A Calculation Method for the Parasitic Capacitance of the Windings of an Electromagnetic Conversion Equipment

Abstract

The present invention discloses a method for calculating the parasitic capacitance of a winding of an electromagnetic conversion device, and the steps are as follows: S1, establish an analytical model of the parasitic capacitance of a multi-layer winding considering the inter-turn distance; S2, define the winding disorder degree, obtain the possible distribution positions of each turn of the coil in the winding, and deduce the analytical expressions of the inter-turn capacitance and the inter-layer capacitance related to the winding disorder degree; S3, according to the analytical model of the parasitic capacitance of the multi-layer winding, obtain the calculation formula of the total parasitic capacitance of the winding; S4, and obtain the probability model of the winding coil distribution according to the possible distribution positions of each turn of the coil, and then calculate the parasitic capacitance values of all possible distributions of the winding; S5, according to the calculation results of the parasitic capacitance of the winding, draw a probability histogram of the parasitic capacitance value distributions of all possible distributions of the winding when the winding disorder degree is D to predict the total parasitic capacitance value of the winding. The present invention is applicable to the calculation of the parasitic capacitance of electromagnetic conversion devices with various enameled wire shapes, and the calculation results are closer to the actual values.

Description

Technical Field

[0001] The present invention relates to the technical field of electromagnetic conversion equipment modeling, and particularly relates to a method for calculating the parasitic capacitance of a winding of an electromagnetic conversion equipment. Background Art

[0002] With the increase in the operating frequency of wide-bandgap power devices, the parasitic parameters of the circuit system at high switching speeds will cause oscillations in the voltage and current waveforms, increase the losses in the switching process, and limit the increase in the operating frequency of the circuit system. One of the main reasons for the above problems is the parasitic capacitance of the circuit. For electromagnetic conversion equipment such as inductors, transformers, and motors, the presence of parasitic capacitance will significantly change its impedance in the high-frequency range. The influence brought by the parasitic capacitance generated by the motor winding as a load in the circuit loop is more obvious. The parasitic capacitance of the winding is mainly generated by the following two reasons: the insulating medium between the windings and the dielectric between the winding and the surrounding environment. Therefore, there is a certain capacitance between the windings and between the winding and the external environment in equipment such as motors, transformers, and inductors.

[0003] The traditional calculation of parasitic capacitance defaults that the coil distribution of the winding is an ideal distribution, believing that the distance between each turn of the coil is equal and evenly distributed. In the actual winding process, due to the existence of spindle errors, neither manual winding nor machine winding can ensure that the winding is evenly distributed.

[0004] Currently, for the calculation method of the parasitic capacitance of the coil winding, an ideal distribution model is used for calculation. The calculated parasitic capacitance value often has a large error from the actual measured value. Summary of the Invention

[0005] Object of the Invention: The object of the present invention is to provide a method for calculating the parasitic capacitance of a winding of an electromagnetic conversion equipment. According to the actual situation of the coil distribution, a probability model of unevenly distributed winding coils is adopted to make the calculation result closer to the actual value.

[0006] Technical Solution: A method for calculating the parasitic capacitance of a winding of an electromagnetic conversion equipment includes the following steps:

[0007] S1, establish an analytical model of the parasitic capacitance of a multi-layer winding considering the inter-turn distance, and divide the distributed capacitance into inter-turn capacitance and inter-layer capacitance;

[0008] S2, define the winding disorder degree, obtain the possible distribution positions of each turn of the coil in the winding, and derive the analytical expressions of the inter-turn capacitance and inter-layer capacitance related to the winding disorder degree;

[0009] S3, according to the analytical model of the parasitic capacitance of the multi-layer winding, obtain the calculation formula for the total parasitic capacitance of the winding;

[0010] S4, and obtain the probability model of the winding coil distribution according to the possible distribution positions of each turn of the coil; calculate the parasitic capacitance values of all possible winding distributions according to the probability model of the winding coil distribution;

[0011] S5, according to the calculation result of the winding parasitic capacitance, draw a probability histogram of the parasitic capacitance values of all possible winding distributions when the winding disorder degree is D, and the value with the highest occurrence probability is the predicted value of the total parasitic capacitance of the winding.

[0012] Furthermore, the capacitance formed between adjacent conductor turns in the same layer is the inter-turn capacitance; the capacitance formed between adjacent conductor turns with the same position in each layer is the inter-layer capacitance.

