Analysis method, program for performing the method, and information processing apparatus

An information processing apparatus for analyzing discharge comprising:

• a calculating unit configured to, when discharge simulation is performed at a node i on a first surface and a node j on a second surface of a meshed simulation model, incorporate
• a formula indicating relationship between potentials φi′ and φj′ at the node i and the node j after the discharge and a discharge starting voltage between the node i and the node j Vth(ij) as follows:
• φi′−φj′=α Vth(ij), where α denotes a coefficient indicating a ratio to the discharge starting voltage between the node i and the node j, and
• a formula indicating relationship between a charge Qi at the node i and a charge Qj at the node j before the discharge, and a charge Qi′ at the node i and a charge Qj′ at the node j after the discharge and an amount of charge movement Qij as follows:
• {
• Q
• i
• ′
• =
• Q
• i
• -
• Δ
• ⁢
• ⁢
• Q
• ij
• Q
• j
• ′
• =
• Q
• j
• +
• Δ
• ⁢
• ⁢
• Q
• ij
• into a formula given by discretizing a Poisson equation indicating relationship between a potential φ and a charge Q as follows:
• [
• K
• 11
• ⋯
• K
• 1
• ⁢
• ⁢
• m
• ⋮
• ⋰
• ⋮
• K
• m
• ⁢
• ⁢
• 1
• ⋯
• K
• mm
• ]
• ⁢
• {
• ϕ
• 1
• ⋮
• ϕ
• m
• }
• =
• {
• Q
• 1
• ⋮
• Q
• m
• }
• ,
• so as to calculate the amount of charge movement Qij due to the discharge and potential distribution after the discharge {φ1′, . . . φi′, . . . φj′, . . . φm};
• and
• a storing unit configured to store information about the amount of charge movement Qij and the potential distribution after the discharge {φ1′, . . . φi′, . . . φj′, . . . φm} calculated by the calculating unit.

An analysis method of analyzing discharge in an information processing apparatus having a readable-writable storage device,

• wherein, when discharge simulation is performed at a cell i on a first surface and a cell j on a second surface of a meshed simulation model, a calculating unit in the information processing apparatus incorporates
• a formula indicating relationship between potentials φi′ and φj′ at the cell i and the cell j after the discharge and a discharge starting voltage between the cell i and the cell j Vth(ij) as follows:
• φi′−φj′=α Vth(ij), where α denotes a coefficient indicating a ratio to the discharge starting voltage between the cell i and the cell j, and
• a formula indicating relationship between a charge Qi at the cell i and a charge Qj at the cell j before the discharge, and a charge Qi′ at the cell i and a charge Qj′ at the cell j after the discharge and an amount of charge movement Qij as follows:
• {
• Q
• i
• ′
• =
• Q
• i
• -
• Δ
• ⁢
• ⁢
• Q
• ij
• Q
• j
• ′
• =
• Q
• j
• +
• Δ
• ⁢
• ⁢
• Q
• ij
• into a formula given by discretizing a Poisson equation indicating relationship between a potential φ and a charge Q as follows:
• [
• M
• 11
• ⋯
• M
• 1
• ⁢
• ⁢
• m
• ⋮
• ⋰
• ⋮
• M
• m
• ⁢
• ⁢
• 1
• ⋯
• M
• mm
• ]
• ⁢
• {
• ϕ
• 1
• ⋮
• ϕ
• m
• }
• =
• {
• Q
• 1
• ⋮
• Q
• m
• }
• ,
• so as to calculate and store in the storage device the amount of charge movement Qij due to the discharge and potential distribution after the discharge {φ1′, . . . φi′, . . . φj′, . . . φm}.

An information processing apparatus for analyzing discharge comprising:

• a calculating unit configured to, when discharge simulation is performed at a cell i on a first surface and a cell j on a second surface of a meshed simulation model, incorporate
• a formula indicating relationship between potentials φi′ and φj′ at the cell i and the cell j after the discharge and a discharge starting voltage between the cell i and the cell j Vth(ij) as follows:
• φi′−φj′=α Vth(ij), where α denotes a coefficient indicating a ratio to the discharge starting voltage between the cell i and the cell j, and
• a formula indicating relationship between a charge Qi at the cell i and a charge Qj at the cell j before the discharge, and a charge Qi′ at the cell i and a charge Qj′ at the cell j after the discharge and an amount of charge movement Qij as follows:
• {
• Q
• i
• ′
• =
• Q
• i
• -
• Δ
• ⁢
• ⁢
• Q
• ij
• Q
• j
• ′
• =
• Q
• j
• +
• Δ
• ⁢
• ⁢
• Q
• ij
• into a formula given by discretizing a Poisson equation indicating relationship between a potential φ and a charge Q as follows:
• [
• M
• 11
• ⋯
• M
• 1
• ⁢
• ⁢
• m
• ⋮
• ⋰
• ⋮
• M
• m
• ⁢
• ⁢
• 1
• ⋯
• M
• mm
• ]
• ⁢
• {
• ϕ
• 1
• ⋮
• ϕ
• m
• }
• =
• {
• Q
• 1
• ⋮
• Q
• m
• }
• ,
• so as to calculate the amount of charge movement Qij due to the discharge and potential distribution after the discharge {φ1′, . . . φi′, . . . φj′, . . . φm};
• and
• a storing unit configured to store information about the amount of charge movement Qij and the potential distribution after the discharge {φ1′, . . . φi′, . . . φj′, . . . m} calculated by the calculating unit.