Method of controlling motor and device of controlling motor
10715077 ยท 2020-07-14
Assignee
Inventors
- Ken Itou (Kanagawa, JP)
- Kohei Murota (Kanagawa, JP)
- Tomoaki MORI (Kanagawa, JP)
- Naoki Takahashi (Kanagawa, JP)
- Hiromichi KAWAMURA (Kanagawa, JP)
Cpc classification
H02P29/64
ELECTRICITY
H02P31/00
ELECTRICITY
H02P29/40
ELECTRICITY
International classification
H02P29/64
ELECTRICITY
H02P31/00
ELECTRICITY
H02P29/40
ELECTRICITY
Abstract
A method of controlling a motor having windings of a plurality of phases includes an estimation step of calculating a current vector norm from d-axis current and q-axis current flowing in the motor, calculating power loss from the current vector norm and the entire heat resistance of the motor, and estimating the maximum temperature of the windings of the plurality of phases based on the power loss and a transfer function having first or higher-order transfer characteristics, in the case where the motor is in a low rotation state, and a limiting step of limiting input power based on the maximum temperature estimated in the estimation step.
Claims
1. A method of controlling a motor having windings of a plurality of phases, the method comprising: an estimation step of calculating a current vector norm from d-axis current and q-axis current flowing in the motor, calculating power loss from the current vector norm and the entire heat resistance of the motor, and estimating the maximum temperature of the windings of the plurality of phases based on the power loss and a transfer function for the power loss, the transfer function having first or higher-order transfer characteristics, in the case where the motor is in a low rotation state; and a limiting step of limiting input power based on the maximum temperature estimated in the estimation step.
2. The method of controlling the motor according to claim 1, wherein the low rotation state includes a state in which the motor is locked.
3. The method of controlling the motor according to claim 1, further comprising a measurement step of measuring the temperatures of some of windings of the plurality of phases, wherein the estimation step includes starting the estimation of the maximum temperature with the temperature measured in the measurement step as an initial value in the case where the motor transitions to the low rotation state.
4. The method of controlling the motor according to claim 3, further comprising a correction step of setting a correction value that starts at the maximum temperature estimated in the estimation step and converges to a temperature measured in the measurement step from when the motor transitions to a state other than the low rotation state and correcting the initial value by using the correction value at the start of the estimation step.
5. The method of controlling the motor according to claim 4, wherein the correction value converges according to heat dissipation characteristics of the motor in the correction step.
6. The method of controlling the motor according to claim 3, wherein the limiting step includes: limiting power applied to the motor based on the maximum temperature estimated in the estimation step in the case where the motor is in the low rotation state, and limiting power applied to the motor based on the temperature measured in the measurement step in the case where the motor is not in the low rotation state.
7. The method of controlling the motor according to claim 1, wherein the estimation step includes: a first estimation step of estimating a first estimated temperature independent of the motor rotation state in accordance with the input power, a second estimation step of estimating an increase temperature, which is caused by that the motor is in the low rotation state, for the first estimated temperature, and an addition step of adding the first estimated temperature and the increase temperature to each other and defining a result of the addition as the maximum temperature.
8. The method of controlling the motor according to claim 7, wherein the second estimation step includes: starting estimation in accordance with the input power for the increase temperature in the case where the motor transitions to the low rotation state, and starting estimation in accordance with the input of zero for the increase temperature in the case where the motor transitions to a state other than the low rotation state.
9. A method of controlling a motor having windings of a plurality of phases, the method comprising: an estimation step of estimating the maximum temperature of the windings having the plurality of phases, in accordance with the magnitude of input power that is input to the motor, in the case where the motor is in a low rotation state; a limiting step of limiting the input power based on the maximum temperature estimated by the estimation unit; and a measurement step of measuring the temperatures of some of windings of the plurality of phases, wherein the estimation step includes starting the estimation of the maximum temperature with the temperature measured in the measurement step as an initial value in the case where the motor transitions to the low rotation state.
10. The method of controlling the motor according to claim 9, further comprising: a correction step of setting a correction value that starts at the maximum temperature estimated in the estimation step and converges to a temperature measured in the measurement step from when the motor transitions to a state other than the low rotation state and correcting the initial value by using the correction value at the start of the estimation step.
11. The method of controlling the motor according to claim 10, wherein the correction value converges according to heat dissipation characteristics of the motor in the correction step.
12. The method of controlling the motor according to claim 9, wherein the limiting step includes: limiting power applied to the motor on the basis of the maximum temperature estimated in the estimation step in the case where the motor is in the low rotation state, and limiting the power applied to the motor on the basis of the temperature measured in the measurement step in the case where the motor is not in the low rotation state.
13. A method of controlling a motor having windings of a plurality of phases, the method comprising: an estimation step of estimating the maximum temperature of the windings of the plurality of phases, in accordance with the magnitude of input power that is input to the motor, in the case where the motor is in a low rotation state; and a limiting step of limiting the input power on the basis of the maximum temperature estimated in the estimation step, wherein the estimation step includes: a first estimation step of estimating a first estimated temperature independent of the motor rotation state in accordance with the input power, a second estimation step of estimating an increase temperature, which is caused by that the motor is in the low rotation state, for the first estimated temperature, and an addition step of adding the first estimated temperature and the increase temperature to each other and defining a result of the addition as the maximum temperature.
14. The method of controlling the motor according to claim 13, wherein the second estimation step includes: starting estimation in accordance with the input power for the increase temperature in the case where the motor transitions to the low rotation state, and starting estimation in accordance with the input of zero for the increase temperature in the case where the motor transitions to a state other than the low rotation state.
15. A device of controlling a motor having windings of a plurality of phases, the device comprising: an estimation unit that calculates a current vector norm from d-axis current and q-axis current flowing in the motor, calculates power loss from the current vector norm and the entire heat resistance of the motor, and estimates the maximum temperature of the windings of the plurality of phases on the basis of the power loss and a transfer function for the power loss, the transfer function having first- or higher-order transfer characteristics, in the case where the motor is in a low rotation state, and a limiting unit that limits input power to the motor on the basis of the maximum temperature estimated by the estimation unit.
Description
BRIEF DESCRIPTION OF DRAWINGS
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DETAILED DESCRIPTION
(22) Hereinafter, embodiments of the present invention will be described with reference to appended drawings. In embodiments of the invention, numerous specific details are set forth in order to provide a more thorough understanding of the invention. However, it will be apparent to one of ordinary skill in the art that the invention may be practiced without these specific details. In other instances, well-known features have not been described in detail to avoid obscuring the invention.
