CN104236771B - Method of Estimating Pedaling Torque Using Bicycle Pedaling Speed - Google Patents
Method of Estimating Pedaling Torque Using Bicycle Pedaling Speed Download PDFInfo
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Abstract
Description
技术领域technical field
本发明是与自行车有关,特别是指一种利用自行车踏速来估计踩踏力矩的方法。The present invention is related to bicycles, in particular to a method for estimating pedaling torque by utilizing bicycle pedaling speed.
背景技术Background technique
电助力自行车,主要是在骑乘者踩踏时提供一辅助动力,来使得骑乘者得以尽享踩踏骑乘的乐趣,又可以不需要出很多的力气来达到踩踏的结果。因此,电助力自行车已日趋流行。The electric power-assisted bicycle mainly provides an auxiliary power when the rider is pedaling, so that the rider can enjoy the fun of pedaling and riding, and can achieve the pedaling effect without a lot of effort. Therefore, electric power-assisted bicycles have become increasingly popular.
在提供辅助动力时,必须对于骑乘者的踩踏力量进行测量,才能对应输出该骑乘者所需要的辅助动力,否则辅助动力过大时反而会造成骑乘者空踩,过小时又会造成骑乘者感受不到助力,提供助力的功能等于无效。目前的踩踏力量(或力矩)的侦测方式是通过在自行车上安装一力矩传感器,在骑乘者踩踏踏板时即可感测踩踏力量或力矩。然而,力矩传感器非常复杂及昂贵,因此,不使用力矩传感器而使用其他方式来取得踩踏力矩的技术,因为可降低成本而受到本领域从业人员的关注。When providing auxiliary power, it is necessary to measure the pedaling force of the rider in order to output the corresponding auxiliary power required by the rider. Otherwise, when the auxiliary power is too large, it will cause the rider to pedal empty, and if it is too small, it will cause The rider cannot feel the boost, and the function of providing boost is invalid. The current detection method of pedaling force (or torque) is to install a torque sensor on the bicycle to sense the pedaling force or torque when the rider pedals the pedal. However, the torque sensor is very complicated and expensive. Therefore, the technology of obtaining the pedaling torque by other means without using the torque sensor has attracted the attention of practitioners in the field because it can reduce the cost.
中国台湾公开第TW201202090A1号「脚踏曲柄驱动器的力矩的估计方法与装置」发明专利案,即德国10 2010 028 656.7号专利案,揭露了一种估计力矩的方法,其主要是利用侦测角速度与时间的关系,求出该角速度的至少一信号性质后,利用该至少一的信号性质与力矩之间的预定相依性来将力矩与该至少一信号性质相关联。此种方式是利用波形的变化来推知踏力,其有很多无法分解及量化的变因,例如其信号性质的取得,其可为(1)角速度的交流成分功率或(2)角速度的交流成分的信号形状与一正弦曲线的偏差,前述的(1)及(2)的技术内容及数值上的差异很大,可证明其最终取得的力矩结果的差异性也会很大,进而可了解其所求得的力矩的误差很大,准确性可能不好。China Taiwan Publication No. TW201202090A1 "Moment Estimation Method and Device of Pedal Crank Actuator" Invention Patent Case, that is, German Patent No. 10 2010 028 656.7, discloses a method for estimating torque, which mainly uses the detection of angular velocity and The time relationship, after obtaining at least one signal property of the angular velocity, utilizes the predetermined dependence between the at least one signal property and the torque to correlate the torque with the at least one signal property. This method uses the change of the waveform to infer the pedaling force, which has many variables that cannot be decomposed and quantified, such as the acquisition of its signal properties, which can be (1) the AC component power of the angular velocity or (2) the AC component of the angular velocity. The difference between the signal shape and a sinusoidal curve, the technical content and numerical value of the aforementioned (1) and (2) are very different, which can prove that the final torque results will also be very different, and then we can understand what it is The error of the obtained torque is very large, and the accuracy may not be good.
