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ENEE 301Bachelor in Electrical Engineering · Semester 51 Paper Available

Power System Analysis II

Past examination question papers and complete curriculum syllabus for Power System Analysis II (ENEE 301), Bachelor in Electrical Engineering Semester 5 under Institute of Engineering (IOE), Tribhuvan University.

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Note: This question paper file (4th sem) was archived from an IOE exam session for the common Power System Analysis II curriculum.

4th-sem_Power System Analysis II.pdf

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Most Frequently Asked Questions

Top recurring IOE board exam questions for Power System Analysis II with verified mark schemes, formula notation, and recurrence frequency.

Showing 30 of 30 top repeated questions

Symmetrical Components and Sequence Networks

3 Questions
#1Repeated 3 Times[6 Marks]Symmetrical Components and Sequence Networks
Derive the symmetrical components transformation matrix $[A]$ and its inverse $[A]^{-1}$. Express sequence voltages ($V_{a0}, V_{a1}, V_{a2}$) in terms of phase voltages ($V_a, V_b, V_c$).
Appeared in:2083 Baishakh2081 Chaitra2078 Bhadra
#2Repeated 3 Times[8 Marks]Symmetrical Components and Sequence Networks
Draw and explain the positive, negative, and zero sequence equivalent circuits of an unloaded synchronous generator with neutral grounded through reactance $Z_n$. Write the sequence voltage equations: $\begin{bmatrix} V_{a0} \\ V_{a1} \\ V_{a2} \end{bmatrix} = \begin{bmatrix} 0 \\ E_a \\ 0 \end{bmatrix} - \begin{bmatrix} Z_0+3Z_n & 0 & 0 \\ 0 & Z_1 & 0 \\ 0 & 0 & Z_2 \end{bmatrix} \begin{bmatrix} I_{a0} \\ I_{a1} \\ I_{a2} \end{bmatrix}$.
Appeared in:2082 Chaitra2080 Chaitra2079 Chaitra
#3Repeated 3 Times[8 Marks]Symmetrical Components and Sequence Networks
Explain zero sequence networks of 3-phase transformers for connections: (a) Y-Y with both neutrals grounded, (b) Y-Delta, (c) Delta-Delta, and (d) Y-Y with isolated neutral.
Appeared in:2083 Baishakh2081 Bhadra2078 Chaitra

Unsymmetrical Fault Analysis (LG, LL, LLG)

