OUTPUT FILTER FOR POWER TRAIN

Abstract

An output filter for a power train includes a piezoelectric transformer, a load element connected across the output of the piezoelectric transformer and an inductor connected to an input of the piezoelectric transformer.

Claims

1. An output filter for a power train, comprising: a piezoelectric transformer; a load element connected across the output of the piezoelectric transformer; and an inductor connected to an input of the piezoelectric transformer.

2. An output filter according to claim 1, comprising a piezoelectric transformer for each of one or more phase lines of the power train, each piezoelectric transformer having a respective load element connected across its output and a respective inductor at its input.

3. An output filter according to claim 2, for a three-phase power train, wherein the output filter has three piezoelectric transformers, one associated with each phase line, three load elements, one for each transformer and three inductors, one for each transformer.

4. An output filter according to claim 2, for a two-phase power train, wherein the damper has two piezoelectric transformers, one associated with each phase line, two load elements, one for each transformer, and two inductors, one for each transformer.

5. An output filter according to claim 2, for a single-phase power train, having a single piezoelectric transformer, a single load element and a single inductor

6. An output filter according to claim 1, for a three-phase power train, wherein the output filter comprises three piezoelectric transformers, one associated with each phase line, and a single load common to all piezoelectric transformers.

7. An output filter according to claim 1, wherein the load element is a resistor.

8. An output filter according to claim 1, wherein the load element is a power converter configured to regenerate switching energy.

9. A power train for a high impedance load, comprising: an input EMC filter for connection to a power supply; a converter connected to an output of the input EMC filter; and an output filter as claimed in claim 1, connected to an output of the converter.

10. The power train of claim 9, further comprising the power supply.

11. The power train of claim 10, further comprising a high impedance load connected to an output of the output filter.

12. The power train of claim 11, wherein the high impedance load is a motor.

13. The power train of claim 11, wherein the high impedance load is connected to the output of the output filter via cables.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

[0020] FIG. 1 is a schematic diagram of the components of a typical power train for a motor.

[0021] FIG. 2a shows a piezoelectric transformer for use in a damper according to this disclosure.

[0022] FIG. 2b is an equivalent circuit of the piezoelectric transformer of FIG. 2a.

[0023] FIG. 3 is a schematic circuit diagram of an output filter according to this disclosure.

[0024] FIG. 4 is a single phase equivalent circuit of an output filter according to this disclosure.

[0025] FIG. 5a shows an ideal transfer function for a conventional RC damper.

[0026] FIG. 5b shows an ideal transfer function of an output filter according to this disclosure.

[0027] FIG. 6 is a three-phase power train incorporating an output filter according to one embodiment of this disclosure.

[0028] FIG. 7 is a single-phase power train incorporating an output filter according to another embodiment of this disclosure.

[0029] FIG. 8 is a three-phase power train with a common load incorporating an output filter according to another embodiment of this disclosure.

[0030] FIG. 9 is a power train with a star arrangement and a possible chassis connection incorporating an output filter according to another embodiment of this disclosure.

[0031] FIG. 10 is a power train with a star arrangement and a possible chassis connection incorporating an output filter according to another embodiment of this disclosure.

DETAILED DESCRIPTION

[0032] The described embodiments are by way of example only. The scope of this disclosure is limited only by the claims.

[0033] A typical power train for a motor is described with reference to FIG. 1. Power is provided from a power supply 1 to a motor 2 along a power train 3. The power from the power supply 1 passes through a converter which comprises, here, an input EMC filter 5 to reduce high frequency electronic noise that may cause interference with other devices, and a main converter 6. An output filter 7 is then generally provided to mitigate transmissions line effects as described above. The converter and input and output filters are mounted to a system chassis, e.g. a copper plate.

[0034] As described above, various solutions have been proposed to address transmission line effects including those in CM mode. The output filter of the present disclosure aims to address transmission line effects without the use of capacitors.

[0035] The present disclosure makes use of a piezoelectric transformer (PZT) to replace the capacitive component of a sinewave filter to recreate the effect of an RLC damper but without the use of a capacitor or resistor.

[0036] Piezoelectric materials have found an increasing number of applications in recent times due to their characteristics that enable electrical energy to be generated due to compressing or lengthening the piezoelectric component.

[0037] PZTs are solid state devices made up of two piezoelectric materials. One generates voltage when compressed, the other lengthens when a voltage is applied. By appropriate selection of the piezoelectric materials, such PZTs can be used as step up or step down transformers.

