Simulation apparatus and simulation method
A computer-readable medium stores a magnetic substrate simulation program causing a computer to execute a process that includes calculating an effective magnetic field for each area of an element in the magnetic substrate, when magnetization of each area changes and based on a magnetic field generated from magnetic energy in each area and a rate of change of magnetization working in a direction inhibiting change in the average magnetization of the areas; obtaining for each area and based on the calculated effective magnetic fields and magnetization of each area, changes in magnetization and calculating for each area, magnetization after the changes; judging based on magnetization of each area before and after the changes, whether magnetization in the element converges; and storing a combination of the average magnetization of the areas for which magnetization in the given element converges and a static magnetic field based on the average magnetization.
1. A non-transitory computer-readable recording medium having stored therein a program for causing a computer to execute a process for simulating a magnetic substrate, the process comprising:
calculating, when magnetization of each area changes, an effective magnetic field for each area that is obtained by dividing any given element among a group of elements forming the magnetic substrate, the effective magnetic field including a magnetic field generated from magnetic energy in each area and a rate of change of magnetization working in a direction inhibiting change in the average magnetization of the areas based on:
H
i
=
-
∂
E
tot
(
r
i
)
∂
M
i
-
β
∂
M
_
∂
t
wherein H i is the effective magnetic field of sub-element ci, E tot is the total magnetic energy, r i is a position vector of sub-element ci, M i is magnetization of sub element ci, [Mav1 is the average magnetization, and β is a constant;
obtaining magnetization after the direction inhibiting change by calculating the amount of change of magnetization based on the effective magnetic field calculated for each area and magnetization of each area;
judging whether magnetization in the given element converges based on magnetization of each area before the direction inhibiting change and the magnetization after the direction inhibiting change; and
storing a pair of the average magnetization of the areas and the static magnetic field that is based on the average magnetization to a storage device when magnetization in the given element is judged to converge.
2. The computer-readable recording medium according to claim 1 , wherein the calculating of the effective magnetic field includes calculating the effective magnetic field for each area when the magnetization of each area changes and based on the magnetic field generated by magnetic energy in the areas, the rate of change of the magnetization, and inertia bringing about the magnetic field in a direction that keeps the rate of change of the magnetization constant.
3. The computer-readable recording medium according to claim 1 , wherein the process further comprises calculating hysterisis loss, which is calculated and from the area of a hysterisis curve obtained from a group of combinations of the average magnetization and the static magnetic field stored in the storage device.
4. A simulation apparatus that simulates a magnetic substrate, the simulation apparatus comprising:
a processor that:
calculates, when magnetization of each area changes, an effective magnetic field for each area that is obtained by dividing any given element among a group of elements forming the magnetic substrate, the effective magnetic field including a magnetic field generated from magnetic energy in each area and a rate of change of magnetization working in a direction inhibiting change in the average magnetization of the areas based on:
H
i
=
-
∂
E
tot
(
r
i
)
∂
M
i
-
β
∂
M
_
∂
t
wherein H i is the effective magnetic field of sub-element ci, E tot is the total magnetic energy, r i is a position vector of sub-element ci, M i is magnetization of sub-element ci, [Mav] is the average magnetization, and β is a constant,
obtains magnetization after the direction inhibiting change by calculating the amount of change of magnetization based on the effective magnetic field calculated for each area and magnetization of each area,
judges whether magnetization in the given element converges based on magnetization of each area before the direction inhibiting change and the magnetization after the direction inhibiting change, and
stores a pair of the average magnetization of the areas and the static magnetic field that is based on the average magnetization to a storage device when magnetization in the given element is judged to converge.
5. A simulation method that is for a magnetic substrate and executed by a computer, the simulation method comprising:
calculating, when magnetization of each area changes an effective magnetic field for each area that is obtained by dividing any given element among a group of elements forming the magnetic substrate, the effective magnetic field including a magnetic field generated from magnetic energy in each area and a rate of change of magnetization working in a direction inhibiting change in the average magnetization of the areas based on:
H
i
=
-
∂
E
tot
(
r
i
)
∂
M
i
-
β
∂
M
_
∂
t
wherein H i is the effective magnetic field of sub-element ci, E tot is the total magnetic energy, r i is a position vector of sub-element ci, M i is magnetization of sub-element ci, [Mav] is the average magnetization, and β is a constant;
obtaining magnetization after the direction inhibiting change by calculating the amount of change of magnetization based on the effective magnetic field calculated for each area and magnetization of each area;
judging whether magnetization in the given element converges based on magnetization of each area before the direction inhibiting change and the magnetization after the direction inhibiting change; and
storing a pair of the average magnetization of the areas and the static magnetic field that is based on the average magnetization to a storage device when magnetization in the given element is judged to converge.