First Embodiment
(23) A motor control device according to a first embodiment of the present invention will be described.
(24)
(25) The following describes a detailed configuration of the motor control device 1. The motor control device 1 includes a controller, not illustrated, which performs programmed processes. Processes of respective blocks are stored as programs in the controller, and the process of each block is performed by executing the corresponding program.
(26) In the low rotation region determination unit 3, a rotation speed calculator 15 inputs a rotation speed detection value N indicating the rotation speed of the motor 2. The low rotation region determination unit 3 determines whether the motor 2 is in a low rotation state or in a high rotation state on the basis of the input value and outputs a rotation region determination result indicating a result of the determination to a torque command value computation unit 6. The details of the low rotation region determination unit 3 will be described later with reference to
(27) The winding temperature estimation unit 4 receives inputs of a d-axis current estimated value i.sub.d_est and a q-axis current estimated value i.sub.q_est from a torque control unit 7 and receives an input of a reference temperature T.sub.base from a host system not illustrated. The winding temperature estimation unit 4 computes an estimated maximum temperature T.sub.est on the basis of the input values. Instead of the d-axis current estimated value i.sub.d_est and the q-axis current estimated value i.sub.q_est, a d-axis current value i.sub.d and a q-axis current value i.sub.q, which are output from the UVW phase.fwdarw.dq-axis converter 13, may be used. The details of the winding temperature estimation unit 4 will be described later with reference to
(28) A limit modulus computation unit 5 calculates a torque limit modulus R.sub.lim, which is used to limit the drive torque to the motor 2 in accordance with the estimated maximum temperature T.sub.est. The details of the processing of the limit modulus computation unit 5 will be described later with reference to
(29) The torque command value computation unit 6 receives an input of a rotation region determination result and inputs of a torque command value T* and a torque limit modulus R.sub.lim from the host system not illustrated. The torque command value T* is determined in accordance with an opening of an accelerator pedal of a vehicle or the like. Additionally, the torque command value computation unit 6 previously stores a torque upper limit value Trq.sub.lim_upper and a torque lower limit value Trq.sub.lim_lower, which determine a range in which the torque is settable. The torque command value computation unit 6 computes a final torque command value T*.sub.fin on the basis of the input values and the stored values. The details of the processing of the torque command value computation unit 6 will be described later with reference to
(30) The torque control unit 7 includes a current vector control unit, which controls a current vector, and a voltage phase control unit, which controls a voltage phase. The torque control unit 7 selects the current vector control or the voltage phase control in accordance with the inputs of the final torque command value T*.sub.fin, the battery voltage detection value V.sub.dc, the rotation speed detection value N, and the d-axis current value i.sub.d and q-axis current value i.sub.q output from the UVW phase.fwdarw.dq-axis converter 13. Additionally, the torque control unit 7 computes a d-axis voltage command value v*.sub.d and a q-axis voltage command value v*.sub.q by a selected control method and outputs these voltage command values to a dq axis.fwdarw.UVW phase converter 8. The details of the torque control unit 7 will be described later with reference to
(31) The dq axis.fwdarw.UVW phase converter 8 converts the d-axis voltage command value v*.sub.d and the q-axis voltage command value v*.sub.q to three-phase voltage command values v.sub.u*, v.sub.v*, and v.sub.w* on the basis of an electric angle detection value of the motor 2 according to the following expression and then outputs the converted voltage command values to a PMW converter 9.
(32)
(33) The PMW converter 9 outputs power element drive signals D.sub.uu*, D.sub.ui*, D.sub.vu*, D.sub.vl*, D.sub.wu*, and D.sub.wl* of an inverter 11 on the basis of the three-phase voltage command values v.sub.u*, v.sub.v*, and v.sub.w* and a battery voltage detection value V.sub.dc output from a voltage sensor 10A disposed on the side of the battery 10.
(34) The inverter 11 performs operations based on the power element drive signals generated by the PMW converter 9 to apply the three-phase voltages v.sub.u, v.sub.v, and v.sub.w to the motor 2.
(35) The current detector 12 is provided on wiring of at least two phases in the three-phase wiring between the motor control device 1 and the motor 2. For example, the current detector 12 detects a U-phase current value i.sub.u and a V-phase current value i.sub.v.
(36) The UVW phase.fwdarw.dq-axis converter 13 performs conversion based on the electric angle detection value for the U-phase current value i.sub.u and the V-phase current value i.sub.v according to the following expression to calculate the d-axis current value i.sub.d and the q-axis current value i.sub.q and outputs these current values to the torque control unit 7.
(37)
(38) The rotor position sensor 14 is disposed on the side of the motor 2. Upon detecting the electric angle detection value of the motor 2, the rotor position sensor 14 outputs the detection value to the rotation speed calculator 15. The rotor position sensor 14 is an example of a configuration for performing a measurement step.
(39) The rotation speed calculator 15 finds the amount of change obtained at predetermined intervals with respect to the electric angle detection value to compute the rotation speed detection value N. The rotation speed calculator 15 outputs the rotation speed detection value N to the low rotation region determination unit 3, the winding temperature estimation unit 4, and the torque control unit 7.
(40) The following describes a part of the configuration described with reference to
(41)
(42) The low rotation region determination unit 3 includes an absolute value computation unit 31 and a rotation region determination unit 32.
(43) The absolute value computation unit 31 finds a rotation speed absolute value N.sub.abs, which is an absolute value of the input rotation speed detection value N, and then outputs the rotation speed absolute value N.sub.abs to the rotation region determination unit 32.
(44) The rotation region determination unit 32 performs determination based on the following expression with respect to the rotation speed absolute value N.sub.abs and then determines whether or not the motor 2 is in the low rotation state.
[MATH. 3]
N.sub.abs<N.sub.th_low: Lo(Low rotation region)
N.sub.absN.sub.th_low:(High rotation region)(3)
(45) Specifically, the rotation region determination unit 32 outputs Lo indicating a low rotation region as a rotation region determination result if the rotation speed absolute value N.sub.abs is lower than the low rotation threshold value N.sub.th_low. On the other hand, if the rotation speed absolute value N.sub.abs is equal to or greater than the low rotation threshold value N.sub.th_low, the rotation region determination unit 32 outputs Hi indicating a high rotation region. At the low rotation threshold value N.sub.th_low, the rotation speed of the motor 2 is low and the amount of electricity supplied to the windings of some phases is high. The low rotation region includes a state in which the motor 2 is locked,
(46)
(47) A current vector norm computation unit 41 calculates a current vector norm value I.sub.a.sup.2 according to the following expression on the basis of the inputs of the d-axis current estimated value i.sub.d_est and the q-axis current estimated value i.sub.q_est. The current vector norm computation unit 41 then outputs the current vector norm value I.sub.a.sup.2 to a loss computation unit 42.
