Arrangement and method for identifying and compensating nonlinear vibration in an electro-mechanical transducer
First Claim
1. Arrangement for converting an electrical input signal v into a mechanical or an acoustical output signal p(ra) by using an electro-mechanical transducer and for reducing nonlinear total distortion pd in said output signal p(ra), whereas the nonlinear total distortion pd contains multi-modal distortions ud which are generated by nonlinear partial vibration of mechanical transducer components, the arrangement comprising:
- a sensor which is configured and arranged such to measure a mechanical or an acoustical state variable (p(rs)) of said transducer and to generate a measurement signal p that represents state variable;
a first parameter detector (D1;
D′
1) which is configured and arranged such to generate based on said measurement signal p distributed parameters Pd, whereasthe distributed parameters Pd contain modal information He,m(s) of at least one activation mode, which activates the nonlinear partial vibration of the mechanical component;
the distributed parameters Pd contain multi-modal information Hs,m,n(s), which represent the properties of the transfer modes generating the output signal p(ra);
a nonlinear wave model, which is configured and arranged such to generate based on said input signal v and said distributed parameters Pd multi-modal distortion ud, whereas the nonlinear wave model comprisesan activation filter (He,m) which is configured and arranged such to generate based on the modal information He,m(s) a modal activation signal qm, which represents the vibration state of said activation mode;
said activation filter (He,m) comprises a linear transfer behavior with a low-pass characteristic, whereas the low-pass characteristic is determined by said modal information He,m(s);
a transfer filter (Hs,m,n) which is configured and arranged such to generate based on the multi-modal information Hs,m,n(s) a multi-modal signal wm,n, which represents the nonlinear relationship between the modal activation signal qm and the multi-modal distortion ud;
the transfer filter (Hs,m,n) comprises linear transfer behavior with a high-pass characteristic, whereas the high-pass characteristic is determined by said multi-modal information Hs,m,n(s);
a nonlinear connection element which is configured and arranged such to combine the modal activation signal qm and multi-modal signal wm,n and to generate a distortion contribution um,n for said multi-modal distortion ud, anda diagnostic system generating information about the root cause of the multi-modal distortion ud based on said distributed parameters Pd;
and said nonlinear connection element comprisesa homogenous nonlinear power system, which is configured and arranged such to set said modal activation signal qm to the power with the exponent n−
1 and to generate a powered signal Bm,n=qmn-1;
a multiplicator, which is configured and arranged such to generate a nonlinear source signal zm,n based on a multiplication of the powered signal Bm,n with said multi-modal signal wm,n.
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Abstract
The invention relates to an arrangement and a method for converting an input signal v into an output signal p(ra) by using an electro-mechanical transducer and for reducing nonlinear total distortion pd in said output signal p(ra), whereas the nonlinear total distortion pd contains multi-modal distortion ud which are generated by nonlinear partial vibration of mechanical transducer components. An identification system generates distributed parameters Pd of a nonlinear wave model (Nd) and lumped parameters Pl of a network model (Nl) based on electrical, mechanical or acoustical state variables of transducer measured by a sensor. The nonlinear wave model distinguishes between activation modes and transfer modes, whereas the activation modes affect the transfer modes, which transfer the input signal u into the output signal p. A control system synthesizes based on the physical modeling and identified parameters Pd and Pl nonlinear distortion signals vd and vl which are supplied with the input signal v to the transducer and compensate for the distortion signals ul and ud generated by the transducer nonlinearities.
