Switching Circuit with Snubber Components
20220368246 · 2022-11-17
Inventors
Cpc classification
H02M7/483
ELECTRICITY
H02M7/4835
ELECTRICITY
International classification
Abstract
A switching circuit for a voltage source converter includes a string of series-connected switches and a string of capacitors. A first conductor interconnects a first end of the string of series-connected switches with a first end of the string of capacitors at a first switch and a second conductor interconnects a second end of the string of series-connected switches with a second end of the string of capacitors at a second switch. A first string of components is connected between the first end of the string of series-connected switches and the first end of the string of capacitors and includes a snubber component for the first switch. A second string of components is connected between the second end of the string of series-connected switches and the second end of the string of capacitors and includes a snubber component for the second switch.
Claims
1. A switching circuit for a voltage source converter, the switching circuit comprising: a string of series-connected switches comprising a first and a second switch; a string of capacitors; a first conductor interconnecting, at the first switch, a first end of the string of series-connected switches with a first end of the string of capacitors; a second conductor interconnecting, at the second switch, a second end of the string of series-connected switches with a second end of the string of capacitors; a first string of components connected between the first end of the string of series-connected switches and the first end of the string of capacitors, wherein the first string of components comprises a snubber component for the first switch; and a second string of components connected between the second end of the string of series-connected switches and the second end of the string of capacitors, wherein the second string of components comprises a snubber component for the second switch.
2. The switching circuit according to claim 1, wherein the first string of components comprises a first snubber resistor and a first snubber capacitor for the first switch and the second string of components comprises a second snubber resistor and a second snubber capacitor for the second switch.
3. The switching circuit according to claim 2, wherein the first snubber capacitor has a capacitance value set based on a corresponding stray capacitance between terminals of the first switch and wherein the second snubber capacitor has a capacitance value set based on a corresponding stray capacitance between terminals of the second switch.
4. The switching circuit according to claim 3, wherein each snubber capacitor has a capacitance value set as a function of the corresponding stray capacitance and a damping factor.
5. The switching circuit according to claim 4, wherein, for each snubber capacitor, the function comprises a relationship between a polynomial of the damping factor and the corresponding stray capacitance.
6. The switching circuit according to claim 5, wherein the first snubber resistor has a resistance value set as a function of the damping factor, the corresponding stray capacitance between the terminals of the first switch, and a stray inductance of a loop formed between the string of switches and the string of capacitors using the first conductor; wherein the second snubber resistor has a resistance value set as a function of the damping factor, the corresponding stray capacitance between the terminals of the second switch, and a stray inductance of a loop formed between the string of switches and the string of capacitors using the second conductor; and wherein the stray inductance of the loop formed between the string of switches and the string of capacitors using the first conductor and the stray inductance of the loop formed between the string of switches and the string of capacitors using the second conductor forming a loop stray inductance.
7. The switching circuit according to claim 6, wherein, for each snubber resistor, the resistance value is set as a combination of a first expression based on the damping factor and a second expression based on the loop stray inductance divided by the corresponding stray capacitance.
8. The switching circuit according to claim 7, wherein, for each snubber resistor, the first expression is the inverse of the polynomial of the damping factor and the second expression is based on the square root of the stray inductance divided by the corresponding stray capacitance and a further polynomial of the damping factor.
9. The switching circuit according to claim 4, wherein the damping factor is set as a fixed value and selected from the range of 0.25 and 0.45 and with advantage is set at 0.35.
10. The switching circuit according to claim 4, wherein the damping factor is set based on a quotient between a stray inductance of the first and second string of components and a loop stray inductance, the loop stray inductance based on the stray inductance of the loop formed between the string of switches and the string of capacitors using the first conductor and the stray inductance of the loop formed between the string of switches and the string of capacitors using the second conductor.
11. The switching circuit according to claim 10, wherein the damping factor is the damping factor corresponding to an absolute damping that is maximized at the quotient.
12. The switching circuit according to claim 11, wherein the absolute damping factor is obtained based on at least one pole in a polynomial of an impedance of the switching circuit.
13. The switching circuit according to claim 10, wherein the damping factor is a damping factor that is maximized at the quotient.
14. The switching circuit according to claim 1, wherein the voltage converter is a two-level converter.
15. The switching circuit according to claim 1, where the switching circuit is a cell of modular multilevel converter.
16. The switching circuit according to claim 3, wherein the first snubber resistor has a resistance value set as a function of a damping factor, the corresponding stray capacitance between the terminals of the first switch and a stray inductance of a loop formed between the string of switches and the string of capacitors using the first conductor; and wherein the second snubber resistor has a resistance value set as a function of the damping factor, the corresponding stray capacitance between the terminals of the second switch and a stray inductance of a loop formed between the string of switches and the string of capacitors using the second conductor.