9 Questions
#1Repeated 4 Times[8 Marks]Unsymmetrical Fault Analysis (LG, LL, LLG)
For a Single Line-to-Ground (L-G) fault on phase $a$ through fault impedance $Z_f$, derive the boundary conditions ($I_b = 0, I_c = 0, V_a = I_a Z_f$) and prove that sequence networks are connected in series ($I_{a1} = I_{a2} = I_{a0} = \frac{E_a}{Z_1 + Z_2 + Z_0 + 3Z_f}$).
Appeared in:2082 Bhadra2080 Baishakh2077 Chaitra2075 Bhadra
#2Repeated 3 Times[8 Marks]Unsymmetrical Fault Analysis (LG, LL, LLG)
Explain the transient behavior of a synchronous generator during a 3-phase symmetrical fault at its terminals. Define subtransient reactance ($X_d''$), transient reactance ($X_d'$), and synchronous reactance ($X_d$).
Appeared in:2082 Bhadra2080 Baishakh2078 Chaitra
#3Repeated 3 Times[6 Marks]Unsymmetrical Fault Analysis (LG, LL, LLG)
Explain the DC offset component of short-circuit current during a 3-phase fault. What is the doubling effect and how does doubling occur when the fault initiates at voltage zero crossing?
Appeared in:2083 Baishakh2082 Chaitra2080 Chaitra
#4Repeated 3 Times[8 Marks]Unsymmetrical Fault Analysis (LG, LL, LLG)
Explain how the bus impedance matrix ($Z_{bus}$) is utilized to calculate symmetrical 3-phase fault current at any bus $k$ ($I_f = \frac{V_k(0)}{Z_{kk} + Z_f}$) and the resulting post-fault bus voltages.
Appeared in:2081 Bhadra2079 Baishakh2077 Magh
#5Repeated 3 Times[6 Marks]Unsymmetrical Fault Analysis (LG, LL, LLG)
Define short-circuit MVA (fault level) of a bus ($SCMVA = \sqrt{3} V_{prefault} I_f$). Explain the selection and rating of circuit breakers based on symmetrical breaking capacity and asymmetrical making capacity ($2.55 \times I_{sym}$).
Appeared in:2082 Bhadra2080 Baishakh2076 Bhadra
#6Repeated 3 Times[8 Marks]Unsymmetrical Fault Analysis (LG, LL, LLG)
For a Line-to-Line (L-L) fault between phases $b$ and $c$ through fault impedance $Z_f$, derive the boundary conditions and prove that positive and negative sequence networks are connected in parallel opposition ($I_{a1} = -I_{a2}, I_{a0} = 0$).
Appeared in:2081 Chaitra2079 Chaitra2076 Chaitra
#7Repeated 3 Times[8 Marks]Unsymmetrical Fault Analysis (LG, LL, LLG)
For a Double Line-to-Ground (L-L-G) fault between phases $b$ and $c$ to ground through impedance $Z_f$, derive the boundary conditions and show that all three sequence networks are connected in parallel.
Appeared in:2083 Baishakh2082 Chaitra2080 Chaitra
#8Repeated 3 Times[8 Marks]Unsymmetrical Fault Analysis (LG, LL, LLG)
A $25\text{ MVA}, 11\text{ kV}$ generator with solidly grounded neutral has $X_1 = X_2 = 0.20\text{ pu}$ and $X_0 = 0.08\text{ pu}$. Calculate the fault current in amperes for: (a) a 3-phase symmetrical fault, (b) a single line-to-ground fault. Which fault current is higher?
Appeared in:2082 Bhadra2080 Chaitra2077 Magh
#9Repeated 3 Times[6 Marks]Unsymmetrical Fault Analysis (LG, LL, LLG)
Explain open-conductor faults in power systems (one conductor open, two conductors open). How are sequence networks interconnected to analyze series unsymmetrical faults?
Appeared in:2081 Bhadra2079 Baishakh2076 Bhadra

Power Flow Studies (Gauss-Seidel and Newton-Raphson)