[MATH. 4]
I.sub.a.sup.2=I.sub.d_est.sup.2+I.sub.q_est.sup.2(4)
(48) The loss computation unit 42 calculates a power loss P.sub.loss by multiplying the current vector norm value I.sub.a.sup.2 by a heat resistance R.sub.loss of the entire motor 2 and outputs the calculated power loss P.sub.loss to a temperature computation unit 43. The power loss P.sub.loss indicates an input power input to the motor 2 and includes not only energy used for rotationally driving the motor 2, but also energy of heat loss.
(49) The temperature computation unit 43 is a heat circuit model. This heat circuit model is used in the case where the motor 2 is in a low rotation region and is indicated by a transfer function G(s) with an output of an estimated changed temperature T.sub.est, which is the maximum temperature rise in the three-phase windings of the motor 2, for the input of the power loss P.sub.loss. The temperature computation unit 43 performs computation based on the transfer function G(s) for the power loss P.sub.loss to calculate the estimated changed temperature T.sub.est. The transfer function G(s) has first- or higher-order dynamic characteristics.
(50) An adder 44 adds the reference temperature T.sub.base to the estimated changed temperature T.sub.est to calculate the estimated maximum temperature T.sub.est of a winding having a phase that reaches the highest temperature among the windings of the plurality of phases of the motor 2.
(51)
(52) The torque limit modulus R.sub.lim includes a torque limitation lower limit value R.sub.min capable of preventing insulation deterioration caused by a high temperature of windings. Furthermore, the motor 2 is able to prevent insulation deterioration at a certain temperature by limitation with the torque limitation lower limit value R.sub.min even if the estimated maximum temperature T.sub.est increases, and the lower limit of the temperature is defined as a temperature threshold value T.sub.min.
(53) Therefore, in the case where the estimated maximum temperature T.sub.est exceeds the temperature threshold value T.sub.min, the current is limited by using the torque limitation lower limit value R.sub.min. Further, in the case where the estimated maximum temperature T.sub.est is between the temperature threshold value T.sub.100 and the temperature threshold value T.sub.min, the torque limit modulus R.sub.lim is set so as to decrease as the temperature increases.
(54)
(55) A multiplier 61 multiplies the torque upper limit value Trq.sub.lim_upper by the torque limit modulus Rum to calculate a limited torque upper limit value Trq_.sub.upper. Moreover, a multiplier 62 multiplies the torque lower limit value Trq.sub.lim_lower by the torque limit modulus R.sub.lim to calculate a limited torque lower limit value Trq_.sub.lower. A comparator 63 compares the limited torque lower limit value Trq_.sub.lower with the torque command value T* and outputs a larger value thereof to a comparator 64. The comparator 64 compares an output value from the comparator 63 with the limited torque upper limit value Trq_.sub.upper and outputs a smaller value thereof to a switch 65.
(56) At the same time, a comparator 66 compares the torque command value T* with the torque lower limit value Trq.sub.lim_lower and outputs a greater value thereof to a comparator 67. The comparator 67 compares an output value from the comparator 66 with the torque upper limit value Trq.sub.lim_upper and outputs a smaller value thereof to the switch 65.
(57) The switch 65 outputs either of the outputs from the comparator 64 and the comparator 67 as a final torque command value T*.sub.fin on the basis of a rotation region determination result output from the low rotation region determination unit 3.
(58) Specifically, in the case where the rotation region determination result is Lo (low rotation region), the switch 65 outputs the output from the comparator 64 as the final torque command value T*.sub.fin. Thereby, the torque command value T* is limited by the limited torque upper limit value Trq_.sub.upper and the limited torque lower limit value Trq_.sub.lower for which the torque limit modulus R.sub.lim is considered. This reduces the amount of heat generation of the motor 2, thereby preventing the insulation deterioration of the windings.
(59) On the other hand, in the case where the rotation region determination result is Hi (high rotation region), the switch 65 outputs the output from the comparator 67 as the final torque command value T*.sub.fin. Therefore, the torque command value T* is limited by the torque upper limit value Trq.sub.lim_upper and the torque lower limit value Trq.sub.lim_lower for which the torque limit modulus R.sub.lim is not considered.
(60)
(61) The torque control unit 7 includes a current vector control unit 71, a voltage phase control unit 72, a control switching determination unit 73, and a control mode switching unit 74. In response to a result of determination by the control switching determination unit 73, the control mode switching unit 74 controls the motor 2 by using an output from the current vector control unit 71 or the voltage phase control unit 72.
(62) The current vector control unit 71 receives inputs of the final torque command value T*.sub.fin, the rotation speed detection value N, the battery voltage detection value V.sub.dc, the d-axis current estimated value i.sub.d_est, and the q-axis current estimated value i.sub.q_est. The current vector control unit 71 calculates current vector control voltage command values v*.sub.di and v*.sub.qi for use in current vector control on the basis of the above input values and outputs these command values to the control mode switching unit 74.
(63) The voltage phase control unit 72 receives inputs of the final torque command value T*.sub.fin, the rotation speed detection value N, the battery voltage detection value V.sub.dc, the d-axis current estimated value i.sub.d_est, and the q-axis current estimated value i.sub.q_est. The voltage phase control unit 72 calculates voltage phase control voltage command values v*.sub.dv and v*.sub.qv for use in voltage phase control on the basis of the above input values and outputs these command values to the control mode switching unit 74.
(64) The control switching determination unit 73 determines which of the current vector control and the voltage phase control is used to control the motor 2. In the case where the motor 2 rotates at a low speed or in a normal speed range, the current vector control is selected. On the other hand, in the case where the motor 2 rotates at high speed and field weakening control is performed, the voltage phase control is selected. The control switching determination unit 73 outputs a switching determination flag indicating a result of the selection to the control mode switching unit 74.
(65) In the case where the switching determination flag indicates the current vector control, the control mode switching unit 74 outputs the current vector control voltage command values v*.sub.di and v*.sub.qi output from the current vector control unit 71 as voltage command values v*.sub.d and v*.sub.q.
(66) On the other hand, in the case where the switching determination flag indicates the voltage phase control, the control mode switching unit 74 outputs the voltage phase control voltage command values v*.sub.dv and v*.sub.qv output from the voltage phase control unit 72 as voltage command values v*.sub.d and v*.sub.q.
