POWER SYSTEM STATE ESTIMATION - IIT Mandi

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Solution Methodologies‣Weighted Least Square (WLS)method:‣Minimizes the weighted sum of squares of the difference betweenmeasured and calculated values .‣ In weighted least square method, the objective function „f‟ to beminimized is given bym1 22 e ii 1 i‣Iteratively Reweighted Least Square (IRLS)Weighted Least AbsoluteValue (WLAV)method:‣ Minimizes the weighted sum of the absolute value of differencebetween measured and calculated values.‣The objective function to be minimized is given byim| p |i 1‣The weights get updated in every iteration.
(Cont.,)‣Least Absolute Value(LAV) method:‣ Minimizes the objective function which is the sum of absolutevalue of difference between measured and calculated values.‣The objective function „g‟ to be minimized is given by g=mWii 1| h (x)-z |i iSubject to constraint z i = h i (x) + e iWhere, σ 2 = variance of the measurementW=weight of the measurement (reciprocal of variance of themeasurement)e i = z i -h i (x), i=1, 2, 3 ….m.h(x) = Measurement function, x = state variables and Z= MeasuredValuem=number of measurements
Page 1 and 2: POWER SYSTEMSTATE ESTIMATIONPresent
Page 3 and 4: Introduction• Transmission system
Page 5 and 6: Objectives of State Estimation• O
Page 7 and 8: Power System State Estimation (Cont
Page 9 and 10: Power System State Estimation (Cont
Page 11 and 12: Consider a Simple DC Load Flow Exam
Page 13 and 14: Case with all meters have small err
Page 15: State Estimation: determining our b
Page 19 and 20: (Cont.,)•12 2PDF( ) exp( / 2 )2
Page 21 and 22: Weighted least Squares-State Estima
Page 23 and 24: (Cont.,)• The type of Newton‟s
Page 25 and 26: (Cont.,)•J( x)xT 1H R (e H x) 0T
Page 27 and 28: (Cont.,)• To derive the [H] matri
Page 29 and 30: (Cont.,)•est1est25 2.5 0- 5 0 -40
Page 31 and 32: Solution of the weighted least squa
Page 33 and 34: (Cont.,)• Critical measurement: A
Page 35 and 36: Bad Data Detection and Identificati
Page 37 and 38: Chi-square probability density func
Page 39 and 40: (Cont.,)• The degrees of freedom
Page 41 and 42: Bad Data Identification•'(zi zi)
Page 43 and 44: Bad Data Analysis-Example•
Page 45 and 46: (Cont.,)• Forming the H matrix we
Page 47 and 48: (Const.,)•z1z23.01544Azz349.00123
Page 49 and 50: (Cont.,)•4f e / 100(0.00877) 100(
Page 51 and 52: (Cont.,)•' 1 T 1Rii(I HG H R )ReN
Page 53 and 54: Conclusion• Real time monitoring

POWER SYSTEM STATE ESTIMATION - IIT Mandi

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