Use of PDTF’s and ODTF’s Powerworld PDTF and ODTF Sensitivity Functions Example – Path Utilization Tool (PUF Diagram) Powerworld June 30, 2015 Users Group Meeting 1 Topic of Discussion PDTF’s – What are they? Demonstration of how they can be used to develop a useful tool. Development of Power Transfer Diagram (Excel Spreadsheet/Diagram) ODTF’s – What are they? How are they different from PDTF’s? Powerworld June 30, 2015 Users Group Meeting 2 PDTF’s Power Transfer Distribution Factors (PTDF) PDTF is defined as the incremental impact on the transmission system of a transfer of power between two points in the power system PTDFs demonstrate a linear impact (i.e. is a linear sensitivity function) They provide what percent of the transfer appears on each transmission line in the power system Powerworld June 30, 2015 Users Group Meeting 3 PTDF Calculation PTDFs are calculated using the factored power flow Jacobian (Jacobian is a linearized matrix of partial derivatives of P and Q with respect to angle and voltage magnitude) ∆|V| = [J(V*)]-1 ∆P ∆P - Change in power injections associated with a power transfer ∆|V| - Change in system voltages, therefore flows on each transmission branch can be calculated Powerworld June 30, 2015 Users Group Meeting 4 Specifying Transfer for PDF Calculation Must specify a seller (source) and buyer (sink) for a power transfer Options for Seller and Buyer: Area, Zone, or Super Area - Generators in region participate according to participation factors Slack – Slack generator provides Injection Group – Loads/Generators participate based on each element of the group Bus – Power comes from/to this bus Powerworld June 30, 2015 Users Group Meeting 5 Calculation Method for PTDF Specify a Calculation Method Linearized AC (includes losses) Lossless DC – DC power flow (no losses) Lossless DC with Phase Shifters – Modification of lossless DC that forces phase shifters to hold flow across them Powerworld June 30, 2015 Users Group Meeting 6 PTDF Display Powerworld June 30, 2015 Users Group Meeting 7 Example: Power Transfer Path Utilization Diagram (PUF Diagram) Develop an Excel Spreadsheet Diagram that provides a visual effect of power transfers across transfer paths in the NW from one area to another. Powerworld June 30, 2015 Users Group Meeting 8 Powerworld Files Used Installed Interface Groups to model transfer paths of interest Used the PTDF to do a linearized AC power transfer from bus (center of area