2. Three industrial loads are supplied by a single-phase ac power supply with the parameters V₁ = 23020° V (rms), w = 31

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2 Three Industrial Loads Are Supplied By A Single Phase Ac Power Supply With The Parameters V 23020 V Rms W 31 1 (36.63 KiB) Viewed 46 times

2. Three industrial loads are supplied by a single-phase ac power supply with the parameters V₁ = 23020° V (rms), w = 314.15 rad/s. The equivalent circuit is shown in Figure 2 and the loads' parameters are Load 1: R₁ = 100 Load 2: R₂ - JXc = (2-j6) f Load 3: jx₁ =j20 Vs Figure 2 (a) Calculate the current I,. [4 marks] (b) Calculate the active and reactive power provided by the source. [6 marks] (c) Calculate the power factor at the source. [2 marks] (d) Provide a modification of the circuit shown in Figure 2 to achieve unity power factor at the source. Justify your answer with a short explanation and calculate the value of the circuit element(s) for the modified circuit. [5 marks] (e) Repeat the calculation in Part (d), assuming that the power factor should be corrected to 0.95 (lagging). [8 marks] R₁ R₂ Xc WH