17. A switching circuit for a voltage source converter, the switching circuit comprising: a string of series-connected switches comprising a first and a second switch; a string of capacitors; a first conductor interconnecting, at the first switch, a first end of the string of series-connected switches with a first end of the string of capacitors; a second conductor interconnecting, at the second switch, a second end of the string of series-connected switches with a second end of the string of capacitors; a first string of components connected between the first end of the string of series-connected switches and the first end of the string of capacitors, wherein the first string of components comprises a first snubber resistor and a first snubber capacitor for the first switch, wherein the first snubber capacitor has a capacitance value set as a function of a damping factor and a corresponding stray capacitance between terminals of the first switch, the damping factor being set as a fixed value between 0.25 and 0.45 and with advantage is set at 0.35 and the function comprising a relationship between a polynomial of the damping factor and the corresponding stray capacitance; and a second string of components connected between the second end of the string of series-connected switches and the second end of the string of capacitors, wherein the second string of components comprises a second snubber resistor and a second snubber capacitor for the second switch, wherein the second snubber capacitor has a capacitance value set as a function of a damping factor and a corresponding stray capacitance between terminals of the second switch, the function comprising a relationship between a polynomial of the damping factor and the corresponding stray capacitance.
18. A switching circuit for a voltage source converter, the switching circuit comprising: a string of series-connected switches comprising a first and a second switch; a string of capacitors; a first conductor interconnecting, at the first switch, a first end of the string of series-connected switches with a first end of the string of capacitors; a second conductor interconnecting, at the second switch, a second end of the string of series-connected switches with a second end of the string of capacitors; a first string of components connected between the first end of the string of series-connected switches and the first end of the string of capacitors, wherein the first string of components comprises a first snubber resistor and a first snubber capacitor for the first switch, wherein the first snubber capacitor has a capacitance value set as a function of a damping factor and a corresponding stray capacitance between terminals of the first switch, the function comprising a relationship between a polynomial of the damping factor and the corresponding stray capacitance; and a second string of components connected between the second end of the string of series-connected switches and the second end of the string of capacitors, wherein the second string of components comprises a second snubber resistor and a second snubber capacitor for the second switch, wherein the second snubber capacitor has a capacitance value set as a function of a damping factor and a corresponding tray capacitance between terminals of the second switch, the function comprising a relationship between a polynomial of the damping factor and the corresponding stray capacitance; wherein the damping factor is set based on a quotient between a stray inductance of the first and second string of components and a loop stray inductance, the loop stray inductance based on the stray inductance of the loop formed between the string of switches and the string of capacitors using the first conductor and the stray inductance of the loop formed between the string of switches and the string of capacitors using the second conductor.
19. The switching circuit according to claim 18, wherein the damping factor is the damping factor corresponding to an absolute damping that is maximized at the quotient.
20. The switching circuit according to claim 19, wherein the absolute damping factor is obtained based on at least one pole in a polynomial of an impedance of the switching circuit.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0024] The present invention will in the following be described with reference being made to the accompanying drawings, where
[0025]
[0026]
[0027]
[0028]
[0029]
[0030]
[0031]
[0032]
DETAILED DESCRIPTION OF THE INVENTION
[0033] In the following, a detailed description of preferred embodiments of a switching circuit will be given.
[0034]
[0035]
[0036] A switching circuit may thus be a cell for a voltage source converter or it may be a voltage source converter. It can thereby also be seen that a voltage source converter may be a switching circuit or it may comprise a switching circuit.
[0037]
[0038] In the case of the switching circuit being a two-level converter, the conductors 16 and 18 may be realized as DC power busbars. In case the switching circuit is a cell, it is possible that the conductors 16 and 18 may be conductor traces on a circuit board, as is indicated in
[0039] Each switch S1 and S2 has a stray capacitance C.sub.stray. A loop formed by the two conductors 16 and 18, the string of switches and the string of capacitors has a stray inductance L.sub.loop, where a first half of the stray inductance of the loop L.sub.loop/2 may be considered as provided by the first conductor 16 and a second half of the stray inductance of the loop L.sub.loop/2 may be considered as provided by the second conductor 18. In order to dampen the ringing caused by the stray capacitances and stray inductance there is a first string of components connected between the first end of the string of series-connected switches S1 and S2 and the first end of the string of capacitors C1 and a second string of components connected between the second end of the string of series-connected switches S1 and S2 and the second end of the string of capacitors C1, where the first string of components comprises at least one snubber component for the first switch S1 and the second string of components comprises at least one snubber component for the second switch S2. The stray capacitance C.sub.stray may be inherent in the transistors and diodes of the switches. This stray capacitance C.sub.stray can therefore be seen as the capacitance between the connection terminals used for connecting the switch in the string of switches. The stray inductance L.sub.loop is mostly contributed by the conductors 16 and 18 that connect the string of switches with the string of capacitors. However, the transistors and the diodes may make a minor contribution. The stray inductances L.sub.loop/2 and stray capacitances C.sub.stray are thus not any components, but parasitic quantities appearing in the switching circuit 15.
