Method and a device for controlling and regulating an alternating current rotating electrical machine, in particular a synchronous alternating current rotating electrical machine

A method of regulating a rotating electrical machine, receiving as input a discrete control voltage determined to control the electromagnetic torque delivered by said machine to a set point torque, by determining at each sampling time said discrete control voltage to be applied to said machine as a function of at least one sampled signal representing the electromagnetic torque of said machine, so that the set point torque is reached at the next sampling time, said method comprising:

• determining a discrete voltage control law of said machine in which said discrete control voltage to be applied at each sampling time is determined in the form of a first term corresponding to free evolution of the state of said machine in the absence of control, between the preceding sampling time and the current sampling time, and a second term dependent on said set point torque and a set point for the magnetic energy consumed by said machine, and
• determining, at each sampling time based on said discrete control law, the control voltage to be applied to said machine for the torque of said machine to reach said set point torque and the magnetic energy consumed by said machine to correspond to said set point magnetic energy,
• wherein said machine is a synchronous machine with smooth poles and said discrete control law is [ v d ~ v q ~ ] k - 1 = 1 a ⁢ [LeftDoubleBracketingBar] Φ -> k 0 [RightDoubleBracketingBar] ⁡ [ Δ ⁢ ⁢ W Δ ⁢ ⁢ Γ ] k
• where V{right arrow over (d)},k−1 and V{right arrow over (q)},k−1 represent the components of the control voltage vector at time k−1, expressed in a system of axes ({right arrow over (d)},{right arrow over (q)}) that is mobile in discrete time and fixed with respect to said free evolution {right arrow over (Φ)}k0 of said rotor flux in said machine at said next sampling time k, “a” is a constant, and ∥{right arrow over (Φ)}k0∥ corresponds to the modulus of said free evolution of said rotor flux at said next sampling time k, ΔΓk and ΔWk respectively representing the difference between said electromagnetic torque of said machine to be reached at said next sampling time k and said component of free evolution of said torque at said time and the difference between said magnetic energy consumed by said machine at said sampling time k and said component of free evolution of said energy at said time.

A method of regulating a rotating electrical machine, receiving as input a discrete control voltage determined to control the electromagnetic torque delivered by said machine to a set point torque, by determining at each sampling time said discrete control voltage to be applied to said machine as a function of at least one sampled signal representing the electromagnetic torque of said machine, so that the set point torque is reached at the next sampling time, said method comprising:

• determining a discrete voltage control law of said machine in which said discrete control voltage to be applied at each sampling time is determined in the form of a first term corresponding to free evolution of the state of said machine in the absence of control, between the preceding sampling time and the current sampling time, and a second term dependent on said set point torque and a set point for the magnetic energy consumed by said machine, and
• determining, at each sampling time based on said discrete control law, the control voltage to be applied to said machine for the torque of said machine to reach said set point torque and the magnetic energy consumed by said machine to correspond to said set point magnetic energy,
• wherein said machine is a synchronous machine with surface-mounted permanent magnets,
• wherein, when said machine is rotating at a speed less than a predefined threshold, said method includes implementing a low-speed strategy consisting of determining said control voltage to be applied to said machine to reach said set point torque at said next sampling time with zero magnetic energy input, and
• wherein said low-speed strategy consists of applying the following discrete control law:
• [ v d ~ v q ~ ] k - 1 = [ - I k , d ~ 0 a Δ ⁢ ⁢ Γ k a ⁢ ⁢ [LeftDoubleBracketingBar] Φ → k 0 [RightDoubleBracketingBar] ]
• where Ik,{right arrow over (d)}0 is said component of said free evolution of said stator current along the axis {right arrow over (d)} of the system of axes ({right arrow over (d)}, {right arrow over (q)}) fixed with respect to said free evolution of said rotor flux during the sampling period between said sampling times k−1 and k, “a” is a constant, ∥{right arrow over (Φ)}k0∥ corresponds to the modulus of said free evolution of said rotor flux at said next sampling time k, and ΔΓk represents the difference between said electromagnetic torque of said machine to be reached at said next sampling time k and said component of free evolution of said torque at said time.

A method of regulating a rotating electrical machine, receiving as input a discrete control voltage determined to control the electromagnetic torque delivered by said machine to a set point torque, by determining at each sampling time said discrete control voltage to be applied to said machine as a function of at least one sampled signal representing the electromagnetic torque of said machine, so that the set point torque is reached at the next sampling time, said method comprising:

