JP2011111084A - Method and device for calculating demagnetization current of hull - Google Patents

Method and device for calculating demagnetization current of hull Download PDF

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JP2011111084A
JP2011111084A JP2009270871A JP2009270871A JP2011111084A JP 2011111084 A JP2011111084 A JP 2011111084A JP 2009270871 A JP2009270871 A JP 2009270871A JP 2009270871 A JP2009270871 A JP 2009270871A JP 2011111084 A JP2011111084 A JP 2011111084A
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hull
magnetic field
demagnetizing
coil
external magnetic
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JP5162761B2 (en
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Takashi Nakamura
尚 中村
Toshiji Kimura
利治 木村
Makoto Ikeo
允 池尾
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TECHNICAL RES & DEV INST MINISTRY DEFENCE
Technical Research and Development Institute of Japan Defence Agency
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Abstract

<P>PROBLEM TO BE SOLVED: To provide a method and a device for calculating the demagnetization current of a hull deriving the demagnetization current at which the external magnetic field of the hull at an arbitrarily set adjusting surface or line is minimum without being affected by the skill or the experience of a worker. <P>SOLUTION: The hull external magnetic field in a non-demagnetized state is measured at a magnetism measurement part or the like (ST1), and the demagnetization coil effect magnetic field is measured (ST2), an adjusting surface or an adjusting line is set (ST3). The hull magnetic field vector H<SB>N/D</SB>in a non-demagnetized state at the adjusting surface or the adjusting line is estimated and calculated by the inverse method based on the hull external magnetic field obtained in ST1 (ST4). The demagnetization coil effect magnetic field vectors H<SB>C1</SB>-H<SB>Cn</SB>at the adjusting surface or the adjusting line are estimated and calculated by the inverse method based on each demagnetization coil effect magnetic field obtained in ST2 (ST5). Optimum solutions i<SB>C1</SB>-i<SB>Cn</SB>to minimize the hull external magnetic field vector H<SB>F/D</SB>in the demagnetized state are obtained by the optimum parameter search method (ST6-ST8). <P>COPYRIGHT: (C)2011,JPO&INPIT

Description

本発明は、磁性体の(例えば鋼鉄製の)船体内に設けられた各消磁コイルに通電する消磁電流値を計算する、船体の消磁電流計算方法及び装置に関する。   The present invention relates to a hull demagnetizing current calculation method and apparatus for calculating a demagnetizing current value to be supplied to each degaussing coil provided in a magnetic body (for example, made of steel).

鋼鉄等の磁性体によって構成された船体を有する船舶の外部磁場は大別して、鋼材自身による永久磁場と、船体自身が地球磁場によって誘起される誘導磁場とから成り、これらが重畳して船体外部磁場を形成している。   The external magnetic field of a ship having a hull made of a magnetic material such as steel is roughly divided into a permanent magnetic field by the steel material itself and an induced magnetic field that is induced by the earth's magnetic field. Is forming.

船舶から発生するこれら船体外部磁場を最小にするために、従来は次のようにして各消磁コイルに通電する消磁電流値を決定していた。すなわち、まず、複数個の磁気検知器を測定海面の海底に敷設してある磁気測定所において、それら磁気検知器群の配列線上に船舶を航走又は係留させ、船舶の船底下における各消磁コイル非通電時の船体外部磁場を各磁気検知器で計測する。一方、船体内に設置された各消磁コイルに通電することで発生する船体外部磁場を各磁気検知器で計測する。そして、磁気測定所の職員が、試行的に各消磁コイル非通電時の船体磁場と各消磁コイルの発生する船体外部磁場とを組み合わせることで、船舶の船底下における船体外部磁場が基準値以下となるように消磁電流値を決定する。   In order to minimize these external magnetic fields generated from a ship, a demagnetizing current value for energizing each degaussing coil has been determined as follows. That is, first, in a magnetic measuring station in which a plurality of magnetic detectors are laid on the bottom of the measurement sea surface, a ship is sailed or moored on the array line of the magnetic detector groups, and each degaussing coil under the bottom of the ship The magnetic field outside the hull when not energized is measured by each magnetic detector. On the other hand, the magnetic field generated by energizing each degaussing coil installed in the hull is measured by each magnetic detector. Then, the staff of the magnetic measurement station trially combines the hull magnetic field when each degaussing coil is de-energized with the hull external magnetic field generated by each degaussing coil, so that the hull external magnetic field under the ship bottom is below the reference value. The demagnetizing current value is determined so that

また、別の方法として例えば、垂直方向の船体磁気を消磁するためのMコイルを1回目に調定し、首尾線方向の船体磁気を消磁するためのLコイルを2回目に調定し、左右舷方向の船体磁気を消磁するためのAコイルを3回目に調定する手法が下記特許文献1及び2に提案されている。   As another method, for example, the M coil for demagnetizing the hull magnetism in the vertical direction is adjusted for the first time, and the L coil for demagnetizing the hull magnetism for the tail line direction is adjusted for the second time. Patent Documents 1 and 2 below propose a method for adjusting the A coil for demagnetizing the ship's magnetic field in the saddle direction for the third time.

特開2006−335255号公報JP 2006-335255 A 特開2007−245791号公報JP 2007-245791 A

上記の磁気測定所の職員による消磁電流値の決定は、消磁状態(各消磁コイル通電時)の船体外部磁場が基準値以下であればよいので、理想的な消磁電流値と比較した誤差が大きくなりやすく、また、職員の技量により消磁電流値に差が生じるという問題がある。   Determining the demagnetizing current value by the staff at the above magnetic measurement station is sufficient if the external magnetic field of the hull in the degaussing state (when each degaussing coil is energized) is below the reference value, so there is a large error compared to the ideal demagnetizing current value. In addition, there is a problem that a demagnetization current value varies depending on the skill of the staff.