(67) The following describes the details of the configurations of the current vector control unit 71 and the voltage phase control unit 72.
(68)
(69) The current vector control unit 71 includes a current command value computation unit 711 that calculates a command value for use in generating a rotation torque appropriate to the final torque command value T*.sub.fin and a non-interference voltage computation unit 712 that calculates a command value for use in reducing interference of the current to a magnetic flux.
(70) First, the calculation of the current command value is described.
(71) The current command value computation unit 711 calculates the current command value i*.sub.d on the basis of the inputs of the final torque command value T*.sub.fin, the rotation speed detection value N, and the battery voltage detection value V.sub.dc by using a previously stored table and then outputs the current command value i*.sub.d to a subtractor 713.
(72) The subtractor 713 subtracts the d-axis current estimated value i.sub.d_est from the current command value i*.sub.d and outputs a result of the subtraction to the PI computation unit 714.
(73) The PI computation unit 714 finds a d-axis voltage command value v.sub.di by using the following expression to PI-amplify a deviation between the current command value i*.sub.d and the d-axis current estimated value i.sub.d_est. In this expression, it is assumed that K.sub.pd and K.sub.id indicate a d-axis proportional gain and a d-axis integral gain, respectively.
(74)
(75) The PI computation unit 714 then outputs the d-axis voltage command value v.sub.di to an adder 715.
(76) The following describes the calculation of a non-interference component.
(77) The non-interference voltage computation unit 712 calculates a d-axis voltage command value v*.sub.d_dcpl on the basis of the inputs of the final torque command value T*.sub.fin, the rotation speed detection value N, and the battery voltage detection value V.sub.dc by using a previously stored table. The non-interference voltage computation unit 712 then outputs the voltage command value v*.sub.d to a filter 716.
(78) The filter 716, which has the characteristics of a transfer function of the following expression, performs current model response filtering for the voltage command value v*.sub.d_dcpl, which is an input value, and then outputs the filtered value as a d-axis non-interference voltage value v*.sub.d_dcpl_flt to the adder 715.
(79)
(80) The adder 715 adds the d-axis voltage command value v.sub.di to the d-axis non-interference voltage value v*.sub.d_dcpl_flt. As a result, the adder 715 calculates a current vector control voltage command value v*.sub.di as represented by the following expression.
[MATH. 7]
v*.sub.di=v.sub.d_dcpl_flt+v.sub.di(7)
(81)
(82) A voltage command value computation unit 721 calculates a voltage amplitude command value V.sub.a* and a voltage phase command value *.sub.ff on the basis of the inputs of the final torque command value T*.sub.fin, the rotation speed detection value N, and the battery voltage detection value V.sub.dc by using a previously stored table. The voltage command value computation unit 721 outputs the voltage amplitude command value V.sub.a* to a vector conversion unit 722 and outputs the voltage phase command value *.sub.ff to an adder 723.
(83) A block 724, which includes a filter having the same characteristics as those of the current model response represented by expression (6), filters the input final torque command value T*.sub.fin, and calculates a norm torque T.sub.ref as represented by the following expression. The block 724 then outputs the norm torque T.sub.ref to a subtractor 725.
(84)
(85) A torque estimation unit 726 calculates an estimated torque T.sub.cal on the basis of the input d-axis current estimated value i.sub.d_est and q-axis current estimated value i.sub.q_est and outputs the estimated torque T.sub.cal to the subtractor 725. Incidentally, the estimation processing by the torque estimation unit 726 is able to be represented by the following expression. In this expression, L.sub.d and L.sub.q indicate a d-axis inductance and a q-axis inductance, respectively, and .sub.a indicates a phase difference between voltage and current. Moreover, p indicates a predetermined constant.
[MATH. 9]
T.sub.cal=p{.sub.a+(L.sub.dL.sub.q).Math.i.sub.d}i.sub.q(9)
(86) The subtractor 725 subtracts the estimated torque T.sub.cal from the norm torque T.sub.ref and outputs a result of the subtraction to a PI computation unit 727.
(87) The PI computation unit 727 PI-amplifies a deviation between the norm torque T.sub.ref and the estimated torque T.sub.cal calculated by the subtractor 725 to calculate a voltage phase correction value *.sub.fb. Specifically, the PI computation unit 727 performs the computation of the following expression. The PI computation unit 727 then outputs a result of the computation to the adder 723.
(88)
(89) The adder 723 adds the voltage phase command value *.sub.ff to the voltage phase correction value *fb and outputs a result of the addition, *.sub.fin to the vector conversion unit 722. The processing by the adder 723 is able to be represented by the following expression.
[MATH. 11]
*.sub.fin=*.sub.ff+*.sub.fb(11)
(90) The vector conversion unit 722 converts the input voltage amplitude command value V.sub.a* and final voltage phase command value *.sub.fin to dq-axis components by using the following expression. The vector conversion unit 722 then outputs a result of the conversion as the voltage phase control voltage command values v*.sub.dv and v*.sub.qv.
(91)
(92)
(93) The estimated maximum temperature T.sub.est is predicted to be higher than the respective phase winding temperatures T.sub.u, T.sub.v, and T.sub.w. Therefore, even in the case where the motor 2 is in a low rotation region and, for example, is locked, by which the current is applied only to the U-phase winding to cause the temperatures to be uneven in the motor 2, the estimated maximum temperature T.sub.est exceeds the U-phase winding temperature T.sub.u in the motor 2.
(94) Therefore, the estimated maximum temperature T.sub.est is estimated so as to exceed the maximum temperature of the winding having a phase that reaches the highest temperature among the windings of the plurality of phases in the motor 2 in this manner and torque is limited by using the estimated maximum temperature T.sub.est, thereby preventing insulation deterioration caused by heating in all windings in the motor 2.
(95) According to the method of controlling the motor 2 of the first embodiment, one or more of the following advantageous effects may be achieved.
(96) According to the method of controlling the motor 2 of the first embodiment, the transfer function G(s) of the winding temperature estimation unit 4 is able to be used to calculate the temperature that exceeds the maximum temperature of the winding having a phase that reaches the highest temperature among the windings of the plurality of phases in the motor 2 in accordance with the power loss P.sub.loss indicating the power to be input to the motor 2. In other words, the estimated maximum temperature T.sub.est, which is estimated by the winding temperature estimation unit 4, exceeds the temperature of the winding having a phase (for example, the U phase) that reaches the highest temperature among the windings in the motor 2, even in the case where the motor 2 is in a low rotation region including a locked state in which a torque is generated in a state where the motor 2 is substantially not rotationally driven and the current continuously flows into a specific phase (for example, the U phase).
