Geometrization of the theory of electromagnetic and spinor fields on the background of the Schwarzschild spacetime

The geometrical Kosambi–Cartan–Chern approach has been applied to study the systems of differential equations which arise in quantum-mechanical problems of a particle on the background of non-Euclidean geometry. We calculate the geometrical invariants for the radial system of differential equations arising for electromagnetic and spinor fields on the background of the Schwarzschild spacetime. Because the second invariant is associated with the Jacobi field for geodesics deviation, we analyze its behavior in the vicinity of physically meaningful singular points r = M, ∞. We demonstrate that near the Schwarzschild horizon r = M the Jacobi instability exists and geodesics diverge for both considered problems.

Design, analysis and testing of a radial-axial hybrid active force compliant tool head for deburring turbine engine parts

In this thesis, a new concept and design is presented for a tool with the purpose of deburring gas turbine engine parts. This new concept utilizes both axial and radial active force compliance to accomplish the burr removal in a more robust manner. The axial and radial components are integrated in a manner that allows them to be decoupled, reducing the complexity of the system. The tool is designed around a pneumatic spindle that is affixed to pneumatic axial actuators. The axial motion system is then affixed to the radial system which makes use of a 2 axis rotary gimbal, acting as a 2-D pivot. Sensors for the axial and radial components of the tool are independent of each other. Axial sensing is accomplished using a commercial string-potentiometer and radial sensing is accomplished using magnets and magnetic field sensors. Burr formation and methods of removal are discussed. Different deburring tool designs available commercially and through literature are then explored. The design process of selecting axial and radial actuation and sensing and integrating them together while keeping the systems decoupled is outlined. Modeling of the tool is then developed and a simulation of the tool is presented to illustrate the deburring mechanics of the decoupled axial and radial components. Experimentation to determine the stiffness qualities of the tool as well as calibration of the sensors are presented and used within the simulation.

Design, analysis and testing of a radial-axial hybrid active force compliant tool head for deburring turbine engine parts

In this thesis, a new concept and design is presented for a tool with the purpose of deburring gas turbine engine parts. This new concept utilizes both axial and radial active force compliance to accomplish the burr removal in a more robust manner. The axial and radial components are integrated in a manner that allows them to be decoupled, reducing the complexity of the system. The tool is designed around a pneumatic spindle that is affixed to pneumatic axial actuators. The axial motion system is then affixed to the radial system which makes use of a 2 axis rotary gimbal, acting as a 2-D pivot. Sensors for the axial and radial components of the tool are independent of each other. Axial sensing is accomplished using a commercial string-potentiometer and radial sensing is accomplished using magnets and magnetic field sensors. Burr formation and methods of removal are discussed. Different deburring tool designs available commercially and through literature are then explored. The design process of selecting axial and radial actuation and sensing and integrating them together while keeping the systems decoupled is outlined. Modeling of the tool is then developed and a simulation of the tool is presented to illustrate the deburring mechanics of the decoupled axial and radial components. Experimentation to determine the stiffness qualities of the tool as well as calibration of the sensors are presented and used within the simulation.

Analisis penentuan LBS sebagai upaya melokalisir daerah gangguan di penyulang Pandan Landung ULP Kebonagung PT. PLN (Persero) UP3 Malang

Penyulang Pandan Landung merupakan penyulang dengan sistem radial. Dengan sistem radial ini, saat terjadi gangguan dapat diminimalisir dengan penempatan LBS, sedangkan untuk manuver dengan penyulang lain perlu diperhatikan dahulu beban yang dapat ditampung oleh penyulang lain dan jarak lokasi tersebut untuk manuver. Dengan melihat data gangguan yang ada saat ini, penelitian ini bertujuan untuk menganalisis penempatan LBS dalam hal melokalisir atau mempersempit daerah padam. Alternatif penempatan LBS baru dibutuhkan untuk mengurangi daerah padam. Penempatan LBS baru di Penyulang Pandan Landung yakni pada lokasi sebelum trafo R1116. LBS ini memanuver dari Penyulang Pandan Landung ke Penyulang Klayatan sehingga dapat meminimalisir daerah padam pada penyulang Pandan Landung Pandan Landung feeder is a feeder with a radial system. With this radial system, disruption can be minimized by placing LBS, while for maneuvering with other feeders, it is necessary to pay attention to the load that can be accommodated by other feeders and the distance of these locations for maneuvers. By looking at the current disturbance data, this study aims to analyze the placement of the LBS in terms of localizing or narrowing down the blackout areas. An alternative to placing new LBS is needed to reduce blackout areas. The placement of the new LBS at Pandan Landung Feeder is at the location before transformer R1116. This LBS maneuvers from the Pandan Landung feeder to the Klayatan feeder so as to minimize the area of outages in the Pandan Landung feeder. The energy lost before the maneuver is 26987.4 kWh, while when there is a maneuver the value becomes 12647.18, it can be seen that there is a decrease in the value of energy lost by 53.14%.

Customer Scattering Effect on Distribution System Reliability

This paper presents the customer scattering effect on distribution system reliability with Distributed Generation. In this, radial system with thirteen load points is considered and analyzed for six patterns of customer variation. The performance is observed with DG and without DG at different points along the feeder and analyzed customer scattering effect for optimum location of DG in terms of system reliability. Analysis determines the optimum DG location for improvement of system reliability varies with the customer scattering patterns.

A Multi-Objective Framework to Improve Voltage Stability in A Distribution Network

This paper investigates the performance of a radial system while installing a Distributed Generator (DG) in existing Distribution Network (DN). The investigation has been performed with various types of DG units for different topologies of the DN. The present work uses a Voltage Stability Index (VSI) for identifying the location for installing a DG in the DN. A multi-objective framework is proposed to evaluate the size of the DG to be installed by reducing power loss and deviation in bus voltage. Genetic Algorithm (GA) is used to optimize the size of DG. The proposed method has been tested with different types of DG units on standard systems (IEEE-33 bus and IEEE-69) with different radial topologies of DN.