9 Questions
#1Repeated 4 Times[8 Marks]Power Flow Studies (Gauss-Seidel and Newton-Raphson)
Formulate the nodal admittance matrix ($Y_{bus}$) of a power network by singular transformation $[Y_{bus}] = [A]^T [y] [A]$ and by direct inspection method. Explain the sparsity of $Y_{bus}$.
Appeared in:2083 Baishakh2081 Bhadra2079 Chaitra2076 Chaitra
#2Repeated 4 Times[8 Marks]Power Flow Studies (Gauss-Seidel and Newton-Raphson)
Explain the step-by-step $Z_{bus}$ building algorithm for adding a branch: (a) adding a branch from a new bus to reference, (b) adding a branch from a new bus to an existing bus, (c) adding a link between two existing buses.
Appeared in:2082 Bhadra2080 Chaitra2077 Magh2075 Bhadra
#3Repeated 3 Times[6 Marks]Power Flow Studies (Gauss-Seidel and Newton-Raphson)
Explain the classification of buses in load flow studies: Slack (Swing) bus, Generator ($P-V$) bus, and Load ($P-Q$) bus. State the specified and unknown variables for each bus type.
Appeared in:2082 Chaitra2080 Baishakh2078 Bhadra
#4Repeated 3 Times[6 Marks]Power Flow Studies (Gauss-Seidel and Newton-Raphson)
Derive the static load flow equations for real power ($P_i$) and reactive power ($Q_i$) at bus $i$ in terms of bus voltages, phase angles, and bus admittance parameters ($G_{ij}, B_{ij}$).
Appeared in:2083 Baishakh2081 Chaitra2079 Baishakh
#5Repeated 3 Times[8 Marks]Power Flow Studies (Gauss-Seidel and Newton-Raphson)
Explain the Gauss-Seidel load flow algorithm. Derive the iterative update formula for bus voltage $V_i^{(k+1)}$ for $P-Q$ buses and describe how $P-V$ buses with reactive power limits ($Q_{i,\min} \le Q_i \le Q_{i,\max}$) are handled.
Appeared in:2082 Bhadra2081 Baishakh2078 Chaitra
#6Repeated 3 Times[8 Marks]Power Flow Studies (Gauss-Seidel and Newton-Raphson)
Explain the Newton-Raphson (NR) load flow method in polar coordinates. Formulate the Jacobian matrix structure $\begin{bmatrix} J_{11} & J_{12} \\ J_{21} & J_{22} \end{bmatrix} = \begin{bmatrix} \frac{\partial P}{\partial \delta} & \frac{\partial P}{\partial |V|} \\ \frac{\partial Q}{\partial \delta} & \frac{\partial Q}{\partial |V|} \end{bmatrix}$.
Appeared in:2082 Chaitra2080 Chaitra2076 Chaitra
#7Repeated 3 Times[8 Marks]Power Flow Studies (Gauss-Seidel and Newton-Raphson)
Derive the Fast Decoupled Load Flow (FDLF) method from the Newton-Raphson method by applying assumptions of weak $P-V$ and $Q-\delta$ coupling, flat voltage start ($|V| \approx 1.0$), and negligible line resistance ($R \ll X$).
Appeared in:2083 Baishakh2081 Bhadra2077 Chaitra
#8Repeated 3 Times[6 Marks]Power Flow Studies (Gauss-Seidel and Newton-Raphson)
Compare Gauss-Seidel, Newton-Raphson, and Fast Decoupled Load Flow methods in terms of convergence speed, memory storage, iteration count dependency on system size, and computational time per iteration.
Appeared in:2081 Chaitra2079 Chaitra2075 Bhadra
#9Repeated 3 Times[6 Marks]Power Flow Studies (Gauss-Seidel and Newton-Raphson)
Write short notes on: (a) Contingency analysis in power systems, (b) Optimal Power Flow (OPF), (c) SCADA and Energy Management Systems (EMS) in power system operation.
Appeared in:2082 Chaitra2080 Baishakh2076 Bhadra

