Alternating current zero torque resistance heating
US-2024367552-A1 · Nov 7, 2024 · US
US10224850B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-10224850-B2 |
| Application number | US-201615135174-A |
| Country | US |
| Kind code | B2 |
| Filing date | Apr 21, 2016 |
| Priority date | Jun 2, 2015 |
| Publication date | Mar 5, 2019 |
| Grant date | Mar 5, 2019 |
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An operating method of a synchronous machine is provided, the operating method including: generating an MTPA (Maximum Torque Per Ampere) curve, based on a current limiting circle depending on a rated current of an inverter or a motor and a torque curve depending on a torque command; generating a voltage limiting ellipse, based on a DC-link voltage; displaying, on an X-Y plane, the current limiting circle, the torque curve, the MTPA curve, and the voltage limiting ellipse; and computing a d-axis current and a q-axis current, based on an intersection point between at least two of the current limiting circle, the torque curve, the MTPA curve, and the voltage limiting ellipse, displayed on the X-Y plane.
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The invention claimed is: 1. An operating method of a synchronous machine, the method comprising: generating an MTPA (Maximum Torque Per Ampere) curve, based on a current limiting circle depending on a rated current of an inverter or a motor and a torque curve depending on a torque command; generating a voltage limiting ellipse based on a DC-link voltage; displaying, on an X-Y plane the current limiting circle, the torque curve, the MTPA curve, and the voltage limiting ellipse; computing the d-axis current and the q-axis current based on an intersection point between at least two of the current limiting circle, the torque curve, the MTPA curve, and the voltage limiting ellipse, displayed on the X-Y plane; determining an operational mode of the motor based on a reference rotor speed depending on the intersection point, upon determining that the intersection point is a point intersecting between the current limiting circle, the torque curve, and the MTPA curve, determining whether a rotor speed of the motor is smaller than the reference rotor speed; and computing the d-axis current and the q-axis current corresponding to a current command for operating the motor in an MTPA operational mode, by combining the torque curve and the MTPA curve via a numerical-analytical method, upon determining that the rotor speed of the motor is smaller than the reference rotor speed, wherein a size of the voltage limiting ellipse decreases as the rotor speed increases, and the reference rotor speed is a speed where the voltage limiting ellipse passes the MTPA maximum torque operational point, wherein the MTPA operational mode is available with respect to all torque commands when the rotor speed is smaller than the reference rotor speed; and operating the synchronous machine to have the computed d-axis current and q-axis current. 2. The method of claim 1 , wherein the step of computing the d-axis current and the q-axis current corresponding to a current command for operating the motor in an MTPA operational mode, by combining the torque curve and the MTPA curve via a numerical-analytical method, includes: computing the d-axis current and the q-axis current using Newton's method depending on the following equations: F MTPA = [ F T ( i d , i q ) F MTPA ( i d , i q ) ] J = [ ( L d - L q ) i q λ f + ( L d - L q ) i d λ f + 2 ( L d - L q ) i d - 2 ( L d - L q ) i q ]
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