Network Analysis Research Paper Example | Topics and Well Written Essays - 1750 words

Network Analysis - Research Paper Example A machine consumes a power of 10 kW and a reactive power of 4 kvar at a current of (6 + j4)A. Determine the applied voltage, expressing your answer in complex form. Solution: Here as given, Average Power, P = 10 kW, Reactive Power, Q = 4 kvar, Current I = (6+j4) A Let S be the Apparent Power then we know that, Apparent Power S = Re{VI*} - Im{VI*} S = P - jQ, substituting the values of P & Q S = 10 10 ³ - j4 10 ³ S = (10 –j4) 10 ³ †¦. Eq. Since S = VI*... Eq. 2(2) Where V is the applied voltage and I* is the conjugate of I. As we know that if z = a + jb is a complex number then z* = a – jb Therefore, I* = 6 - j4 Now equating Eq. 1(2) & 2(2) and substituting the value of I* we have, V (6 - j4) = (10 – j4) 10 ³ V = (10 – j4) 10 ³/ (6 - j4) After rationalizing, V = (6 + j4)(10 – j4) 10 ³/ (6 ² + 4 ²) V = (76 + j16) 10 ³/ 52 V = (1.46 + j0.30) 10 ³ Network 5 Hence, V = 1.46 10 + j300 †¦. Eq. 3(2)Which is the applied voltage expressed in complex form. Solution: 3(a) Let is the applied voltage & be the resulting current through the given circuit then for complex impedance circuit is given as, = Expj †¦. Eq. 1(a3) Where . Let be the phase difference between voltage and current than current = Expj( + †¦. Eq. 2(a3) Since impedance in time domain is defined as, = †¦. Eq. 3(a3) From equations 1(a) & 2(a) we have, = as R=1 (given) = Or in polar form, †¦. Eq. 4(a3) Multiplying by 1 /to yield effective value we have, Z= or Z= 0.707†¦. Eq. 5(a3) Equation 5(a). is the required impedance in polar form. admittance is the reciprocal of impedance so, if Y is admittance then Y = 1/Z†¦. Eq.1(b3)... admittance Y=1/Z, or, Yeq=1/Zeq 1/Zeq=Yeq From Eq. 1(b1) Hence, Yeq=1/R+j(C -1/L) . Eq. 2(b1) Equation 2(b) gives the expression of admittance for RLC parallel circuit impedance. Network 4 2. A machine consumes a power of 10 kW and a reactive power of 4 kvar at a current of (6 + j4)A. Determine the applied voltage, expressing your answer in complex form. Solution: Here as given, Average Power, P = 10 kW, Reactive Power, Q = 4 kvar, Current I = (6+j4) A Let S be the Apparent Power then we know that, Apparent Power S = Re{VI*} - Im{VI*} S = P - jQ, substituting the values of P & Q S = 1010 - j410 S = (10 -j4) 10 . Eq. 1(2) Since S = VI* . Eq. 2(2) Where V is the applied voltage and I* is the conjugate of I. As we know that if z = a + jb is a complex number then z* = a - jb Therefore, I* = 6 - j4 Now equating Eq. 1(2) & 2(2) and substituting the value of I* we have, V (6 - j4) = (10 - j4) 10 V = (10 - j4) 10/ (6 - j4) After rationalizing, V = (6 + j4)(10 - j4) 10/ (6 + 4) V = (76 + j16) 10/ 52 V = (1.46 + j0.30) 10 Network 5 Hence, V = 1.4610 + j300 . Eq. 3(2) Which is the applied voltage expressed in complex form. Solution: 3(a) Let is the applied voltage & be the resulting current through the given circuit then for complex impedance circuit is given as, = Expj . Eq. 1(a3) Where. Let be the phase difference between voltage and current then

Case Sharp Printing, AG Assignment Example | Topics and Well Written Essays - 250 words

Case Sharp Printing, AG - Assignment Example In addition, I would prolong the project in order to give room for all people involved in the project implementation to make rational decisions regarding the cost of the project and how long it should take. More so, there is the need to plan and prepare for trade-offs concerning the laid down priorities of developing a laser-printing machine at a low price. As a project manager, I would present additional or extra revenues to be expected from implementing the project on projected time. The macro estimates may be off because the project is done when cost and time estimates are an issue. Everybody is not agreeing with the cost and time estimate provided by the project manager. The micro estimate can be trusted if the goal is to make the top management to focus away cost overrun to the predicted profits and the benefits of the product. Further, the micro estimates in such a project enhances cost and time estimate accurately than the macro estimates that has proven to be tough and inconsistent when making time and cost