The present disclosure relates to methods of optimizing system efficiency for battery powered electric motors, and more specifically, to optimizing system efficiency for pulsed electric motors powered by batteries.
Electric motors are known to be efficient at providing continuous torque to driven equipment. The torque delivery of electric motors is typically continuous without the pulsations associated with an internal combustion engine. Generally, electric motors have an optimal efficiency point in mid-low to mid-high range of torque relative to a maximum torque of the electric motor. For example, the maximum efficiency of an electric motor may be in a range of 30% to 80% of the maximum torque of the electric motor.
When an electric motor provides a continuous torque in a low range of the maximum torque of the electric motor, e.g., below 20% of the maximum torque, the efficiency of the electric motor is typically low. It has been found that reducing a duty cycle of the electric motor by pulsing the electric motor at the optimal efficiency point can provide a target torque in a low range of the electric motor at a higher motor efficiency than providing a continuous torque from the electric motor. The pulsing of the electric motor at the optimal efficiency point includes delivering pulses at a modulation frequency.
While pulsing the electric motor at a modulation frequency may have a higher motor efficiency than continuous torque delivery, the pulsing of the electric motor can reduce battery efficiency of the battery system providing power to the electric motor.
There is a need to optimize system efficiency for pulsed electric motors such that increasing the motor efficiency does not decrease the overall system efficiency as a result of decreased battery efficiency.
This disclosure relates generally to a systems and methods for optimizing a system efficiency by calculating a pulsed system efficiency for a requested pulsed power request and comparing the pulsed system efficiency to a continuous system efficiency and switching the electric motor to a pulsed mode when the pulsed system efficiency is greater than the continuous system efficiency. The pulsed system efficiency and the continuous system efficiency may be calculated by a product of battery efficiency and motor efficiency for conditions of the pulsed motor mode and the continuous motor mode.
In an embodiment of the present disclosure, a method of controlling an electric motor includes receiving a requested torque for an electric motor, calculating pulsed system efficiency, calculating a continuous system efficiency, and operating the electric motor in the pulsed mode when the pulsed system efficiency is greater than the continuous system efficiency. Calculating the pulsed system efficiency is calculated for delivering the requested torque from the electric motor in a pulsed mode. Calculating the continuous system efficiency is calculated for delivering the requested torque from the electric motor in a continuous mode.
In embodiments, calculating the pulsed system efficiency may include determining the pulsed battery efficiency at least partially based on a dissipation heat loss of the battery. Calculating the pulsed system efficiency may include determining the pulsed battery efficiency at least partially based on a battery temperature, a pulsing current, battery terminal voltage, or battery internal resistance.
In another embodiment of the present disclosure, a non-transitory computer-readable medium having instructions stored thereon that, when executed by a controller, cause the controller to calculate a pulsed system efficiency, calculate a continuous system efficiency, and operate an electric motor in the pulsed mode when the pulsed system efficiency is greater than the continuous system efficiency. The controller calculates the pulsed system efficiency by determining the system efficiency for delivering a requested torque from an electric motor in a pulsed mode. The controller calculates the continuous system efficiency by determining the system efficiency for delivering the requested torque from the electric motor in a continuous mode.
In another embodiment of the present disclosure, a controller for operating an electric motor to rotate a driven component includes a processor and a memory including a program to cause the processor to calculate a pulsed system efficiency for delivering a requested torque form an electric motor in a pulsed mode, calculate a continuous system efficiency for delivering the requested torque from the electric motor in a continuous mode, and operate the electric motor in the pulsed mode when the pulsed system efficiency is greater than the continuous system efficiency.
Further, to the extent consistent, any of the embodiments or aspects described herein may be used in conjunction with any or all of the other embodiments or aspects described herein.
Various aspects of the present disclosure are described herein below with reference to the drawings, which are incorporated in and constitute a part of this specification, wherein:
The present disclosure will now be described more fully with reference to example embodiments with reference to the drawings in which like reference numerals designate identical or corresponding elements in each of the several views. These example embodiments are described so that this disclosure will be thorough and complete, and will fully convey the scope of the disclosure to those with ordinary skill in the technology at the time of the invention. Features from one embodiment or aspect can be combined with features from any other embodiment or aspect in any appropriate combination. For example, any individual or collective features of method aspects or embodiments can be applied to apparatus, product, or component aspects or embodiments and vice versa. The disclosure may be embodied in many different forms and should not be construed as limited to the embodiments set forth below; rather, these embodiments are provided so that this disclosure will satisfy applicable legal requirements. As used in the specification and the appended claims, the singular forms “a,” “an,” “the,” and the like include plural referents unless the context clearly dictates otherwise. In addition, while reference may be made herein to quantitative measures, values, geometric relationships or the like, unless otherwise stated, any one or more if not all of these may be absolute or approximate to account for acceptable variations that may occur, such as those due to manufacturing or engineering tolerances or the like.
