JP3218859B2 - Magnetic field analysis method - Google Patents
Magnetic field analysis methodInfo
- Publication number
- JP3218859B2 JP3218859B2 JP11488794A JP11488794A JP3218859B2 JP 3218859 B2 JP3218859 B2 JP 3218859B2 JP 11488794 A JP11488794 A JP 11488794A JP 11488794 A JP11488794 A JP 11488794A JP 3218859 B2 JP3218859 B2 JP 3218859B2
- Authority
- JP
- Japan
- Prior art keywords
- meshes
- magnetic field
- field analysis
- side mesh
- eddy current
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired - Lifetime
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Classifications
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02T—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
- Y02T10/00—Road transport of goods or passengers
- Y02T10/80—Technologies aiming to reduce greenhouse gasses emissions common to all road transportation technologies
- Y02T10/82—Elements for improving aerodynamics
Description
【０００１】[0001]
【産業上の利用分野】本発明は磁界解析の方法に係わ
り、特に、スキューの施された誘導電動機のように未知
数がｘ，ｙ，ｚの３方向に変化する解析対象を簡易的に
解く磁界解析の方法に関する。BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a magnetic field analysis method, and more particularly, to a magnetic field analysis method for easily solving an object to be analyzed whose unknowns change in three directions x, y, and z, such as a skewed induction motor. The method of analysis.
【０００２】[0002]
【従来の技術】従来の磁界解析の方法は、例えば「中田
著，電気工学の有限要素法(第２版)，１９８６年，森北
出版」などに述べられているように、未知数がｘ，ｙ，
ｚの３方向のうちｘ，ｙ方向には変化するがｚ方向には
一様であるような二次元場に対し、次のような基礎方程
式を数値的に解くことによって磁気ベクトルポテンシャ
ルＡと渦電流密度Ｊｅを未知数として計算する方法が採
られている。2. Description of the Related Art As described in, for example, "Nakada, Finite Element Method of Electrical Engineering (Second Edition), 1986, Morikita Shuppan", unknown values of x and y are used in a conventional magnetic field analysis method. ,
For a two-dimensional field that changes in the x and y directions but is uniform in the z direction among the three directions of z, the magnetic vector potential A and the vortex are obtained by numerically solving the following basic equation. A method of calculating the current density Je as an unknown is adopted.
【０００３】[0003]
【数１】 (Equation 1)
【０００４】（数１）におけるμは透磁率であり、渦電
流密度Ｊｅは導電率をσとすれば、次式のようになる。In equation (1), μ is the magnetic permeability, and the eddy current density Je is given by the following equation, where σ is the conductivity.
【０００５】[0005]
【数２】 (Equation 2)
【０００６】また、（数１）の磁気ベクトルポテンシャ
ルＡが解かれれば、ｘ方向の磁束密度Ｂｘとｙ方向の磁
束密度Ｂｙは、次式によって計算できる。If the magnetic vector potential A in (Equation 1) is solved, the magnetic flux density Bx in the x direction and the magnetic flux density By in the y direction can be calculated by the following equations.
【０００７】[0007]
【数３】 (Equation 3)
【０００８】[0008]
【数４】 (Equation 4)
【０００９】一般に、誘導電動機のように２次導体に流
れる電流と磁束が未知数である問題には、上記の方法が
適用され、内部の磁束分布の解析などに利用されてき
た。In general, the above method is applied to the problem that the current and the magnetic flux flowing through the secondary conductor are unknown numbers as in the case of an induction motor, and has been used for analyzing the internal magnetic flux distribution.
【００１０】[0010]
【発明が解決しようとする課題】上記従来技術では、未
知数がｘ，ｙ，ｚの３方向のうちｚ方向には一様でなけ
ればならないため、スキューが施されていない誘導電動
機を解析することはできたが、スキューが施されている
誘導電動機を解析することができないという問題があっ
た。In the above prior art, since the unknowns must be uniform in the z direction among the three directions x, y, and z, an analysis of an induction motor without skew is performed. However, there is a problem that the skewed induction motor cannot be analyzed.
