4) A schematic for the Gravity Probe-B Satellite and probe experiment is shown below. Assume the mass, m1, of the spacecraft plus helium tank is 2000 kg and the mass, m2, of the probe is 1000 kg. A rotor will float inside the probe and will be forced to follow the probe with a capacitive forcing mechanism; however this will have no effect on m2. The spring constant of coupling, k, is 3.2 x 106. The viscous damping, b, is 4.6 x 103. a) Write the equations of motion for the system consisting of masses m1 and m2 using the inertial position variable yı and y2. b) The actual disturbance u is very small resulting in very small motion. Rewrite the equations using scaled variable z1 = 106y1, Z2 = 106 y2 and v = 1000u. %3D
Load flow analysis
Load flow analysis is a study or numerical calculation of the power flow of power in steady-state conditions in any electrical system. It is used to determine the flow of power (real and reactive), voltage, or current in a system under any load conditions.
Nodal Matrix
The nodal matrix or simply known as admittance matrix, generally in engineering term it is called Y Matrix or Y bus, since it involve matrices so it is also referred as a n into n order matrix that represents a power system with n number of buses. It shows the buses' nodal admittance in a power system. The Y matrix is rather sparse in actual systems with thousands of buses. In the power system the transmission cables connect each bus to only a few other buses. Also the important data that one needs for have a power flow study is the Y Matrix.
Types of Buses
A bus is a type of system of communication that transfers data between the components inside a computer or between two or more computers. With multiple hardware connections, the earlier buses were parallel electrical wires but the term "bus" is now used for any type of physical arrangement which provides the same type of logical functions similar to the parallel electrical bus. Both parallel and bit connections are used by modern buses. They can be wired either electrical parallel or daisy chain topology or are connected by hubs which are switched same as in the case of Universal Serial Bus or USB.
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