To increase efficiencies of an electric motor in a low torque range of the electric motor, the electric motor may be pulsed to reduce a duty cycle of the electric motor to provide a target torque or demand torque as an average torque delivered over time by pulsing the electric motor at an optimal efficiency point or torque at a modulation frequency. This pulsing of the electric motor may have a Pulse Width Modulation (PWM) waveform of torque delivery. The duty cycle is selected to provide a low target torque to the driven equipment while pulsing the electric motor at the optimal efficiency point. The modulation frequency may be selected to satisfy noise, vibration, and harshness (NVH) requirements and/or to reduce or minimize transition losses between an off-state and an on-state of the electric motor. In certain embodiments, the modulation frequency is selected based on a torsional vibration of the driven equipment For example, an electric motor may be pulsed at an efficient torque of 200 Nm with a 20% duty cycle to provide a target average torque of 40 Nm to driven equipment. Depending on the NVH characteristics of the driven equipment, the 200 Nm pulses may be delivered at a modulation frequency of 30 Hertz (Hz). In an exemplary electric motor, in certain operating condition, pulsing the electric motor to lower a duty cycle to deliver the target torque has been shown to increase motor efficiency by 9% when compared to providing torque demanded through continuous torque delivery.
As discussed above, pulsing the electric motor to deliver target torques below an optimum efficiency point has been shown to increase motor efficiency. However, the pulsing of the electric motor may also affect an efficiency of the battery system providing energy to the electric motor. For example, when an electric motor is pulsed to increase motor efficiency, losses of the battery system may increase and thus, the battery efficiency may decrease as a result of the pulsed energy delivery to the electric motor. This loss of battery efficiency may reduce, offset, or be greater than any motor efficiency gain such that system efficiency of a battery system and electric motor may be decreased from the pulsed energy delivery even if the there is a gain in motor efficiency. As detailed herein below, a method of preventing system efficiency losses as a result of pulsing an electric motor is disclosed. As used herein, the term “system efficiency” is the efficiency of the entire power delivery system including at least the motor efficiency of the electric motor and the battery efficiency of the battery system providing energy to the electric motor.
One method of quantifying an efficiency of the battery system is to determine a heat dissipation of the battery system. The heat dissipation of a battery system may be a function of internal resistance of the battery system and passing current through the battery system. The heat dissipation may also be affected by the terminal voltage of the battery system. For example, as the terminal voltage decreases such that the overpotential increases the current increases to provide the same power output. As a result, as the terminal voltage decreases, the heat dissipation may also increase. As used herein, the term battery system may refer to the battery having a single cell or a plurality of cells. Attributes of the battery system may refer to the battery system as a whole or to individual cells of the battery system.
There are several models for estimating the dissipated heat loss of a battery system. Referring to
Referring now to
where Q is the total capacity which is the total amount of charge removed when discharging from fully charged to fully discharged. It is known that battery cells are not perfectly efficient. For example, a battery cell has an energy efficiency that is defined as energy out divided by energy in. This energy efficiency may be around 95 percent for battery cells. The energy lost may be a result of resistive heating during charging and discharging. In addition, during charging, battery cell energy may be lost due to the Coulombic efficiency being less than 1 as a result of unwanted side reactions within the battery cells. However, during discharging of the battery cells, the Coulombic efficiency is generally equal to 1.
With reference to
V(t)=OCV(z(t),T(t))−i(t)R0
where V(t)>OCV(z(t), T(t)) on charge and V(t)<OCV(z(t), T(t)) on discharge. The power dissipated by R0 is dissipated by heat which represents dissipated heat loss. While this Rint Model may be sufficient for simple electronic designs, this Rint Model may have inaccuracies when applied to advanced electronics and EV applications. For example, a battery cell may have diffusion processes within the cell such when a cell rests, the voltage does not immediately return to OCV.
While there may be more advanced models that take into account diffusion voltages and hysteresis such as a “Thevenin Model” or an Enhanced Self-Correcting (ESC) Cell Model, the Rint Model may give some insight as to changes in the dissipated heat loss within a battery cell in a continuous power delivery versus a pulsed power delivery. These and other models may be used in implementation of the methods detailed herein.
