please show steps i want to study them. The cost of two generators (in $) as a function of power (in MW) is given:C₁ = 0.1P+35P₁ + 3200150 Pi≤300C₂ = 0.225P+20P2 + 200050 P2 <200C3 = 0.15P3 + 32P3 + 160025 ≤ P3 ≤100If the demand is 600 MW and the total losses in the system are 90 MW, find the optimal dispatch of the three generatorsthat will minimize the generation cost while meeting the demand requirement.

Step 1: Define the Cost Functions and ConstraintsGiven:Generator 1: 𝐶1=0.1𝑃12+35𝑃1+3200Power…

Answered: The cost of two generators (in $) as a…

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter23: Resistive-inductive-capacitive Series Circuits

Section: Chapter Questions

Problem 7PP: Is the power factor in Question 6 a leading or lagging power factor? Explain your answer.

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The rms value of v(t)=Vmaxcos(t+) is given by a. Vmax b. Vmax/2 c. 2Vmax d. 2Vmax
Given the complex numbers A1=630 and A2=4+j5, (a) convert A1 to rectangular form: (b) convert A2 to polar and exponential form: (c) calculate A3=(A1+A2), giving your answer in polar form: (d) calculate A4=A1A2, giving your answer in rectangular form: (e) calculate A5=A1/(A2*) giving your answer in exponential form.
A 500 MVA synchronous machine has H, = 5.6 MJ/MVA and a 1200 MVA machine has H₂ = 2.0 MJ/MVA. The two machines operate in parallel in a power station. What is the equivalent. H constant for the two, relative to a 100 MVA base?
4. With respect to the following figure, explain why v。 does not follow v₁ until Và – Vỵ and follows only when v₁ ≥ VB - Vy in the positive half cycle? What happens in the negative half-cycle? Explain. Assume a sinusoidal current of losin(ot) from v₁, what is the voltage drop across R when vo follows vi and Vo does not follow v₁. www + R D VI vo VB-Vy VI Vo
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Question 17) Read the question carefully and make your solutions. According to the figure given below, Find the steady-state expressions for the currents and in the circuit in figure when Vg=200cos(800t). 8002 240 mH 400 mH 400 mH M 100 Q
Consider a factory that operates with a poor (low) power factor. The operator can install a capacitor connected in parallel with the load to improve the power factor and reduce the power cost. Question: what is the value of the capacitor in parallel? Icap The factory load is: te Pload = 150 kW Isup Iload Load Pfload The desired power factor is: Sload P₁ Pload 0.65 inductive pfsup = 0.9 (lagging). Qload Vload := 7.2 kV
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Problem #7) Specify whether each of the statements are TRUE or FALSE. D Reactive Power is a measure of the average power consumed by reactive (capacitive and inductive) loads. When connected to an AC voltage source, the instantaneous power (rate of energy transfer) supplied to a resistor varies at a frequency that is 2x the frequency of the applied source voltage. The magnitude of the impedance of a capacitor supplied by an AC source will increase as the source frequency increases. An AC source that has an RMS magnitude of 100V will supply the same average power to a resistor compared to a 100V DC source. The voltage across a capacitor is proportional to the rate of change of the current flowing through the capacitor. The magnitude of the impedance of a resistor supplied by an AC source does not vary as the source frequency increases. A complex impedance Z=R+jX, that has non-zero resistive and reactive components, will consume both real and reactive power when supplied by an AC source.…

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