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Positive-sequence components consist of three phasors _________ with magnitudes and _________ phase displacement in positive sequence; negative- sequence components consist of three phasors with ________ magnitudes and _________ phase displacement in negative sequence; and zero-sequence components consist of three phasors with __________ magnitudes and __________ phase displacement.
To fill: The appropriate words in the given blank spaces.
Answer to Problem 8.1MCQ
The appropriate words are: equal,
Explanation of Solution
The method of symmetrical components is used to solve the unbalanced system. This method is also termed as three-component method. The balanced set of components are positive sequence component, negative sequence component and zero-sequence component.
Positive Sequence components: The positive-sequence system is represented by a balanced system of phasors having the same phase sequence (and therefore positive phase rotation) as the original unbalanced system. The phasors of the positive-sequence system are equal in magnitude and displaced from each other by
Negative Sequence components: The negative-sequence system is represented by a balanced system of phasors having the opposite phase sequence (and therefore negative phase rotation) to the original system. The phasors of the negative-sequence system are also equal in magnitude and displaced from each other by
Zero Sequence components: The zero-sequence system is represented by three single phasors that are equal in magnitude and angular displacement between all the phasors is
Therefore, in positive-sequence component, there are three phasors of equal magnitude but
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Chapter 8 Solutions
Power System Analysis and Design (MindTap Course List)
- Consider the homogeneous RLC circuit (no voltage source) shown in the diagram below. Before the switch is closed, the capacitor has an initial charge go and the circuit has an initial current go. R w i(t) q(t) C н After the switches closes, current flows through the circuit and the capacitor begins to discharge. The equation that describes the total voltage in the loop comes from Kirchoff's voltage law: di(t) L + Ri(t) + (t) = 0, dt (1) where i(t) and q(t) are the current and capacitor charge as a function of time, L is the inductance, R is the resistance, and C is the capacitance. Using the fact that the current equals the rate of change of the capacitor charge, and dividing by L, we can write the following homogeneous (no input source) differential equation for the charge on the capacitor: ä(t)+2ag(t)+wg(t) = 0, (2) where R a 2L and w₁ = C LC The solution to this second order linear differential equation can be written as: where 81= q(t) = Ae³¹- Bel 82 = (3) (4) (5)arrow_forward2. 1. A. Simplify the models in the following block diagrams to open loop models (Y/R = G). U(s) o G₁ ROS G₂ 1-GG G4 X₁ Σ az 51- 515 G6 G₂ 5 G₂ M b₁ b₂ Σ o Y(s) X₁ byarrow_forwardNeed handwritten solution do not use chatgpt or AIarrow_forward
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Power System Analysis and Design (MindTap Course ...Electrical EngineeringISBN:9781305632134Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. SarmaPublisher:Cengage Learning