Power Quality in Power Systems and Electrical Machines 2nd. Edition by Ewald F. Fuchs, Mohammad A. S. Masoum | 9780128007822 | 0128007826 | Holooly

Electrical Machines

Power Quality in Power Systems and Electrical Machines

123 SOLVED PROBLEMS

Question: 7.AE.18

Using the results of Application Examples 7.15 to 7.17, evaluate the correction bus vector ΔU¯^0 for the system of Fig. E7.14.1. Update the mismatch vector and comment on the convergence of the harmonic load flow. ...

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Step #5 of Harmonic Load Flow. Evaluate

\De...

Question: 11.AE.11

Figure E11.11.1 illustrates the sharing (increase) of the additional load among a shortterm storage plant (e.g., R2=0.01 pu), a long-term-storage plant (e.g., R3=10 pu), and a PV plant (e.g., R1=10 pu) causing a frequency decrease. One obtains a stable frequency control when the short-term storage ...

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a) Differential and algebraic equations System # 1...

Question: 3.AE.14

Current ripples due to PWM current-source inverters cause voltage stress in windings of machines and transformers. The configuration of Fig. E3.14.1 represents a simple winding with two turns. Each winding can be represented by four segments having an inductance Li , a resistance Ri , a capacitance ...

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To demonstrate the sensitivity of the induced volt...

Question: 4.AE.4

For the analysis of subtransient phenomena, a simulation of the damper-winding system of alternators is of utmost importance. Concordia [7] expanded the usual d- and q-axes decomposition by introducing more than two (e.g., d and q) damper winding systems. In this application example the amortisseur ...

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Following the notation of [7] one obtains the volt...

Question: 7.AE.17

Using the results of Application Examples 7.15 and 7.16, evaluate the Jacobian matrix for the system of Fig. E7.14.1. ...

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Step #4 of Harmonic Load Flow. The matrix equation...

Question: 7.AE.14

The harmonic power flow algorithm will be applied to the nonlinear power system as shown in Fig. E7.14.1 where all impedances are given in pu at 60 Hz and the base is Sbase=1 kVA. In order to simplify the problem, the harmonic (v–i) characteristic of the nonlinear load at bus 4 (referred to the ...

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The fundamental bus admittance matrix

\left...

Question: 11.AE.10

Data for generation set (steam turbine and generator) #1: Angular frequency change (Δω1) per change in generator output power (ΔP1), that is R1 = Δω1/ΔP1 pu = 0.01 pu (e.g., coal-fired plant), the frequency-dependent load change (ΔPL1|frequ) per angular frequency change (Δω1), that is ...

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Differential and algebraic equations System # 1 [l...

Question: 3.AE.13

Voltage ripples due to PWM voltage-source inverters cause voltage stress in windings of machines and transformers. The configuration of Fig. E3.13.1 represents a simple winding with two turns consisting of eight segments. Each segment can be represented by an inductance Li , a resistance Ri , and ...

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Solution #1 (Based on Mathematica) a) Program list...

Question: 7.AE.16

Using the results of Application Example 7.15, evaluate the mismatch vector for the system of Fig. E7.14.1. ...

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Step #3 of Harmonic Load Flow. Evaluation of the m...

Question: 7.AE.13

For the system of Fig. E7.8.1, compute the correction voltage vectorΔx^-0, updating the mismatch power vector, and check the convergence of the load flow algorithm (using a convergence tolerance of 0.0001). ...

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Based on the results of Application Examples 7.9 t...

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