【００１１】本発明は、上述の点に鑑みなされたもので
あり、スキューが施されて未知数がｚ方向に一様でなく
なるような解析対象を二次元場で簡易的に解析できる磁
界解析の方法を提供することを目的とする。SUMMARY OF THE INVENTION The present invention has been made in view of the above points, and has been made in view of the above-described circumstances. The purpose is to provide.
【００１２】[0012]
【課題を解決するための手段】少なくとも２つ以上のメ
ッシュを作成し、作成した該２つ以上のメッシュを用い
て少なくとも渦電流を未知数とした非定常磁界解析を行
い、該非定常磁界解析の結果として得られる渦電流の補
正計算を行い渦電流補正値を算出し、該渦電流補正値と
該２つ以上のメッシュを用いて静磁界解析を行うことに
よって所期の目的を達成するようにしたものである。Means for Solving the Problems At least two or more meshes are created, and an unsteady magnetic field analysis is performed using at least the created two or more meshes with at least an eddy current as an unknown number. The intended purpose is achieved by performing an eddy current correction calculation to obtain an eddy current correction value, and performing a static magnetic field analysis using the eddy current correction value and the two or more meshes. Things.
【００１３】[0013]
【作用】このような磁界解析によれば、二次元解析によ
ってスキューが施されている誘導電動機を簡易的に解析
することができ、三次元解析が不要になるため、僅かな
計算時間でスキューが施されている誘導電動機の解析が
実現できる。According to such a magnetic field analysis, an induction motor skewed by two-dimensional analysis can be easily analyzed, and three-dimensional analysis is not required. Analysis of the applied induction motor can be realized.
【００１４】[0014]
【実施例】以下、本発明の実施例を図面を用いて詳細に
説明する。Embodiments of the present invention will be described below in detail with reference to the drawings.
【００１５】図１に本発明の一実施例を示す磁界解析の
流れを示す。まず、解析全体の流れを説明する。なお、
以下の実施例で述べる磁界解析とは、有限要素法などの
ような解析対象のメッシュを準備し、磁界等を数値的に
解析する方法を指している。解析は、１で開始し、２で
解析に必要な情報を入力する。入力２では、少なくとも
解析時間ステップ数ｍ，解析時間ステップ刻みΔｔ，ス
キューピッチθ，メッシュ数ｎの情報を与えられなけれ
ばならない。３では時刻ｔを初期状態の０とする。入力
２で得た情報は４は時刻ｔの磁界解析を行い、５で計算
を終了した４の磁界解析のステップから磁界解析の全ス
テップの終了を判断する。全ステップが終了していない
場合は、６で時刻ｔをｔ＋Δｔに更新し、再び４で磁界
解析を行い、全ステップが終了するまでこの流れを繰り
返す。FIG. 1 shows a flow of a magnetic field analysis showing one embodiment of the present invention. First, the flow of the entire analysis will be described. In addition,
The magnetic field analysis described in the following embodiments refers to a method of preparing an analysis target mesh such as a finite element method and numerically analyzing a magnetic field and the like. The analysis starts at 1 and inputs necessary information for the analysis at 2. The input 2 must provide at least information on the number m of analysis time steps, the step Δt of analysis time steps, the skew pitch θ, and the number n of meshes. At 3, the time t is set to 0 in the initial state. The information 4 obtained by the input 2 performs the magnetic field analysis at the time t, and determines the end of all the steps of the magnetic field analysis from the magnetic field analysis step of 4 where the calculation is completed in 5. If all the steps have not been completed, the time t is updated to t + Δt at 6, the magnetic field analysis is performed again at 4, and this flow is repeated until all the steps are completed.
【００１６】次いで、時刻ｔの磁界解析４の内部につい
て詳細に説明する。Next, the inside of the magnetic field analysis 4 at time t will be described in detail.