さらに、磁気検知器は船底下の決められた深度に設置されており、その測定値をそのまま消磁電流値の調定に用いているため、より深深度の船体外部磁場や上方あるいは側方の船体外部磁場を最小にするための調定を行うことはできない。   In addition, the magnetic detector is installed at a fixed depth below the bottom of the ship, and the measured value is used as it is for the adjustment of the demagnetizing current value. No adjustments can be made to minimize the external magnetic field.

一方、上記特許文献1及び2の手法では、例えば1回目にMコイルを、2回目にLコイルを、3回目にAコイルをそれぞれ調定するが、各コイルの最適消磁電流値は他のコイルの消磁電流値次第で異なるため、例えば1回目に調定したMコイルの消磁電流値が、3回目であるAコイルの調定後にも最適値といえるわけではない。したがって、算出された全てのコイルの消磁電流値による消磁状態の船体外部磁場は、最適消磁電流値による消磁状態の船体外部磁場からの誤差が大きい傾向にある。   On the other hand, in the methods of Patent Documents 1 and 2, for example, the M coil is adjusted for the first time, the L coil is adjusted for the second time, and the A coil is adjusted for the third time. For example, the demagnetizing current value of the M coil adjusted for the first time is not the optimum value after the third setting of the A coil. Therefore, the hull external magnetic field in the demagnetized state based on the calculated demagnetizing current values of all the coils tends to have a large error from the demagnetized state hull external magnetic field based on the optimum demagnetizing current value.

消磁電流調定の順番を決めるためには、各消磁コイルに優先度を付けなければならないが、消磁の効果はこの優先度に大きく影響される。これは経験的に決める他ないが、上記のMコイル、Lコイル、Aコイルの他に傾斜コイル等様々な消磁コイルを調定する場合、優先度を決めるのは非常に困難となる。さらに、任意の位置における船体外部磁場を最小にするような消磁電流調定は行うことができない。   In order to determine the order of degaussing current setting, each degaussing coil must be prioritized, but the degaussing effect is greatly influenced by this priority. This can only be determined empirically, but in the case of adjusting various degaussing coils such as a gradient coil in addition to the M coil, L coil, and A coil, it is very difficult to determine the priority. Furthermore, demagnetization current adjustment that minimizes the hull external magnetic field at an arbitrary position cannot be performed.

本発明はこうした状況を認識してなされたものであり、その目的は、作業者の技量や経験に影響されず、任意に設定した調定面又は調定線における船体外部磁場が最小となる消磁電流値を導出することの可能な、船体の消磁電流計算方法及び装置を提供することにある。   The present invention has been made in recognition of such a situation, and the purpose thereof is not affected by the skill and experience of the operator, and the degaussing that minimizes the hull external magnetic field on an arbitrarily set surface or line. It is an object of the present invention to provide a hull demagnetizing current calculation method and apparatus capable of deriving a current value.

本発明の第1の態様は、船体の消磁電流計算方法である。この方法は、
船体内に設けられた複数個の消磁コイルへの通電量を推定計算する、船体の消磁電流計算方法であって、
船体の外部の磁気検出器により測定した各消磁コイル非通電時の船体外部磁場を基に、インバース法により、任意に設定した調定面又は調定線における各消磁コイル非通電時の船体外部磁場を推定するステップと、
前記船体の外部の磁気検出器により測定した、各消磁コイルの発生する単位電流あたりの磁場である各消磁コイル効果磁場を基に、インバース法により、前記調定面又は調定線における各消磁コイル効果磁場を推定するステップと、
前記調定面又は調定線における各消磁コイル通電時の船体外部磁場が最小となる消磁電流値を最適パラメータ探索法を用いて特定するステップとを有する。
The first aspect of the present invention is a method for calculating a demagnetizing current of a hull. This method
A hull demagnetizing current calculation method for estimating and calculating energization amounts to a plurality of degaussing coils provided in the hull,
Based on the ship's external magnetic field when each degaussing coil is de-energized measured by a magnetic detector outside the hull, the ship's external magnetic field when each degaussing coil is de-energized on the settling surface or line determined arbitrarily by the inverse method Estimating
Each degaussing coil on the settling surface or settling line by an inverse method based on each demagnetizing coil effect magnetic field, which is a magnetic field per unit current generated by each demagnetizing coil, measured by a magnetic detector outside the hull. Estimating an effective magnetic field;
Identifying a demagnetizing current value at which the external magnetic field of the hull at the time of energization of each degaussing coil on the settling surface or settling line is minimized using an optimum parameter search method.

第1の態様の方法において、前記インバース法は長球調和関数展開法であってもよい。   In the method of the first aspect, the inverse method may be a long sphere harmonic function expansion method.

第1の態様の方法において、前記インバース法は球調和関数展開法であってもよい。   In the method of the first aspect, the inverse method may be a spherical harmonic function expansion method.

第1の態様の方法において、前記インバース法は点磁気双極子重畳法であってもよい。   In the method of the first aspect, the inverse method may be a point magnetic dipole superposition method.