[0013] Furthermore, in step S2, when the cross-section of the winding wire is circular, the inter-turn capacitance C of the i-th layer winding tti The expression is:

[0014]

[0015] In the formula, ε r is the relative dielectric constant of the wire insulation layer, ε0 is the vacuum dielectric constant, d tt is the inter-turn distance between adjacent turns of the conductor, D c is the diameter of the copper core inside the wire, D o is the outer diameter of the wire; θ is the integration angle, and the integration angle is from θ1 to θ2; l ti is the perimeter of the i-th layer winding;

[0016] When the cross-section of the winding wire is rectangular, the inter-turn capacitance C' of the i-th layer winding tti The expression is:

[0017]

[0018] Among them, d is the width of the copper core inside the wire, D' is the width of the outer layer of the wire, d tt is the inter-turn distance of the wire; h is the width of the wire insulation layer.

[0019] Furthermore, the winding disorder degree is the maximum distance between the center of the k-th turn of the coil and the center of the k + 1-th turn of the coil, denoted as D. The distance between the center of the k-th turn of the coil and the center of the k + 1-th turn of the coil is any value between 2r and D. Among them, r is the radius of the round wire or half of the width of the flat wire; assuming that the error is uniformly distributed, the probability that the k + 1-th turn of the coil appears at all positions in the (2r, D) interval is equal;

[0020] If the first turn of the winding is placed at a specified position, then there are m2 positions for the second turn within D, and there are m k positions for the k-th turn; assuming the number of possible positions for the next turn within D is m i, then all the distribution cases of the n-turn winding are m i n .

[0021] Further, in step S4, the implementation steps for calculating the parasitic capacitance values of all possible distributions of the winding are as follows:

[0022] S41, Place the first turn at the specified position, set the number m i of possible positions for the next turn, and perform the same operation on other turns to obtain a distribution of the winding;

[0023] S42, According to the distribution of the winding, determine the adjacent mode and the corresponding integral angle between adjacent turns;

[0024] S43, When the degree of disorder is D, calculate the parasitic capacitance values of all possible distributions of the same winding according to the energy method;

[0025] S44, Repeat steps S41 to S43 to obtain the parasitic capacitance values in all distribution cases of the winding.

[0026] Compared with the prior art, the present invention has the following remarkable effects:

[0027] 1. The non-uniform winding coil distribution model proposed by the present invention is applicable to the calculation of the parasitic capacitance of electromagnetic conversion equipment with various enameled wire shapes (round wire, flat wire or square wire, etc.);

[0028] 2. The present invention proposes a method to reduce the sample quantity of non-uniform distribution cases. By restricting the possible positions of the coil distribution, the sample quantity of all non-uniform distribution cases is reduced, and the accuracy of this method is proved by using the K-S test, reducing the calculation amount of the non-uniform distribution cases of the winding;

[0029] 3. According to the actual situation of the coil distribution, the present invention proposes a probability model for the non-uniform distribution winding coil distribution, making the calculation result closer to the actual value, which is more meaningful for the actual application of electromagnetic conversion equipment in engineering. Description of the Drawings

[0030] Figure 1 is the overall flow chart of the present invention;

[0031] Figure 2 is the cross-sectional schematic diagram of the round wire multi-layer winding under the ideal distribution;

[0032] Figure 3 is the cross-sectional schematic diagram of the flat wire multi-layer winding under the ideal distribution;

[0033] Figure 4 is the schematic diagram of the round wire turn-to-turn capacitance analysis model;

[0034] Figure 5It is a differential schematic diagram of the analytical model of the inter-turn capacitance of round wires;

[0035] Figure 6 It is a schematic diagram of the adjacent mode of the arrangement of round wire turns. Among them, (a), (b), and (c) are the adjacent modes when the winding coils are closely arranged, and (d), (e), and (f) are the adjacent modes when there are distances between the winding coils;

[0036] Figure 7 It is a schematic diagram of the analytical model of the inter-turn capacitance of flat wires;

[0037] Figure 8 It is a schematic diagram of the uneven distribution of windings;

[0038] Figure 9 It is a schematic diagram of the ideal uniform distribution of round wires;

[0039] Figure 10 It is a schematic diagram of the ideal uniform distribution of flat wires;

[0040] Figure 11 It is a schematic diagram of the definition of the disorder degree of round wires;

[0041] Figure 12 It is a schematic diagram of the definition of the disorder degree of flat wires;

[0042] Figure 13 It is a schematic diagram of the winding distribution when the disorder degree takes different values;

[0043] Figure 14 It is a schematic diagram of the possible positions of the unevenly distributed windings of round wires;

[0044] Figure 15 It is a schematic diagram of the possible positions of the unevenly distributed windings of flat wires;

[0045] Figure 16 It is a probability distribution histogram of the parasitic capacitance values of large and small samples;

[0046] Figure 17 It is a probability distribution histogram of the parasitic capacitance values of all the distributions of the windings. Specific embodiments

[0047] The present invention will be further described in detail below in conjunction with the accompanying drawings of the specification and specific embodiments.