Referring now to
To calculate the dissipated heat loss of the pulsed power delivery, the first step is to calculate heat dissipated by providing power during continuous current delivery referred to generally as Qbaseline. Using the Rint Model above, Qbaseline can be calculated as follows:
Then turning to the first pulse control model, the dissipated heat loss Q can be calculated where:
such that:
As such, the pulse width or duty cycle of the of the electric motor in pulsed mode is directly proportional to the baseline dissipated heat loss of the battery system in the continuous mode. For example, when the duty cycle is 33% or the pulse width is ⅓ of time T, n is equal to 3. When n is equal to 3, a Imean is ⅓ of Ipulse. Thus, from the Rint Model, when the pulse control pattern has a duty cycle of 33 percent, the dissipated heat loss of the battery system is three times greater than the dissipation heat loss of a constant power delivery from the battery system baseline. From the Rint Model it is clear that as the duty cycle decreases, the efficiency of the battery system decreases for the first pulse control pattern.
With reference now to
Referring now to
The method 100 may include a controller of the electric motor receiving an input signal requesting a target torque from the electric motor (Step 110). The controller may also receive a motor speed from one or more sensors associated with the motor (Step 115). The controller generates a pulse control pattern in response to receiving the target torque for the electric motor (Step 120). The generated pulse control pattern may be at least partially based on a motor speed. Additionally or alternatively, the generated pulse control pattern may be at least partially based on operating conditions of the electric motor including, but not limited to a vehicle speed or a motor temperature. The controller may optimize the generated pulse control pattern to maximize motor efficiency of the electric motor and determine a motor efficiency gain as a result of the generated pulse control pattern when compared to continuous torque delivery (Step 130).
Before the generated pulse control pattern is provided to the electric motor, the controller calculates a system efficiency of the generated pulse control pattern (Step 160). To calculate the system efficiency, the controller requires at least the motor efficiency (Step 130) and a battery efficiency (Step 150). As such, the system efficiency is at least partially dependent on the motor efficiency and at least partially dependent on the battery efficiency. The battery efficiency of the pulsed power request is calculated using a battery model (Step 140). The battery model may be any battery model including, but not limited to, an Ideal Voltage Source Model, a SOC Model, a Rint Model, a Thevenin Model, or an ESC Model. The battery model may be based at least partially on operating conditions of the battery or cell including, but not limited to the generated pulse pattern, a cell current, a cell terminal voltage, a cell temperature, a cell internal resistance, or pulsing current. The battery model may include input of real-time operating conditions provided by one or more sensors. With the operating conditions, the battery efficiency is calculated using the battery model (Step 150).
With the battery efficiency and the motor efficiency calculated, the pulsed system efficiency is calculated for the generated pulse pattern (Step 160). The controller compares the pulsed system efficiency to a continuous or baseline system efficiency (Step 170). The continuous system efficiency may be calculated by the controller from a battery efficiency and a motor efficiency of continuous torque delivery of the target torque (Step 125). When the continuous system efficiency is greater than the pulsed system efficiency, the controller operates the electric motor to deliver the target torque via continuous torque delivery (Step 180). When the pulsed system efficiency is greater than or equal to the continuous system efficiency, the controller operates the electric motor to deliver the target torque via the generated pulse pattern (Step 190). The target torque delivery of Step 180 or Step 190 continues until another target torque is requested and received by the controller (Step 110). The method 100 is repeated for the new target torque requested.
With reference to
While several embodiments of the disclosure have been shown in the drawings, it is not intended that the disclosure be limited thereto, as it is intended that the disclosure be as broad in scope as the art will allow and that the specification be read likewise. Any combination of the above embodiments is also envisioned and is within the scope of the appended claims. Therefore, the above description should not be construed as limiting, but merely as exemplifications of particular embodiments. Those skilled in the art will envision other modifications within the scope of the claims appended hereto.
This application is a continuation of U.S. patent application Ser. No. 17/733,232, filed Apr. 29, 2022, which is a continuation of U.S. patent application Ser. No. 17/401,000, filed Aug. 12, 2021, now U.S. Pat. No. 11,345,241. The entire contents of which are hereby incorporated by reference.