本発明の第2の態様も、船体の消磁電流計算方法である。この方法は、
内部に複数個の消磁コイルを設けた船体の数値計算モデルを作成するステップと、
任意に設定した調定面又は調定線における各消磁コイル非通電時の船体外部磁場を数値シミュレーション法により推定するステップと、
前記調定面又は調定線における、各消磁コイルの発生する単位電流あたりの磁場である各消磁コイル効果磁場を、数値シミュレーション法により推定するステップと、
前記調定面又は調定線における各消磁コイル通電時の船体外部磁場が最小となる消磁電流値を最適パラメータ探索法を用いて特定するステップとを有する。
The second aspect of the present invention is also a hull demagnetizing current calculation method. This method
Creating a numerical calculation model of a hull having a plurality of degaussing coils therein;
Estimating the external magnetic field of the hull when the degaussing coil is not energized on an arbitrarily set adjustment surface or adjustment line by a numerical simulation method;
Estimating each degaussing coil effect magnetic field, which is a magnetic field per unit current generated by each degaussing coil, in the setting surface or setting line by a numerical simulation method;
Identifying a demagnetizing current value at which the external magnetic field of the hull at the time of energization of each degaussing coil on the settling surface or settling line is minimized using an optimum parameter search method.

第2の態様の方法において、前記数値シミュレーション法は積分方程式法であってもよい。   In the method of the second aspect, the numerical simulation method may be an integral equation method.

第2の態様の方法において、前記数値シミュレーション法は有限要素法であってもよい。   In the method of the second aspect, the numerical simulation method may be a finite element method.

第1又は第2の態様に記載の方法において、前記最適パラメータ探索法は遺伝的アルゴリズムであってもよい。   In the method according to the first or second aspect, the optimal parameter search method may be a genetic algorithm.

第1又は第2の態様の方法において、前記最適パラメータ探索法は最急降下法であってもよい。   In the method of the first or second aspect, the optimum parameter search method may be a steepest descent method.

第1又は第2の態様の方法において、前記最適パラメータ探索法は焼き鈍し法であってもよい。   In the method of the first or second aspect, the optimum parameter search method may be an annealing method.

第1又は第2の態様の方法において、前記最適パラメータ探索法は最小2乗法であってもよい。   In the method of the first or second aspect, the optimum parameter search method may be a least square method.

本発明の第3の態様は、船体の消磁電流計算装置である。この装置は、
船体内に設けられた複数個の消磁コイルと、船体の外部に設置された磁気検出器と、前記磁気検出器における測定データに基づいて各消磁コイルの消磁電流値を演算する演算部とを備え、前記演算部は、
前記磁気検出器により測定した各消磁コイル非通電時の船体外部磁場を基に、インバース法により、任意に設定した調定面又は調定線における各消磁コイル非通電時の船体外部磁場を推定し、
前記磁気検出器により測定した、各消磁コイルの発生する単位電流あたりの磁場である各消磁コイル効果磁場を基に、インバース法により、前記調定面又は調定線における各消磁コイル効果磁場を推定し、その後、
前記調定面又は調定線における各消磁コイル通電時の船体外部磁場が最小となる消磁電流値を最適パラメータ探索法を用いて特定する。
A third aspect of the present invention is a hull demagnetizing current calculation apparatus. This device
A plurality of degaussing coils provided in the hull, a magnetic detector installed outside the hull, and a calculation unit for calculating a demagnetizing current value of each degaussing coil based on measurement data in the magnetic detector. The calculation unit is
Based on the hull external magnetic field when each degaussing coil is not energized measured by the magnetic detector, the inverse external method is used to estimate the hull external magnetic field when each degaussing coil is not energized on an arbitrarily set adjustment surface or line. ,
Based on each demagnetizing coil effect magnetic field, which is a magnetic field per unit current generated by each degaussing coil, measured by the magnetic detector, each demagnetizing coil effect magnetic field on the adjustment surface or adjustment line is estimated by an inverse method. And then
A demagnetizing current value at which the hull external magnetic field at the time of energization of each degaussing coil on the setting surface or the setting line is specified using an optimum parameter search method.

なお、以上の構成要素の任意の組合せ、本発明の表現を方法やシステムなどの間で変換したものもまた、本発明の態様として有効である。   It should be noted that any combination of the above-described constituent elements, and those obtained by converting the expression of the present invention between methods and systems are also effective as aspects of the present invention.

本発明によれば、船体の外部の磁気検出器により測定した各消磁コイル非通電時の船体外部磁場及び各消磁コイルの発生する単位電流あたりの磁場である各消磁コイル効果磁場を基にしたインバース法により、又は数値シミュレーション法により、任意に設定した調定面又は調定線における各消磁コイル非通電時の船体外部磁場及び各消磁コイル効果磁場を推定し、前記調定面又は調定線における各消磁コイル通電時の船体外部磁場が最小となる消磁電流値を最適パラメータ探索法を用いて特定するので、作業者の技量や経験に影響されず、任意に設定した調定面又は調定線における船体外部磁場が最小となる消磁電流値を導出可能となる。   According to the present invention, an inverse based on each demagnetizing coil effect magnetic field, which is a magnetic field per unit current generated by each degaussing coil, and a hull external magnetic field when each degaussing coil is de-energized measured by a magnetic detector outside the hull. Method or numerical simulation method to estimate the hull external magnetic field and each degaussing coil effect magnetic field when each degaussing coil is not energized on an arbitrarily set adjustment surface or adjustment line, and on the adjustment surface or adjustment line Since the demagnetizing current value that minimizes the hull external magnetic field when each degaussing coil is energized is specified using the optimum parameter search method, it is not affected by the skill and experience of the operator, and the setting surface or setting line set arbitrarily It is possible to derive a demagnetizing current value that minimizes the hull external magnetic field.