(97) Thus, the torque is limited on the basis of the estimated maximum temperature T.sub.est, by which, even if the motor 2 is in the low rotation region, the winding of any phase does not reach a too high temperature, thereby preventing insulation deterioration.
(98) Furthermore, the motor 2 only needs to be provided with a thermometer for use in measuring the reference temperature T.sub.base, and there is no need to mount temperature sensors on the windings of all phases, thereby enabling a reduction in production cost.
(99) According to the method of controlling the motor 2 of the first embodiment, the low rotation state of the motor 2 includes a state in which the motor 2 is locked. In the case where the motor 2 is locked, the current is continuously applied only to a specific phase in a non-rotation state and therefore the unevenness in temperature in the motor 2 is extremely large. Accordingly, the estimated maximum temperature T.sub.est is estimated so as to exceed the maximum temperature of the windings in the motor 2, thereby preventing the insulation deterioration of the windings.
Second Embodiment
(100) In the first embodiment, description has been made on an example of calculating the estimated changed temperature T.sub.est by using the transfer function G(s) in the winding temperature estimation unit 4. In the second embodiment, description will be made on an example of improving the accuracy of estimation of the estimated changed temperature T.sub.est by the winding temperature estimation unit 4 by initializing the transfer function G(s) at a predetermined timing.
(101)
(102) Being compared with the motor control device 1 of the first embodiment illustrated in
(103)
(104) Being compared with the winding temperature estimation unit 4 of the first embodiment illustrated in
(105) The winding temperature estimation unit 4 performs initialization processing for a filter indicated by the transfer function G(s) used to calculate the estimated changed temperature T.sub.est by using a value obtained by subtracting a reference temperature T.sub.base from a measured temperature T.sub.sen at a timing when the rotation region determination result changes from Hi (high rotation region) to Lo (low rotation region). This processing is equivalent to initializing a filter used for calculation processing of the finally calculated estimated maximum temperature T.sub.est with the measured temperature T.sub.sen. In other words, the processing is equivalent to starting the estimation processing of the estimated maximum temperature T.sub.est with the measured temperature T.sub.sen as an initial value at the timing when the motor 2 transitions to the low rotation state.
(106)
(107) According to this diagram, the dotted line indicates a case where the transfer function G(s) is not initialized at time t.sub.1 when the motor 2 transitions to the low rotation region. In addition, a solid line indicates a case where the transfer function G(s) is initialized at time t.sub.1.
(108) As indicated by the dotted line, unless the transfer function G(s) is initialized at time t.sub.1 when the motor 2 transitions to the low rotation region, the estimation step using the filter of the transfer function G(s) is performed in such a way that a result of the high rotation region is taken over also in the low rotation region. In other words, after the transition to the low rotation region, the estimated maximum temperature T.sub.est takes over a result of the computation in the high rotation region. Thereby, after the transition to the low rotation region, the estimated maximum temperature T.sub.est deviates from the U-phase temperature T.sub.u, which is the maximum temperature in the motor 2, by which the estimation accuracy deteriorates.
(109) Therefore, as indicated by the solid line, the filter of the transfer function G(s) is initialized on the basis of the measured temperature T.sub.sen at time t.sub.1. This prevents the estimated maximum temperature T.sub.est from taking over a result of the estimation in the high rotation state in which the estimation accuracy is low, thereby increasing the estimation accuracy after the transition to the low rotation region.
(110) According to the method of controlling the motor 2 of the second embodiment, one or more of the following advantageous effects may be achieved.
(111) According to the method of controlling the motor 2 of the second embodiment, the filter of the transfer function G(s) of the winding temperature estimation unit 4 is designed in consideration of unevenness in temperature in the motor 2 in order to estimate the estimated maximum temperature T.sub.est in the motor 2 in the low rotation region. Therefore, the detected temperatures T.sub.u, T.sub.v, and T.sub.w are almost equal to each other in the high rotation region in which the temperatures are rather even, by which the estimation accuracy of the estimated maximum temperature T.sub.est is low.
(112) If computation is continued with the filter of the same transfer function G(s) from the high rotation region, the estimated maximum temperature T.sub.est takes over a result of computation in the high rotation region immediately after the transition to the low rotation region, thereby deteriorating the estimation accuracy.
(113) Therefore, the filter of the transfer function G(s) used for calculating the estimated maximum temperature T.sub.est is initialized on the basis of the measured temperature T.sub.sen at the time of transition to the low rotation state. This prevents the estimated maximum temperature T.sub.est from taking over the estimation result in the high rotation state in which the estimation accuracy is low, thereby enabling the estimation accuracy to increase after the transition to the low rotation region.
(114) In other words, for the problem that the estimation accuracy of the estimated maximum temperature T.sub.est is low in the high rotation region, the filter of the transfer function G(s) is initialized using the measured temperature T.sub.sen at the time of transition from the high rotation region to the low rotation region, in other words, the estimation processing of the estimated maximum temperature T.sub.est with the measured temperature T.sub.sen is started, by which the estimated maximum temperature T.sub.est does not take over the calculation result of the high rotation region, thereby improving the estimation accuracy after the transition to the low rotation region.
Third Embodiment
(115) In the second embodiment, description has been made on an example of using the measured temperature T.sub.sen for initializing the filter of the transfer function G(s). In the third embodiment, description will be made on another method of initializing the filter of the transfer function G(s) to further improve the estimation accuracy.
(116)
(117) The initialization temperature computation unit 46 outputs an initialization temperature T.sub.ini in response to the inputs of the measured temperature T.sub.sen and the rotation region determination result. A subtractor 45 subtracts a reference temperature T.sub.base from an initialization temperature T.sub.ini and outputs a result of the subtraction to a temperature computation unit 43. In addition, the subtraction result is used for initializing the filter of the transfer function G(s) in the temperature computation unit 43. For the last time, an adder 44 adds the estimated changed temperature T.sub.est, which is a result of computation by the temperature computation unit 43, to the reference temperature T.sub.base, by which the estimated maximum temperature T.sub.est is calculated. This operation of the winding temperature estimation unit 4 is equivalent to starting an estimation step of the estimated maximum temperature T.sub.est with the initialization temperature T.sub.ini as an initial value.
(118)
(119) The initialization temperature correction unit 461 receives inputs of a convergence value 0 (zero), an estimated maximum temperature T.sub.est [k1] of a previous value, and a rotation region determination result. In addition, an initialization correction temperature value T.sub.trans for use in correcting the initialization temperature T.sub.ini is output on the basis of the input values.