• determining a discrete voltage control law of said machine in which said discrete control voltage to be applied at each sampling time is determined in the form of a first term corresponding to free evolution of the state of said machine in the absence of control, between the preceding sampling time and the current sampling time, and a second term dependent on said set point torque and a set point for the magnetic energy consumed by said machine, and
• determining, at each sampling time based on said discrete control law, the control voltage to be applied to said machine for the torque of said machine to reach said set point torque and the magnetic energy consumed by said machine to correspond to said set point magnetic energy,
• wherein said machine is a synchronous machine with wound smooth poles,
• wherein, when said machine is rotating at a speed greater than a predefined threshold, said method includes using a high-speed strategy consisting of taking account of limitations of said inverter to determine an intermediate set point torque that said machine can reach at said next sampling time with a given consumption of magnetic energy, and
• wherein said high-speed strategy includes solving the following system of equations:
• ( I k , d ~ - I k , d ~ 0 ) 2 + ( I k , q ~ - I k , q ~ 0 ) 2 = ( a ⁢ [LeftDoubleBracketingBar] V → s ⁢ ⁢ max [RightDoubleBracketingBar] ) 2 I k , d ~ 2 + I k , q ~ 2 = [LeftDoubleBracketingBar] I → s ⁢ ⁢ max [RightDoubleBracketingBar] 2
• in which Ik,{right arrow over (d)} and Ik,{right arrow over (q)} are the components of said stator current in the system of axes ({right arrow over (d)}, {right arrow over (q)}) at said time k, Ik,{right arrow over (d)}0 and Ik,{right arrow over (q)}0 are the components of said free evolution of said stator current in said system of axes at the same time, ∥{right arrow over (V)}smax∥ and ∥{right arrow over (I)}smax∥ are respectively the moduli of the maximum voltage and the maximum current in said stator, and “a” is a constant, said control voltage being obtained with the aid of the following equation [ v d ~ v q ~ ] k - 1 = [ I k , d ~ - I k , d ~ 0 a I k , q ~ - I k , q ~ 0 a ] .

A power supply circuit for a rotating machine, comprising:

• an inverter;
• and
• a regulator receiving as input a set point electromagnetic torque and at least one sampled signal representing the electromagnetic torque of said rotating electrical machine and supplying to said inverter a control signal adapted to control said electromagnetic torque of said machine to said set point torque by predicting, at each sampling time, the electromagnetic torque at the next sampling time and consecutively modifying said control voltage, said regulator comprising:
• a memory for storing a discrete control law for said machine, said control law determining said discrete control voltage to be applied to said machine at a current sampling time in the form of a first term corresponding to free evolution of the state of said machine in the absence of control between the preceding sampling time and said current sampling time and a second term dependent on said set point torque and a set point for the magnetic energy consumed by said machine, and
• means for determining, at each sampling time, based on said discrete control law, said control voltage to be applied to said machine so that said electromagnetic torque of said machine reaches said set point torque and the magnetic energy consumed by said machine corresponds to said set point energy,
• wherein said discrete control law is {right arrow over (V)}s,k−1={right arrow over (f)}(ΔΓk,ΔWk), where f is a function providing said control voltage to be applied at sampling time k−1 to reach said set point torque and energy as a function of variables ΔΓk and ΔWk respectively representing the difference between said electromagnetic torque of said machine to be reached at said next sampling time and said free evolution component of said torque at said time and the difference between the magnetic energy consumed by said machine at time k and said free evolution component of said energy at said time.

A power supply circuit for a rotating machine, comprising:

• an inverter;
• and
• a regulator receiving as input a set point electromagnetic torque and at least one sampled signal representing the electromagnetic torque of said rotating electrical machine and supplying to said inverter a control signal adapted to control said electromagnetic torque of said machine to said set point torque by predicting, at each sampling time, the electromagnetic torque at the next sampling time and consecutively modifying said control voltage, said regulator comprising:
• a memory for storing a discrete control law for said machine, said control law determining said discrete control voltage to be applied to said machine at a current sampling time in the form of a first term corresponding to free evolution of the state of said machine in the absence of control between the preceding sampling time and said current sampling time and a second term dependent on said set point torque and a set point for the magnetic energy consumed by said machine, and
• means for determining, at each sampling time, based on said discrete control law, said control voltage to be applied to said machine so that said electromagnetic torque of said machine reaches said set point torque and the magnetic energy consumed by said machine corresponds to said set point energy,
• wherein said machine is a synchronous machine with smooth poles and said discrete control law is [ v d ~ v q ~ ] k - 1 = 1 a ⁢ ⁢ [LeftDoubleBracketingBar] Φ → k 0 [RightDoubleBracketingBar] ⁡ [ Δ ⁢ ⁢ W Δ ⁢ ⁢ Γ ] k
• where V{right arrow over (d)},k−1 and V{right arrow over (q)},k−1 represent the components of the control voltage vector at time k−1, expressed in a system of axes ({right arrow over (d)}, {right arrow over (q)}) that is mobile in discrete time and fixed with respect to said free evolution {right arrow over (Φ)}k0 of said rotor flux in said machine at said next sampling time k, “a” is a constant, and ∥{right arrow over (Φ)}k0∥ corresponds to the modulus of said free evolution of said rotor flux at said next sampling time k, ΔΓk and ΔWk respectively representing the difference between said electromagnetic torque of said machine to be reached at said next sampling time k and said component of free evolution of said torque at said time and the difference between said magnetic energy consumed by said machine at said sampling time k and said component of free evolution of said energy at said time.