本発明の第1の実施の形態に係る船体の消磁電流計算方法の手順説明図。Explanatory drawing of the procedure of the degaussing current calculation method of the hull which concerns on the 1st Embodiment of this invention. 同実施の形態の長球調和関数展開法で使用する数学モデルの概要図。The schematic diagram of the mathematical model used with the long sphere harmonic function expansion method of the embodiment. 本発明の第2の実施の形態に係る船体の消磁電流計算方法の手順説明図。Explanatory drawing of the procedure of the demagnetizing current calculation method of the hull which concerns on the 2nd Embodiment of this invention.

以下、図面を参照しながら本発明の好適な実施の形態を詳述する。なお、各図面に示される同一または同等の構成要素、部材、処理等には同一の符号を付し、適宜重複した説明は省略する。また、実施の形態は発明を限定するものではなく例示であり、実施の形態に記述されるすべての特徴やその組み合わせは必ずしも発明の本質的なものであるとは限らない。   Hereinafter, preferred embodiments of the present invention will be described in detail with reference to the drawings. In addition, the same code | symbol is attached | subjected to the same or equivalent component, member, process, etc. which are shown by each drawing, and the overlapping description is abbreviate | omitted suitably. In addition, the embodiments do not limit the invention but are exemplifications, and all features and combinations thereof described in the embodiments are not necessarily essential to the invention.

(第1の実施の形態)
本実施の形態では、複数個の磁気検出器(例えば、X,Y,Z方向(直交3軸)の3軸磁気検知器)を測定海面の海底に敷設した設備を有する磁気測定所にて定期的に実施される磁気測定時の船体外部磁場の測定値から、例えば長球調和関数の展開式によりX,Y,Z方向の船体外部磁場展開係数を求め、任意に設定した調定面又は調定線における各消磁コイル非通電時(非消磁状態)の船体外部磁場を推定する。一方、磁気測定所における、各消磁コイルの発生する単位電流あたりの磁場である各消磁コイル効果磁場の測定値から、例えば長球調和関数の展開式により各消磁コイル効果磁場展開係数を求め、前記調定面又は調定線における各消磁コイル効果磁場を推定する。そして、最適パラメータ探索法を用いて、前記調定面又は調定線における各消磁コイル通電時(消磁状態)の船体外部磁場が最小となる消磁電流値を特定する。
(First embodiment)
In this embodiment, a plurality of magnetic detectors (for example, three-axis magnetic detectors in the X, Y, and Z directions (three orthogonal axes)) are periodically installed at a magnetic measuring station having facilities laid on the seabed of the measurement sea surface. For example, the hull external magnetic field expansion coefficient in the X, Y, and Z directions is obtained from the measured value of the hull external magnetic field at the time of magnetic measurement, for example, by the expansion formula of the long spherical harmonic function. Estimate the hull external magnetic field when each degaussing coil is not energized (non-demagnetized state) on a constant line. On the other hand, from the measured value of each demagnetizing coil effect magnetic field that is a magnetic field per unit current generated by each demagnetizing coil at a magnetic measurement station, for example, obtain each demagnetizing coil effect magnetic field expansion coefficient by an expansion formula of a long spherical harmonic function, Estimate each demagnetizing coil effect magnetic field on the adjustment surface or adjustment line. Then, by using an optimum parameter search method, a demagnetizing current value that minimizes the hull external magnetic field when each demagnetizing coil is energized (demagnetized state) on the adjustment surface or adjustment line is specified.

図1は、本発明の第1の実施の形態に係る船体の消磁電流計算方法の手順説明図である。始めに、磁気測定所等において、海底等に設置された複数の磁気検出器により、非消磁状態の船体外部磁場を計測する(ST1)。同様に、船体内に設置されている消磁コイルに通電したときに発生する単位電流当たりの磁場である消磁コイル効果磁場を全ての消磁コイルC1〜Cnについて計測する(ST2)。なお、消磁コイルC1〜Cnの中には、船体全体に及ぶように敷設された首尾線方向、横方向、垂直方向の磁場を発生するもののほか、例えば船首付近の局所的な外部磁場を消磁するために敷設されたものもある。以下の各ステップは、基本的に、コンピュータとソフトウェアの協働によって実現される。 FIG. 1 is a procedure explanatory diagram of a method for calculating a demagnetizing current of a hull according to the first embodiment of the present invention. First, a non-degaussed hull external magnetic field is measured by a plurality of magnetic detectors installed on the seabed or the like at a magnetic measurement station or the like (ST1). Similarly, to measure the degaussing coil effect magnetic a field per unit current generated when energized to degaussing coil which is installed in a hull for all demagnetizing coils C 1 ~C n (ST2). In addition, in the degaussing coils C 1 to C n , in addition to those that generate magnetic fields in the tail line direction, the horizontal direction, and the vertical direction that are laid to cover the entire hull, for example, a local external magnetic field near the bow is generated. Some were laid to degauss. The following steps are basically realized by the cooperation of a computer and software.

