5. Figure Q5 shows the block diagram of a satellite attitude control system. The reference attitude is OR whilst the actual attitude is denoted by 0c. The satellite has a moment of inertia of J about its axis of rotation whilst K and K, are control system gains. The control system also acts to eliminate unwanted rotations due to a disturbance torque D. a) Derive the transfer function relating actual attitude to reference attitude, OR(S)' b) Derive the transfer function relating actual attitude to disturbance, . Oc(s) D(s)' 2 c) A reference input consisting of a step change of 5° attitude is applied at the same instant that the satellite experiences a disturbance equivalent to a step change of 50 Nm. Given the data below derive an expression for the satellite's attitude 0(t) due to these inputs. J = 25 kg m? K = 500 Nm/rad K, = 100 Nms/rad D(s) OR(s) Oc(s) K Js² K,

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A short transmission line is a transmission line that has a length less than 80 kilometers, an operating voltage level of less than 20 kV, and zero capacitance effect.

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Power flow analysis is a topic in power engineering. It is the flow of electric power in a system. The power flow analysis is preliminary used for the various components of Alternating Current (AC) power, such as the voltage, current, real power, reactive power, and voltage angles under given load conditions and is often known as a load flow study or load flow analysis.

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A power system is defined as the connection or network of the various components that convert the non-electrical energy into the electric form and supply the electric form of energy from the source to the load. The power system is an important parameter in power engineering and the electrical engineering profession. The powers in the power system are primarily categorized into two types- active power and reactive power.