of seller) to bus (center of area of buyer – common point) Used the superposition principle to allow determine from any one bus to another Powerworld June 30, 2015 Users Group Meeting 9 Excel Spreadsheet (Data)– PODFs for Interfaces Used AC Linearized Method for Determination of Factors POR ‐ Area/Bus (Transfer FROM Bus) Sea N ‐ Monroe 500 Sea S ‐ Maple Valley 500 Paul ‐ Paul 500 Allston ‐ Allston 500 Allston ‐ Trojan 230 PDX/Salem ‐ Troutdale 230 PDX/Salem ‐ Keeler 230 PDX/Salem ‐ Pearl 230 Eugene ‐ Alvey 230 S Oregon ‐ Meridian 230 Malin ‐ Malin 500 Cent OR ‐ Redmond 230 Big Eddy ‐ Big Eddy 230 John Day ‐ John Day 500 Bonneville ‐ Bonneville 230 Idaho ‐ Boise Bench 230 Mid C ‐ Midway 230 Mid C ‐ Hanford 500 Coulee ‐ Coulee 500 Slatt ‐ Slatt 500 McNary ‐ McNary 500 Walla Walla ‐ Walla Walla 230 NE Wash ‐ Bell 500 Montana ‐ Broadview 500 Wyoming ‐ Dave Johnston 230 Utah/Colorado ‐ Bonanza 345 Ariz/N Mex ‐ Palo Verde 500 Nevada ‐ Harry Allen 500 California ‐ Telsa 500 Canada ‐ Nicola 500 System Specific Values (POR‐POD) POR (From Bus) POD (To Bus) Existing System (Big Eddy‐Knight) ‐ Case 1 POD ‐ Boise Bench 230 (Transfer TO Bus) Path Transfer (% Change) West of West of North of Nelway‐ North of West of West of West of Monroe‐ Raver‐ Paul‐ S of S of S of Cascades BC‐NW Cascades John Boundary Hanford McNary Slatt John Day Echo Lake Paul Allston Allston Salem Eugene South North Day Matl MT‐NW ID‐NW Hmwy‐ Sum Lk COI PDCI Alturas‐ Reno S Ore Import W of Col River Tot‐2 52.1 ‐11.1 ‐4.0 ‐3.1 ‐2.7 ‐1.6 ‐1.9 ‐1.7 ‐1.2 ‐1.0 ‐0.8 ‐0.9 ‐1.1 ‐1.0 ‐1.6 0.0 0.2 ‐0.7 2.8 ‐0.8 ‐0.6 0.2 4.1 3.9 1.1 0.2 ‐0.4 ‐0.4 ‐0.8 36.4 13.4 14.9 ‐38.3 ‐27.6 ‐22.2 ‐9.3 ‐13.4 ‐10.9 ‐5.3 ‐3.7 ‐2.2 ‐2.3 ‐2.7 ‐1.4 ‐10.1 0.0 5.5 4.6 9.3 ‐0.5 0.2 2.4 7.2 5.3 1.0 ‐0.2 ‐1.5 ‐1.5 ‐2.2 10.6 16.3 17.9 48.0 ‐34.7 ‐24.7 ‐11.0 ‐16.0 ‐13.2 ‐6.5 ‐4.6 ‐2.7 ‐2.9 ‐3.3 ‐1.8 ‐11.7 0.0 6.9 5.5 11.4 ‐0.7 0.3 3.0 9.0 6.6 1.2 ‐0.3 ‐1.8 ‐1.9 ‐2.7 13.0 19.6 21.6 49.0 61.7 66.6 ‐13.5 ‐19.5 ‐15.8 ‐7.7 ‐5.5 ‐3.2 ‐3.4 ‐3.9 ‐2.1 ‐14.7 0.0 8.2 6.5 13.6 ‐0.8 0.3 3.5 10.8 7.9 1.5 ‐0.3 ‐2.2 ‐2.2 ‐3.2 15.5 9.9 10.1 12.1 13.2 13.4 14.0 15.4 16.0 ‐69.8 ‐40.3 ‐8.8 1.5 9.5 7.9 13.1 0.0 9.6 9.5 9.3 8.5 8.6 7.4 8.5 6.7 ‐0.6 ‐3.0 ‐7.1 ‐7.1 ‐9.5 8.5 8.7 9.0 10.8 11.7 11.9 12.4 13.6 14.2 25.8 ‐31.0 ‐7.8 1.3 8.4 7.0 11.6 0.0 8.5 8.4 8.2 7.5 7.6 6.6 7.6 6.0 ‐0.5 ‐2.6 ‐6.3 ‐6.3 ‐8.4 7.5 ‐73.3 ‐74.8 ‐49.3 ‐37.8 ‐33.0 ‐12.9 ‐19.1 ‐15.2 ‐7.0 ‐4.8 ‐2.6 ‐2.7 ‐3.0 ‐1.2 ‐14.2 0.0 9.8 8.0 15.5 0.2 1.1 3.8 