Power System Stability: Steady-State and Transient

9 Questions
#1Repeated 3 Times[6 Marks]Power System Stability: Steady-State and Transient
Define power system stability and classify stability into Steady-State Stability, Transient Stability, and Dynamic Stability. What is the power-angle curve ($P = P_{\max} \sin \delta$)?
Appeared in:2082 Chaitra2080 Baishakh2078 Bhadra
#2Repeated 3 Times[8 Marks]Power System Stability: Steady-State and Transient
Derive the swing equation of a synchronous machine: $M \frac{d^2 \delta}{dt^2} = \frac{H}{\pi f_0}\frac{d^2 \delta}{dt^2} = P_m - P_e$. Define inertia constant ($H$ in MJ/MVA) and angular momentum ($M$).
Appeared in:2083 Baishakh2081 Chaitra2079 Baishakh
#3Repeated 3 Times[8 Marks]Power System Stability: Steady-State and Transient
State and prove the Equal Area Criterion for transient stability of a single machine connected to an infinite bus (SMIB). Explain how it evaluates stability under a sudden increase in mechanical input power.
Appeared in:2082 Bhadra2081 Baishakh2078 Chaitra
#4Repeated 3 Times[8 Marks]Power System Stability: Steady-State and Transient
Using the Equal Area Criterion, derive the formula for Critical Clearing Angle ($\delta_{cr}$) and Critical Clearing Time ($t_{cr}$) for a 3-phase fault cleared by opening the faulted circuit: $\cos \delta_{cr} = \frac{P_m (\delta_{\max} - \delta_0) + P_{\max 3}\cos \delta_{\max} - P_{\max 2}\cos \delta_0}{P_{\max 3} - P_{\max 2}}$.
Appeared in:2082 Chaitra2080 Chaitra2076 Chaitra
#5Repeated 3 Times[8 Marks]Power System Stability: Steady-State and Transient
A $50\text{ Hz}$ generator delivers $0.8\text{ pu}$ power to an infinite bus through a double-circuit line. The maximum power transfer before fault is $2.0\text{ pu}$, during fault is $0.5\text{ pu}$, and after fault clearance is $1.5\text{ pu}$. Calculate the critical clearing angle.
Appeared in:2083 Baishakh2081 Bhadra2077 Chaitra
#6Repeated 3 Times[8 Marks]Power System Stability: Steady-State and Transient
Explain numerical methods for solving the swing equation: Point-by-Point method, Modified Euler's method, and Fourth-order Runge-Kutta (RK4) method.
Appeared in:2081 Chaitra2079 Chaitra2075 Bhadra
#7Repeated 3 Times[6 Marks]Power System Stability: Steady-State and Transient
Discuss methods for improving transient stability of power systems: high-speed circuit breakers, auto-reclosing, fast valving, dynamic braking resistors, series capacitor compensation, and excitation system stabilizers (PSS).
Appeared in:2082 Bhadra2080 Baishakh2078 Chaitra
#8Repeated 3 Times[6 Marks]Power System Stability: Steady-State and Transient
Explain voltage stability in power systems. Define $P-V$ (nose) curves and $V-Q$ curves, maximum permissible power transfer, and reactive power margin.
Appeared in:2083 Baishakh2082 Chaitra2080 Chaitra
#9Repeated 3 Times[8 Marks]Power System Stability: Steady-State and Transient
Explain Small Signal (Steady-State) Stability. Linearize the swing equation around an operating point $\delta_0$ to derive the undamped natural frequency of oscillation ($\omega_n = \sqrt{K_s/M}$) and damping ratio.
Appeared in:2081 Bhadra2079 Baishakh2077 Magh

Curriculum Syllabus & Course Topics

Sourced from TU curriculum portal
Full Syllabus (PDF)
Chapter-wise Units & Micro-Syllabus Topics (6 Units)

  1. 1. Symmetrical Components and Sequence Networks

    8

  2. 2. Unsymmetrical Fault Analysis (LG, LL, LLG)

    9

  3. 3. Power Flow Studies (Gauss-Seidel and Newton-Raphson)

    8

  4. 4. Economic Operation and Dispatch of Power Systems

    6

  5. 5. Power System Stability: Steady-State and Transient

    8

  6. 6. Voltage Control and Reactive Power Management

    6

Examination Scheme & Marks Distribution

Evaluation Structure

  • Final Board Theory Exam: 60 Marks (Pass mark: 24)
  • Internal Assessment: 40 Marks (Pass mark: 16)
  • Practical / Lab Exam: 25 or 50 Marks (Continuous lab evaluation + viva, where applicable)

* This is the general current IOE 60/40 scheme; verify course-specific details in the syllabus above.

Exam Preparation Guidelines

  • Review the available past examination paper to understand question styling, typical derivation topics, and marks allocation.
  • Cross-reference key answers with official syllabus units, standard textbooks, and lecture notes.
  • Structure answers with labeled diagrams, concise bullet points, and highlight final answers in numerical solutions.

Frequently Asked Questions (Power System Analysis II)

Q: How can I download Power System Analysis II past question papers?

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Q: What is the pass mark for Power System Analysis II?

The general current scheme is a 60-mark final theory exam and a 40-mark internal assessment, with pass marks of 24 and 16. Verify the course-specific syllabus above.

Q: Where can I find the complete syllabus for this subject?

The available chapter-wise syllabus and topic breakdown is indexed in the Syllabus section above, with links to the curriculum PDF source.

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