【００１７】時刻ｔの磁界解析４は、内部で複数個のメ
ッシュとメッシュの数と同じだけの磁界解析を行う。ま
ず、入力２で入力したメッシュ数ｎとスキューピッチθ
を参照し、ｎ個の異なるメッシュを生成する。これらを
＃１メッシュ，＃２メッシュ，……，＃ｎメッシュと呼
ぶことにすれば、これらのメッシュは、１１ａ，11ｂ，
……，１１ｃでそれぞれ作成する。これらの＃１，＃
２，……，＃ｎメッシュの例として、ｎ＝４とした場合
を図２に示した。図２の＃１〜＃４メッシュは、何れも
固定子側メッシュ２１と回転子側メッシュ２２からな
り、２１，２２は何れのメッシュでも同一のものである
が、それらの固定子側メッシュ２１に含まれる固定子巻
線部２３と回転子側メッシュ２２に含まれる回転子巻線
部２４の位置関係が、＃１，＃２，……，＃４でそれぞ
れ異なるように固定子側メッシュ２１と回転子側メッシ
ュ２２を結合する。一般には、スキューピッチθのと
き、＃１，＃２，……，＃ｎはそれらのメッシュのうち
の１つを基準とし、固定子側メッシュ２１と回転子側メ
ッシュ２２の位置関係が基準からθ／ｎずつずれるよう
にしてメッシュを作成する。例えば図２に示した例で
は、メッシュ数ｎが４であるから、＃２を基準とすれ
ば、＃１が−θ／４，＃３がθ／４，＃４がθ／２だけ
ずれた位置関係になるように作成している。In the magnetic field analysis 4 at the time t, a plurality of meshes and a magnetic field analysis equal to the number of meshes are performed internally. First, the number of meshes n input at input 2 and the skew pitch θ
To generate n different meshes. If these are called # 1 mesh, # 2 mesh,..., #N mesh, these meshes are 11a, 11b,
.., 11c. These # 1, #
2,..., #N meshes are shown in FIG. 2 when n = 4. The meshes # 1 to # 4 in FIG. 2 each include a stator-side mesh 21 and a rotor-side mesh 22. Although the meshes 21 and 22 are the same in both meshes, the stator-side mesh 21 The stator-side mesh 21 and the stator-side mesh 21 are arranged such that the positional relationship between the included stator winding 23 and the rotor winding 24 included in the rotor-side mesh 22 differs between # 1, # 2,... The rotor side mesh 22 is connected. Generally, when the skew pitch θ, # 1, # 2,..., #N are based on one of the meshes, and the positional relationship between the stator side mesh 21 and the rotor side mesh 22 is different from the reference. A mesh is created so as to shift by θ / n. For example, in the example shown in FIG. 2, since the number of meshes n is 4, # 1 is shifted by -θ / 4, # 3 is shifted by θ / 4, and # 4 is shifted by θ / 2 based on # 2. It is created to be in a positional relationship.
【００１８】１１ａ，１１ｂ，……，１１ｃで作成され
た＃１，＃２，……，＃ｎメッシュを用いて、それぞれ
非定常の磁界解析を１２ａ，１２ｂ，……，１２ｃで行
う。このときの基本方程式は、未知数がｘ，ｙ，ｚの３
方向のうちｘ，ｙ方向には変化するがｚ方向には一様で
あるような二次元場に対する次式とし、磁気ベクトルポ
テンシャルＡと渦電流密度Ｊｅを未知数として計算する
方法を採る。Using the # 1, # 2,..., #N meshes created in 11a, 11b,..., 11c, unsteady magnetic field analysis is performed at 12a, 12b,. The basic equation at this time is that the unknowns are x, y, z of 3
The following equation is used for a two-dimensional field that changes in the x and y directions but is uniform in the z direction, and the magnetic vector potential A and the eddy current density Je are calculated as unknowns.