次に、消磁をしたい調定面又は調定線を設定する(ST3)。なお、この調定面又は調定線は、船体下部だけではなく、上部、前部、後部、右部、左部その他についても任意に設定可能である。続いて、ST1で得られた船体外部磁場を基に、インバース法により、ST3で設定した調定面又は調定線における非消磁状態の船体外部磁場ベクトルHN/Dを推定計算する(ST4)。同様にST2で得られた各消磁コイル効果磁場を基に、インバース法により、前記調定面又は調定線における各消磁コイル効果磁場ベクトルHC1〜HCnを推定計算する(ST5)。 Next, a setting surface or a setting line to be demagnetized is set (ST3). It should be noted that this adjustment surface or adjustment line can be arbitrarily set not only at the lower part of the hull, but also at the upper part, front part, rear part, right part, left part and others. Subsequently, based on the hull external magnetic field obtained in ST1, the non-demagnetized hull external magnetic field vector H N / D on the setting surface or setting line set in ST3 is estimated and calculated by the inverse method (ST4). . Similarly, based on each demagnetizing coil effect magnetic field obtained in ST2, the demagnetizing coil effect magnetic field vectors H C1 to H Cn on the adjustment surface or the adjustment line are estimated and calculated by an inverse method (ST5).

ST4及びST5で用いるインバース法は、実測値に基づく公知の解析手法であり、長球調和関数展開法や球調和関数展開法、点磁気双極子重畳法(船体外部磁場を任意の位置に配置した複数の磁気双極子の磁場の和とする方法)等が該当する。ここでは、一例として長球調和関数展開法を用いる場合について説明する。   The inverse method used in ST4 and ST5 is a well-known analysis method based on actual measurement values. The long spherical harmonic expansion method, the spherical harmonic expansion method, the point magnetic dipole superposition method (the hull external magnetic field is arranged at an arbitrary position) A method of summing the magnetic fields of a plurality of magnetic dipoles). Here, as an example, the case of using the long sphere harmonic function expansion method will be described.

図2は、本実施の形態の長球調和関数展開法で使用する数学モデルの概要図である。ここでは、船体を回転楕円体と見なし、座標軸は船体中心を原点とし、首尾線前方向をX軸、右舷方向をY軸、垂直下方向をZ軸と定義する。次に、原点を基準としてX軸上の両側の位置に点C1,C2を置き、これらを焦点とし、船体と見なしている回転楕円体の内接、外接する共焦点楕円体面をξieとして、回転楕円体座標(ξ,η,φ)を設ける。船舶の鋼材で構成された船体は、計算上はこうして中空回転楕円体モデルに置き換えることができる。このような中空回転楕円体モデル(船体)の外部磁場は、伝導電流を含まない空間領域に船体が存在しているものとすると、うずなしである。このため、船体外部磁場のスカラー・ポテンシャルすなわち磁位は、ラプラスの方程式を満足する。 FIG. 2 is a schematic diagram of a mathematical model used in the long sphere harmonic function expansion method of the present embodiment. Here, the hull is regarded as a spheroid, the coordinate axes are defined as the origin of the hull center, the forward direction of the tail line is defined as the X axis, the starboard direction is defined as the Y axis, and the vertical downward direction is defined as the Z axis. Next, place the point C 1, C 2 on both sides of the position on the X-axis relative to the origin, they were the focus, inscribed spheroidal considers a hull, a confocal ellipsoidal surface circumscribing xi] i , ξ e are provided with spheroid coordinates (ξ, η, φ). A ship body made of steel material of a ship can be replaced with a hollow spheroid model in this way. The external magnetic field of such a hollow spheroid model (hull) is swirled if the hull is present in a spatial region that does not include conduction current. For this reason, the scalar potential or magnetic potential of the magnetic field outside the hull satisfies the Laplace equation.

回転楕円体座標における任意の点P(ξ,η,φ)は、点C1,C2を焦点とする回転楕円面ξ(ξ≧1)、点C1,C2を焦点とする回転双曲面η(−1≦η≦1)、及びX軸を境界とする半平面φ(0≦φ≦2π)の交点として表される。ここで、点Pの回転楕円体座標(ξ,η,φ)を直角座標(x,y,z)で表すと、

Figure 2011111084
となる。この座標系を用いると、ラプラスの方程式の解すなわちξ>ξeの外部磁位Fe(ξ,η,φ)は、
Figure 2011111084
のように長球調和関数の無限級数展開で表示できる。ここで、船体外部磁場の各成分Hx,Hy,Hzの表現式は、式2の負の導関数により定義されるため、
Figure 2011111084
Figure 2011111084
Figure 2011111084
となる。 Any point in spheroidal coordinates P (ξ, η, φ) is spheroidal ξ (ξ ≧ 1) of the point C 1, C 2 and focus, rotating twin to the point C 1, C 2 and focus It is expressed as an intersection of a curved surface η (−1 ≦ η ≦ 1) and a half plane φ (0 ≦ φ ≦ 2π) with the X axis as a boundary. Here, when the spheroid coordinates (ξ, η, φ) of the point P are expressed by rectangular coordinates (x, y, z),
Figure 2011111084
It becomes. Using this coordinate system, the solution of Laplace's equation, that is, the external magnetic potential F e (ξ, η, φ) with ξ> ξ e is
Figure 2011111084
It can be displayed by infinite series expansion of the long spherical harmonic function. Here, since the expression of each component Hx, Hy, Hz of the hull external magnetic field is defined by the negative derivative of Equation 2,
Figure 2011111084
Figure 2011111084
Figure 2011111084
It becomes.

船体外部磁場の各展開係数は、ST1で計測した船体外部磁場の値を式3〜5にあてはめ、最小2乗法により求めることができる。そして、各展開係数より、ST3で設定した調定面又は調定線における非消磁状態の船体外部磁場ベクトルHN/Dを推定計算する(ST4)。 Each expansion coefficient of the hull external magnetic field can be obtained by applying the value of the hull external magnetic field measured in ST1 to Equations 3 to 5 and using the least square method. Then, from each expansion coefficient, the hull external magnetic field vector H N / D in the non-demagnetized state on the adjustment surface or adjustment line set in ST3 is estimated and calculated (ST4).