Number | Name | Date | Kind |
---|---|---|---|
3020651 | Schierhorst | Feb 1962 | A |
4441043 | DeCesare | Apr 1984 | A |
4989146 | Imajo | Jan 1991 | A |
5099410 | Divan | Mar 1992 | A |
5151637 | Takada et al. | Sep 1992 | A |
5325028 | Davis | Jun 1994 | A |
5483141 | Uesugi | Jan 1996 | A |
5640073 | Ikeda et al. | Jun 1997 | A |
5731669 | Shimizu et al. | Mar 1998 | A |
6121740 | Gale et al. | Sep 2000 | A |
6291960 | Crombez | Sep 2001 | B1 |
6308123 | Kegaya et al. | Oct 2001 | B1 |
6370049 | Heikkila | Apr 2002 | B1 |
6424799 | Gilmore | Jul 2002 | B1 |
6493204 | Glidden et al. | Dec 2002 | B1 |
6605912 | Bharadwaj et al. | Aug 2003 | B1 |
6829515 | Grimm | Dec 2004 | B2 |
6829556 | Kumar | Dec 2004 | B2 |
6906485 | Hussein | Jun 2005 | B2 |
6940239 | Iwanaga et al. | Sep 2005 | B2 |
7190143 | Wei et al. | Mar 2007 | B2 |
7259664 | Cho et al. | Aug 2007 | B1 |
7327545 | Konishi | Feb 2008 | B2 |
7411801 | Welchko et al. | Aug 2008 | B2 |
7453174 | Kalsi | Nov 2008 | B1 |
7558655 | Garg et al. | Jul 2009 | B2 |
7577511 | Tripathi et al. | Aug 2009 | B1 |
7616466 | Chakrabarti et al. | Nov 2009 | B2 |
7768170 | Tatematsu et al. | Aug 2010 | B2 |
7852029 | Kato et al. | Dec 2010 | B2 |
7960888 | Ai et al. | Jun 2011 | B2 |
7969341 | Robbe et al. | Jun 2011 | B2 |
8020651 | Zillmer et al. | Sep 2011 | B2 |
8099224 | Tripathi et al. | Jan 2012 | B2 |
8768563 | Nitzberg et al. | Jul 2014 | B2 |
8773063 | Nakata | Jul 2014 | B2 |
9046559 | Lindsay et al. | Jun 2015 | B2 |
9050894 | Banerjee et al. | Jun 2015 | B2 |
9308822 | Matsuda | Apr 2016 | B2 |
9495814 | Ramesh | Nov 2016 | B2 |
9512794 | Serrano et al. | Dec 2016 | B2 |
9630614 | Hill et al. | Apr 2017 | B1 |
9702420 | Yoon | Jul 2017 | B2 |
9758044 | Gale et al. | Sep 2017 | B2 |
9948173 | Abu Qahouq | Apr 2018 | B1 |
10060368 | Pirjaberi et al. | Aug 2018 | B2 |
10081255 | Yamada et al. | Sep 2018 | B2 |
10256680 | Hunstable | Apr 2019 | B2 |
10273894 | Tripathi | Apr 2019 | B2 |
10291168 | Fukuta | May 2019 | B2 |
10291174 | Irie et al. | May 2019 | B2 |
10320249 | Okamoto et al. | Jun 2019 | B2 |
10344692 | Nagashima et al. | Jul 2019 | B2 |
10381968 | Agirman | Aug 2019 | B2 |
10476421 | Khalil et al. | Nov 2019 | B1 |
10550776 | Leone et al. | Feb 2020 | B1 |
10742155 | Tripathi | Aug 2020 | B2 |
10944352 | Mazda et al. | Mar 2021 | B2 |
11088644 | Carvell | Aug 2021 | B1 |
11133767 | Serrano et al. | Sep 2021 | B2 |
11239772 | Bojoi et al. | Feb 2022 | B1 |
11345241 | Cai | May 2022 | B1 |
11427177 | Serrano et al. | Aug 2022 | B2 |
11557996 | Arvanitis | Jan 2023 | B1 |
11628730 | Srinivasan | Apr 2023 | B2 |
11637513 | Phillips et al. | Apr 2023 | B2 |
11673476 | Cai | Jun 2023 | B2 |
11695361 | Carvell et al. | Jul 2023 | B2 |
20010039926 | Kobayashi et al. | Nov 2001 | A1 |
20020043954 | Hallidy | Apr 2002 | A1 |
20030094917 | Garrigan et al. | May 2003 | A1 |
20050127861 | McMillan et al. | Jun 2005 | A1 |
20050151437 | Ramu | Jul 2005 | A1 |
20050160771 | Hosoito et al. | Jul 2005 | A1 |
20050255964 | Heap et al. | Nov 2005 | A1 |
20070216345 | Kanamori | Sep 2007 | A1 |