[0038] FIGS. 2a and 2b show a typical PZT (FIG. 2a) and the circuit equivalent of a PZT (FIG. 2b). From the equivalent circuit it can be seen that if the input (C1) and output (C2) capacitances are removed, or set to zero, the PZT has the equivalent structure of an RLC circuit. This can be used to function as an RLC filter. In addition, a load needs to be added to the output of the PZT to either passively control the overshoot (e.g. a resistive element) or to actively recycle energy (if the load is a converter) and to control the overshoot.

[0039] An RLC filter bases its operation on controlling the dv/dt of the PWM. The traditional design for such an output filter is described in A. von Jouanne and P. N. Enjeti, ‘Design considerations for an inverter output filter to mitigate the effects of long motor leads in ASD applications,’ IEEE transactions on Industry applications, vol. 33, no. 5, pp. 1138-1145, September-October 1997 where it was concluded that the value of the resistance should match the characteristic impedance of the cable in order to minimise losses. This study, however, considered the effects of varying the values of L, C and R to understand their impact on not just losses but also weight, overshoot, volume and electromagnetic compliance (EMC). The study found that the value of L heavily impacts on dv/dt but has little impact on overshoot. The value of C, on the other hand, hardly impacts dv/dt but fully controls the overshoot. The value of R affects both. To minimise weight, losses and achieve a certain overshoot, it was found that the value of R should not necessarily match the characteristic impedance of the cable but should, in some cases, be much lower. In summary, experiments have shown that the parameters of an RLC filter can be selected to achieve a certain overshoot without requiring a resistor with the value of the characteristic impedance of the cable in order to minimise the weight whilst accepting higher losses.

[0040] The arrangement of the present disclosure starts from a sinewave filter and replaces the capacitor of such filter with a loaded piezoelectric transformer (PZT) in order to attain a similar behaviour to the RLC topology discussed above, whilst eliminating the capacitor and having the possibility of recycling the power taken by the resistor.

[0041] The analysis that follows is for simplicity, for a single phase system, but applies correspondingly for two-phase, three-phase or other multi-phase systems.

[0042] The filter is located at the output of the drive to the motor, before the long cables connecting the drive to the motor, and the configuration is analysed to obtain an input impedance Z in which is obtained from the Thevenin equivalent of an RLC circuit such as described in K. K. Yuen and H. S. Chung, “A Low-Loss “RL-plus-C” Filter for Overvoltage Suppression in Inverter-fed Drive System With Long Motor Cable”, in IEEE Transactions on Power Electronics, vol. 30, no. 4, pp. 2167-2181, April 2015.

[0043] FIG. 3 is a circuit diagram showing how such a loaded PZT can be connected to the motor terminal for a three phase system. For each phase line 10a, 10b, 10c there is provided a respective inductor 13a,b,c and a respective PZT 11a, 11b, 11c each loaded with a respective resistive element or converter 12a, 12b, 12c. The same principle can be applied to a single or other multi-phase system. For the sake of simplicity, the structure for a single phase system will be used for the following description.

[0044] FIG. 4 shows the equivalent circuit for a single phase system. The PZT is represented as shown in FIG. 2b to which a resistive load R.sub.L is added across the load capacitor C.sub.2 and an inductor L is added at the input. Z.sub.M is the motor impedance.

[0045] The transfer function of a conventional RC damper is defined using the equation:

[00001]$Z_2\left(s\right)=\hspace{1em}\frac{\begin{array}{c}{s}^3{L}_r{C}_r{C}_z{R}_L{n}^2+s^2\left(C_r{R}_r{C}_z{R}_L+L_r{C}_r{n}^2\right)+\\ s\left(C_r{L}_r+C_r{R}_r{n}^2+C_z{R}_L\right)+1\end{array}}{s^2{C}_r{C}_z{R}_L+{\mathrm{sC}}_r{n}^2}$

[0046] Then, Z.sub.1(s) can be defined as,

[00002]$Z_1\left(s\right)=\frac{Z_2\left(s\right)}{1-{\mathrm{sC}}_1{Z}_2\left(S\right)}$

[0047] and Z.sub.in(s) by,

[00003]$Z_L\left(s\right)=\frac{Z_1\left(s\right)\mathrm{sL}}{Z_1\left(s\right)+\mathrm{sL}}$

[0048] Following the same reasoning, Z.sub.in(s) can be obtained for the case of the traditional LRC filter, which is calculated as:

[00004]$\mathrm{Zin}\left(s\right)=\frac{\mathrm{LRC}+\mathrm{sL}}{s^2\mathrm{LC}+\mathrm{sRC}+1}$

[0049] The objective is for the input impedance Z.sub.in(s) to be equal to Z.sub.0 at high frequencies. This is the condition that guarantees no voltage reflection and thus no overshoot. The other condition that needs to be satisfied is that the impedance needs to be theoretically 0 at lower frequencies to not impact the performance of either driver or motor. Then,

[00005]$Z_{in}\left(s\right)=\{\begin{array}{cc}0& \omega <{\omega }_c\\ Z_0& \omega \ge {\omega }_c\end{array}$

[0050] Therefore the objective is to attain a similar transfer function for the proposed filter. In order to analyse the position of the zeroes and the poles, C.sub.2 has been eliminated and R.sub.L and C.sub.1 are considered as a single entity. This simplification can be done because C.sub.2 only causes effects at very high frequencies that are not of interest here. Then, Z.sub.in(s) can be written for the proposed filter as,

[00006]$Z_{\mathrm{in}}\left(s\right)=\frac{\left(s^2{L}_r{C}_r+{\mathrm{sC}}_r{R}_L+1\right)\mathrm{sL}}{s\left(C_r+C_1\right)\left(s^2{L}_r{C}_{\mathrm{eq}}+{\mathrm{sC}}_{\mathrm{eq}}{R}_L+1\right)+\mathrm{sL}}$

[0051] and where C.sub.eq can be defined by,

[00007]$C_{\mathrm{eq}}=\frac{C_1{C}_r}{C_r+C_1}$

[0052] FIG. 5a and FIG. 5b show the ideal transfer function for the traditional LRC filter and the proposed solution, respectively. In the case of the position of zeroes and poles for the proposed solution not all have been considered and only the most important ones have been detailed. As can be seen, the low frequency performance of both filters is identical if the PZT output filter is well designed, the difference starts for really high frequencies (out of the range of interest here) at which the transmission line effect is diminished. In addition, it is also important to diminish the value of L.sub.r in order to push f.sub.p2 as far as possible. FIG. 6 shows a comparison of a custom PZT with similar characteristics to the traditional LRC filter, showing that the transfer function is identical for low frequencies as stated before. In addition, the comparison between the approximation and the actual transfer function shows the accuracy of the approximation. This analysis shows the mathematical validation for the filter to show its potential. But as has been discussed before, matching the value of the resistor to Z.sub.0 is not a proper way to have an optimized for aerospace filter.

[0053] If, instead of a resistor load, the PZT is loaded with a converter, this value RL can be controlled to enable recycling of energy and also to adapt the power within a certain range.

[0054] The load can also be adjusted to work for cables of different lengths.

[0055] FIGS. 6 to 10 show some alternative ways, as examples only, of how the concept of this disclosure can be implemented in a power train.

[0056] All of FIGS. 6 to 10 show, schematically, a filter 20 according to the disclosure connected at the terminals of a load—i.e. here a motor 21. The motor 21 is connected to a power source 22 (here a PWM-based power source) via cables 23 which can be very long. The filter 20 is located at the output of the drive.

[0057] FIG. 6 shows a three phase system in which the structure of the damper 20 is the same as shown and described in relation to FIG. 3. The same reference numerals are used for corresponding components in FIG. 6.

[0058] FIG. 7 shows a single phase system, where the damper 20′ comprises a single PZT 11′ loaded with a resistive element 12′ or a converter.

[0059] FIG. 8 shows a three phase system similar to that of FIG. 6 but all three PZTs 11a, 11b, 11b share the same load 12″.

[0060] FIG. 9 shows an alternative three phase system where the damper structures for each phase (here a block 15a, 15b, 15c, 15d) representing a loaded PZT as previously described, are arranged in a star configuration 20″ where the start point may be connected to the system chassis directly or via an additional damper 5d. In such an arrangement, some of the loads may be passive and some active.

[0061] FIG. 10 shows the filter structures arranged in a ‘wye’ configuration 20′″ referenced to the system chassis either directly or via additional dampers 15e, 15f, 15g.

[0062] The output filter can be used in a power train with a PWM based source to manage transmission line effects. The damper can also reduce dv/dt at the motor terminals, reduced common mode currents and reduce stress on the motor windings.

[0063] The description is of preferred embodiments only. The scope of protection is defined by the claims.