[0048] The present invention provides a method for calculating the parasitic capacitance of the windings of an electromagnetic conversion device considering the influence of the uneven arrangement of coils. The flowchart is as Figure 1 shown, and it includes the following steps:

[0049] Step 1, establish an analytical model of the parasitic capacitance of multi-layer windings considering the inter-turn distance;

[0050] As Figure 2As shown, it is a schematic cross-sectional view of a round wire multi-layer winding under ideal distribution.

[0051] As Figure 3 shown is a schematic cross-sectional view of a flat wire multi-layer winding under ideal distribution; the distributed capacitance is divided into two categories: inter-turn capacitance and inter-layer capacitance. Among them, the capacitance formed between adjacent conductors in the same layer is the inter-turn capacitance, and the capacitance formed between adjacent conductors with the same position in each layer is the inter-layer capacitance; the iron core and the enameled wire are isolated by insulating paper.

[0052] Step 2: According to the parasitic capacitance analysis model of the multi-layer winding, derive the analytical expressions of the inter-turn capacitance and the inter-layer capacitance, and obtain the calculation formula for the total parasitic capacitance of the winding;

[0053] As Figure 4 shown, it is a schematic diagram of the inter-turn capacitance analysis model of round wire; among them, the inter-turn capacitance C tt consists of an air-gap capacitance C ttg and two insulation layer capacitances C ttc ; D c is the diameter of the copper core inside the wire, D o is the outer diameter of the wire, and θ is the integration angle. Use the analytical method to derive the inter-turn parasitic capacitance C tt .

[0054] As Figure 5 shown, since the cross-section of the winding wire is circular, the capacitance solution path changes with the change of θ. Taking θ as the unit, solve the inter-turn capacitance through calculus. The differential of the conductor circular path, and r is the radius of the conductor circular path. The differential expression of the air-gap part capacitance C ttg is:

[0055]

[0056] In the formula, ε0 is the vacuum permittivity, l t is the circumference of the conductor circular path, D o is the outer diameter of the wire; x(θ) is the air-gap path length;

[0057] The air-gap path length x(θ) is:

[0058] x(θ) = D o (1 - cosθ) + d tt (2)

[0059] In the formula, D o is the outer diameter of the wire, d tt is the inter-turn distance;

[0060] The differential expression of the insulation layer capacitance C ttc is:

[0061]

[0062] In the formula, ε r is the relative permittivity of the wire insulation layer, ε0 is the permittivity of free space, l t is the perimeter of the conductor circular path, D o is the outer diameter of the wire, D c is the diameter of the copper core inside the wire;

[0063] Therefore, the differential equivalent inter-turn capacitance is obtained:

[0064]

[0065] Integrating Equation (4) gives the inter-turn capacitance C tt , with the integration angle ranging from θ1 to θ2.

[0066] Therefore, considering the i-th layer winding with d tt the inter-turn capacitance C tti is:

[0067]

[0068] In the formula, ε r is the relative permittivity of the wire insulation layer, ε0 is the permittivity of free space, d tt is the inter-turn distance between adjacent turns of the conductor, the wire D c is the diameter of the copper core inside the wire, D o is the outer diameter of the wire, θ is the integration angle, and l ti is the perimeter of the i-th layer winding.

[0069] For the calculation of the inter-layer capacitance considering the inter-layer distance, the structure of C ll is the same as that of C tt , so its calculation formula is the same as that of the inter-turn capacitance C tt . It can be seen from the calculation formula that the calculated value of the capacitance is related to the value of the integration angle θ, and the integration angle is related to the distribution of the round wire winding coil.