此外,上述案件可知,踩踏速度的变化与踩踏力矩的变化是具有相关性的,因此上述案件才会发展出以踩踏速度来估计踩踏力矩的技术。然而,前述的估计方法虽尝试将此相关性予以清楚的计算出来,但其结果除了误差很大之外,在计算上也较为繁复,除了需要求得角速度的至少一信号性质之外,还需要利用信号性质与力矩之间的相依性来求出其关联,因此其计算过程繁复,在执行上需使用较高速的运算单元,此也会使得成本提高。In addition, it can be known from the above case that the change of the pedaling speed is correlated with the change of the pedaling torque, so the technology of estimating the pedaling torque based on the pedaling speed was developed in the above case. However, although the aforementioned estimation methods try to clearly calculate the correlation, the result is not only a large error, but also relatively complicated in calculation. In addition to obtaining at least one signal property of the angular velocity, it also needs The correlation between the signal property and the torque is calculated by using the dependence between the signal property and the torque, so the calculation process is complicated, and a relatively high-speed calculation unit is required for execution, which also increases the cost.
发明内容Contents of the invention
已知的力矩估计方法具有误差大且计算繁复的问题。因此,本发明所提供的一种利用自行车踏速来估计踩踏力矩的方法,该踩踏力矩是指自行车的一曲柄受踩踏的力矩,该方法包含有下列步骤:在一预定时间区间内,通过一速度传感器对自行车的一曲柄的踩踏速度进行预定次数的侦测,进而取得该踩踏速度的频率数据及振幅数据,并将前述数据整理形成一踩踏速度实际波形,且再依据前述数据定义一踩踏速度理想波形;求取该踩踏速度理想波形的面积作为V0,以及求取该踩踏速度实际波形的面积作为V1,并求取V0-V1的差作为ΔVi,再取得踩踏速度的相对变化量为ΔVi/V0;依据踩踏速度与力矩之间的关系,取得一修正量c;依照下述第一公式进行运算:ΔMi/M0=ΔVi/V0+c;将踩踏速度的相对变化量ΔVi/V0加上修正量c,即得到踩踏力矩的相对变化量ΔMi/M0;其中,M0为产生V0的力矩,M0是经实际实验取得;M0-M1的差值则为ΔMi;M1为产生V1的力矩,即为待估计的踩踏力矩。The known torque estimation methods have the problems of large errors and complicated calculations. Therefore, the present invention provides a method for estimating the pedaling torque by using the pedaling speed of the bicycle. The pedaling torque refers to the pedaling torque of a crank of the bicycle. The method includes the following steps: within a predetermined time interval, through a The speed sensor detects the pedaling speed of a crank of the bicycle for a predetermined number of times, and then obtains the frequency data and amplitude data of the pedaling speed, and arranges the aforementioned data to form a pedaling speed actual waveform, and then defines a pedaling speed based on the aforementioned data Ideal waveform; get the area of the ideal waveform of the pedaling speed as V 0 , and get the area of the actual waveform of the pedaling speed as V 1 , and get the difference between V 0 -V 1 as ΔV i , and then get the relative value of the pedaling speed The amount of change is ΔV i /V 0 ; according to the relationship between pedaling speed and torque, a correction amount c is obtained; the calculation is performed according to the following first formula: ΔM i /M 0 = ΔV i /V 0 +c; The relative variation of velocity ΔV i /V 0 is added to the correction amount c to obtain the relative variation of pedaling torque ΔM i /M 0 ; among them, M 0 is the torque that produces V 0 , and M 0 is obtained through actual experiments; M The difference between 0 -M 1 is ΔM i ; M 1 is the torque that generates V 1 , that is, the pedaling torque to be estimated.
借此,本发明可达到利用踏速来估计踏力的效果,并且达到简化计算及降低误差的效果。Thereby, the present invention can achieve the effect of estimating the pedal force by using the pedal speed, and achieve the effect of simplifying the calculation and reducing the error.
附图说明Description of drawings
图1是本发明第一优选实施例的示意图,显示速度传感器所测得的数据。Fig. 1 is a schematic diagram of a first preferred embodiment of the present invention, showing data measured by a speed sensor.
图2是本发明第一优选实施例的波形示意图,显示踩踏速度实际波形。Fig. 2 is a schematic waveform diagram of the first preferred embodiment of the present invention, showing the actual waveform of pedaling speed.
图3A是本发明第一优选实施例的波形示意图,显示由踩踏速度实际波形推算出踩踏速度理想波形的状态。FIG. 3A is a schematic waveform diagram of the first preferred embodiment of the present invention, showing the state of deriving the ideal pedaling speed waveform from the actual pedaling speed waveform.