【００１９】[0019]
【数５】 (Equation 5)
【００２０】（数１）におけるμは透磁率であり、渦電
流密度Ｊｅは導電率をσとすれば、次式のようになる。In equation (1), μ is the magnetic permeability, and the eddy current density Je is given by the following equation, where σ is the conductivity.
【００２１】[0021]
【数６】 (Equation 6)
【００２２】（数１）におけるＪ０は、強制電流であ
り、予め既知の電流であり、図２でいえば固定子巻線部
２３の電流である。また、（数１）の磁気ベクトルポテ
ンシャルＡが解かれれば、ｘ方向の磁束密度Ｂｘとｙ方
向の磁束密度Ｂｙは、次式によって計算できる。J0 in (Equation 1) is a forced current, which is a known current in advance, and is a current of the stator winding portion 23 in FIG. When the magnetic vector potential A of (Equation 1) is solved, the magnetic flux density Bx in the x direction and the magnetic flux density By in the y direction can be calculated by the following equations.
【００２３】[0023]
【数７】 (Equation 7)
【００２４】[0024]
【数８】 (Equation 8)
【００２５】一方、（数１）において、渦電流密度Ｊｅ
は、図２のメッシュでは回転子巻線部２４に流れる誘導
電流を指すもので、これによって、解析対象の機内にお
ける磁束密度と誘導電流が計算できることになる。ま
た、これらの非定常磁界解析によって、＃１，＃２，…
…，＃ｎメッシュの位置関係での誘導電流をＪｅ１，Ｊ
ｅ２，……，Ｊｅｎとすれば、これらの数値がそれぞれ
１２ａ，１２ｂ，……，１２ｃで計算される。On the other hand, in (Equation 1), the eddy current density Je
In the mesh shown in FIG. 2, indicates the induced current flowing through the rotor winding portion 24, whereby the magnetic flux density and the induced current in the machine to be analyzed can be calculated. Also, by these unsteady magnetic field analyses, # 1, # 2,.
.., The induced current in the positional relationship of #n mesh is Je1, J
.., Jen, these numerical values are calculated by 12a, 12b,.
【００２６】１３では、１２ａ，１２ｂ，……，１２ｃ
で計算された誘導電流をＪｅ１，Ｊｅ２，……，Ｊｅｎ
は、＃１，＃２，……，＃ｎメッシュの位置関係での回
転子巻線部２４の電気抵抗，漏れリアクタンスなどを考
慮して補正し、スキューを考慮した誘導電流Ｊｅｓを計
算する。例えば、＃１，＃２，……，＃ｎメッシュの位
置関係での回転子巻線部２４の電気抵抗，漏れリアクタ
ンスが等しいと考えれば、誘導電流Ｊｅｓは次式のよう
にして計算できる。In 13, 12 a, 12 b,..., 12 c
, Je1, Je2, ..., Jen
Is corrected in consideration of the electrical resistance and leakage reactance of the rotor winding portion 24 in the positional relationship of # 1, # 2,..., #N mesh, and calculates the induced current Jes in consideration of skew. For example, assuming that the electric resistance and the leakage reactance of the rotor windings 24 in the positional relationship of # 1, # 2,..., #N mesh are equal, the induced current Jes can be calculated as follows.
【００２７】[0027]
【数９】 (Equation 9)
【００２８】（数５）で計算された誘導電流Ｊｅｓはス
キューを考慮したときの＃１，＃２,……,＃ｎメッシュ
の回転子巻線部２４に共通に流れるもので、１４ａ，１
４ｂ，……，１４ｃではＪｅｓを強制電流とみたて、そ
れぞれ＃１，＃２,……,＃ｎメッシュを用いた静磁界解
析をする。そのときの基本方程式は、次式のようにな
る。The induced current Jes calculated by (Equation 5) flows in common through the # 1, # 2,..., #N mesh rotor windings 24 when skew is taken into account.
At 4b,..., 14c, Jes is regarded as a forced current, and static magnetic field analysis is performed using # 1, # 2,. The basic equation at that time is as follows.