[0070] As Figure 6 shown, it is a schematic diagram of the adjacent mode of round wire inter-turn arrangement; there are six adjacent modes of inter-turn arrangement, as Figure 6 shown in (a)-(f) in it. The variable of the six modes is the value of the integration angle θ. It can be found that when the distance d changes, it is equivalent to changing the values of θ1 and θ2 in Equation (5). Therefore, when calculating the total parasitic capacitance of the winding, only the integration angle of the adjacent windings needs to be considered.

[0071] As Figure 7 shown, it is a schematic diagram of the analytical model of the inter-turn capacitance of flat wire (i.e., the cross-section of the wire is rectangular); among them, the inter-turn capacitance C′ tt consists of an air-gap capacitance C′ ttgand two insulating layer capacitors C′ ttc It consists of; d is the width of the copper core inside the wire, D′ is the width of the outer layer of the wire, and the inter-turn parasitic capacitance C is derived using the analytical method tt , and the specific calculation process is as follows:

[0072] The expression for the capacitance C′ of the air gap part ttg is:

[0073]

[0074] In the formula, ε0 is the vacuum permittivity, l t is the perimeter of the conductor's circular path, D′ is the width of the outer layer of the wire, and d tt is the inter-turn distance of the wire;

[0075] The expression for the insulating layer capacitance C′ ttc is:

[0076]

[0077] In the formula, ε r is the relative permittivity of the wire's insulating layer, l t is the perimeter of the conductor's circular path, d is the width of the copper core inside the wire, and h is the width of the wire's insulating layer;

[0078] Therefore, the expression for the equivalent inter-turn capacitance is obtained:

[0079]

[0080] Considering the calculation of the inter-layer capacitance with the inter-layer distance, the structure of C ll is the same as that of C tt , so its calculation formula is the same as that of the inter-turn capacitance C tt .

[0081] The total parasitic capacitance value C of the winding p can be obtained by the node voltage method or the energy method. Taking the energy method as an example, the energy method assumes that the voltage of the winding coil increases linearly from the first turn to the last turn. The voltage difference between adjacent turns is assumed to be constant within a specific turn. Assuming a voltage V is applied across the two terminals of the winding, the expressions for the voltage V(k) of the k-th turn and the total electrical energy E stored between turns are as follows:

[0082]

[0083] C ij is calculated from the inter-turn capacitance and the inter-layer capacitance.

[0084] Then the calculation formula for the total parasitic capacitance value C of the winding p is:

[0085]

[0086] Among them, i and j are the turn numbers, i is the previous turn, and j is the next turn; V ij represents the voltage between the i-th turn and the j-th turn; n is the total number of turns of the winding.

[0087] Step 3: Define the winding disorder, obtain the possible distribution positions of each turn of the coil in the winding, and obtain the probability model of the winding coil distribution based on the possible distribution positions of each turn of the coil;

[0088] The ideal situation of the winding arrangement is that the (k + 1)-th turn and the k-th turn are closely arranged. If r is defined as the outer radius of the wire cross-section, the distance between the center of the k-th turn coil and the center of the (k + 1)-th turn coil is exactly 2r, and the coil at this time is the ideal distribution.

[0089] In actual situations, the positional deviation between the actual rotation axis of the winding spindle and its ideal rotation axis results in the uneven distribution of the winding coils.

[0090] As Figure 8 shown, it is a schematic diagram of the uneven distribution of the winding; due to the unequal inter-turn distances, each turn of the coil is not evenly distributed; it is usually caused by the winding operator or the winding spindle error of the winding machine. The winding spindle error mainly refers to the spindle rotation error, which is the positional deviation between the actual rotation axis of the spindle and its ideal rotation axis.

[0091] As Figure 9 shown, it is a schematic diagram of the ideal uniform distribution of round wires. The distance between the center of each turn of the coil and the center of the next turn of the coil is exactly 2r, and the coil at this time is the ideal uniform distribution; as Figure 10 shown is a schematic diagram of the ideal uniform distribution of flat wires.

[0092] As Figure 11 shown, it is a schematic diagram of the definition of the disorder of round wires. Among them, the disorder is the maximum distance between the center of the k-th turn coil and the center of the (k + 1)-th turn coil, denoted as D1. The distance between the center of the k-th turn coil and the center of the (k + 1)-th turn coil can be any value between 2r and D1. If it is assumed that the error is uniformly distributed, the probability that the (k + 1)-th turn coil appears at all positions in the interval (2r, D1) is equal. By defining the winding disorder, the arrangement method of the uneven winding can be determined, that is, each turn is evenly placed within the distance (2r, D1) from the previous turn.

