TEMPERATURE OF A LINK CAPACITOR
20170219441 · 2017-08-03
Assignee
Inventors
- Klaus DOPPELHAMMER (St. Martin/i.M., AT)
- Johann EDER (Michaelbeuern, AT)
- Gerhard MAYRHOFER-HUBER (St. Georgen im Attergau, AT)
Cpc classification
G01K2217/00
PHYSICS
International classification
Abstract
To determine the temperature of a link capacitor (C) of a link converter (1) more accurately with less expenditure, a device and a method are described, in which the link capacitor (C) is modeled as a series interconnection of an equivalent capacitance (CS) and an equivalent series resistance (ESR), wherein a modeled capacitor current (i.sub.Cm) flows across the equivalent series resistance (ESR). A modeled capacitor power loss (P.sub.C), from which the capacitor temperature (T.sub.C) is determined by means of a specified temperature model, is calculated from the modeled capacitor current (i.sub.Cm,) and the value of the equivalent series resistance (ESR) by means of a first relationship of the form P.sub.C=f (i.sub.Cm, ESR). Direct measurement of the capacitor temperature (T.sub.C), of the capacitor current (i.sub.C), or of the capacitor power loss (P.sub.C) is not required. For example, a measurement of the capacitor voltage (u.sub.C) and a further calculation of the modeled capacitor current i.sub.Cm and finally of the capacitor power loss (P.sub.C) are sufficient. The method can be used for the monitoring and processing of the capacitor temperature (T.sub.C), particularly the switching-off of an element, preferably at least part of the link converter (1), when a maximum temperature, such as a preset maximum temperature, is exceeded. The method can also be used to determine the temporal progression of the capacitor temperature (T.sub.C(t)) and also to determine the remaining service life (RL) of the link capacitor (C) of a specified relationship, preferably by means of the Arrhenius formula.
Claims
1. A method for determining a capacitor temperature (T.sub.C) of a link capacitor (C) of a link converter (1), which contains at least one n-phase inverter (5), wherein the link capacitor (C) is modeled as a series interconnection of an equivalent capacitance (CS) and an equivalent series resistance (ESR) and a modeled capacitor current (iCm) flows across the equivalent series resistance (ESR) and that a modeled capacitor power loss (P.sub.C), from which the capacitor temperature (T.sub.C) is determined by a specified temperature model, is calculated from the modeled capacitor current (i.sub.Cm) and the value of the equivalent series resistance (ESR) by a first relationship of the form P.sub.C=f(i.sub.Cm, ESR).
2. The method according to claim 1, wherein the first relationship P.sub.C=i.sub.Cm.sup.2 ESR is used.
3. The method according to claim 1, wherein the modeled capacitor current (i.sub.Cm) is modeled by using a measured capacitor voltage (u.sub.C) and the equivalent capacitance (CS), wherein a second relationship of the form i.sub.Cm=f(u.sub.C, CS) is used.
4. The method according to claim 3, wherein the second relationship
5. The method according to claim 1, wherein the modeled capacitor current (i.sub.Cm) is split into a low-frequency component (i.sub.CL) and a high-frequency component (i.sub.CP), wherein the low-frequency component of the modeled capacitor current (i.sub.CL) is used to determine a first modeled power loss (P.sub.CL) and the high-frequency component of the modeled capacitor current (i.sub.CP) is used to determine a second modeled power loss (P.sub.Cp) and the modeled capacitor power loss (P.sub.C) is calculated from the sum of the first modeled power loss (P.sub.CL) and the second modeled power loss (P.sub.CP).
6. The method according to claim 5, wherein the low-frequency component of the modeled capacitor current (i.sub.CL) is determined by mean-filtering the capacitor voltage (u.sub.C) and/or a time derivative of the capacitor voltage
7. The method according to claim 5, wherein the high-frequency component of the modeled capacitor current (i.sub.CP) is calculated from an inverter current (i.sub.INV) caused by the inverter (5).
