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Direct Non-Iterative Power System State Solution and Estimation

Direct Non-Iterative Power System State Solution and Estimation. B. Fardanesh NYPA Advanced Energy Conference New York , 2013 . Basics of the Re-Linearization Method. f(x 1 ,x 2 ). X 1 2 . X 2 2 . Ys and Zs. X 1 X 2. X 1. X 2. X 1. X 2. (X 1 *, X 2 *). A Simple Example.

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Direct Non-Iterative Power System State Solution and Estimation

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  1. Direct Non-Iterative Power System State Solution and Estimation B. Fardanesh NYPA Advanced Energy Conference New York, 2013

  2. Basics of the Re-Linearization Method f(x1,x2) X12 X22 Ys and Zs X1 X2 X1 X2 X1 X2 (X1*, X2*)

  3. A Simple Example • Redundant Polynomial Equations • Dual Transformation and Direct One-Shot Solution

  4. Basics of the Re-Linearization Method If Z1 and Z2 , we will have three ts If only one Z Y1(t1,t2 ,t3)=0 t3 Y2(t) Y3(t1,t2 ,t3)=0 Y1(t) Y3(t) Y2(t1,t2 ,t3)=0 t1 t* t t2 (t1*, t2*, t3*)

  5. Basics of the Re-Linearization Method Form the hyperplanes: In term of Zsand change variables to ts:

  6. Vj2 Vj Vj Vl Vi Vj Vk Vl Vl2 Vl Vi2 Vi Vj2 Vj Vi Vk Vi Vj Vk2 Vk Vi2 Vi Vi Vk Vk2 Vk Vi2 Vi Vj Vk Vi Vj Vj2 Vj Relation to Network Topology

  7. New Paradigm • Historically we have used iterative techniques to solve the state estimation problem • A direct one-shot solution for the state of a power system is now possible • Full AC solution-No Simplifications • No more iterations • No reliance on the “goodness” of the initial guess • An envisioned faster more robust solution

  8. What is Required? • Accurate measurements from the system at the control center • Bus voltage phasor and line current phasor measurements • Locally (at the substation) validated data– “Super-calibrator “ a plus • Reliable and redundant communications network

  9. A Power System State Estimator/Solver • Power Flow equations in Rectangular from • Naturally in the desired form: • Measurement equations have similar form =ai + jbi

  10. Envisioned Benefits • Direct State Estimation • More robust– No more iterations • No reliance on the initial guess • Fast– Perhaps limited only by the communication links’ latency • A much more “dynamic” assessment of the system conditions and behavior • Potential for ultimate use in closed-loop and automatic control of power systems

  11. NYPA ECC Implementation • Snapshot from the Siemens EMS • Reduced NYS data—230kV and above • Solve for bus voltage phasors one bus away from each PMU • Purely phasor based direct SE • Output can be utilized as “anchor points: for the traditional SE • Will report on the performance soon

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