The Lagrangian and Hamiltonian for RLC Circuit: Simple Case

The Lagrangian and Hamiltonian for series RLC circuit has been formulated. We use the analogical concept of classical mechanics with electrical quantity. The analogy is as follow mass, position, spring constant, velocity, and damping constant corresponding with inductance, charge, the reciprocal of capacitance, electric current, and resistance respectively. We find the Lagrangian for the LC, RL, RC, and RLC circuit by using the analogy and find the kinetic and potential energy. First, we formulate the Lagrangian of the system. Second, we construct the Hamiltonian of the system by using the Legendre transformation of the Lagrangian. The results indicate that the Hamiltonian is the total energy of the system which means the equation of constraints is time independent. In addition, the Hamiltonian of overdamping and critical damping oscillation is distinguished by a certain factor.

Dinamometer Untuk Alat Uji penarikan Kawat (Perancangan, Pembuatan dan Pengujian)

The basic principle of metal formation is to change shape by giving an external force so that plastic deformation occurs. One example of this formation is wire drawing. The important parameter in wire drawing is the drawing force, which is the force needed to deform the wire to produce the desired reduction. The measurement of withdrawal force is carried out through a wire drawing test equipped with a dynamometer, which consists of load cell and strain gauge. From this test, the withdrawal force can be measured as an electrical quantity that can be read using a multitester or computer. For wire drawing testing dynamometers are designed and made as measuring sensors for withdrawal forces on a laboratory scale. From the results of testing with a dynamometer the average wire drawing force for copper reduction I was 72.88 kgf, copper reduction II was 95.88 kgf and brass was 126.50 kgf. The price of this test is greater than the theoretical price

Association Analysis of System Failure in Wide Area Backup Protection System

Wide area backup protection algorithm based on fault component identification is the heart of the whole wide area backup protection system, its validity and reliability is a problem which needs to be first considered in the engineering practice applications of wide area backup protection system. Wide are backup protection algorithm mainly use two kinds of wide area information to realize protection criterion, one is electrical quantity information, such as voltage, current, etc. Another one is protection action and circuit breaker information. The wide area backup protection algorithm based on electrical quantity information is mainly utilizing the significant change of electrical quantity to search fault component, and the primary means include current differential method of wide area multi-measuring points, the comparison method of calculation and measurement, the multiple statistics method. In this paper, a novel and effective association analysis of system failure in wide area backup protection system will be discussed carefully, and the analytical results are successful and reliable.

Dynamic Studies on the Recurve Bow

By utilizing the acceleration sensor and the strain gauge, the non electrical quantity measurement technology, we collected the data of the dynamic strain process in the actual shooting circumstances of athletes and get the data through the computer; exploratory proposed the dynamic characteristics of the bow.

Study of Fault Location Algorithm Based on Fault Analysis Method

Analyze and derive the relationship of each electrical quantity of the single-end fault location algorithm and present a fault location formula of two-end fault location algorithm. Through the simulation research of MATLAB/Simulink, when the fault occurs near in either end of the line, the ranging device near the fault point is adopted, fault distance can be measured with single-ended electrical quantities algorithm, when the fault occurred in near the midpoint of the line, two-end fault location algorithm is chosen to ensure the results’ accuracy higher.