图3B是本发明第一优选实施例的另一波形示意图,显示由踩踏速度实际波形推算出另一种踩踏速度理想波形的状态。FIG. 3B is another waveform schematic diagram of the first preferred embodiment of the present invention, showing another ideal pedaling speed waveform deduced from the actual pedaling speed waveform.
图4是本发明第一优选实施例的积分示意图,显示踩踏速度实际波形进行积分运算的状态。Fig. 4 is a schematic diagram of the integration of the first preferred embodiment of the present invention, showing the status of the integration operation of the actual waveform of the pedaling speed.
图5是本发明第一优选实施例的另一积分示意图,显示踩踏速度理想波形进行积分运算的状态。Fig. 5 is another integral schematic diagram of the first preferred embodiment of the present invention, showing the state of the ideal waveform of pedaling speed being integrated.
图6是本发明第一优选实施例的又一示意图,显示踩踏速度实际波形与踩踏速度理想波形进行积分运算后重叠的状态。Fig. 6 is another schematic diagram of the first preferred embodiment of the present invention, showing the overlapping status of the actual pedaling speed waveform and the ideal pedaling speed waveform after integral calculation.
图7是本发明第一优选实施例的方块示意图,显示自行车的相关元件。Fig. 7 is a schematic block diagram of the first preferred embodiment of the present invention, showing the relevant components of the bicycle.
图8是本发明第一优选实施例的另一方块示意图,显示实验自行车的相关元件。Fig. 8 is another schematic block diagram of the first preferred embodiment of the present invention, showing the relevant components of the experimental bicycle.
【符号说明】【Symbol Description】
10-自行车;10 - bicycle;
11-速度传感器;11 - speed sensor;
13-存储器;13 - memory;
15-微电脑;15 - microcomputer;
10’-实验自行车;10' - experimental bike;
11’-速度传感器;11'-speed sensor;
17’-力矩传感器;17'-torque sensor;
tpd-预定时间区间;t pd - predetermined time interval;
V0-踩踏速度理想波形的面积;V 0 - the area of the ideal waveform of pedaling speed;
V1-踩踏速度实际波形的面积。V 1 - the area of the actual waveform of the pedaling velocity.
具体实施方式detailed description
如图1至图7所示,本发明第一优选实施例所提供的一种利用自行车踏速来估计踩踏力矩的方法,该踩踏力矩是指自行车的一曲柄受踩踏的力矩,该方法包含有下列步骤:As shown in Figures 1 to 7, the first preferred embodiment of the present invention provides a method for estimating the pedaling torque by using the pedaling speed of the bicycle, the pedaling torque refers to the pedaling torque of a crank of the bicycle, the method includes Follow these steps:
如图1所示,在一预定时间区间tpd内,通过一速度传感器11对一自行车10的一曲柄(图中未示)的踩踏速度进行预定次数(图中是以20次为例)的侦测,进而取得该踩踏速度的频率数据及振幅数据。并将前述数据整理形成一踩踏速度实际波形,如图2所示。且再依据前述数据定义一踩踏速度理想波形,如图3A或图3B所示。由图3A可知,虚线所示的踩踏速度实际波形与实线所示的踩踏速度理想波形相比之下,踩踏速度实际波形在前半周的振幅较大且周期较短,后半周则振幅相同但周期较长,由此可知踩踏速度理想波形的振幅是参考踩踏速度实际波形的后半周而得。再由图3B可知,虚线所示的踩踏速度实际波形与实线所示的踩踏速度理想波形相比之下,踩踏速度实际波形在前半周的振幅相同但周期较短,后半周则振幅较小且周期较长,由此可知踩踏速度理想波形的振幅是参考踩踏速度实际波形的前半周而得。在本实施例中,踩踏速度理想波形是以图3A所示者为例。由前述可知,踩踏速度理想波形的振幅可参考踩踏速度实际波形的某个周期的振幅,事实上,也可参考前半周及后半周的振幅的平均值,或由使用者自定义振幅。在实施上,该踩踏速度的频率数据及振幅数据存储于一存储器13中。并且,通过一微电脑15来提供运算及处理的功能。而该速度传感器11也安装于该自行车10上,其连接的示意图显示于图7。As shown in Figure 1, within a predetermined time interval tpd , a speed sensor 11 is used to measure the pedaling speed of a crank (not shown) of a bicycle 10 for a predetermined number of times (20 times are taken as an example in the figure). Detect, and then obtain the frequency data and amplitude data of the pedaling speed. And arrange the aforementioned data to form an actual pedaling speed waveform, as shown in FIG. 2 . And then define an ideal pedaling speed waveform according to the aforementioned data, as shown in FIG. 3A or FIG. 3B . It can be seen from Fig. 3A that the actual pedaling speed waveform shown by the dotted line is compared