8. The method according to claim 7, wherein the square of the high-frequency component of the modeled capacitor current (i.sub.CP.sup.2) is calculated by determining the square of the arithmetic mean of the inverter current (
9. The method according to claim 8, wherein the arithmetic mean of the inverter current (
10. The method according to claim 8, wherein the arithmetic mean of the squared inverter current (
11. A device for determining the capacitor temperature (T.sub.C) of a link capacitor (C) of a link (6) of a link converter (1), wherein a calculating unit (BE) is present, which models the link capacitor (C) as a series interconnection of an equivalent capacitance (CS) and an equivalent series resistance (ESR), wherein a modeled capacitor current (i.sub.Cm) flows across the equivalent series resistance (ESR) and a modeled capacitor power loss (P.sub.C) is calculated from the modeled capacitor current (i.sub.Cm) and the value of the equivalent series resistance (ESR) by a relationship of the form P.sub.C=f(i.sub.Cm, ESR) and the capacitor temperature (T.sub.C) is determined therefrom by means of a specified temperature model (M).
12. The device according to claim 11, wherein a differentiating unit (D) and a voltage-measuring unit (V) are present, wherein the voltage-measuring unit (V) determines a capacitor voltage (u.sub.C) present at the link capacitor (C) and feeds said capacitor voltage (u.sub.C) to the differentiating unit (D) and the differentiating unit (D) determines the modeled capacitor current (i.sub.Cm).
13. The device according to claim 11, wherein a low-frequency unit (BL) is present, which is designed to calculate a low-frequency component of the modeled capacitor current (i.sub.CL) in that a number of low-pass filters (TP) is provided before and/or after the differentiating unit (D).
14. The device according to claim 11, wherein a high-frequency unit (BP) is present, which calculates a high-frequency component of the modeled capacitor current (i.sub.CP) from an inverter current (i.sub.INV) caused by the inverter (5).
15. The device according to claim 14, wherein a number of mean calculators (MWB) is present, which calculate a mean of the inverter current (
16. A method for the monitoring and processing of a capacitor temperature (.sub.C), comprising: determining the capacitor temperature (T.sub.C) of a link capacitor (C)) according to claim 1.
17. A method to determine the temporal progression of a capacitor temperature (T.sub.C(t)) and to determine a remaining service life (RL) of the link capacitor(C) from a temporal progression of the capacitor temperature (T.sub.C(t)) by a specified relationship, comprising: determining the capacitor temperature (T.sub.C) of a link capacitor (C)) according to claim 1.
18. The method according to claim 16, further comprising switching-off of an element of the link converter (1) when a maximum temperature is exceeded.
19. The method according to claim 17, wherein the specified relationship comprises the Arrhenius formula.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0027] The present invention is illustrated in more detail below with reference to
[0028]
[0029]
[0030]
[0031]
[0032]
[0033]
[0034]
DETAILED DESCRIPTION OF THE EMBODIMENTS
[0035] The particulars shown herein are by way of example and for purposes of illustrative discussion of the embodiments of the present invention only and are presented in the cause of providing what is believed to be the most useful and readily understood description of the principles and conceptual aspects of the present invention. In this regard, no attempt is made to show structural details of the present invention in more detail than is necessary for the fundamental understanding of the present invention, the description taken with the drawings making apparent to those skilled in the art how the several forms of the present invention may be embodied in practice.
[0036] As an example of the use of a link converter 1, a simplified circuit diagram of a servo amplifier is shown in
[0037]
[0038] In a calculating unit BE, a modeled capacitor power loss P.sub.C is calculated in a power-calculating unit 10 from the modeled capacitor current i.sub.Cm and the value of the equivalent series resistance ESR by means of a first, specified relationship of the form P.sub.C=f(i.sub.C, ESR), for example P.sub.C=i.sub.C.sup.2 ESR. Furthermore, according to the invention, the present capacitor temperature T.sub.C is determined from the modeled capacitor power loss P.sub.C by means of a known temperature model 11 implemented in a model component M, as shown in
[0039]
[0040] The modeled capacitor current i.sub.Cm can be modeled, for example, by using the measured capacitor voltage u.sub.C and the equivalent capacitance CS, wherein a second relationship of the form i.sub.C=f(u.sub.C, CS), for example
can be used.
