The GATE Grind

GATE Power Systems: Per-unit quantities, Bus admittance matrix, Gauss-Seidel and Newton-Raphson load flow methods – Previous Year Questions

16 GATE previous year questions on Per-unit quantities, Bus admittance matrix, Gauss-Seidel and Newton-Raphson load flow methods (Power Systems, Electrical Engineering) with answers and explanations, from every paper.

  1. GATE 2017 EE Q20 (1 mark, Multiple choice) – A 3-bus power system is shown in the figure below, where the diagonal elements of Y-bus matrix are: Y 11 = -j12 pu, Y 22 = -j15 pu and Y 33 = -j7 pu.…
  2. GATE 2017 EE Q31 (1 mark, Numerical answer) – A 10-bus power system consists of four generator buses indexed as G1, G2, G3, G4 and six load buses indexed as L1, L2, L3, L4, L5, L6. The…
  3. GATE 2017 EE Q50 (2 marks, Multiple choice) – The bus admittance matrix for a power system network is bmatrix -j39.9 & j20 & j20 \\ j20 & -j39.9 & j20 \\ j20 & j20 & -j39.9 bmatrix pu. There is a…
  4. GATE 2015 EE Q52 (2 marks, Multiple choice) – Determine the correctness or otherwise of the following Assertion [a] and the Reason [r]. Assertion: Fast decoupled load flow method gives approximate…
  5. GATE 2016 EE Q29 (1 mark, Multiple choice) – In a 100 bus power system, there are 10 generators. In a particular iteration of Newton Raphson load flow technique (in polar coordinates), two of the…
  6. GATE 2018 EE Q32 (1 mark, Numerical answer) – A 10001000 bus admittance matrix for an electric power system has 8000 non-zero elements. The minimum number of branches (transmission lines and…
  7. GATE 2018 EE Q39 (2 marks, Multiple choice) – Consider the two bus power system network with given loads as shown in the figure. All the values shown in the figure are in per unit. The reactive…
  8. GATE 2019 EE Q31 (1 mark, Numerical answer) – The Y bus matrix of a two-bus power system having two identical parallel lines connected between them in pu is given as Y…
  9. GATE 2020 EE Q19 (1 mark, Multiple choice) – Out of the following options, the most relevant information needed to specify the real power (P) at the PV buses in a load flow analysis is
  10. GATE 2020 EE Q39 (2 marks, Multiple choice) – Two buses, i and j, are connected with a transmission line of admittance Y, at the two ends of which there are ideal transformers with turns ratios as…
  11. GATE 2021 EE Q19 (1 mark, Multiple choice) – Consider a power system consisting of N number of buses. Buses in this power system are categorized into slack bus, PV buses and PQ buses for load…
  12. GATE 2021 EE Q45 (2 marks, Multiple choice) – A 3-Bus network is shown. Consider generators as ideal voltage sources. If rows 1, 2 and 3 of the Y Bus matrix correspond to Bus 1, 2 and 3,…
  13. GATE 2023 EE Q28 (1 mark, Multiple choice) – The bus admittance (Y bus) matrix of a 3-bus power system is given below. Y bus=bmatrix-j15&j10&j5\10&-j13.5&j4\5&j4&-j8bmatrix Considering that there…
  14. GATE 2023 EE Q41 (2 marks, Multiple choice) – The three-bus power system shown in the figure has one alternator connected to bus 2 which supplies 200 MW and 40 MVAr power. Bus 3 is infinite bus…
  15. GATE 2026 EE Q18 (1 mark, Multiple choice) – Consider a power system with N buses, of which P are generator buses and the remaining Q are load buses (where there is no generation). Assume that…
  16. GATE 2026 EE Q41 (2 marks, Multiple choice) – A three-phase two-winding transformer has a voltage transformation ratio V PV S=0.866+j0.5, where V P is the primary side voltage in p.u., and V S is…