with the ideal pedaling speed waveform shown by the solid line. The period is longer, so it can be seen that the amplitude of the ideal waveform of the pedaling speed is obtained by referring to the second half cycle of the actual waveform of the pedaling speed. From Figure 3B, it can be seen that the actual pedaling speed waveform shown by the dotted line is compared with the ideal pedaling speed waveform shown by the solid line. The actual pedaling speed waveform has the same amplitude but a shorter cycle in the first half cycle, and a smaller amplitude in the second half cycle. And the cycle is longer, so it can be seen that the amplitude of the ideal pedaling speed waveform is obtained by referring to the first half cycle of the actual pedaling speed waveform. In this embodiment, the ideal waveform of pedaling speed is shown in FIG. 3A as an example. It can be known from the foregoing that the amplitude of the ideal pedaling speed waveform can refer to the amplitude of a certain cycle of the actual pedaling speed waveform, in fact, it can also refer to the average value of the amplitudes of the first half cycle and the second half cycle, or the amplitude can be defined by the user. In practice, the frequency data and amplitude data of the pedaling speed are stored in a memory 13 . Moreover, a microcomputer 15 provides computing and processing functions. The speed sensor 11 is also installed on the bicycle 10, and the schematic diagram of its connection is shown in FIG. 7 .
如图4及图5所示,通过积分运算,来求取该踩踏速度理想波形的面积作为V0,以及求取该踩踏速度实际波形的面积作为V1;并求取V0-V1的差作为ΔVi,再取得踩踏速度的相对变化量为ΔVi/V0。As shown in Figures 4 and 5, the area of the ideal waveform of the pedaling speed is obtained as V 0 through the integral operation, and the area of the actual waveform of the pedaling speed is obtained as V 1 ; and the value of V 0 -V 1 is obtained The difference is taken as ΔV i , and the relative change in pedaling speed is obtained as ΔV i /V 0 .
依据踩踏速度与力矩之间的关系,取得一修正量c。According to the relationship between pedaling speed and torque, a correction value c is obtained.
依照下述第一公式进行运算:Calculate according to the first formula below:
ΔMi/M0=ΔVi/V0+c………………………………(第一公式)ΔM i /M 0 =ΔV i /V 0 +c……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………
将踩踏速度的相对变化量ΔVi/V0加上修正量c,即得到踩踏力矩的相对变化量ΔMi/M0;其中,M0为产生V0的力矩,M1为产生V1的力矩,M0是经实际实验取得;M0-M1的差值则为ΔMi。通过该踩踏力矩的相对变化量ΔMi/M0即可得出实际踩踏力矩M1作为估计值。其中,该修正量c的取得,是通过预先进行实际踩踏实验来取得踩踏速度的相对变化量ΔVi/V0以及踩踏力矩的相对变化量ΔMi/M0,再将两者相减即取得该修正量c。而此处所指的实际踩踏实验,是备置一实验自行车10’,在该实验自行车10’上通过一速度传感器11’来感测踩踏速度,并外接一力矩传感器17’来感测踩踏力矩。该实验自行车10’的连接示意图显示于图8。在实施上,取得该修正量c后,可以依照实际踩踏实验中得到的数值来定义其表现形态,若在不同踩踏速度下,其数值均差不多(例如误差范围在±100%以内),则取其平均值定义为修正量c,此时该修正量c即为一常数;若在实际踩踏实验中在不同踩踏速度下所得到的数值相差很大(例如误差范围大于100%),则以对照表的方式记录,并将该对照表定义为修正量c,而在依照该第一公式进行运算时对该修正量c以该对照表来取得对应的数值以进行运算,此时该修正量c为一对照表,由于对照表为现有技术,因此容许不再以附图表示。Add the correction c to the relative variation of the pedaling speed ΔV i /V 0 to obtain the relative variation of the pedaling torque ΔM i /M 0 ; where M 0 is the torque that generates V 0 and M 1 is the torque that generates V 1 Moment, M 0 is obtained through actual experiments; the difference between M 0 -M 1 is ΔM i . The actual pedaling torque M 1 can be obtained as an estimated value through the relative variation of the pedaling torque ΔM i /M 0 . Wherein, the correction amount c is obtained by obtaining the relative change amount ΔV i /V 0 of the pedaling speed and the relative change