An active front-end rectifier filter delay compensation method based on model predictive control

A filter delay compensation method for an active front-end rectifier based on model predictive control, comprising the following steps:

• step 1:
• detecting a three-phase grid voltage and three-phase input current sampling values of an active front-end rectifier, and transforming both via Clarke transformation to acquire grid voltage sampling values eα and eβ, and input current sampling values ifα and ifβ under a two-phase stationary coordinate system;
• step 2:
• establishing an equivalent mathematical model of rectifier on the basis of the voltage balancing equation (1) in an actual rectifier;
• {
• e
• α
• =
• u
• α
• +
• Ri
• α
• +
• L
• 
• 
• i
• α
• 
• t
• e
• β
• =
• u
• β
• +
• Ri
• β
• +
• L
• 
• 
• i
• β
• 
• t
• (
• 1
• )
• wherein, eα and eβ are grid voltage sampling values, iα and iβ are input current values of the rectifier;
• L and R are input inductance values and equivalent series resistance value respectively;
• and uα and uβ are input voltage values of rectifier;
• establishing an equivalent filter model on the basis of the transfer function corresponding to the actual filter, wherein the ideal transfer function thereof is equation (2) of:
• F
• 
• (
• s
• )
• =
• b
• m
• 
• s
• m
• +
• b
• m
• -
• 1
• 
• s
• m
• -
• 1
• +
• …
• +
• b
• 0
• a
• n
• 
• s
• n
• +
• a
• n
• -
• 1
• 
• s
• n
• -
• 1
• +
• …
• +
• a
• 0
• (
• 2
• )
• wherein, a0, a1 . . . an are coefficient of part-denominator of transfer function to the filter;
• b0, b1 . . . bm are coefficient of part-numerator of transfer function to the filter;
• and s is the complex variable of transfer function;
• the above equivalent mathematical model of rectifier and equivalent filter model constitute a filter delay observer;
• step 3:
• taking the grid voltage sampling values eα and eβ acquired by step 1 and the rectifier input voltage values uα and uβ acquired by the last sampling period as the input value of the filter delay observer;
• and obtaining the equivalent rectifier input current values ioα and ioβ by equivalent mathematical model of rectifier;
• step 4:
• putting equivalent rectifier input current values ioα and ioβ into the equivalent filter model, and obtaining equivalent sampling current values iofα and iofβ;
• step 5:
• compensating the difference value between the input current sampling values ifα and ifβ acquired by step 1 and equivalent current sampling values iofα and iofβ acquired by step 4 into an input of the filter delay observer via a proportional controller;
• step 6:
• inputting the equivalent rectifier input current values ioα and ioβ which are regarded as the rectifier input current observed values into the model predictive control algorithm, and achieving the optimal switching state and the corresponding rectifier input voltage values uα and uβ;
• in comparison to the input current sampling values ifα and ifβ, the input current observed values ioα and ioβ of the rectifier are not impacted by the filter delay and are closer to the actual input current value of the rectifier such that the impact of the filter delay is compensated.