また、消磁コイルC1〜Cnに各々による消磁コイル効果磁場の各展開係数も同様に、ST2で計測した各消磁コイル効果磁場の値を式3〜5にあてはめ、最小2乗法により求めることができる。そして、各展開係数より、ST3で設定した調定面又は調定線における各消磁コイル効果磁場ベクトルHC1〜HCnを推定計算する(ST5)。 Similarly, each expansion coefficient of the degaussing coil effect magnetic field due to each demagnetizing coil C 1 -C n, fitting the values of the demagnetizing coils effects a magnetic field measured by ST2 in Equation 3-5, be determined by the least square method it can. Then, each demagnetizing coil effect magnetic field vector H C1 to H Cn on the adjustment surface or adjustment line set in ST3 is estimated and calculated from each expansion coefficient (ST5).

ここで、各消磁コイルの電流値をiC1〜iCnとすると、前記調定面又は調定線における消磁状態の船体外部磁場ベクトルHF/Dは、

Figure 2011111084
となる。消磁状態の船体外部磁場ベクトルHF/Dが最小となるような最適解iC1〜iCnを遺伝的アルゴリズム(GA:GeneticAlgorithms)や最急降下法、焼き鈍し法、最小2乗法等の最適パラメータ探索法で求めることになる。いずれも公知の手法のため詳細な説明は省略するが、ここでは一例として、最急降下法を用いた場合の適応例を記述する。 Here, if the current values of the degaussing coils are i C1 to i Cn , the demagnetized hull external magnetic field vector HF / D on the setting surface or setting line is
Figure 2011111084
It becomes. Genetic algorithm an optimal solution i C1 through i Cn as hull external magnetic field vector H F / D of demagnetized state is minimized (GA: GeneticAlgorithms) and the steepest descent method, annealing method, minimum 2 optimal parameter search method such as multiplication It will ask for. Since all of them are known techniques, a detailed description thereof is omitted, but here, an example of adaptation when the steepest descent method is used will be described as an example.

まず、各消磁コイルの電流値iC1〜iCnを仮設定する(ST6)。次に、仮設定した電流値における消磁状態の船体外部磁場を式6により算出する(ST7)。その消磁状態の船体磁場の例えば最大値を記憶しておき、その値が徐々に小さくなり、最後に収束するまで各消磁コイルの電流値を少しずつ変化させ、収束したときの電流値が最適消磁電流値となり、最適消磁電流値と最適消磁状態の船体外部磁場が出力される(ST8)。なお、船体外部磁場ベクトルHF/Dが最小とは、例えば、船体外部磁場ベクトルHF/Dのx成分,y成分もしくはz成分のいずれか又はそれら3成分の2乗平均の、ST3で設定した調定面又は調定線における平均値ないし最大値が最小であることをいう。 First, the current values i C1 to i Cn of each degaussing coil are temporarily set (ST6). Next, the demagnetized hull external magnetic field at the temporarily set current value is calculated by Equation 6 (ST7). For example, the maximum value of the demagnetized hull magnetic field is stored, and the current value of each degaussing coil is changed little by little until the value gradually decreases and finally converges. The current value is obtained, and the optimum demagnetization current value and the ship body external magnetic field in the optimum demagnetization state are output (ST8). Note that the hull external magnetic field vector HF / D is the minimum, for example, set in ST3, which is one of the x component, y component or z component of the hull external magnetic field vector HF / D , or the mean square of these three components. It means that the average value or the maximum value on the settling surface or the setting line is the minimum.

本実施の形態によれば、船体の外部の磁気検出器により測定した非消磁状態の船体外部磁場及び各消磁コイルの発生する単位電流あたりの磁場である各消磁コイル効果磁場を基にしたインバース法により、任意に設定した調定面又は調定線における非消磁状態の船体外部磁場及び各消磁コイル効果磁場を推定し、前記調定面又は調定線における消磁状態の船体外部磁場が最小となる消磁電流値を最適パラメータ探索法を用いて特定するので、作業者の技量や経験に影響されず、任意に設定した調定面又は調定線における船体外部磁場が最小となる消磁電流値を短時間で導出可能となる。   According to the present embodiment, the inverse method based on each degaussing coil effect magnetic field which is a magnetic field per unit current generated by each degaussing coil and a non-degaussing hull external magnetic field measured by a magnetic detector outside the hull To estimate the non-demagnetized hull external magnetic field and each demagnetizing coil effect magnetic field on the arbitrarily set adjustment surface or adjustment line, and the demagnetization state hull external magnetic field on the adjustment surface or adjustment line is minimized. Since the degaussing current value is specified using the optimum parameter search method, the degaussing current value that minimizes the external magnetic field of the hull on the arbitrarily set adjustment surface or adjustment line is minimized without being affected by the skill and experience of the operator. It can be derived in time.