(120) Incidentally, the initialization temperature correction unit 461 includes a filter H(s) computed only in the case where the motor 2 is in the high rotation region, and the initialization correction temperature T.sub.trans is calculated by using the filter H(s). In other words, the initialization correction temperature T.sub.trans changes after the transition to the high rotation region so as to converge from the estimated maximum temperature T.sub.est, which is obtained at the transition, to zero.
(121) The adder 462 then adds the measured temperature T.sub.sen to the initialization correction temperature T.sub.trans to calculate the initialization temperature T.sub.ini and outputs the calculated value to the subtractor 45 illustrated in
[MATH. 13]
T.sub.ini[k]=T.sub.sen[k]+T.sub.trans[k](13)
(122) Thus, the initialization temperature T.sub.ini used for initializing the transfer function G(s) is corrected when the motor 2 transitions to the low rotation state. Specifically, the initialization temperature T.sub.ini is corrected by the initialization correction temperature T.sub.trans with respect to the measured temperature T.sub.sen.
(123) In the third embodiment, the corrected initialization temperature T.sub.ini is used as the estimated maximum temperature T.sub.est in the case where the motor 2 is in the high rotation state. Thereby, for the initialization temperature T.sub.ini, the same estimated maximum temperature T.sub.est is used before and after the transition from the low rotation region to the high rotation region. At the transition from the high rotation region to the low rotation region, the filter of the transfer function G(s) of the temperature computation unit 43 is initialized with the initialization temperature T.sub.ini, and therefore the same initialization temperature T.sub.ini is observed before and after the transition. This enables the change in the estimated maximum temperature T.sub.est to be smoothened.
(124) As described above, the processing of the winding temperature estimation unit 4 is equivalent to starting the estimation processing of the estimated maximum temperature T.sub.est with the measured temperature T.sub.sen as an initial value at the timing when the motor 2 transitions to the low rotation state. In addition, the filter of the transfer function G(s) is used for the estimation processing of the estimated maximum temperature T.sub.est, and the initialization is performed on the basis of the initialization temperature T.sub.ini. Examining the operation of the third embodiment in the equivalent functions, the initialization temperature T.sub.ini is corrected and, at the transition timing to the high rotation state, the correction value starts to converge from the estimated maximum temperature T.sub.est, which is obtained at the transition timing, to the measured temperature T.sub.sen in accordance with the characteristics of the filter H(s).
(125) The filter H(s) is a transfer function having heat dissipation characteristics of the motor 2 and is the same as the transfer function G(s) of a thermal model used for the winding temperature estimation. In addition, the filter H(s) may be a transfer characteristic G(s), which is a dominant part of G(s), as a heat dissipation characteristic.
(126)
(127) It is assumed that much current flows in the U phase until time t.sub.1. Moreover, it is assumed that a temperature sensor 16 is provided on the V-phase winding and that the measured temperature T.sub.sen is equal to the V-phase temperature T.sub.v. Additionally, the solid line indicates the estimated maximum temperature T.sub.est. At time t.sub.2 and thereafter, a dotted line indicates the estimated maximum temperature T.sub.est in the case where the correction in the third embodiment is not performed.
(128) As described above, for the estimated maximum temperature T.sub.est, the initialization temperature T.sub.ini is set between time t.sub.1 and time t.sub.2, which is the time period of the high rotation region. Furthermore, as indicated by a dotted line, in the case where the correction of the third embodiment is not performed, the estimated maximum temperature T.sub.est is initialized with the measured temperature T.sub.sen(T.sub.v) at time t.sub.2 at the time of transition to the low rotation region.
(129) In the case where the time period from time t.sub.1 to time t.sub.2, namely, the time period of the high rotation region is short, temperatures are uneven in the motor 2 at time t.sub.2. Therefore, the G(s) filter used for the low rotation region is designed based on the assumption that the temperatures are uneven in the motor 2, and thus the estimated maximum temperature T.sub.est calculated using the G(s) filter indicates the maximum temperature in the motor 2 more appropriately than the measured temperature T.sub.sen.
(130) Referring to
(131) Therefore, the initialization temperature T.sub.ini is corrected as indicated by the solid line. This causes the initialization temperature T.sub.ini to exceed the temperatures of all phases at time t.sub.2. The filter is then initialized by using the initialization temperature T.sub.ini, by which an appropriate estimated maximum temperature T.sub.est is able to be found.
(132) Incidentally, with the use of the initialization temperature T.sub.ini corrected as the estimated maximum temperature T.sub.est in the high rotation region from time t.sub.1 to time t.sub.2 as described above, the estimated maximum temperature T.sub.est sequentially changes at time t.sub.1 and time t.sub.2 at the transition between rotation regions.
(133) According to the method of controlling the motor 2 of the third embodiment, one or more of the following advantageous effects may be achieved.
(134) According to the method of controlling the motor 2 of the third embodiment, the initialization temperature T.sub.ini used for initializing the transfer function G(s) filter is corrected when the motor 2 transitions to the low rotation region. Specifically, with respect to the correction value used for the correction, correction is started at the transition timing to the high rotation region, and the initialization temperature T.sub.ini is a value that starts at the estimated maximum temperature T.sub.est and converges to the measured temperature T.sub.sen over time.
(135) In the case of a short time period of the high rotation region, the tendency of unevenness in temperature remains in the motor 2 and therefore the estimated maximum temperature T.sub.est is more appropriate for filter initialization than the measured temperature T.sub.sen. On the other hand, in the case of a long time period of the high rotation region, the unevenness in temperature in the motor 2 is eliminated over time and therefore the measured temperature T.sub.sen is more appropriate for filter initialization than the estimated maximum temperature T.sub.est.
(136) Therefore, as in the third embodiment, the initialization temperature T.sub.ini is corrected to a value that converges from the estimated maximum temperature T.sub.est to the measured temperature T.sub.sen. Thereby, in the case of a short time period of the high rotation region, the initialization temperature T.sub.ini is corrected to a value close to the estimated maximum temperature T.sub.est. On the other hand, in the case of a long time period of the high rotation region, the initialization temperature T.sub.ini is corrected to a value close to the measured temperature T.sub.sen.
(137) Accordingly, filter initialization is able to be performed by using an appropriate initialization temperature T.sub.ini, thereby improving the estimation accuracy of the estimated maximum temperature T.sub.est and enabling appropriate current limitation.