[0093] As Figure 12The figure shows a schematic diagram of the definition of the randomness of flat wires; among them, the randomness is the maximum distance between the center of the kth turn of the coil and the center of the (k + 1)th turn of the coil, denoted as D2. The distance between the center of the kth turn of the coil and the center of the (k + 1)th turn of the coil can be any value between 2r and D2. If it is assumed that the error is uniformly distributed, then the probability that the (k + 1)th turn of the coil appears at all positions within the interval (2r, D) is equal. By defining the winding randomness D2, the arrangement of the non-uniform winding can be determined, that is, it is evenly placed within the distance (2r, D2) between each turn and the previous turn.

[0094] As Figure 13 shown, it is a schematic diagram of the winding distribution when the winding randomness takes different values; when the value of the winding randomness D is different, the non-uniformity of the winding is also different. The larger the value of D, the more obvious the non-uniform distribution of the winding; if the first turn of the winding is placed at a specified position, then there are m2 positions for the second turn within D, and there are m k positions for the kth turn. All existing winding distribution cases are equal to the product of the number of possible positions m i of the next turn within D, and the number of winding distributions increases with the increase of the number of turns n and the possible positions m i ; actually, the value of the possible position m i of the next turn can be arbitrary, so the number of all winding distributions approaches infinity.

[0095] As Figure 14 shown, it is a schematic diagram of the possible positions of the non-uniformly distributed winding of round wires; among them, the number of possible positions m i of the next turn = 3, so the number of all distribution cases of the n-turn winding is 3 n species. By restricting the possible position m i of the next turn to a specific value, the number of all winding distributions is reduced in this way, and the purpose is to reduce the number of arrangements with similar distributions to the original distribution.

[0096] As Figure 15 shown, it is a schematic diagram of the possible positions of the non-uniformly distributed winding of flat wires; the K-S theorem is used to test the feasibility of this method. This is a test method for checking whether the distribution of the original data sample is the same as the original data. It can be used to compare a sample with a specific probability distribution and can also determine the similarity of the distributions of two samples. The specific proof is as follows:

[0097] As Figure 16 shown, it is a probability distribution histogram of the parasitic capacitance values of large and small samples. Taking a 10-turn single-layer winding as an example, assuming that the position of the first turn is fixed, the number of possible positions m i of the next turn = 4, so there are a total of 4 9Take (as a large sample), plot the parasitic capacitance values calculated for all winding distributions as a histogram. Then plot the possible position m of the next turn i = 2, that is, there are 2 cases of winding distributions 9 (as a small sample), the histogram of the parasitic capacitance value distributions for all winding distribution cases. The K-S test shows that this sample and the smaller samples obtained by this method have similar distributions.

[0098] Step 4, according to the winding distribution probability model described in Step 3, calculate the parasitic capacitance values for all possible distributions of the windings;

[0099] According to the distribution of the windings, determine the adjacency mode between adjacent turns and the corresponding integration angle when calculating the distributed capacitance. Use the energy method to calculate the parasitic capacitance values for all possible distributions of the same winding when the winding disorder degree is D. The specific process is as follows:

[0100] First, place the first turn at the specified position. Set the number m of possible positions for the next turn i value, and randomly select possible positions within the possible interval (2r, D1) shown in Figure 11 . Perform the same operation on other turns. Through the above steps, a winding distribution can be obtained; then calculate the parasitic capacitance of the winding distribution according to the energy method. Repeat the above process multiple times to obtain the parasitic capacitance values for all distribution cases in the winding.

[0101] Step 5, according to the parasitic capacitance calculation results, plot the probability histogram of the parasitic capacitance values for all possible distributions of the windings when the winding disorder degree is D, and the value with the highest occurrence probability is the predicted value of the total parasitic capacitance of the winding;

[0102] According to the calculation results, plot the probability histogram of the parasitic capacitance values for all possible distribution cases of the windings when the winding disorder degree is D. In this parasitic capacitance value probability histogram, a larger number belongs to the values with high probability, and the parasitic capacitance value in the winding can be predicted during the design process.

[0103] Take the toroidal exciting winding with 150 turns as an example. Its winding disorder degree is D = 3r, and the enameled wire is round wire;

[0104] Specify the number m of possible positions for the next turn i = 3, then there are 3 cases of all winding distributions 150 in total.