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Citations
15 Claims
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1. Arrangement for converting an electrical input signal v into a mechanical or an acoustical output signal p(ra) by using an electro-mechanical transducer and for reducing nonlinear total distortion pd in said output signal p(ra), whereas the nonlinear total distortion pd contains multi-modal distortions ud which are generated by nonlinear partial vibration of mechanical transducer components, the arrangement comprising:
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a sensor which is configured and arranged such to measure a mechanical or an acoustical state variable (p(rs)) of said transducer and to generate a measurement signal p that represents state variable; a first parameter detector (D1;
D′
1) which is configured and arranged such to generate based on said measurement signal p distributed parameters Pd, whereasthe distributed parameters Pd contain modal information He,m(s) of at least one activation mode, which activates the nonlinear partial vibration of the mechanical component; the distributed parameters Pd contain multi-modal information Hs,m,n(s), which represent the properties of the transfer modes generating the output signal p(ra); a nonlinear wave model, which is configured and arranged such to generate based on said input signal v and said distributed parameters Pd multi-modal distortion ud, whereas the nonlinear wave model comprises an activation filter (He,m) which is configured and arranged such to generate based on the modal information He,m(s) a modal activation signal qm, which represents the vibration state of said activation mode;
said activation filter (He,m) comprises a linear transfer behavior with a low-pass characteristic, whereas the low-pass characteristic is determined by said modal information He,m(s);a transfer filter (Hs,m,n) which is configured and arranged such to generate based on the multi-modal information Hs,m,n(s) a multi-modal signal wm,n, which represents the nonlinear relationship between the modal activation signal qm and the multi-modal distortion ud;
the transfer filter (Hs,m,n) comprises linear transfer behavior with a high-pass characteristic, whereas the high-pass characteristic is determined by said multi-modal information Hs,m,n(s);a nonlinear connection element which is configured and arranged such to combine the modal activation signal qm and multi-modal signal wm,n and to generate a distortion contribution um,n for said multi-modal distortion ud, and a diagnostic system generating information about the root cause of the multi-modal distortion ud based on said distributed parameters Pd; and said nonlinear connection element comprises a homogenous nonlinear power system, which is configured and arranged such to set said modal activation signal qm to the power with the exponent n−
1 and to generate a powered signal Bm,n=qmn-1;a multiplicator, which is configured and arranged such to generate a nonlinear source signal zm,n based on a multiplication of the powered signal Bm,n with said multi-modal signal wm,n. - View Dependent Claims (3, 4, 5, 6)
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2. Arrangement for converting an electrical input signal v into a mechanical or an acoustical output signal p(ra) by using an electro-mechanical transducer and for reducing nonlinear total distortion pd in said output signal p(ra), whereas the nonlinear total distortion pd contains multi-modal distortions ud which are generated by nonlinear partial vibration of mechanical transducer components, the arrangement comprising:
a multi-modal synthesizing element which is configured and arranged such to generate based on the input signal v a multi-modal compensation signal vd by using a nonlinear wave model (Nd) and distributed parameters Pd, whereas the multi-modal compensation signal vd represents the multi-modal distortion ud; said distributed parameters Pd comprise modal information He,m(s) of at least one activation mode, which activates the nonlinear partial vibration of the mechanical component; the distributed parameters Pd comprise multi-modal information Hs,m,n(s) which represent the properties of transfer modesgenerating the output signal p(ra); the wave model comprises at least one activation filter (He,m), which is configured and arranged such to generate based on the modal information He,m(s) a modal activation signal qm, which represents the vibration state of said activation mode;
said activation filter (He,m) comprises a linear transfer behavior with a low-pass characteristic, whereas the low-pass characteristic is determined by said modal information He,m(s);the wave model comprises at least one transfer filter (Hs,m,n), which is configured and arranged such to generate based on the multi-modal information Hs,m,n(s) a multi-modal signal wm,n, which represents the nonlinear relationship between the modal activation signal qm and the multi-modal distortion ud;
the transfer filter (Hs,m,n) comprises linear transfer behavior with a high-pass characteristic, whereas the high-pass characteristic is determined by said multi-modal information Hs,m,n(s);the wave model comprises at least one nonlinear connection element which is configured and arranged such to combine the modal activation signal qm and multi-modal signal wm,n and to generate a distortion contribution um,n for the multi-modal compensation signal vd; and a first subtraction element which is configured and arranged such to generate a control signal vc based on the difference of said input signal v and said multi-modal compensation signal vd and to supply the generated control signal vc to the transducer and said nonlinear connection element comprises a homogenous nonlinear power system, which is configured and arranged such to set said modal activation signal qm to the power with the exponent n−
