Computing method of motor model, motor simulation method, motor simulation apparatus, motor-model computing program, simulation method and simulation program

A computing method of motor model, the computing method using a motor model which is defined by an equation on a stationary coordinate system, the stationary coordinate system specifying a state of an alternate-current motor which comprises a rotor for generating a magnetic-field flux φr and a stator with multiple-phase armature coils wound therearound, said equation including at least a multiple-phase armature current i and a multiple-phase armature voltage U as variables thereof, and the computing method being a computing method of motor model computing another values of said variables by feeding numerical values into said predetermined variables, the computing method comprising the step of forming the motor model using:

• a first equation, which specifies a quantitative relationship between a current magnetic flux φs, which is an armature-coil flux linkage resulting from the multiple-phase armature current i, a predetermined function whose variable is a rotary angle θ and the multiple-phase armature voltage U;
• and
• a second equation, which specifies a quantitative relationship between the current magnetic flux φs, said predetermined function and the multiple-phase armature current i.

A motor-model computing program being a motor-model computing program for computing a motor model, the motor model being defined by an equation on a stationary coordinate system, the stationary coordinate system specifying a state of an alternate-current motor which comprises a rotor for generating a magnetic-field flux φr and a stator with multiple-phase armature coils wound therearound, said equation including at least a multiple-phase armature current and a multiple-phase armature voltage U as variables thereof, the motor-model computing program comprising the steps of:

• computing a matrix λ(θ), being constituted of a function whose variable is a rotary angle θ, and additionally being a function which is equal to the inverse matrix of an inductance matrix L(θ) which specifies a relationship between a current magnetic flux φs, which is an armature-coil flux linkage resulting from the multiple-phase armature current i, and the multiple-phase armature current i;
• and
• obtaining values of desirable variables of said equation by feeding the value of said matrix λ(θ) into the equation as the value of the inverse matrix of the inductance matrix L(θ), which is included in said equation.

A motor-model computing program being a motor-model computing program for computing a motor model, the motor model being defined by an equation on a stationary coordinate system, the stationary coordinate system specifying a state of an alternate-current motor which comprises a rotor for generating a magnetic-field flux φr and a stator with multiple-phase armature coils wound therearound, said equation including at least a multiple-phase armature current and a multiple-phase armature voltage U as variables thereof, the motor-model computing program comprising the steps of:

• computing a current magnetic flux φs, which is an armature-coil flux linkage resulting from the multiple-phase armature current i, by means of feeding a predetermined function, whose variable is a rotary angle θ, and a value of the multiple-phase armature voltage U into a first equation, which specifies a quantitative relationship between the current magnetic flux φs, said predetermined function and the multiple-phase armature voltage U;
• and
• computing the multiple-phase armature current i by means of feeding the current magnetic flux φs and a value of said predetermined function into a second equation, which specifies a quantitative relationship between the current magnetic flux φs, said predetermined function and the multiple-phase armature current i.

A simulation method being a simulation method of periodically executing a computing step of computing a state of an object model for imitating an operation of a predetermined objects the objective model being defined by an equation which includes the inverse matrix of a predetermined matrix L(θ) being a function changing periodically, thereby simulating the state of said objective model in real time, the state being defined by said objective model,

• the simulation method comprising the step of:
• defining a matrix λ(θ), which is a function being equal to said inverse matrix, and computing the respective elements of said matrix λ(θ), thereby performing the computation of the inverse matrix of said matrix L(θ).