@@lab-test2601 Hi, to calculate the residual signal first you have to obtain an redundancy relation for your system dynamics. This is the fancy way of saying, you will have to find the governing equation such as Kirchhoff's law, newton's law, Bernauli's law etc. If you have a simple L, R circuit with a voltage source of V. The ARR: V - L di/dt - R i = 0 In this equation you know the parameter values such as L, R and the input source V. Then bu using one current sensor you can obtain the 'i' and plug in this equation with time to get the residual signal. Ideally it should be zero if the system is in healthy state. But even in healthy state you get little bit deviation because of the temperature, humidity etc that influence the parameter values. If in your system, the R is faulty (if it's value increases or decreases than nominal) then the right hand side of ARR won't be zero anymore, that's how you detect the fault
how to calculate residual signal
@@lab-test2601 Hi, to calculate the residual signal first you have to obtain an redundancy relation for your system dynamics.
This is the fancy way of saying, you will have to find the governing equation such as Kirchhoff's law, newton's law, Bernauli's law etc.
If you have a simple L, R circuit with a voltage source of V. The ARR: V - L di/dt - R i = 0
In this equation you know the parameter values such as L, R and the input source V. Then bu using one current sensor you can obtain the 'i' and plug in this equation with time to get the residual signal.
Ideally it should be zero if the system is in healthy state. But even in healthy state you get little bit deviation because of the temperature, humidity etc that influence the parameter values.
If in your system, the R is faulty (if it's value increases or decreases than nominal) then the right hand side of ARR won't be zero anymore, that's how you detect the fault
@@Mohankumardash Thank you! so much. di/dt is zero or ?
@@lab-test2601 welcome 😁.
No not always you have to calculate it everytime by i_(t+1) - i_(t)/ ∆t