1 and to generate a powered signal Bm,n=qmn-1; anda multiplicator, which is configured and arranged such to generate a nonlinear source signal zm,n based on a multiplication of the powered signal Bm,n with said multi-modal signal wm,n. - View Dependent Claims (7)
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8. Method for converting an electrical input signal v into a mechanical or an acoustical output signal p(ra) by using an electro-mechanical transducer and for reducing nonlinear total distortion pd in said output signal p(ra), whereas the nonlinear total distortion pd contains multi-modal distortion ud which are generated by nonlinear partial vibration of mechanical transducer components, the method comprising:
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generating an electrical excitation signal u based on the input signal v; exciting said transducers with said electrical excitation signal u; measuring at least one mechanical or acoustical state variable (p(rs)) of said transducer; generating a measurement signal p, which represents said measured state variable; assigning initial values to distributed parameters Pd of a nonlinear wave model (Nd) representing said transducer, whereas the distributed parameters Pd comprise modal information He,m(s), which represents at least one activation mode, whereas the activation mode activates the nonlinear partial vibration of the mechanical components; and multi-modal information Hs,m,n(s), which represents the properties of transfer modes generating the output signal p(ra); generating a modal activation signal qm by low-pass filtering of said input signal v in a linear activation filter with a transfer function provided by said modal information He,m(s), whereas the modal activation signal qm represents the vibration state of an activation mode; generating a multi-modal signal wm,n by high-pass filtering of said input signal v in a linear transfer filter with a transfer function provided by said multi-modal information Hs,m,n(s), whereas the multi-modal signal wm,n represents the nonlinear relationship between said modal activation signal qm and said multi-modal distortion ud; generating a distortion contribution um,n by multiplying said modal activation signal qm with said multi-modal signal wm,n in a nonlinear connection element, whereas said distortion contribution um,n represents components of said multi-modal distortion ud; generating updated values of said distributed parameters Pd based on said measurement signal p and distortion contribution um,n in a first parameter detector; generating diagnostic information about the root cause of the multi-modal distortion ud based on said distributed parameters Pd in a diagnostic system. - View Dependent Claims (10, 11, 12, 13, 14)
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9. Method for converting an electrical input signal v into a mechanical or an acoustical output signal p(ra) by using an electro-mechanical transducer and for reducing nonlinear total distortion pd in said output signal p(ra), whereas the nonlinear total distortion pd contains multi-modal distortion ud which are generated by nonlinear partial vibration of mechanical transducer components, the method comprising:
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generating distributed parameters Pd of a nonlinear wave model (Nd) representing said transducer, whereas said distributed parameters Pd comprise modal information He,m(s), which represents at least one activation mode, whereas the activation mode activates the nonlinear partial vibration of the mechanical components; and multi-modal information Hs,m,n(s), which represents the properties of the transfer modes generating the output signal p(ra); generating a modal activation signal qm by low-pass filtering of said input signal v in a linear activation filter with a transfer function provided by said modal information He,m(s), whereas the modal activation signal qm represents the vibration state of an activation mode; generating a multi-modal signal wm,n by high-pass filtering of said input signal v in a linear transfer filter with a transfer function provided by said multi-modal information Hs,m,n(s), whereas the multi-modal signal wm,n represents a nonlinear relationship between said modal activation signal qm and said multi-modal distortion ud; generating a powered signal Bm,n in a homogenous nonlinear power system by setting said modal activation signal qm to the power with the exponent n−
1;generating a distortion contribution um,n by multiplying said powered signal Bm with said multi-modal signal wm,n in a nonlinear connection element, whereas said distortion contribution um,n represents components of said multi-modal distortion ud; generating a multi-modal compensation signal vd based on said distortion contribution um,n; generating a control signal vc=v−
vd based on said input signal v and said multi-modal compensation signal vd in a first subtraction element;generating an excitation signal u based on said control signal vc; and supplying the excitation signal u to the electrical input of said transducers. - View Dependent Claims (15)
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Specification