amount ΔM i /M 0 of the pedaling torque through the actual pedaling experiment in advance, and then subtracting the two to obtain The correction amount c. The actual pedaling experiment referred to here is to prepare an experimental bicycle 10', on which a speed sensor 11' is used to sense the pedaling speed, and an external torque sensor 17' is connected to sense the pedaling torque . The connection diagram of the experimental bicycle 10' is shown in FIG. 8 . In practice, after the correction amount c is obtained, its expression form can be defined according to the value obtained in the actual pedaling experiment. If the value is similar at different pedaling speeds (for example, the error range is within ±100%), then take Its average value is defined as the correction amount c, and the correction amount c is a constant at this time; if the values obtained at different pedaling speeds in the actual pedaling experiment are very different (for example, the error range is greater than 100%), then use the control Record in the form of a table, and define the comparison table as the correction amount c, and use the comparison table to obtain the corresponding value for the correction amount c when performing calculations according to the first formula. At this time, the correction amount c It is a comparison table, and since the comparison table is a prior art, it is allowed to no longer represent it with accompanying drawings.
上述步骤中,踩踏速度的相对变化量ΔVi/V0是由V0-V1的差ΔVi与踩踏速度理想波形的面积V0相除而得,因此踩踏速度的相对变化量ΔVi/V0即为不具有单位的数值,因此可以在不考虑单位的情况下来进行运算,该第一公式也即是因此而可通过修正量c与踩踏速度的相对变化量ΔVi/V0来计算出踩踏力矩的相对变化量ΔMi/M0的。同样的,踩踏力矩的相对变化量ΔMi/M0也是不具有单位的数值。在不需考虑单位的情况下,其计算得以更为简化。而由于修正量c是由实验自行车10’进行实体上速度传感器11’所感测到的结果与力矩传感器17’所感测到的结果所取得,因此其会真实的对应实际踩踏的状况,也因此具有极佳的准确性,进而可使得本案所估计得到的实际踩踏力矩M1更为准确,误差更为降低。In the above steps, the relative variation of the pedaling speed ΔV i /V 0 is obtained by dividing the difference ΔV i of V 0 -V 1 by the area V 0 of the ideal waveform of the pedaling speed, so the relative variation of the pedaling speed ΔV i / V 0 is a value without a unit, so it can be calculated without considering the unit. The first formula can therefore be calculated by the relative change of the correction amount c and the pedaling speed ΔV i /V 0 Out of the relative variation of the pedaling torque ΔM i /M 0 . Similarly, the relative change amount ΔM i /M 0 of the pedaling torque is also a numerical value without a unit. Its calculation is simplified by not having to take into account the units. And because the correction amount c is obtained by the result sensed by the speed sensor 11' and the sensed result of the torque sensor 17' by the experimental bicycle 10', so it will truly correspond to the actual pedaling situation, and therefore has The excellent accuracy can further make the actual pedaling torque M1 estimated in this case more accurate, and the error is further reduced.
借此,本发明第一实施例可以不需要在自行车上安装力矩传感器,而仅需安装速度传感器,在骑乘过程进行踩踏速度的感测,并依照本发明第一实施例的技术加以处理及运算后,即可比现有技术更为准确地估计出实际踩踏力矩M1。In this way, the first embodiment of the present invention does not need to install a torque sensor on the bicycle, but only needs to install a speed sensor to sense the pedaling speed during riding, and process and process according to the technology of the first embodiment of the present invention. After calculation, the actual pedaling torque M 1 can be estimated more accurately than the prior art.