20070287594 | DeGeorge et al. | Dec 2007 | A1 |
20080129243 | Nashiki | Jun 2008 | A1 |
20080179980 | Dawsey et al. | Jul 2008 | A1 |
20090045691 | Ichiyama | Feb 2009 | A1 |
20090121669 | Hanada | May 2009 | A1 |
20090128072 | Strong et al. | May 2009 | A1 |
20090146615 | Zillmer et al. | Jun 2009 | A1 |
20090179608 | Welchko et al. | Jul 2009 | A1 |
20090306841 | Miwa et al. | Dec 2009 | A1 |
20100010724 | Tripathi et al. | Jan 2010 | A1 |
20100201294 | Yuuki et al. | Aug 2010 | A1 |
20100296671 | Khoury et al. | Nov 2010 | A1 |
20110029179 | Miyazaki et al. | Feb 2011 | A1 |
20110089774 | Kramer | Apr 2011 | A1 |
20110101812 | Finkle et al. | May 2011 | A1 |
20110130916 | Mayer | Jun 2011 | A1 |
20110208405 | Tripathi et al. | Aug 2011 | A1 |
20120056569 | Takamatsu et al. | Mar 2012 | A1 |
20120112674 | Schulz et al. | May 2012 | A1 |
20120169263 | Gallegos-Lopez et al. | Jul 2012 | A1 |
20120217921 | Wu et al. | Aug 2012 | A1 |
20130002173 | Baglino et al. | Jan 2013 | A1 |
20130134912 | Khalil et al. | May 2013 | A1 |
20130141027 | Nakata | Jun 2013 | A1 |
20130226420 | Pedlar et al. | Aug 2013 | A1 |
20130241445 | Tang | Sep 2013 | A1 |
20130258734 | Nakano et al. | Oct 2013 | A1 |
20140018988 | Kitano et al. | Jan 2014 | A1 |
20140028225 | Takamatsu et al. | Jan 2014 | A1 |
20140130506 | Gale et al. | May 2014 | A1 |
20140176034 | Matsumura et al. | Jun 2014 | A1 |
20140217940 | Kawamura | Aug 2014 | A1 |
20140265957 | Hu et al. | Sep 2014 | A1 |
20140292382 | Ogawa et al. | Oct 2014 | A1 |
20140354199 | Zeng et al. | Dec 2014 | A1 |
20150025725 | Uchida | Jan 2015 | A1 |
20150240404 | Kim et al. | Aug 2015 | A1 |
20150246685 | Dixon et al. | Sep 2015 | A1 |
20150261422 | den Haring et al. | Sep 2015 | A1 |
20150297824 | Cabiri et al. | Oct 2015 | A1 |
20150318803 | Wu | Nov 2015 | A1 |
20160114830 | Dixon et al. | Apr 2016 | A1 |
20160226409 | Ogawa | Aug 2016 | A1 |
20160233812 | Lee et al. | Aug 2016 | A1 |
20160269225 | Kirchmeier et al. | Sep 2016 | A1 |
20160373047 | Loken et al. | Dec 2016 | A1 |
20170087990 | Neti et al. | Mar 2017 | A1 |
20170163108 | Schencke et al. | Jun 2017 | A1 |
20170331402 | Smith et al. | Nov 2017 | A1 |
20180032047 | Nishizono et al. | Feb 2018 | A1 |
20180045771 | Kim et al. | Feb 2018 | A1 |
20180154786 | Wang et al. | Jun 2018 | A1 |
20180276913 | Garcia et al. | Sep 2018 | A1 |
20180323665 | Chen et al. | Nov 2018 | A1 |
20180334038 | Zhao et al. | Nov 2018 | A1 |
20190058374 | Enomoto et al. | Feb 2019 | A1 |
20190288629 | Tripathi | Sep 2019 | A1 |
20190288631 | Tripathi | Sep 2019 | A1 |
20190341820 | Krizan et al. | Nov 2019 | A1 |
20200212834 | Mazda et al. | Jul 2020 | A1 |
20200262398 | Sato et al. | Aug 2020 | A1 |
20200328714 | Tripathi | Oct 2020 | A1 |
20200343849 | Coroban-Schramel | Oct 2020 | A1 |
20200366223 | Coroban-Schramel | Nov 2020 | A1 |
20210009918 | Koshima et al. | Jan 2021 | A1 |
20210170883 | Hu et al. | Jun 2021 | A1 |
20210203263 | Serrano et al. | Jul 2021 | A1 |
20210323415 | Carvell et al. | Oct 2021 | A1 |
20210351733 | Carvell | Nov 2021 | A1 |