【００２９】[0029]
【数１０】 (Equation 10)
【００３０】これによって、時刻ｔにおける解析対象機
の磁気ベクトルポテンシャルＡと渦電流Ｊｅが＃１，＃
２，……，＃ｎメッシュの固定子，回転子の位置関係
で、しかもスキューの効果が考慮された解析結果として
得られる。Thus, the magnetic vector potential A and the eddy current Je of the machine to be analyzed at time t are # 1 and #e.
2,..., Obtained as an analysis result in which the positional relationship between the stator and the rotor of the #n mesh and the effect of the skew are taken into consideration.
【００３１】この後、全ステップが終了していない場合
は、６で時刻ｔをｔ＋Δｔに更新し、再び４で磁界解析
を行い、全ステップが終了するまで繰り返す。このと
き、次の時刻ｔ＋Δｔのときは、Δｔの時間が経過した
分だけ回転子が移動しているので、＃１，＃２，……，
＃ｎメッシュの回転子側メッシュ２２はそれぞれ時刻ｔ
のメッシュの状態からΔｔの時間が経過した分だけ移動
したメッシュとして、１１ａ，１１ｂ，……，１１ｃで
再び作成し、更新するようにする。Thereafter, if all the steps have not been completed, the time t is updated to t + Δt at 6, the magnetic field analysis is performed again at 4, and the processing is repeated until all the steps are completed. At this time, at the next time t + Δt, since the rotor has moved by the amount of time Δt has elapsed, # 1, # 2,.
The rotor-side meshes 22 of the #n mesh are at time t
, 11c as meshes that have moved from the state of the meshes by the amount of time Δt has elapsed.
【００３２】図３に本発明の磁界解析による２次電流計
算結果の一例を示し、図４に従来の磁界解析による２次
電流計算結果の一例を示す。図３と図４は、全く同じか
ご形誘導電動機の計算結果であり、図３はスキューの効
果が考慮されているが、図４では考慮されていない。一
般に、誘導電動機でスキューを施せば、高調波成分が軽
減されるといわれているが、本発明によれば、その通り
の計算結果が得られてることがわかる。FIG. 3 shows an example of a secondary current calculation result by the magnetic field analysis of the present invention, and FIG. 4 shows an example of a secondary current calculation result by the conventional magnetic field analysis. FIGS. 3 and 4 show the calculation results of the same squirrel-cage induction motor, and FIG. 3 considers the effect of skew but does not consider it in FIG. It is generally said that skewing with an induction motor reduces harmonic components. However, according to the present invention, it can be seen that the calculation results are as such.
【００３３】[0033]
【発明の効果】上記実施例によれば、従来の方法ではで
きなかったスキューを考慮した回転機の解析が、二次元
磁界解析で簡易的に解析できるようになり、誘導電動機
などのスキューを施した回転機の磁界が計算できるよう
になる効果がある。According to the above-described embodiment, the analysis of the rotating machine in consideration of the skew which cannot be performed by the conventional method can be easily analyzed by the two-dimensional magnetic field analysis, and the skew of the induction motor or the like can be reduced. There is an effect that the magnetic field of the rotating machine can be calculated.
【図１】本発明の実施例を示す磁界解析の流れ。FIG. 1 is a flowchart of a magnetic field analysis showing an embodiment of the present invention.
【図２】本発明の実施例を補足説明するメッシュ図の一
例。FIG. 2 is an example of a mesh diagram for supplementary explanation of an embodiment of the present invention.
【図３】本発明の磁界解析による２次電流計算結果の一
例。FIG. 3 is an example of a secondary current calculation result by a magnetic field analysis according to the present invention.
【図４】従来の磁界解析による２次電流計算結果の一
例。FIG. 4 is an example of a secondary current calculation result by a conventional magnetic field analysis.