综上可知,本发明第一实施例可以由踩踏速度估计出实际踩踏力矩M1,并且达到简化计算及降低误差的效果。In summary, the first embodiment of the present invention can estimate the actual pedaling torque M 1 from the pedaling speed, and achieve the effect of simplifying the calculation and reducing the error.
本发明第二优选实施例所提供的一种利用自行车踏速来估计踩踏力矩的方法,主要内容与前述第一实施例大致相同,不同之处在于:The second preferred embodiment of the present invention provides a method for estimating the pedaling torque by using the pedaling speed of a bicycle, the main content of which is roughly the same as that of the aforementioned first embodiment, except that:
该第一公式进一步修正为一第二公式:The first formula is further modified into a second formula:
ΔMi/M0=t(ΔVi/V0)+c…………………………….(第二公式)ΔM i /M 0 =t(ΔV i /V 0 )+c……………………………………………………………………………………………………………………….
其中,t为扣除掉修正量c之后,ΔMi/M0与ΔVi/V0之间的倍数修正量。Wherein, t is the multiple correction amount between ΔM i /M 0 and ΔV i /V 0 after deducting the correction amount c.
此外,其中,倍数修正量t的取得,是通过预先进行实际踩踏实验来取得踩踏速度的相对变化量ΔVi/V0以及踩踏力矩的相对变化量ΔMi/M0,并依照实验的线性关系取得修正量c及倍数修正量t。此外,如同前述第一实施例所述,本发明第二实施例的实际踩踏实验,同样是备置一实验自行车10’,在该实验自行车10’上通过速度传感器11’来感测踩踏速度,并通过力矩传感器17’来感测踩踏力矩。In addition, the acquisition of the multiple correction t is to obtain the relative variation of the pedaling speed ΔV i /V 0 and the relative variation of the pedaling torque ΔM i /M 0 through the actual pedaling experiment in advance, and follow the linear relationship of the experiment Obtain the correction amount c and the multiple correction amount t. In addition, as described in the aforementioned first embodiment, the actual pedaling experiment of the second embodiment of the present invention is also to prepare an experimental bicycle 10', and the pedaling speed is sensed by the speed sensor 11' on the experimental bicycle 10'. And the pedaling torque is sensed by the torque sensor 17'.
借此,本发明第二实施例可提供更为精准的第二公式,可使得所估计出来的实际踩踏力矩M1更为准确。Therefore, the second embodiment of the present invention can provide a more accurate second formula, which can make the estimated actual pedaling torque M 1 more accurate.
本发明第二实施例的其余技术特征及所能达成的功效均与前述第一实施例大致相同,容不赘述。The rest of the technical features and attainable effects of the second embodiment of the present invention are substantially the same as those of the first embodiment, and will not be repeated here.
通过本案的技术,其是利用了对波形进行积分运算的技术,由于积分运算本身即具有平均效应,因此此种方式可以将波形中非线性的小噪声在积分的过程中予以消除,因此,本案还因此而具有可消除噪声的功能。Through the technology of this case, it uses the technology of integrating the waveform. Since the integral operation itself has an average effect, this method can eliminate the small non-linear noise in the waveform during the integration process. Therefore, this case It also has the function of eliminating noise.
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WO2010094515A1 (en) * | 2009-02-17 | 2010-08-26 | Robert Bosch Gmbh | Method for operating a motor-assisted pedal-operated vehicle, in particular bicycle |
CN102869564A (en) * | 2010-05-06 | 2013-01-09 | 罗伯特·博世有限公司 | Method for estimating a torque and device for estimating a torque for a pedal crank drive |
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CN2441731Y (en) * | 2000-01-24 | 2001-08-08 | 欣锠国际股份有限公司 | Torque sensing device for electric bicycle |
JP4024091B2 (en) * | 2002-06-21 | 2007-12-19 | 松下電器産業株式会社 | Vehicle with auxiliary power |
WO2010094515A1 (en) * | 2009-02-17 | 2010-08-26 | Robert Bosch Gmbh | Method for operating a motor-assisted pedal-operated vehicle, in particular bicycle |
CN102869564A (en) * | 2010-05-06 | 2013-01-09 | 罗伯特·博世有限公司 | Method for estimating a torque and device for estimating a torque for a pedal crank drive |
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