of the primary side actual current value at any time is 0 to I1_MaxThe current values are measured for the corresponding secondary side.
8. The wide-range current transformer air gap length calculation method according to any one of claims 4 to 7, wherein: the movable iron core comprises at least 1 movable iron core unit, and the movable iron core unit is pulled away from the mutual inductor to form an air gap.
9. The wide-range current transformer air gap length calculation method of claim 8, wherein: the number of the movable iron core units is the number of the current transformer ranges minus 1, wherein the number of the current transformer ranges is at least 2.
CN201510624166.5A 2015-09-25 2015-09-25 Wide-range current transformer and gas gap length calculation method Pending CN105161258A (en)

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CN106910596A (en) * 2017-02-28 2017-06-30 南通壹选工业设计有限公司 One kind prevents oversaturated current transformer
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CN111880138A (en) * 2020-08-19 2020-11-03 国网福建省电力有限公司 Zero-sequence current transformer measurement accuracy optimization method based on ferromagnetic characteristics
CN111880138B (en) * 2020-08-19 2022-11-08 国网福建省电力有限公司 Zero-sequence current transformer measurement accuracy optimization method based on ferromagnetic characteristics
CN116027245A (en) * 2023-02-01 2023-04-28 广州市德珑电子器件有限公司 Measuring method and system based on wide-range current transformer

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