４…磁界解析、１１…メッシュ作成、１２…非定常磁界
解析、１３…非定常磁界解析による渦電流計算値の補
正、１４…静磁界解析、２１…固定子側メッシュ、２２
…回転子側メッシュ。4 magnetic field analysis, 11 mesh creation, 12 unsteady magnetic field analysis, 13 correction of eddy current calculation value by unsteady magnetic field analysis, 14 static magnetic field analysis, 21 stator mesh, 22
… Rotor side mesh.
───────────────────────────────────────────────────── フロントページの続き (72)発明者 小原木 春雄 茨城県日立市大みか町七丁目１番１号 株式会社 日立製作所 日立研究所内 (72)発明者 高橋 身佳 茨城県日立市大みか町七丁目１番１号 株式会社 日立製作所 日立研究所内 (72)発明者 伊藤 元哉 茨城県日立市大みか町七丁目１番１号 株式会社 日立製作所 日立研究所内 (56)参考文献 特開 平７−128413（ＪＰ，Ａ) (58)調査した分野(Int.Cl.7，ＤＢ名) G06F 17/50 612 ──────────────────────────────────────────────────続 き Continuing on the front page (72) Inventor Haruo Oharaki 7-1-1, Omika-cho, Hitachi City, Ibaraki Prefecture Within Hitachi Research Laboratory, Hitachi, Ltd. (72) Inventor Mika Takahashi 7, Omika-cho, Hitachi City, Ibaraki Prefecture No. 1 Hitachi, Ltd. Hitachi Research Laboratory (72) Inventor Motoya Ito 7-1-1, Omika-cho, Hitachi City, Ibaraki Prefecture Hitachi, Ltd. Hitachi Research Laboratory (56) References JP-A-7-128413 (JP) , A) (58) Field surveyed (Int. Cl. 7 , DB name) G06F 17/50 612
Claims (5)
作成した該２つ以上のメッシュを用いて少なくとも未知
数の１つを渦電流とした非定常磁界解析を行い、該非定
常磁界解析の結果として得られる渦電流の補正計算を行
い渦電流補正値を算出し、該渦電流補正値と該２つ以上
のメッシュを用いて静磁界解析を行うことを特徴とした
磁界解析の方法。(1) At least two or more meshes are created,
An unsteady magnetic field analysis is performed using at least one of the unknowns as an eddy current using the two or more created meshes, and a correction calculation of an eddy current obtained as a result of the unsteady magnetic field analysis is performed to calculate an eddy current correction value. And performing a static magnetic field analysis using the eddy current correction value and the two or more meshes.
側メッシュと回転側メッシュからなり該固定側メッシュ
と該回転側メッシュの位置関係を異なるように少なくと
も２つ以上のメッシュを作成し、作成した該２つ以上の
メッシュを用いてそれぞれ磁気ベクトルポテンシャルと
渦電流を未知数とした非定常磁界解析を行い、該非定常
磁界解析の結果として得られる渦電流の補正計算を行い
渦電流補正値を算出し、該渦電流補正値と該２つ以上の
メッシュを用いてそれぞれ磁気ベクトルポテンシャルを
未知数とした静磁界解析を行うことを特徴とした磁界解
析の方法。2. An item necessary for magnetic field analysis is input, and at least two or more meshes are formed from a fixed side mesh and a rotating side mesh so that the positional relationship between the fixed side mesh and the rotating side mesh is different. Using the two or more meshes created, perform an unsteady magnetic field analysis with the magnetic vector potential and the eddy current as unknowns, and perform a correction calculation of the eddy current obtained as a result of the unsteady magnetic field analysis to perform an eddy current correction value And calculating a static magnetic field analysis using the eddy current correction value and the two or more meshes with unknown magnetic vector potentials.
もスキューピッチθとメッシュ数ｎを入力し、前記２つ
以上のメッシュの数が該メッシュ数ｎであり、前記２つ
以上のメッシュの前記固定側メッシュと前記回転側メッ
シュの位置関係がそれぞれθ／ｎずつ異なるように作成
したことを特徴とした請求項２記載の磁界解析の方法。3. Inputting at least a skew pitch θ and the number of meshes n as items required for the magnetic field analysis, wherein the number of the two or more meshes is the number of meshes n, and the fixing of the two or more meshes is performed. 3. The magnetic field analysis method according to claim 2, wherein the positional relationship between the side mesh and the rotating side mesh is different from each other by θ / n.