[0041] The time derivative can, for example, be in the form of a discrete derivative over a discrete time span ΔT with a time index k:
[0042] The discrete time span ΔT thus corresponds to the inverse sampling rate and generally lies far above the inverse of the PWM switching frequency. Expressed in frequencies, the sampling frequency lies far below the PWM switching frequency, and therefore high-frequency components of the modeled capacitor current i.sub.Cm would be cut off undesirably. Therefore, to calculate the modeled capacitor current i.sub.on directly by means of this approach, a sampling frequency as a multiple of the PWM switching frequency would be necessary in the case of the discrete implementation of the derivative, thus resulting in a sampling frequency in the MHz range. Although this would be technically possible, it would in general often be uneconomical because of the necessary components and additionally might cause further problems, such as problems regarding electromagnetic compatibility (EMC).
[0043] Therefore, an advantageous embodiment of the determination of the modeled capacitor current i.sub.Cm is described below on the basis of
[0044] The modeled capacitor current i.sub.Cm is advantageously split into a low-frequency component i.sub.CL and a high-frequency component i.sub.CP (also called pulse-frequency component), wherein the low-frequency component i.sub.CL of the capacitor current i.sub.Cm is used to determine a first power loss P.sub.CL and the high-frequency component i.sub.CP of the capacitor current is used to determine a second power loss P.sub.CP. The capacitor power loss P.sub.C is calculated from the sum of the first power loss P.sub.CL and the second power loss P.sub.CP.
P.sub.C=P.sub.CL+P.sub.CP=i.sub.C.sup.2ESR=i.sub.CL.sup.2ESR.sub.L+i.sub.CO.sup.2ESR.sub.P
[0045] Strictly speaking, the squares of the high-frequency component i.sub.CP.sup.2 and of the low-frequency component i.sub.CL.sup.2 of the capacitor current are processed. The splitting of the square of the capacitor current i.sub.C.sup.2 into the sum of the squares of the low-frequency component i.sub.CL.sup.2 and of the high-frequency component i.sub.CP.sup.2 is possible for all signals (including aperiodic signals) that are split into a direct component (zero-mean) and into an alternating component in the interval in which the mean calculation has occurred. In the case of sinusoidal oscillations, the product i.sub.CL.Math.i.sub.CP is integrated, for example over one period, and is equal to zero because of the orthogonality of the sinusoidal oscillations. Quantitatively, the first power loss P.sub.CL and the second power loss P.sub.CP are approximately equal, and the equivalent series resistance ESR is split into the equivalent series resistances ESR.sub.L and ESR.sub.P, which in turn are known in advance and can be obtained, for example, from the data sheet of the link capacitor.
[0046] A low-frequency unit BL preferably arranged in the calculating unit BE performs the calculation of the low-frequency component of the capacitor current i.sub.CL by mean-filtering the capacitor voltage u.sub.C and/or the time derivative of the capacitor voltage
and/or the modeled capacitor current i.sub.Cm. For this purpose, a low-pass filter TP can be arranged before a differentiating unit D, as shown in
Mean-filtering of the determined modeled capacitor current i.sub.C would also be possible. What is important is that the high-frequency components are cut off. As indicated in
[0047] The cause of the low-frequency component of the modeled capacitor current i.sub.CL should be sought primarily on the side of the rectifier 4, wherein low-frequency processes such as load changes on the side of the inverter 5 also exhibit influences. The high-frequency component of the modeled capacitor current i.sub.CP is generally caused by the high-frequency switching in the inverter 5. If a PWM control system is used, the high-frequency frequency component is the PWM switching frequency and above, thus usually 5 kHz and above. Accordingly, frequencies below the PWM switching frequency should be regarded as the low-frequency component. Because the capacitor voltage u.sub.C at the link capacitor C is measured, low-frequency components from the electric motor 3 are also taken into account, in essence, and not only low-frequency components from the rectifier 4.