[0040] In the example given in
[0041] As was mentioned earlier the stray inductance L.sub.loop and the stray capacitance C.sub.stray the switching circuit 15 cause ringing to occur across stray of the switches S1 and S2. The first and second string of snubber components are provided in order to dampen the ringing, where the first string of snubber components is connected in parallel with the first conductor 16 and the second string of snubber components is connected in parallel with the second conductor 18. The first and second snubber resistors 20 and 24 may together be seen as providing a snubber resistance R.sub.snub, and thereby the first resistor 20 may have a resistance of while the second resistor 24 may be seen as having a resistance of R.sub.snub/2. In a similar manner the two snubber capacitors 22 and 26 may together be seen as providing a snubber capacitance C.sub.snub. Thereby the first capacitor 22 may have a capacitance of 2*C.sub.snub, while the second capacitor 26 may have a capacitance of 2*C.sub.snub. Furthermore, the two strings of snubber components may together also have a stray inductance or snubber inductance L.sub.snub. Thereby the first string of snubber components may be seen as having a stray inductance L.sub.snub/2 and the second string of snubber components may be seen as having a stray inductance of L.sub.snub/2.
[0042] As can be seen in
[0043] The first and second strings of snubber components can give good damping even if not being tightly installed, for instance if L.sub.snub is as large as L.sub.loop.
[0044] With this type of placing, the rating of the snubber components can be lowered considerably. The components do not have to be rated for the full DC voltage of the string of capacitors. They only need to withstand the voltage fluctuations occurring across half the loop inductance.
[0045] In practice and as can be seen in
[0046] In order to provide an efficient damping, it may be of advantage if the values of the snubber components are selected in a special way. One way in which the component value selection can be carried out is described below.
[0047] Initially, the snubber stray inductance may be neglected, i.e. L.sub.snub=0.
[0048] Furthermore, since only one of the two transistor switches is turned on at any time, the impedance seen from the string of capacitors comprising the capacitor C1 can approximately be given by
[0049] The numerator polynomial of Z(s) equals
[0050] Equation (2) is the characteristic polynomial for the circuit dynamics and it can be factorized as
(s+a)(s.sub.2+2ζω.sub.1s+ω.sub.1.sup.2) (3)
[0051] Expanding (3) and identifying its coefficients with those of (2) allows C.sub.snub, R.sub.snub, and a to be solved as functions of ω.sub.1, ζ, and the commutation-loop parameters L.sub.loop and C.sub.stray. To save space, these functions are omitted. The relative damping is a design parameter free to choose, e.g., as ζ=1 to obtain critical damping. Rather than picking C.sub.snub in an unsystematic way, it makes sense to minimize C.sub.snub, given the desired ζ. The minimum capacitance can be obtained by solving for ω.sub.1 in δC.sub.snub/δω.sub.1, giving ω.sub.1=ω.sub.0√{square root over (2ζ+1)}, where ω.sub.0=√{square root over (L.sub.loopC.sub.stray)}. Substitution thereof in the functions for C.sub.snub and R.sub.snub then yields
[0052] As can be seen in equation (4), each snubber capacitor has a value set in dependence of the stray capacitance C.sub.stray. It can also be seen that the value is set as a function of the stray capacitance C.sub.stray and the damping factor ζ. As can also be seen in equation (4), the function may additionally comprise a relationship between the stray capacitance C.sub.stray and a polynomial of the damping factor ζ, where the polynomial is a second order polynomial.
[0053] As can also be seen in equation (4) each snubber resistor has a value set as a function of the damping factor ζ, the stray capacitance C.sub.stray and the loop stray inductance L.sub.loop. The resistor value is more particularly set as a combination of a first expression based on the damping factor ζ and a second expression based on the loop stray inductance L.sub.loop divided by the stray capacitance C.sub.stray, where the first expression is the inverse of the second order polynomial of the damping factor ζ and the second expression is based on the square root of the stray inductance L.sub.loop divided by the stray capacitance C.sub.stray and a polynomial of the damping factor ζ, which is a third order polynomial of the damping factor.