ッシュであり、該誘導電動機のメッシュの回転側メッシ
ュには導電性を示す要素を含み、前記２つ以上のメッシ
ュを前記磁界解析に必要な項目として少なくともスキュ
ーピッチθとメッシュ数ｎを入力し、前記２つ以上のメ
ッシュの数が該メッシュ数ｎであり、前記２つ以上のメ
ッシュの前記固定側メッシュと前記回転側メッシュの位
置関係がそれぞれθ／ｎずつ異なるように作成したこと
を特徴とした請求項２記載の磁界解析の方法。4. The two or more meshes are meshes of an induction motor, and the rotating side mesh of the induction motor mesh includes a conductive element, and the two or more meshes are required for the magnetic field analysis. At least the skew pitch θ and the number of meshes n are input, and the number of the two or more meshes is the number of meshes n, and the positional relationship between the fixed side mesh and the rotating side mesh of the two or more meshes 3. The method for magnetic field analysis according to claim 2, wherein the values are different from each other by θ / n.
も解析時間ステップを入力し、前記２つ以上のメッシュ
の前記固定側メッシュと前記回転側メッシュの位置関係
をそれぞれ解析時間ステップとともに更新することを特
徴とした請求項２記載の磁界解析の方法。5. The method according to claim 5, wherein at least an analysis time step is input as an item required for said magnetic field analysis, and a positional relationship between said fixed side mesh and said rotating side mesh of said two or more meshes is updated together with said analysis time step. 3. The method for magnetic field analysis according to claim 2, wherein:
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP11488794A JP3218859B2 (en) | 1994-05-27 | 1994-05-27 | Magnetic field analysis method |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP11488794A JP3218859B2 (en) | 1994-05-27 | 1994-05-27 | Magnetic field analysis method |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| JPH07319945A JPH07319945A (en) | 1995-12-08 |
| JP3218859B2 true JP3218859B2 (en) | 2001-10-15 |
Family
ID=14649151
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP11488794A Expired - Lifetime JP3218859B2 (en) | 1994-05-27 | 1994-05-27 | Magnetic field analysis method |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JP3218859B2 (en) |
Families Citing this family (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| EP1134887A1 (en) * | 2000-03-14 | 2001-09-19 | General Electric Company | Frequency domain harmonic analysis methods and apparatus for electric machines |
| WO2004051517A1 (en) | 2002-11-29 | 2004-06-17 | The Japan Research Institute, Limited | Method for generating three-dimensional mesh, method for analyzing magnetic field of rotating machine, system for generating three-dimensional mesh, system for analyzing magnetic field of rotating machine, computer program, and recording medium |
| JP5210743B2 (en) * | 2008-07-15 | 2013-06-12 | 株式会社Ｊｓｏｌ | Magnetic field analysis apparatus, magnetic field analysis method, and computer program |
| JP5039003B2 (en) * | 2008-09-16 | 2012-10-03 | 株式会社日立製作所 | High-speed magnetic field analysis method, high-speed magnetic field analysis program, and recording medium |
| JP5228730B2 (en) * | 2008-09-17 | 2013-07-03 | 株式会社明電舎 | Analysis method of eddy current loss in magnet of permanent magnet motor |
| CN108964382B (en) * | 2018-07-24 | 2020-07-07 | 山西北方机械控股有限公司 | Method for calculating permanent magnet consumption of permanent magnet motor |
-
1994
- 1994-05-27 JP JP11488794A patent/JP3218859B2/en not_active Expired - Lifetime
Also Published As
| Publication number | Publication date |
|---|---|
| JPH07319945A (en) | 1995-12-08 |
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