A power supply circuit for a rotating machine, comprising:

• an inverter;
• and
• a regulator receiving as input a set point electromagnetic torque and at least one sampled signal representing the electromagnetic torque of said rotating electrical machine and supplying to said inverter a control signal adapted to control said electromagnetic torque of said machine to said set point torque by predicting, at each sampling time, the electromagnetic torque at the next sampling time and consecutively modifying said control voltage, said regulator comprising:
• a memory for storing a discrete control law for said machine, said control law determining said discrete control voltage to be applied to said machine at a current sampling time in the form of a first term corresponding to free evolution of the state of said machine in the absence of control between the preceding sampling time and said current sampling time and a second term dependent on said set point torque and a set point for the magnetic energy consumed by said machine, and
• means for determining, at each sampling time, based on said discrete control law, said control voltage to be applied to said machine so that said electromagnetic torque of said machine reaches said set point torque and the magnetic energy consumed by said machine corresponds to said set point energy,
• wherein said machine is a synchronous machine with surface-mounted permanent magnets,
• wherein, when said machine is rotating at a speed less than a predefined threshold, said means for determining said control voltage implements a low-speed strategy consisting of determining said control voltage to be applied to said machine to reach said set point torque at said next sampling time with zero magnetic energy input, and
• wherein said low-speed strategy consists of applying the following discrete control law:
• [ v d ~ v q ~ ] k - 1 = [ - I k , d ~ 0 a Δ ⁢ ⁢ Γ k a ⁢ ⁢ [LeftDoubleBracketingBar] Φ → k 0 [RightDoubleBracketingBar] ]
• where Ik,{right arrow over (d)}0 is said component of said free evolution of said stator current along the axis {right arrow over (d)} of the system of axes ({right arrow over (d)}, {right arrow over (q)}) fixed with respect to said free evolution of said rotor flux during the sampling period between said sampling times k−1 and k, “a” is a constant, ∥{right arrow over (Φ)}k0∥ corresponds to the modulus of said free evolution of said rotor flux at said next sampling time k, and ΔΓk represents the difference between said electromagnetic torque of said machine to be reached at said next sampling time k and said component of free evolution of said torque at said time.

A power supply circuit for a rotating machine, comprising:

• an inverter;
• and
• a regulator receiving as input a set point electromagnetic torque and at least one sampled signal representing the electromagnetic torque of said rotating electrical machine and supplying to said inverter a control signal adapted to control said electromagnetic torque of said machine to said set point torque by predicting, at each sampling time, the electromagnetic torque at the next sampling time and consecutively modifying said control voltage, said regulator comprising:
• a memory for storing a discrete control law for said machine, said control law determining said discrete control voltage to be applied to said machine at a current sampling time in the form of a first term corresponding to free evolution of the state of said machine in the absence of control between the preceding sampling time and said current sampling time and a second term dependent on said set point torque and a set point for the magnetic energy consumed by said machine, and
• means for determining, at each sampling time, based on said discrete control law, said control voltage to be applied to said machine so that said electromagnetic torque of said machine reaches said set point torque and the magnetic energy consumed by said machine corresponds to said set point energy,
• wherein said machine is a synchronous machine with wound smooth poles, wherein, when said machine is rotating at a speed greater than a predefined threshold, said means for determining said control voltage implements a high-speed strategy consisting of taking account of limitations of said inverter to determine an intermediate set point torque that said machine can reach at said next sampling time with a given consumption of magnetic energy, and
• wherein said high-speed strategy includes solving the following system of equations:
• ( I k , d ~ - I k , d ~ 0 ) 2 + ( I k , q ~ - I k , q ~ 0 ) 2 = ( a ⁢ [LeftDoubleBracketingBar] V → s ⁢ ⁢ max [RightDoubleBracketingBar] ) 2 I k , d ~ 2 + I k , q ~ 2 = [LeftDoubleBracketingBar] I → s ⁢ ⁢ max [RightDoubleBracketingBar] 2
• in which Ik,{right arrow over (d)} and Ik,{right arrow over (q)} are the components of said stator current in the system of axes ({right arrow over (d)}, {right arrow over (q)}) at said time k, Ik,{right arrow over (d)}0 and Ik,{right arrow over (q)}0 are the components of said free evolution of said stator current in said system of axes at the same time, ∥{right arrow over (V)}smax∥ and ∥{right arrow over (I)}smax∥ are respectively the moduli of the maximum voltage and the maximum current in said stator, and “a” is a constant, said control voltage is determined based on the following equation [ v d ~ v q ~ ] k - 1 = [ I k , d ~ - I k , d ~ 0 a I k , q ~ - I k , q ~ 0 a ] .