Important Guideline on Analogous System of Servomotors

1. Important Guideline on Analogous System

2. Analogous System • Electrical and mechanical systems are possessing fixed analogies with similar equilibrium equations. • System help to forming a type of electrical system whose behavioral characteristics are similar to a mechanical system. • There must be a couple of physically unique systems. • There should have equal differential equation modeling of the systems.

3. Part of Analogous system Force-Voltage Analogy • It is also known as the Loop analysis. Force-Current Analogy • It is also known as Node analysis.

4. Force-Voltage Analogy In the system of mechanical, input is force and output is velocity. In the electrical network, the mass in the mechanical system corresponds to an inductor. Here, x represent the displacement and v is velocity.

5. Force-Voltage Analogy Further, B define the fictional force constant which corresponds to resistance in the electrical network. Therefore,

6. Force-Voltage Analogy Moreover, Here, k is defined the spring constant, which is replaced by a capacitor in the electrical network. So,

7. Force-Voltage Analogy • In the series of mechanical systems, the same velocity elements are presented. • In an electrical system, the elements are existing between two meshes. • In a mechanical system, the elements are existing between two masses. • The number of meshes of the electrical system is equal to the number of masses of the mechanical system.

8. Force-Current Analogy In electrical system, current is the analogous quantity to force in the mechanical system. Voltage is consider as the output for force-current analogy. In the mechanical system, masses is replaced by the capacitors in an electrical circuit. Here, x represent the displacement and v is velocity.

9. Force-Current Analogy Here v shows the voltage, Now, The frictional force B of the damper corresponds to reciprocal of resistance in the electrical network. Thus,

10. Force-Current Analogy Furthermore, Here, the spring constant k corresponds to the inductor in the electrical network. Hence,

11. Force-Current Analogy • All separate mass of the mechanical system corresponds to a separate node in the electrical network. • The parallel combination of masses has a similar force in a mechanical system. • The parallel combination of elements has the same voltage in the electrical network. • The number of components in between two separate masses of a mechanical system is connected between two separate electrical network nodes.

12. Servomotor Electrical device utilized for generating electrical signal provided as input in a accurate angular velocity. Analogous system working of servomotor dependent on: • Motor • Gear system • Position sensor • Control circuit Types of Servomotor: • AC Servomotor • DC Servomotor

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