(138) According to the method of controlling the motor of the third embodiment, the convergence of the initialization temperature T.sub.ini follows H(s) having the heat dissipation characteristics of the motor 2. Incidentally, in the case of switching between the low rotation region and the high rotation region or in the case of a change in the rotation region after a long lapse of time, the estimation accuracy of the estimated maximum temperature T.sub.est is low and the reliability of the measured temperature T.sub.sen is low, too.
(139) In the case where temperatures are uneven in the motor 2, the estimation accuracy of the estimated maximum temperature T.sub.est is high. On the other hand, in the case where temperatures are even in the motor 2, the measured temperature T.sub.sen is highly reliable. Therefore, the convergence from the estimated maximum temperature T.sub.est to the measured temperature T.sub.sen is caused to follow the heat dissipation characteristics of the motor 2, which determine the temperature change in the motor 2, thereby enabling accurate correction of the initialization temperature T.sub.ini.
Fourth Embodiment
(140) In the first to third embodiments, description has been made on the operations in the case where the motor 2 is in the low rotation region. In the fourth embodiment, description will be made on the operation in the case where the motor 2 is in the high rotation region.
(141)
(142) The switch 47 receives inputs of an addition value output from an adder 44, a rotation region determination result, and a measured temperature T.sub.sen. In the case where the rotation region determination result is Lo (low rotation region), the switch 47 outputs a result of addition output from the adder 44 as an estimated maximum temperature T.sub.est. On the other hand, in the case where the rotation region determination result is Hi (high rotation region), the switch 47 outputs the measured temperature T.sub.sen as the estimated maximum temperature T.sub.est.
(143)
(144) In the case where the fourth embodiment is used in combination with the third embodiment, a corrected initialization temperature T.sub.ini may be used as the estimated maximum temperature T.sub.est to improve the estimation accuracy after the transition as described in the third embodiment, in a certain section after the transition from the low rotation region to the high rotation region.
(145) According to the method of controlling the motor 2 of the fourth embodiment, one or more of the following advantageous effects may be achieved.
(146) According to the method of controlling the motor 2 of the fourth embodiment, in the case where the motor 2 is in the high rotation region, unevenness in temperature is low in the motor 2 in comparison with the case where the motor 2 is in the low rotation region and therefore the measured temperature T.sub.sen is closer to the temperature of the winding of each phase of the motor 2 than the estimated maximum temperature T.sub.est. Therefore, the use of the measured temperature T.sub.sen as the estimated maximum temperature T.sub.est makes it difficult to apply a brake with the current limitation and prevents the insulation deterioration.
Fifth Embodiment
(147) In the first to second or to third embodiments, description has been made on an example of finding the estimated maximum temperature T.sub.est during a transition period between the high rotation region and the low rotation region by using the measured temperature T.sub.sen. In the fifth embodiment, description will be made on an example of finding the estimated maximum temperature T.sub.est during the transition period without using the measured temperature T.sub.sen.
(148)
(149) A first computation unit 431 receives an input of power loss P.sub.loss output from the loss computation unit 42 in
(150)
(151) A switch 432 receives inputs of a zero value, power loss P.sub.loss, and a rotation region determination result. In the case where the rotation region determination result is Hi (high rotation region), the switch 432 outputs zero. In the case where the rotation region determination result is Lo (low rotation region), the switch 432 outputs power loss P.sub.loss.
(152) A second computation unit 433 has a transfer function represented by the following expression and calculates a second temperature rise T.sub.2 in accordance with an input from the switch 432.
(153)
(154) An adder 434 adds a first temperature rise T.sub.1 output from the first computation unit 431 to a second temperature rise T.sub.2 output from the second computation unit 433 to calculate the estimated changed temperature T.sub.est.
(155) The first computation unit 431 is an example of a configuration for performing a first estimation step. The second computation unit 433 is an example of a configuration for performing a second estimation step. The adder 434 is an example of a configuration for performing an addition step.
(156) The following describes the configurations of the first computation unit 431 and the second computation unit 433.
(157) These configurations are calculated on the basis of circuits illustrated in
(158) First, the case where the motor 2 is in the high rotation state will be described on the premise of this temperature circuit.
(159) In the case where the motor 2 is in the high rotation state, substantially the same magnitude of power is applied to the U, V, and W phases and therefore the power loss P.sub.loss is distributed by one third thereof to each of W.sub.u, W.sub.v, and W.sub.w.
(160) Therefore, the increase temperatures T.sub.u, T.sub.v, and T.sub.w can be represented by the following determinant. The first term on the right-hand side is a component brought about by heat conduction and the second term on the right-hand side is a heat generating component according to the input power.
(161)
(162) With this determinant, a high rotation increase temperature T.sub.u_hi, which is a U-phase increase temperature T.sub.u in the high rotation region, can be found as follows.
(163)
(164) The following will study the low rotation state of the motor 2 such as, for example, a locked state thereof.
(165) It is assumed that the maximum power is applied to the U-phase winding in the case where the motor 2 is in the low rotation state. In such a case, the V and W phases each have a phase difference of 120 degrees in comparison with the current input to the U phase, and therefore one half of the current of the U phase flows into each of the V and W phases. Since the power is proportional to the square of current, W.sub.u is four times as much as each of W.sub.v and W.sub.w. Therefore, two-thirds of the input power loss P.sub.loss is distributed to W.sub.u and one-sixth thereof is distributed to each of W.sub.v and W.sub.w.
(166) Therefore, the increase temperatures T.sub.u, T.sub.v, and T.sub.w are able to be represented by the following determinant. Similarly to expression (16), the first term on the right-hand side is a component brought about by heat conduction and the second term on the right-hand side is a heat generating component according to the input power.
(167)
(168) In consideration of the above expression (17) when this determinant is developed, the low rotation increase temperature T.sub.u_lo, which is an increase temperature T.sub.u of the U phase in the low rotation state, is able to be represented by the following expression.
(169)
(170) The first term on the right-hand side of expression (19) is equal to the right-hand side of expression (17). Thereby, the first term on the right-hand side of expression (19) indicates the high rotation increase temperature T.sub.u_hi in the high rotation state and the second term on the right-hand side indicates a further increase temperature caused by the low rotation state.
(171) Specifically, in the case of the high rotation state, the high rotation increase temperature T.sub.u_hi is able to be calculated by expression (17). In addition, in the case of the low rotation state, the low rotation increase temperature T.sub.u_lo is able to be found by adding the second term on the right-hand side of expression (19) to the result of expression (17).