(第2の実施の形態)
図3は、本発明の第2の実施の形態に係る船体の消磁電流計算方法の手順説明図である。各ステップは、基本的に、コンピュータとソフトウェアの協働によって実現される。始めに、積分方程式法や有限要素法等の数値シミュレーションに対応した船体の3次元計算モデルを作成する(ST9)。なお、この3次元計算モデルには、前記船体内に設けられた複数の消磁コイルのモデルも含まれる。次に、消磁をしたい調定面又は調定線を設定する(ST10)。なお、この調定面又は調定線は船体下部だけではなく、上部、前部、後部、右部、左部その他についても設定可能である。続いて、数値シミュレーションにより、ST10で設定した調定面又は調定線における非消磁状態の船体外部磁場ベクトルHN/Dを推定計算する(ST11)。同様に、数値シミュレーションにより、前記調定面及び調定線における各消磁コイル効果磁場ベクトルHC1〜HCnを推定計算する(ST12)。これ以降、ST13〜15については、前述したST6〜8と同様である。
(Second embodiment)
FIG. 3 is a procedure explanatory diagram of a method for calculating a demagnetizing current for a hull according to the second embodiment of the present invention. Each step is basically realized by the cooperation of a computer and software. First, a three-dimensional calculation model of a hull corresponding to numerical simulation such as an integral equation method or a finite element method is created (ST9). The three-dimensional calculation model includes a plurality of degaussing coil models provided in the hull. Next, a setting surface or a setting line to be demagnetized is set (ST10). This setting surface or setting line can be set not only for the lower part of the hull, but also for the upper part, front part, rear part, right part, left part and others. Subsequently, the non-demagnetized hull external magnetic field vector H N / D on the adjustment surface or adjustment line set in ST10 is estimated and calculated by numerical simulation (ST11). Similarly, the demagnetizing coil effect magnetic field vectors H C1 to H Cn on the adjustment surface and the adjustment line are estimated and calculated by numerical simulation (ST12). Thereafter, ST13 to 15 are the same as ST6 to 8 described above.

なお、ST11における船体外部磁場ベクトルHN/Dの推定計算に関し、積分方程式法又は有限要素法といった数値解析手法では船体の数値計算モデルを作成して船体に地磁気が印加されることによる誘導磁気を計算することが可能である一方、船体の有する永久磁気についてはどのように計算するかが問題となる。しかし、実際には、船体には永久磁気を除去する脱磁処理(船体に幾巻きかの胴巻輪線を装着してそれらに電流の極性を正負に変えながらその大きさを漸減して通電する(つまり磁場を印加する)脱磁処理)が施されるので、船体の永久磁気はゼロとして船体外部磁場ベクトルHN/Dを推定計算することが可能である。あるいは、脱磁処理後の残留永久磁気をシミュレーションで推定計算し、その計算値を船体の永久磁気の値として船体外部磁場ベクトルHN/Dを推定計算してもよい。 In addition, regarding the estimation calculation of the hull external magnetic field vector H N / D in ST11, a numerical analysis method such as the integral equation method or the finite element method creates a numerical calculation model of the hull and applies induced magnetism by applying geomagnetism to the hull. While it is possible to calculate, the problem is how to calculate the permanent magnetism of the hull. However, in reality, the hull is demagnetized to remove permanent magnetism (a number of hull windings are attached to the hull, and the current polarity is changed to positive and negative while the current is gradually reduced to energize the hull. (That is, demagnetization processing (applying a magnetic field)) is performed, so that the hull external magnetic field vector H N / D can be estimated and calculated with the permanent magnetism of the hull being zero. Alternatively, the residual permanent magnetism after the demagnetization process may be estimated and calculated by simulation, and the calculated value may be used as the value of the permanent magnetism of the hull to estimate and calculate the hull external magnetic field vector H N / D.

本実施の形態によれば、第1の実施の形態と比較して、磁気測定所等における船体外部磁場測定及び消磁コイル効果磁場測定が不要という利点がある。このため、船体の建造中や設計段階においても各消磁コイルに通電すべき消磁電流値を導出可能となる。   According to the present embodiment, there is an advantage that the hull external magnetic field measurement and the degaussing coil effect magnetic field measurement at a magnetic measurement station or the like are not required as compared with the first embodiment. For this reason, it is possible to derive a demagnetizing current value to be applied to each degaussing coil during the construction of the hull or at the design stage.

以上、実施の形態を例に本発明を説明したが、実施の形態の各構成要素や各処理プロセスには請求項に記載の範囲で種々の変形が可能であることは当業者に理解されるところである。以下、変形例について触れる。   The present invention has been described above by taking the embodiment as an example. However, it is understood by those skilled in the art that various modifications can be made to each component and each processing process of the embodiment within the scope of the claims. By the way. Hereinafter, modifications will be described.

1〜Cn 消磁コイル
C1〜iCn 消磁電流値
C1〜HCn 消磁コイル効果磁場ベクトル
N/D 船体外部磁場ベクトル(非消磁状態)
F/D 船体外部磁場ベクトル(消磁状態)
C 1 to C n degaussing coil i C1 to i Cn demagnetizing current value H C1 to H Cn degaussing coil effect magnetic field vector H N / D hull external magnetic field vector (non-degaussing state)
HF / D hull external magnetic field vector (demagnetized state)

Claims (12)

