1. In the circuit shown below, load A receives S, 80+ j40 VA, while load B absorbs S, =100-j200 VA. Find the complex power supplied by each source. A 100 /0° V RMS 2/0° ARMS B
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- Discuss the future trends and technologies in power systems, such as microgrids and energy storage systems.If the Reactance of the cylindrical rotor machine connected to an infinite bus bar is double that of the external reactance of 0.5.p.u. If the power angle is 35°, real power output is 0.8, compute the excitation voltage, and for the same power output, if the load angle is reduced by 10 degrees, find the external reactance to achieve this.Write the differential equation for t > 0 for iC in the given figure. Assume VS = 9 V, RS = 4 kohm, R1 = 11 kohm, and R2 = R3 = 20 kohm.
- A transmission line has a reactance of 1 Pu is operating at Vs = Vr = 1 Pu. The generator is connected at source end which is delivering 0.5 Pu of active power and the transmission line is compensated with a series capacitance of 0.5 Pu. Find the load angle with series capacitance compensation ?Consider a PV module with the following external parameters at STC: Pmax = 320 W, VOC = 45 V, ISC = 8 A, NOCT =40 °C and the temperature coefficient of power is −1 W/°C. a) If the ambient temperature rises to 35 °C while the irradiance is 1,000 W/m2, what is the cell leveltemperature, calculated with the NOCT model?b) What is the new power output of the PV module under the new ambient temperature of 35 °C and 1,000W/m2irradiance?For the configuration shown in the figure below, determine Zi if Vs = 40 mV, Sense = 0.5 kΩ, and Ii = 20 µA
- How do distributed energy resources (DERs) such as solar panels and wind turbines impact the operation and planning of power systems? Analyze their integration challenges.In a certain circuit supplied from 50 Hz mains, the potential difference has amaximum value of 500V and the current has a maximum value of 10A. At the instantt=0, the instantaneous values of the p.d. and the current are 400V and 4Arespectively, both increasing positively. Assuming sinusoidal variation, statetrigonometrical expressions for the instantaneous values of p.d. and the current attime t. Calculate the instantaneous values at the instant t=0.015s and find the angle ofphase difference between the p.d. and the current. Sketch the phasor diagram (neednot be to scale).For the frequency-domain circuit , calculate: 1. a) the rms magnitude of Vo;2. b) the average power dissipated in the 9 Ω resistor;3. c) the percentage of the average power generated by the idealvoltage source that is delivered to the 9 Ω load resistor.
- S.2) The serial impedance of the 300 km power transmission line is 23 + j75 ohm / phase and the shunt acceptance is j500 microS / phase. A power of 50 MW with a power factor of 0.88 under 220 kV interphase voltage from the end of the power transmission line being shot. Using these data of the energy transmission line, a) Characteristic impedance of the energy transmission line, b) Natural apparent power of the energy transmission line according to the 220 kV interphase operating voltage, c) The values of the line parameters A, B, C and D of the transmission line using hyperbolic functions, d) Calculate the maximum power that the power transmission line can transmit.a) You have been employed as an electrical engineer by a power transmission company to design a short transmission line to supply power to a light-industrial load consumer with power system specification as follows, a 3-ph, 60Hz overhead short transmission line with a line-to-line voltage of 23KV at the load end, line impedance of 2.48 ±j6.57Ω/phase, the industry has a cumulative consumption of 9MW with a power factor of 0.85 of lagging as a result of several induction motor on its production lines.As part of the regulations for connections to the grid, you are to provide justifications and values to the Energy Commission of Ghana.(i) What would be value of the voltage between the live conductor and the neutral, between live and live voltages at the industrial premises of the factory?(ii) What load angle would expect the factory to be operating at?Determine the amount of distributed generation active power that can besafely fed to a 400V line with Z= 0.3 + j0.9 Ω, if the maximum allowablevoltage rise is 4V and reactive power is negligible.