Process for detecting ageing of a DC bus capacitor of a power converter
A method to estimate a remaining of useful life of a DC link capacitor of a converter through determination of a minimum value C lim of its capacitance C under which performances of the converter are considered as insufficient. The method includes implementing a real time model including a motor drive model and a capacitor model using decreasing capacitor values to calculate a forecasted minimum capacitance C lim sufficient for keeping at least one of DC voltage ripple, motor current ripple, speed ripple or torque ripple under a specified value. The method further includes calculating a time difference between a time T actual , for which the capacitor has an estimated capacitance based on an ageing curve C curve , and a time T lim for which the capacitor will have the forecasted minimum capacitance C lim , with the use of an ageing curve C curve of the capacitor and estimating the remaining useful life of the capacitor T actual −T lim .
1 . A method to estimate a remaining of useful life of a DC link capacitor of a converter through determination of a minimum value C lim of capacitance C under which performances of the converter are considered as insufficient, the method comprising:
calculating a forecasted minimum capacitance C lim sufficient for keeping at least one of DC voltage ripple, motor current ripple, speed ripple or torque ripple under a specified value, wherein calculating the forecasted minimum capacitance C lim comprises:
simulating, using a drive model, a behavior of the converter for decreasing values of the capacitance C under different system conditions to obtain a performance output of the converter; and
comparing the performance output to at least one performance criterion Pc associated with the converter; and
calculating a time difference between a time T actual , for which the capacitor has an estimated capacitance based on an ageing curve C curve , and a time T lim for which the capacitor will have the forecasted minimum capacitance C lim using said ageing curve C curve and estimating the remaining useful life of said capacitor using the time T actual and the time T lim .
2 . The method according to claim 1 , further comprising initializing said ageing curve through capacitance calculation of estimated values of said DC link capacitor during an initialization phase to provide an initial part of said ageing curve C curve and calculating a remainder of said ageing curve C curve using ageing characteristics of said capacitor.
3 . The method according to claim 2 , wherein said capacitance calculation comprises:
measuring of a voltage v src and a current i src at a voltage source upstream of the DC link capacitor;
measuring a voltage v dc downstream from said DC link capacitor and either measuring a current i dc or measuring an output power P out and calculating an input power P dc , which is equal to an output power P out plus converter losses P loss , downstream from said DC link capacitor; and
calculating an estimation of a capacitance value Ĉ of said capacitor based on said voltage v dc downstream from said DC link capacitor, current i dc or input power P dc .
4 . The method according to claim 3 , wherein P loss is identified through a known function P loss =f(P out ).
5 . The method according to claim 1 , wherein said performance criterion Pc a dc voltage oscillation amplitude or a motor control quality.
6 . The method according to claim 5 , wherein said different system conditions comprise grid impedance values R dc , L dc which are pre-defined in the drive model or predefined by user and based on application load profile and history.
7 . The method according to claim 6 , wherein said different system conditions comprise grid impedance R dc , L dc corresponding to a usual loading or grid impedance R dc , L dc of a worst-case scenario, with maximum rated grid impedance and maximum loading.
8 . The method according to claim 1 , further comprising:
calculating an equivalent system resistance ESR of said DC link capacitor based on said simulation,
implementing a modified drive model using said ESR of said DC link capacitor to calculate the minimum capacitance C lim and a minimum ESR ESR lim allowing controlled system stability,
determining an ESR curve ESR curve of said capacitor, and
calculating the time difference between an actual capacitance and the forecasted minimum capacitance C lim together with the difference between the actual ESR and the forecasted minimum ESR ESR lim , to estimate the remaining useful life of said capacitor considering a first occurrence of one of said minimum capacitance and minimum ESR.
9 . The method according to claim 1 , wherein said ageing curve C curve is based on a capacitor ageing model of a form C α (t)=e αt +β.
10 . The method according to claim 2 , further comprising tracking a capacitance value C actual through a capacitance observer activated during transient conditions of an operation of the converter.
11 . The method according to claim 10 , further comprising calculating temperature of said capacitor using a comparison of said capacitance value C actual and a capacitor C ageing resulting of the capacitor curve C curve obtained after the curve initialization.
12 . The method according to claim 1 , further comprising tracking a capacitance value C actual through a capacitance observer activated during transient conditions of an operation of the converter.
13 . A system to estimate a remaining of useful life of a DC link capacitor of a converter through determination of a minimum value C lim of capacitance C under which performances of the converter are considered as insufficient, the system comprising a control module configured to:
calculate a forecasted minimum capacitance C lim sufficient for keeping at least one of DC voltage ripple, motor current ripple, speed ripple or torque ripple under a specified value, wherein calculating the forecasted minimum capacitance C lim comprises:
simulating, using a drive model, a behavior of the converter for decreasing values of the capacitance C under different system conditions to obtain a performance output of the converter; and
comparing the performance output to at least one performance criterion Pc associated with the converter; and
calculate a time difference between a time T actual , for which the capacitor has an estimated capacitance based on an ageing curve C curve , and a time T lim for which the capacitor will have the forecasted minimum capacitance C lim using said ageing curve C curve and estimating the remaining useful life of said capacitor using the time T actual and the time T lim .
14 . The system according to claim 13 , wherein the control module is further configured to initialize said ageing curve through capacitance calculation of estimated values of said DC link capacitor during an initialization phase to provide an initial part of said ageing curve C curve and calculate a remainder of said ageing curve C curve using ageing characteristics of said capacitor.
15 . The system according to claim 14 , wherein said capacitance calculation comprises:
measuring of a voltage v src and a current i src at a voltage source upstream of the DC link capacitor;
measuring a voltage v dc downstream from said DC link capacitor and either measuring a current i dc or measuring an output power P out and calculating an input power P dc , which is equal to an output power P out plus converter losses P loss , downstream from said DC link capacitor; and
calculating an estimation of a capacitance value Ĉ of said capacitor based on said voltage v dc downstream from said DC link capacitor, current i dc or input power P dc .
16 . The system according to claim 15 , wherein P loss is identified through a known function P loss =f(P out ).
17 . The system according to claim 13 , wherein said performance criterion Pc a dc voltage oscillation amplitude or a motor control quality.
18 . The system according to claim 17 , wherein said different system conditions comprise grid impedance values R dc , L dc which are pre-defined in the drive model or predefined by user and based on application load profile and history.
19 . The system according to claim 18 , wherein said different system conditions comprise grid impedance R dc , L dc corresponding to a usual loading or grid impedance R dc , L dc of a worst-case scenario, with maximum rated grid impedance and maximum loading.
20 . The system according to claim 13 , wherein the control module is further configured to:
calculate an equivalent system resistance ESR of said DC link capacitor based on said simulation,
implement a modified drive model using said ESR of said DC link capacitor to calculate the minimum capacitance C lim and a minimum ESR ESR lim allowing controlled system stability,
determine an ESR curve ESR curve of said capacitor, and
calculate the time difference between an actual capacitance and the forecasted minimum capacitance C lim together with the difference between the actual ESR and the forecasted minimum ESR ESR lim , to estimate the remaining useful life of said capacitor considering a first occurrence of one of said minimum capacitance and minimum ESR.