[0054] The snubber stray inductance can now be considered. The inclusion of the snubber stray inductance L.sub.snub implies that the third-degree characteristic polynomial (2) is modified to a fourth-degree polynomial. Applying (4), introducing the normalized Laplace variable {tilde over (s)}=s/ω.sub.0, and letting L.sub.snub=qL.sub.loop allows this characteristic polynomial to be expressed in the following dimensionless form:
q{tilde over (s)}.sup.4+k.sub.3{tilde over (s)}.sup.3+k.sub.2{tilde over (s)}.sub.2+k.sub.1{tilde over (s)}+k.sub.0 (5)
[0055] where
[0056] Equation (5) can be converted into a transfer function with a numerator and a denominator, where the denominator is of interest for the damping.
[0057] The denominator is of the general form (s.sup.2+σ.sub.1s+ω.sub.1.sup.2)*(s.sup.2+σ.sub.2s+ω.sub.2.sup.2), where each set of parentheses provides a complex conjugated pole pair.
[0058] It can be seen in equations (5) and (6) that the damping factor is set based on a quotient q between the snubber inductance, i.e. the stray inductance of the first and second string of components, and the loop stray inductance. A suitable choice of ζ as a function of q is one which maximizes the damping of the circuit. The damping factor ζ may thus be a damping factor that is maximized at the quotient q. Clearly, for q=0 this choice is ζ=1, since the circuit then is critically damped. For q>0, the switching transients are mainly governed by the dominant pole pair of (5), i.e., the pole pair that is located closest to the origin. The exponential decay of the ringing is mainly determined by the real part of this pole pair. In the following the expression absolute damping is used, which absolute damping is the absolute value of this real part.
[0059] Since (5) is normalized with the undamped angular resonant frequency ω.sub.0, which is not a function of the snubber parameters, maximizing the absolute damping may be a better strategy than maximizing the relative damping; the switching transient then rings out in the shortest possible time. The damping factor that is used may therefore be a damping factor that corresponds to an absolute damping factor that is maximized at the quotient q, where the absolute damping factor is obtained based on at least one pole in a dominant pole pair of a polynomial of the impedance of the switching circuit, which polynomial is the above-described characteristic polynomial that has been adjusted with the snubber stray inductance.
[0060] By invoking a numerical search algorithm that maximizes the absolute damping, the desired selection of as a function of q is found as the solid curve in
[0061] It is reiterated that damping maximization requires knowledge of the quotient q=L.sub.snub/L.sub.loop, allowing in the snubber design procedure to be chosen according to the solid curve in
[0062] It may be hard to determine the stray inductance L.sub.snub of the strings of snubber components. Therefore, it is possible that q is inaccurate. To circumvent this, ζ can be fixed and selected from the range of 0.25 and 0.45 and with advantage be set as 0.35. With a value of 0.35 equal absolute damping is obtained for the extremes q=0 and q=1. This is thus achieved for ζ=0.35. Such a damping is shown as a straight dashed line in
[0063] To conclude, it has been shown that setting ζ=0.35 in (4) gives adequate damping for any L.sub.snub in the range [0, L.sub.loop]. For ζ=0.35, the following special case of (4) is obtained:
[0064] As can be seen the snubber component values are set based on the stray capacitances and stray inductances of the switching circuit. The transistor stray capacitance may as an example be obtained from a datasheet of the used components, while the loop stray inductance may as an example be obtained through turn-on and turn-off experiments of the switching circuit without snubber components. From these experiments a frequency can be obtained. It is then possible to extract the loop stray inductance from the frequency with knowledge about the stray capacitance.
[0065] The invention can be varied in a multitude of ways. Although the only examples of switches given above are pairs of IGBTs with anti-parallel diodes, it should be realized that other switches are possible. It is for instance possible with junction gate field-effect transistors (JFET) and metal oxide semiconductor field effect transistors (MOSFET) with or without anti-parallel diodes as well as integrated gate-commutated thyristors (IGCT) or gate turn-off thyristors (GTO), with anti-parallel diodes. It should also be realized that if the switching circuit is a cell, it is not limited to a half-bridge cell, but may also be a full-bridge cell. Also switching circuits implementing other types of voltage source converters than two-level converters are envisaged, such as three-level converters, like neutral point clamped converters. It is also possible that only one snubber component is used in a string of snubber components. It is for instance possible with only a snubber capacitor or only a snubber resistor. It shall consequently be realized that the present invention is only to be limited by the following claims.