[0048] If a link converter 1 is fed by the supply network 2 (for example, a 50-Hz three-phase network, as shown in
[0049] The high-frequency component of the modeled capacitor current i.sub.CL is calculated in a high-frequency unit BP, as described on the basis of
[0050] For a general pulse pattern of the upper switches S.sub.1, S.sub.2, S.sub.3 of a 3-phase inverter 5, the phase currents i.sub.1, i.sub.2, i.sub.3 of the inverter 5 according to the following table result:
TABLE-US-00001 S.sub.1 S.sub.2 S.sub.3 I.sub.INV 0 0 0 0 0 0 1 i.sub.3 0 1 0 i.sub.2 0 1 1 −i.sub.1 1 0 0 i.sub.1 1 0 1 −i.sub.2 1 1 0 −i.sub.3 1 1 1 0
[0051] For easier illustration, the general pulse pattern is also shown in
i.sub.INV=S.sub.1i.sub.1+S.sub.2i.sub.2+S.sub.3(−i.sub.1−i.sub.2)
[0052] Of course, all phase currents i.sub.1, i.sub.2, i.sub.3 or the inverter current i.sub.INV could also be measured directly. The phase currents i.sub.1, i.sub.2, i.sub.3 are usually measured in a link converter 1 and therefore are available. The high-frequency component of the modeled capacitor current i.sub.CP (or the square of the high-frequency component i.sub.CP.sup.2) can be calculated from the inverter current i.sub.INV by means of the following method:
[0053] The square of the high-frequency component of the modeled capacitor current i.sub.CP.sup.2 is calculated by determining the arithmetic mean
[0054] The calculation of the mean of the inverter current advantageously occurs in a time-discrete manner. With a first sampling rate T.sub.S1, a first number N.sub.1 of sample values of the inverter current i.sub.INV arises in a first time span T.sub.1. Furthermore, the N.sub.1 sample values of the inverter current i.sub.INV are summed and divided by the first number N.sub.1.
[0055] Similarly, with a second sampling rate T.sub.S2 in a second time span T.sub.2, a second number N.sub.2 of sample values of the squared inverter current i.sub.INV.sup.2 can be produced in a time-discrete manner. Furthermore, the N.sub.1 sample values of the squared inverter current i.sub.INV.sup.2 are summed and divided by the second number N.sub.2.
[0056] The arithmetic mean of the inverter current
[0057] In
[0058] Therefore, for the arithmetic mean calculation, N sample values of the inverter current i.sub.INV in the time span T are summed and then divided by the number of recorded sample values. To determine the arithmetic mean of the square
[0059] The square of the high-frequency component of the modeled capacitor current i.sub.CP is then multiplied by the high-frequency equivalent resistance ESR.sub.P to calculate the second power loss P.sub.CP. The first power loss P.sub.CL and the second power loss P.sub.CP are added to obtain the capacitor power loss P.sub.C.
[0060] In
[0061] In
[0062] As shown in
[0063] It is expressly noted that the method according to the invention can also be applied to link converters 1 having several inverters 5 on the output side. Here, several inverters 5 are connected in parallel to the DC link 6. In this case, the high-frequency component of the modeled capacitor current i.sub.CP can be calculated in a manner similar to that described above, wherein the currents i.sub.INVi are summed over the i inverters 5 to calculate the current i.sub.INV. This sum is used for the further calculation of the arithmetic mean
[0064] It is noted that the foregoing examples have been provided merely for the purpose of explanation and are in no way to be construed as limiting of the present invention. While the present invention has been described with reference to an exemplary embodiment, it is understood that the words which have been used herein are words of description and illustration, rather than words of limitation. Changes may be made, within the purview of the appended claims, as presently stated and as amended, without departing from the scope and spirit of the present invention in its aspects. Although the present invention has been described herein with reference to particular means, materials and embodiments, the present invention is not intended to be limited to the particulars disclosed herein; rather, the present invention extends to all functionally equivalent structures, methods and uses, such as are within the scope of the appended claims.