船体内に設けられた複数個の消磁コイルへの通電量を推定計算する、船体の消磁電流計算方法であって、
船体の外部の磁気検出器により測定した各消磁コイル非通電時の船体外部磁場を基に、インバース法により、任意に設定した調定面又は調定線における各消磁コイル非通電時の船体外部磁場を推定するステップと、
前記船体の外部の磁気検出器により測定した、各消磁コイルの発生する単位電流あたりの磁場である各消磁コイル効果磁場を基に、インバース法により、前記調定面又は調定線における各消磁コイル効果磁場を推定するステップと、
前記調定面又は調定線における各消磁コイル通電時の船体外部磁場が最小となる消磁電流値を最適パラメータ探索法を用いて特定するステップとを有する、船体の消磁電流計算方法。
A hull demagnetizing current calculation method for estimating and calculating energization amounts to a plurality of degaussing coils provided in the hull,
Based on the ship's external magnetic field when each degaussing coil is de-energized measured by a magnetic detector outside the hull, the ship's external magnetic field when each degaussing coil is de-energized on the settling surface or line determined arbitrarily by the inverse method. Estimating
Each degaussing coil on the settling surface or settling line by an inverse method based on each demagnetizing coil effect magnetic field, which is a magnetic field per unit current generated by each demagnetizing coil, measured by a magnetic detector outside the hull. Estimating an effective magnetic field;
A demagnetizing current calculation method for a hull, comprising: using an optimum parameter search method to specify a demagnetizing current value that minimizes a hull external magnetic field when each degaussing coil is energized on the setting surface or the setting line.
請求項1に記載の方法において、前記インバース法が長球調和関数展開法である、船体の消磁電流計算方法。   The method according to claim 1, wherein the inverse method is a long-sphere harmonic function expansion method. 請求項1に記載の方法において、前記インバース法が球調和関数展開法である、船体の消磁電流計算方法。   The method according to claim 1, wherein the inverse method is a spherical harmonic expansion method. 請求項1に記載の方法において、前記インバース法が点磁気双極子重畳法である、船体の消磁電流計算方法。   The method according to claim 1, wherein the inverse method is a point magnetic dipole superposition method. 内部に複数個の消磁コイルを設けた船体の数値計算モデルを作成するステップと、
任意に設定した調定面又は調定線における各消磁コイル非通電時の船体外部磁場を数値シミュレーション法により推定するステップと、
前記調定面又は調定線における、各消磁コイルの発生する単位電流あたりの磁場である各消磁コイル効果磁場を、数値シミュレーション法により推定するステップと、
前記調定面又は調定線における各消磁コイル通電時の船体外部磁場が最小となる消磁電流値を最適パラメータ探索法を用いて特定するステップとを有する、船体の消磁電流計算方法。
Creating a numerical calculation model of a hull having a plurality of degaussing coils therein;
Estimating the external magnetic field of the hull when the degaussing coil is not energized on an arbitrarily set adjustment surface or adjustment line by a numerical simulation method;
Estimating each degaussing coil effect magnetic field, which is a magnetic field per unit current generated by each degaussing coil, in the setting surface or setting line by a numerical simulation method;
A demagnetizing current calculation method for a hull, comprising: using an optimum parameter search method to specify a demagnetizing current value that minimizes a hull external magnetic field when each degaussing coil is energized on the setting surface or the setting line.
請求項5に記載の方法において、前記数値シミュレーション法が積分方程式法である、船体の消磁電流計算方法。   6. The method according to claim 5, wherein the numerical simulation method is an integral equation method. 請求項5に記載の方法において、前記数値シミュレーション法が有限要素法である、船体の消磁電流計算方法。   The method according to claim 5, wherein the numerical simulation method is a finite element method. 請求項1から7のいずれかに記載の方法において、前記最適パラメータ探索法が遺伝的アルゴリズムである、船体の磁気低減方法。   8. The method according to claim 1, wherein the optimum parameter search method is a genetic algorithm. 請求項1から7のいずれかに記載の方法において、前記最適パラメータ探索法が最急降下法である、船体の磁気低減方法。   8. The method according to claim 1, wherein the optimum parameter search method is a steepest descent method. 請求項1から7のいずれかに記載の方法において、前記最適パラメータ探索法が焼き鈍し法である、船体の磁気低減方法。   The method according to claim 1, wherein the optimum parameter search method is an annealing method. 請求項1から7のいずれかに記載の方法において、前記最適パラメータ探索法が最小2乗法である、船体の磁気低減方法。   The method according to claim 1, wherein the optimum parameter search method is a least square method. 船体内に設けられた複数個の消磁コイルと、船体の外部に設置された磁気検出器と、前記磁気検出器における測定データに基づいて各消磁コイルの消磁電流値を演算する演算部とを備え、前記演算部は、
前記磁気検出器により測定した各消磁コイル非通電時の船体外部磁場を基に、インバース法により、任意に設定した調定面又は調定線における各消磁コイル非通電時の船体外部磁場を推定し、
前記磁気検出器により測定した、各消磁コイルの発生する単位電流あたりの磁場である各消磁コイル効果磁場を基に、インバース法により、前記調定面又は調定線における各消磁コイル効果磁場を推定し、その後、
前記調定面又は調定線における各消磁コイル通電時の船体外部磁場が最小となる消磁電流値を最適パラメータ探索法を用いて特定する、船体の消磁電流計算装置。
A plurality of degaussing coils provided in the hull, a magnetic detector installed outside the hull, and a calculation unit for calculating a demagnetizing current value of each degaussing coil based on measurement data in the magnetic detector. The calculation unit is
Based on the hull external magnetic field when each degaussing coil is not energized measured by the magnetic detector, the inverse external method is used to estimate the hull external magnetic field when each degaussing coil is not energized on an arbitrarily set adjustment surface or line. ,
Based on each demagnetizing coil effect magnetic field, which is a magnetic field per unit current generated by each degaussing coil, measured by the magnetic detector, each demagnetizing coil effect magnetic field on the adjustment surface or adjustment line is estimated by an inverse method. And then
A hull demagnetizing current calculation device for specifying a demagnetizing current value at which the hull external magnetic field at the time of energizing each degaussing coil on the settling surface or the settling line is minimized using an optimum parameter search method.
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