MCQs of State Estimation (Power System Operation and Control - 2180909)

Power System Operation and Control (2180909) MCQs

MCQs of State Estimation

Showing 21 to 30 out of 44 Questions

21.

In only active and reactive power injection, 2N number of elements of measurement vector ‘z’ is used to estimate ________ number of elements of state vector ‘x’

(a)	N-1
(b)	2N-1
(c)	N
(d)	2N-2

22.

State estimation of power system by only active and reactive power injection is same as

(a)	Load flow study
(b)	Optimum power flow analysis
(c)	Economical dispatch
(d)	Load forecasting

23.

State estimation of power system by only active and reactive line flow have good redundancy if

(a)	Assume more number of imaginary buses
(b)	Increase active and reactive line flow data by assume more imaginary line in power system
(c)	Power system has enough number of transmission lines which have two meters at each end of all transmission lines
(d)	All of above

24.

According to WLSE method for state estimation on nonlinear power system equation , the estimation of ‘x’ at ‘0th’ iteration is

(a)	Is not possible to derive
(b)	$∆ X_{(0) e s t} = {({H_{0}}^{T} W H_{0})}^{- 1} [Z - h (X_{0})]$
(c)	$∆ X_{(0) e s t} = {({H_{0}}^{T} W H_{0})}^{- 1} {H_{0}}^{T} [Z - h (X_{0})]$
(d)	$∆ X_{(0) e s t} = {({H_{0}}^{T} W H_{0})}^{- 1} {H_{0}}^{T} W [Z - h (X_{0})]$

25.

The iterative process of state estimation for nonlinear measurements of power system is terminated when (

\in

is specified tolerance for estimation)

(a)	${\|X_{(p + 1) e s t} - X_{(p) e s t}\|}^{2} \leq \in$
(b)	${\|X_{(p + 1) e s t} - X_{(p) e s t}\|}^{2} = \in$
(c)	${\|X_{(p + 1) e s t} - X_{(p) e s t}\|}^{2} \geq \in$
(d)	${\|X_{(p + 1) e s t} - X_{(p) e s t}\|}^{2} \approx \in$

26.

The relation between the measurement vector ‘y’ and vector ‘x’ is as follows

y = 2 x^{2} + x + r

Estimate ‘x’ for

\in = 0.001

using WLSE method. Assume the initial estimation of x is 1 and measurement value of ‘y’ is 9.8.

(a)	1.977841
(b)	1.556678
(c)	2.000000
(d)	2.556789

27.

For state estimation for only active and reactive power injection, The active power injection measurement vector is define as

(a)	$∆ Z_{p} = H_{2} ∆ X_{δ} + r_{p}$
(b)	$∆ Z_{p} = H_{1} ∆ X_{δ} + r_{p}$
(c)	$∆ Z_{p} = H_{1} ∆ X_{v} + r_{p}$
(d)	$∆ Z_{p} = H_{1} ∆ X_{δ} + r_{q}$

28.

For state estimation for only active and reactive power injection, The reactive power injection measurement vector is define as

(a)	$∆ Z_{q} = H_{4} ∆ X_{v} + r_{q}$
(b)	$∆ Z_{q} = H_{4} ∆ X_{δ} + r_{q}$
(c)	$∆ Z_{q} = H_{3} ∆ X_{v} + r_{q}$
(d)	$∆ Z_{q} = H_{3} ∆ X_{v} + r_{p}$

29.

When WLSE method is applied for only active power injection measurement vector then the estimation of ‘x’ is

(a)	${x_{e s t (δ)}}^{P + 1} = {x_{e s t (δ)}}^{P} + {({H_{1}}^{P})}^{T} W_{P} \{Z_{P} - h_{p} ({x_{e s t}}^{P})\}$
(b)	${x_{e s t (δ)}}^{P + 1} = {x_{e s t (δ)}}^{P} + [{({H_{1}}^{P})}^{T} W_{P} {H_{1}}^{P}] {({H_{1}}^{P})}^{T} W_{P} \{Z_{P} - h_{p} ({x_{e s t}}^{P})\}$
(c)	${x_{e s t (δ)}}^{P + 1} = {x_{e s t (δ)}}^{P} + {[{({H_{2}}^{P})}^{T} W_{P} {H_{2}}^{P}]}^{- 1} {({H_{2}}^{P})}^{T} W_{P} \{Z_{P} - h_{p} ({x_{e s t}}^{P})\}$
(d)	${x_{e s t (δ)}}^{P + 1} = {x_{e s t (δ)}}^{P} + {[{({H_{1}}^{P})}^{T} W_{P} {H_{1}}^{P}]}^{- 1} {({H_{1}}^{P})}^{T} W_{P} \{Z_{P} - h_{p} ({x_{e s t}}^{P})\}$

30.

When WLSE method is applied for only reactive power injection measurement vector then the estimation of ‘x’ is

(a)	${x_{e s t (v)}}^{P + 1} = {x_{e s t (v)}}^{P} + [{({H_{4}}^{P})}^{T} W_{q} {H_{4}}^{P}] {({H_{4}}^{P})}^{T} W_{q} \{Z_{q} - h_{q} ({x_{e s t}}^{P})\}$
(b)	${x_{e s t (v)}}^{P + 1} = {x_{e s t (v)}}^{P} + [{({H_{3}}^{P})}^{T} W_{q} {H_{3}}^{P}] {({H_{3}}^{P})}^{T} W_{q} \{Z_{q} - h_{q} ({x_{e s t}}^{P})\}$
(c)	${x_{e s t (v)}}^{P + 1} = {x_{e s t (v)}}^{P} + [{({H_{4}}^{P})}^{T} W_{q} {H_{4}}^{P}] \{Z_{q} - h_{q} ({x_{e s t}}^{P})\}$
(d)	None of above

Showing 21 to 30 out of 44 Questions