[0105] Determine the distribution of the winding through simulation. Place the first turn at the specified position. For the next turn, randomly select a possible position within the possible range (2r, D). Perform the same operation for other turns. A winding distribution can be obtained through the above steps. Calculate the parasitic capacitance of the winding distribution obtained by the energy method. Repeat the above process multiple times to obtain the parasitic capacitance values for all distribution cases in the winding.

[0106] Plot the parasitic capacitance values for all obtained distribution cases as a histogram, as Figure 17 shown. In this figure, the value with the highest occurrence probability is the predicted value of the parasitic capacitance of the winding. Therefore, the parasitic capacitance of this winding is 106 pF.

[0107] In this embodiment, for a toroidal winding with 150 turns, the winding disorder degree is D = 3r, and its predicted value is 106 pF. The parasitic capacitance value measured by an impedance analyzer at the first resonant frequency is 107.23 pF. The predicted value is very close to the measured value.

Claims

1. A calculation method for the parasitic capacitance of a winding of an electromagnetic conversion equipment, characterized in that It includes the following steps: S1. Establish an analytical model of the parasitic capacitance of a multi-layer winding considering the inter-turn distance, and divide the distributed capacitance into inter-turn capacitance and inter-layer capacitance; S2. Define the winding disorder degree, obtain the possible distribution positions of each turn of the coil in the winding, and deduce the analytical expressions of the inter-turn capacitance and inter-layer capacitance related to the winding disorder degree; S3. According to the analytical model of the parasitic capacitance of the multi-layer winding, obtain the calculation formula of the total parasitic capacitance of the winding; S4. And obtain the probability model of the winding coil distribution according to the possible distribution positions of each turn of the coil; according to the probability model of the winding coil distribution, calculate the parasitic capacitance values of all possible distributions of the winding; S5. According to the calculation results of the winding parasitic capacitance, draw a histogram of the distribution probability of the parasitic capacitance values of all possible distributions of the winding when the winding disorder degree is D, and the value with the highest occurrence probability is the predicted value of the total parasitic capacitance of the winding; In step S2, when the cross-section of the winding wire is circular, the inter-turn capacitance C of the i-th layer winding tti The expression is as follows: where ε r is the relative permittivity of the wire insulation layer, ε0 is the permittivity of free space, d tt is the inter-turn distance between adjacent turns of the conductor, D c is the diameter of the copper core inside the wire, D o is the outer diameter of the wire; θ is the integration angle, and the integration angle ranges from θ1 to θ2; l ti is the perimeter of the i-th layer winding; When the cross-section of the winding wire is rectangular, the inter-turn capacitance C′ of the i-th layer winding tti The expression is as follows: Among them, d is the width of the copper core inside the wire, D′ is the width of the outer layer of the wire, and d tt is the inter-turn distance of the wire; h is the width of the wire insulation layer; The winding disorder degree is the maximum distance between the center of the k-th turn of the coil and the center of the (k + 1)-th turn of the coil, denoted as D. The distance between the center of the k-th turn of the coil and the center of the (k + 1)-th turn of the coil is any value between 2r and D, where r is the radius of the round wire or half of the width of the rectangular wire; assuming that the error is uniformly distributed, the probability of the (k + 1)-th turn of the coil appearing at all positions in the interval (2r, D) is equal; If the first turn of the winding is placed at the specified position, then there are m2 positions for the second turn within D, and mk positions for the k-th turn; let the number of possible positions for the next turn within D be m k , then the total number of all distribution cases of the n-turn winding is m i , then the total number of all distribution cases of the n-turn winding is m i n .

2. The calculation method of the winding parasitic capacitance of the electromagnetic conversion equipment according to claim 1, characterized in that The capacitance formed between adjacent conductor turns in the same layer is the inter-turn capacitance; the capacitance formed between adjacent conductor turns with the same position in each layer is the inter-layer capacitance.

3. The calculation method of the parasitic capacitance of the electromagnetic conversion equipment winding according to claim 1, characterized in that, In step S4, the implementation steps for calculating the parasitic capacitance values of all possible distributions of the winding are as follows: S41, place the first turn at the specified position, set the number m i of possible positions for the next turn, and perform the same operation on other turns to obtain a winding distribution; S42. According to the distribution of the winding, determine the adjacent mode between adjacent turns and the corresponding integral angle; S43. When the disorder degree is D, calculate the parasitic capacitance values of all possible distributions that can occur in the same winding according to the energy method; S44. Repeat steps S41 to S43 to obtain the parasitic capacitance values in all distribution cases of the winding.

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