20230223885 | Tripathi | Jul 2023 | A1 |
Number | Date | Country |
---|---|---|
1829070 | Sep 2006 | CN |
102381265 | Mar 2012 | CN |
104716754 | Jun 2015 | CN |
204589885 | Aug 2015 | CN |
105196877 | Dec 2015 | CN |
205229379 | May 2016 | CN |
106932208 | Jul 2017 | CN |
107067780 | Aug 2017 | CN |
207129052 | Mar 2018 | CN |
108216026 | Jun 2018 | CN |
108445386 | Aug 2018 | CN |
110212725 | Sep 2019 | CN |
102014206342 | Oct 2015 | DE |
2605398 | Jun 2013 | EP |
2989479 | Mar 2014 | FR |
10-243680 | Sep 1998 | JP |
2008-079686 | Apr 2008 | JP |
2009-065758 | Mar 2009 | JP |
201167043 | Mar 2011 | JP |
2014-033449 | Feb 2014 | JP |
2017-011970 | Jan 2017 | JP |
2017-200382 | Nov 2017 | JP |
2018-033250 | Mar 2018 | JP |
102010021146 | Feb 2010 | KR |
1020170021146 | Feb 2017 | KR |
1020170032976 | Mar 2017 | KR |
0336787 | May 2003 | WO |
2011086562 | Jul 2011 | WO |
2012-010993 | Jan 2012 | WO |
2022088154 | May 2022 | WO |
Entry |
---|
International Preliminary Report on Patentability for PCT/IB2022/056551, issued Feb. 13, 2024, 6 pages. |
Cai et al., “Torque Ripple Reduction for Switched Reluctance Motor with Optimized PWM Control Strategy”, Energies,; vol. 11, Oct. 15, 2018, pp. 1-27. |
Carvell et al, U.S. Appl. No. 17/204,269, filed Mar. 17, 2021. |
Carvell, U.S. Appl. No. 16/866,917, filed May 5, 2020. |
Carvell, U.S. Appl. No. 17/188,189, filed Mar. 1, 2021. |
Islam, U.S. Appl. No. 17/220,228, filed Apr. 1, 2021. |
Luckjiff et al., “Hexagonal$Sigma Delta$Modulators in Power Electronics”, IEEE Transactions on Power Electronics,; vol. 20, No. 5, Sep. 2005, pp. 1075-1083. |
Mirzaeva et al., “The use of Feedback Quantizer PWM for Shaping Inverter Noise Spectrum”, Power Electronics and; Motion Control Conference (EPE/PEMC), 2012 15th International IEEE, Sep. 4, 2012, pp. DS3c. 10-DS3c. 11,; XP032311951, DOI: 10.1109/EPEPEMC.2012.6397346, ISBN: 978-1-4673-1970.6. |
Ramsey, “How this father and son's new electric turbine could revolutionize electric cars; The Hunstable Electric; Turbine can produce up to three times the torque of any other motor”, Available Online at; <https://www.autoblog.com/2020/03/08/hunstable-electric-turbine/>, Mar. 8, 2020, 9 pages. |
Serrano et al, U.S. Appl. No. 16/689,450, filed Nov. 20, 2019. |
Spong et al., “Feedback Linearizing Control of Switched Reluctance Motors”, IEEE Transactions on Automatic; Control, vol. AC-32, No. 5, May 1987, pp. 371-379. |
Srinivasan, U.S. Appl. No. 17/158,230, filed Jan. 26, 2021. |
Srinivasan, U.S. Appl. No. 17/188,509, filed Mar. 1, 2021. |
Tripathi, U.S. Appl. No. 16/353,159, filed Mar. 14, 2019. |
Tripathi, U.S. Appl. No. 16/912,313, filed Jun. 25, 2020. |
Tripathi, U.S. Appl. No. 16/353,166, filed Mar. 14, 2019. |
International Search Report and Written Opinion for PCT/IB22/56551 issued on Oct. 28, 2022. |
Number | Date | Country | |
---|---|---|---|
20230264576 A1 | Aug 2023 | US |
Number | Date | Country | |
---|---|---|---|
Parent | 17733232 | Apr 2022 | US |
Child | 18142079 | US | |
Parent | 17401000 | Aug 2021 | US |
Child | 17733232 | US |