Velocity Detection for Motion Conductor in Magnetic Field

Abstract

Velocity detection is the crucial step for motion feedback and control. A dynamic loudspeaker can be conceptualized as a motion conductor within magnetic field. This invention calculates the velocity of a motion conductor, uses operational amplifier to emulate the calculation and realize the velocity detection.

Claims

1. A velocity detection method for motion conductor within magnetic field comprising steps of: configure a sensing structure 2 to electronically connect to a motion conductor in magnetic field 1, derive a mathematical equation 3 based on said motion conductor 1 and sensing structure 2 to calculate the velocity of said motion conductor 1, design a circuit with operational amplifier 4 to emulate said equation 3 to realize the velocity signal.

2. A velocity detection apparatus for motion conductor within magnetic field comprising: a motion conductor in magnetic field 1, a sensing structure 2, a derived mathematical equation 3, and a circuit with operational amplifier 4, said motion conductor 1 is electronically connected with said sensing structure 2 to derive said mathematical equation 3 to calculate the velocity of said motion conductor 1, said circuit 4 can emulate said equation 3 to realize the velocity signal.

Description

BRIEF DESCRIPTION OF DRAWINGS

[0007] FIG. 1 is a circuit schematic of a velocity detection embodiment.

[0008] FIG. 2 is another circuit schematic of a velocity detection embodiment.

[0009] FIG. 3 presents the test results with half sin wave.

[0010] FIG. 4 presents the test results with ramp wave.

DETAILED DESCRIPTION OF THE INVENTION

[0011] When applying voltage across a motion conductor within magnetic field, it forces the conductor to move. Velocity detection is the key for motion feedback and control. Given that a dynamic loudspeaker can be viewed as a motion conductor operating in a magnetic field, the velocity detection of the moving coil is crucial for producing high-quality sound.

[0012] When applying voltage u.sub.m across a motion conductor within magnetic field or a dynamic loudspeaker, we have the equation: u.sub.m=R*i+L*di/dt+Kv; where R is the resistance, L is the inductance, i is the current, v is the velocity, and K is a constant in linear magnetic field. In order to detect the velocity v, we need to configure a sensing structure.

[0013] A sensing structure is a specially configured component connected electronically to the motion conductor or loudspeaker to derive a mathematical equation for velocity calculation, and the equation can be emulated by an electronic circuit to realize the velocity signal.

[0014] The utilization of operational amplifiers allows for a diverse range of mathematical operations to be executed, including addition, subtraction, multiplication, division, differentiation, and integration. Upon the configuration of a sensing structure and subsequent derivation of a mathematical equation for velocity calculation, it is feasible to design an electronic circuit with operational amplifiers to effectively emulate said equation and generate the velocity signal.

[0015] FIG. 1 is a circuit schematic of a velocity detection embodiment comprising a motion conductor in magnetic field 1 connected to a sensing structure 2, a derived velocity equation 3, and a circuit with operational amplifier 4. The voltage across the motion conductor 1 can be represented as u.sub.m=R*i+L*di/dt+Kv, where R is the conductor's resistance, L is the conductor's inductance, i is the current, v is the velocity, and K is a constant in a linear system. We use a resistor Ra and inductance La to create the sensing structure 2. The voltage across the conductor 1 and sensing structure 2 can be represented as u.sub.o=(Ra+R)*i+ (La+L)*di/dt+Kv. Now that we have derived the velocity equation 3 which is Kv=u.sub.o?(Ra+R)*i?(La+L)*di/dt, we can design a circuit using operational amplifier 4 to emulate the equation 3 and realize the Kv signal. According to the equation 3, we can feed three voltage signals to the operational amplifier circuit 4: the voltage u.sub.o, the voltage across Ra which is Ra*i with gain (Ra+R)/Ra, and the voltage across La which is La*di/dt with gain (La+L)/La. The circuit 4 will have output Kv.

[0016] It is assumed in FIG. 1 that the inductance L of the motion conductor 1 remains constant; however, in practice, the inductance value of the motion conductor 1 is subject to frequency-dependent variations. Therefore, in the following discussion, we will explore an improved approach to mitigate this issue.

[0017] FIG. 2 is another circuit schematic of a velocity detection embodiment comprising a motion conductor in magnetic field 1 connected to a sensing structure 2, a derived velocity equation 3, and a circuit with operational amplifier 4. The voltage across the motion conductor 1 can be represented as u.sub.m=u1+Kv, the voltage across the sensing structure 2 can be represented as u2, the voltage across the conductor 1 and sensing structure 2 can be represented as u.sub.o=u2+u1+Kv. If let u2=u1, then we will have the equation 3 which is Kv=2u.sub.m?u.sub.o. Now that we have the equation 3 to calculate the velocity, we need to create a sensing structure 2 to meet the condition of u2=u1, also to design an operational amplifier 4 to emulate the equation 3. An easy way to make the sensing structure 2 is to use an exact same device as the motion conductor 1 but eliminate the magnetic field or velocity. The operational amplifier circuit 4 has resistors R1 and R2, the capacitor C1 is used to stabilize the circuit. To emulate the equation 3 which is Kv=2u.sub.m?u.sub.o, we can let R1=R2.

[0018] After obtaining the velocity signal for the motion conductor, it can be employed as a feedback mechanism to align the motion conductor's output with the input signal of the system. The utilization of the method depicted in FIG. 2, using a 6.5 dynamic loudspeaker, in experimentation demonstrates that in the absence of velocity feedback, the output velocity substantially deviates from the input signal. On the contrary, the integration of velocity feedback leads to a noticeable modification in the power amplifier output, resulting in accurate alignment with the detected velocity signal.

[0019] FIG. 3 presents the test results for the system input signal, which utilized a 100 Hz half sine wave. The left photo illustrates the test outcome without velocity feedback, while the right photo depicts the outcome with the incorporation of velocity feedback. In both photos, the bottom waveform denotes the power amplifier output u.sub.o, while the top waveform represents the velocity.

[0020] FIG. 4 presents the test results for the system input signal, which utilized a 100 Hz ramp wave. The left photo illustrates the test outcome without velocity feedback, while the right photo depicts the outcome with the incorporation of velocity feedback. In both photos, the bottom waveform denotes the power amplifier output u.sub.o, while the top waveform represents the velocity.

[0021] After obtaining the accurate velocity signal, the feedback mechanism significantly transforms the driving behavior, allowing for a correspondingly adjusted driving voltage to force the motion conductor's velocity to closely follow the input signal. The development of a system capable of intentionally distorting the driving voltage renders previous endeavors to produce High Fidelity amplifiers, with distortion reduced to several decimal places, seemingly obsolete.