(172) In other words, since the first term of expression (19) equal to expression (17) is present in both of the high rotation state and the low rotation state, it can be said that the first term is equivalent to the increase temperature independent of the rotation state. Furthermore, the second term of expression (19) indicates the increase temperature caused by the low rotation state.
(173)
(174)
(175) According to this diagram, the motor 2 is in the low rotation region between time t.sub.0 to time t.sub.1 and between time t.sub.2 and time t.sub.3. The motor 2 is in the high rotation region between time t.sub.1 and time t.sub.2. The motor 2 is in the high rotation region at time t.sub.3 and thereafter and the rotation speed at time t.sub.3 and thereafter is higher than the rotation speed between time t.sub.1 and time t.sub.2.
(176) During the time period between time to and time t.sub.1, the motor 2 is locked and mainly power is applied to the U-phase wiring and therefore the U-phase temperature T.sub.u is higher than each of the V-phase temperature T.sub.v and the W-phase temperature T.sub.w. Furthermore, the first computation unit 431 and the second computation unit 433 calculate the low rotation increase temperature T.sub.u_lo according to expression (19), and therefore the estimated maximum temperature T.sub.est, which is the low rotation increase temperature T.sub.u_lo, does not exceed the W-phase temperature T.sub.w.
(177) During the time period between time t.sub.1 and time t.sub.2, the motor 2 is rotating and power is applied to the windings of the respective phases in sequence, and therefore the U-phase temperature T.sub.u, the V-phase temperature T.sub.v, and the W-phase temperature T.sub.w converge to the same value while oscillating. At time t.sub.1, the motor 2 transitions to the high rotation region and therefore the switch 432 switches the output to zero. Accordingly, the second temperature rise T.sub.2 output from the second computation unit 433 converges to zero, and therefore the estimated maximum temperature T.sub.est converges to the sum of the reference temperature T.sub.base and the first temperature rise T.sub.1. The first computation unit 431 calculates the high rotation increase temperature T.sub.u_hi according to expression (17), and therefore the estimated maximum temperature T.sub.est, which is the high rotation increase temperature T.sub.u_hi, does not exceed the maximum temperature of the winding of each phase.
(178) During the time period between time t.sub.2 and time t.sub.3, the motor 2 is locked and mainly power is applied to the W-phase wiring and therefore the W-phase temperature T.sub.w is higher than each of the U-phase temperature T.sub.u and the V-phase temperature T.sub.v. At time t.sub.2, the motor 2 transitions to the low rotation region and therefore the switch 432 switches output to the power loss P.sub.loss. Therefore, the second temperature rise T.sub.2, which is output from the second computation unit 433, is a value appropriate to the power loss P.sub.loss, and therefore the estimated maximum temperature T.sub.est increases over time. The first computation unit 431 and the second computation unit 433 calculate the low rotation increase temperature T.sub.u_lo according to expression (19), and therefore the estimated maximum temperature T.sub.est, which is the low rotation increase temperature T.sub.u_lo, does not exceed the W-phase temperature T.sub.w.
(179) At time t.sub.3 and thereafter, the motor 2 is rotating and the rotation speed is higher than the rotation speed between time t.sub.2 and time t.sub.3. Power is applied to the windings of the respective phases in sequence, and therefore the U-phase temperature T.sub.u, the V-phase temperature T.sub.v, and the W-phase temperature T.sub.w converge to the same value. At time t.sub.3, the switch 432 switches output to zero and therefore the second temperature rise T.sub.2 output from the second computation unit 433 converges to zero. Accordingly, the high rotation increase temperature T.sub.u_hi is calculated according to expression (17), and therefore the estimated maximum temperature T.sub.est, which is the high rotation increase temperature T.sub.u_hi, does not exceed the maximum temperature of the winding of each phase.
(180)
(181) According to the method of controlling the motor 2 of the fifth embodiment, one or more of the following advantageous effects may be achieved.
(182) According to the method of controlling the motor 2 of the fifth embodiment, a transition from the high rotation region to the low rotation region causes an addition of a second temperature rise T.sub.2, which is calculated by the second computation unit 433, to a first estimated temperature T.sub.est_1, which is calculated by the first computation unit 431, to predict the estimated maximum temperature T.sub.est. The first estimated temperature T.sub.est_1 is determined in accordance with the power applied to the motor 2 and does not change in accordance with the rotation state. By contrast, the second temperature rise T indicates a temperature rise from the first estimated temperature T.sub.est_1, which is caused by that the motor 2 is in the low rotation state.
(183) As another configuration, the estimated temperature at transition is also able to be found by finding an estimated temperature in each of the high rotation region and the low rotation region and then filtering the respective estimated temperatures and adding up their values in the case of transition between the rotation regions. In this another configuration, however, only general filtering is able to be performed and therefore the transition state cannot be modeled, which leads to low estimation accuracy.
(184) In contrast, in the fifth embodiment, the estimated temperature is able to be found by using expression (19) in which the rotation regions are modeled in all sections including the transition period after transition between the rotation regions, thereby improving the estimation accuracy. In addition, although another configuration requires filter initialization or other processes, such processes are not required in the fifth embodiment, thereby achieving highly accurate estimation by simple computation.
(185) According to the method of controlling the motor 2 of the fifth embodiment, the switch 432 outputs power loss P.sub.loss to the second computation unit 433 in the case of the low rotation region. This is because, in the low rotation region, the estimated maximum temperature T.sub.est is calculated by the sum of the first term on the right-hand side, which corresponds to the first computation unit 431, and the second term on the right-hand side, which corresponds to the second computation unit 433, as represented by expression (19). On the other hand, the switch 432 outputs zero to the second computation unit 433 in the case of the high rotation region. This is because there is no influence of an increase temperature caused by the low rotation region calculated by the second computation unit 433 in the high rotation region.
(186) In the second term on the right-hand side corresponding to the second computation unit 433 includes s, which is a differential component, and therefore, after switching of the switch 432, a change in increase temperature after the switching is able to be estimated. Thus, in the fifth embodiment, the transition period after switching between the rotation regions is also modeled and therefore the estimated maximum temperature T.sub.est is able to be calculated with higher accuracy.
(187) While embodiments of the present invention have been described hereinabove, these embodiments are merely illustration of some of application examples of the present invention and the description is not intended to limit the technical scope of the present invention to the specific configurations of the above embodiments. Furthermore, the above embodiments may be combined on an optional basis.
(188) While the invention has been described with respect to a limited number of embodiments, those skilled in the art, having benefit of this disclosure, will appreciate that other embodiments can be devised which do not depart from the scope of the invention as disclosed herein. Accordingly, the scope of the invention should be limited only by the attached claims.