Activity:Part 1:Your manager believes load power factor is poor and hence improvements are required. He has asked you to analyse the related engineering problem and produce a brief report to be presented to the colleagues with diverse backgrounds within the organization. Structure of the report is as follows: Title: Reducing the Line Currents to Improve the Electrical System and Maximum Demand Abstract : A brief of the content of the report 1 Problem Definition, Aims, and Objectives: * A brief of the current unsatisfactory situation with regard to line currents justified with calculations * Emphasize the importance of improvements with suitable circuit diagrams 2 Methodology: * Include an equivalent circuit showing the line impedance, power factor correction capacitor, and the load. * Vector diagram showing the line current before p.f. correction, Ib, line current after p.f.correction, Ia, capacitor current, Ic, and load current, IL. * Calculation of the capacitance required to be connected. * Calculation and comparison of line current before p.f. correction, Ib, and the line current after p.f. correction, Ia. * Express supply voltage in the form, v(t) = Vm sin wt Where Vm is the peak voltage. * Express the line current before and after in the forms is(t) = Ibm Sin(wt + ¢b) and ia(t) = Iam sin(wt + pa) * Express the capacitor current in the form and ic(t) = Icm Sin(wt + 4) * Analytically solve iL(t) + ic(t) using the theories of trigonometry and hence obtain the supply line current in the form, ta(t) = iL(t) + ic(t) = Iam Sin(wt + pa) * Hand-sketch i(t) and ic(t) on the same graph to a scale. Graphically sum up i(t) and ic(t) to obtain the sketch of ia(t) = in(t) + ic(t). Compare this result obtained graphically with the analytical result obtained above. 3 Results: * Plot is(t) and ia(t) on the same graph using appropriate software and discuss * Calculation of the maximum demand cost saving 4 Discussion: Provide a brief discussion about how far the aims and objectives are achieved

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