8.1 3.8 0.2 ‐0.7 ‐2.0 ‐2.0 ‐2.6 ‐54.3 58.1 59.1 ‐16.1 ‐15.2 ‐13.6 ‐17.1 ‐16.9 ‐18.3 ‐20.3 ‐19.6 ‐18.6 ‐19.4 ‐18.9 ‐22.2 ‐12.6 0.0 45.8 66.2 58.0 ‐23.5 ‐21.8 20.9 54.3 45.3 8.3 ‐2.1 ‐12.5 ‐12.6 ‐18.1 51.3 49.6 50.2 30.1 21.2 17.7 2.8 6.8 3.3 ‐3.6 ‐4.9 ‐6.1 ‐6.3 ‐5.0 ‐8.9 7.3 0.0 44.2 ‐25.2 51.8 ‐10.0 ‐7.9 11.0 33.3 20.4 4.6 0.2 ‐3.7 ‐3.8 ‐5.8 42.0 ‐1.6 ‐2.1 ‐7.1 ‐9.4 ‐10.4 ‐13.8 ‐13.3 ‐13.6 ‐15.0 ‐15.3 ‐15.3 ‐15.6 ‐15.7 ‐17.5 ‐12.8 0.0 3.6 ‐0.4 ‐0.1 ‐20.1 58.0 23.6 3.0 3.3 ‐4.4 ‐7.3 ‐12.7 ‐12.7 ‐15.7 ‐0.5 10.4 10.2 4.9 2.6 1.9 ‐2.1 ‐1.3 ‐2.7 ‐6.6 ‐8.5 ‐10.3 ‐10.0 ‐5.4 ‐9.4 0.0 0.0 11.8 14.8 11.7 62.3 26.8 14.7 12.4 10.8 ‐0.2 ‐3.5 ‐7.8 ‐7.9 ‐10.2 9.8 ‐14.8 ‐15.5 ‐23.9 ‐27.8 ‐29.1 ‐40.3 ‐34.4 ‐35.8 ‐24.3 ‐11.4 2.8 ‐5.3 ‐59.1 21.1 ‐35.4 0.0 ‐15.7 ‐10.3 ‐12.6 6.8 3.1 ‐5.8 ‐10.4 ‐7.8 ‐1.4 0.3 1.6 1.6 2.3 ‐12.3 ‐9.6 ‐11.1 ‐34.8 ‐45.6 ‐49.4 ‐69.0 ‐63.1 ‐67.1 ‐62.6 ‐35.0 ‐5.6 4.7 12.5 10.2 ‐60.4 0.0 ‐3.2 2.8 ‐4.4 9.4 8.5 3.7 ‐2.4 ‐1.3 ‐2.1 ‐2.6 ‐4.9 ‐4.9 ‐6.3 ‐7.0 ‐5.8 ‐3.5 ‐2.3 ‐2.0 ‐1.9 ‐1.4 ‐1.5 ‐1.4 ‐1.2 ‐1.0 ‐0.9 ‐1.0 ‐1.1 ‐1.1 ‐1.4 0.0 ‐1.3 ‐1.2 ‐1.1 ‐1.0 ‐0.8 ‐0.1 3.4 4.8 1.4 0.4 ‐0.4 ‐0.4 ‐0.8 73.5 4.5 2.6 1.6 1.3 1.2 0.8 0.9 0.9 0.7 0.6 0.5 0.5 0.6 0.6 0.8 0.0 0.6 0.6 0.3 0.5 0.4 ‐0.2 ‐3.9 ‐1.7 ‐0.3 0.0 0.3 0.3 0.5 15.1 2.0 1.5 1.1 1.0 0.9 0.8 0.8 0.8 0.7 0.6 0.5 0.6 0.7 0.6 0.8 0.0 0.9 0.7 0.9 0.6 0.6 0.4 ‐0.1 ‐3.7 ‐1.3 ‐0.5 0.1 0.1 0.4 4.9 ‐6.9 ‐7.3 ‐7.0 ‐6.8 ‐6.7 ‐6.5 ‐6.6 ‐6.5 ‐5.8 ‐4.9 ‐3.9 ‐5.0 ‐6.3 ‐6.1 ‐6.5 0.0 ‐7.5 ‐7.4 ‐8.1 ‐6.4 ‐6.7 ‐6.9 ‐11.7 71.5 20.9 8.6 1.2 0.9 ‐2.7 ‐4.1 ‐68.1 ‐69.1 ‐70.4 ‐71.4 ‐71.3 ‐73.2 ‐73.4 ‐73.3 ‐74.9 ‐76.5 ‐76.4 ‐75.2 ‐72.2 ‐71.8 ‐71.2 0.0 ‐69.7 ‐69.6 ‐66.9 ‐71.5 ‐71.2 ‐76.5 ‐65.2 ‐57.7 ‐35.3 ‐34.3 ‐60.3 ‐59.9 ‐77.4 ‐60.4 ‐37.2 ‐37.9 ‐39.2 ‐40.0 ‐40.1 ‐41.6 ‐41.7 ‐41.8 ‐43.7 ‐46.0 ‐47.4 ‐44.9 ‐41.2 ‐41.3 ‐40.2 0.0 ‐37.9 ‐38.3 ‐36.4 ‐40.5 ‐39.0 ‐30.7 ‐34.4 ‐29.6 ‐15.7 ‐15.1 ‐34.0 ‐33.6 ‐47.1 ‐32.8 11.9 12.2 12.9 13.2 13.3 13.9 14.0 14.1 15.2 16.4 19.3 15.2 13.8 13.8 13.4 0.0 12.3 12.5 11.6 13.5 12.9 9.9 10.3 6.5 ‐14.3 ‐24.0 ‐56.4 ‐55.5 ‐78.9 10.3 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.4 1.4 1.5 1.6 1.6 1.6 1.7 1.7 1.9 2.4 2.1 2.0 1.6 1.6 1.6 0.0 1.4 1.5 1.4 1.6 1.5 1.2 1.3 1.0 ‐0.3 ‐0.8 ‐0.8 ‐1.4 1.2 1.2 0.8 0.8 0.7 0.7 0.6 0.6 0.5 0.5 ‐3.0 ‐88.2 3.0 2.3 1.0 1.1 0.7 0.0 0.8 0.9 0.8 1.0 1.0 0.7 0.7 0.6 ‐0.3 ‐0.7 ‐0.6 ‐1.2 1.6 0.7 ‐7.0 ‐7.2 ‐7.7 ‐7.9 ‐8.0 ‐8.4 ‐8.5 ‐8.6 ‐9.6 ‐11.3 ‐12.3 ‐9.6 ‐8.3 ‐8.3 ‐8.1 0.0 ‐7.3 ‐7.4 ‐6.8 ‐8.1 ‐7.7 ‐5.8 ‐5.8 ‐2.7 16.5 25.3 ‐33.1 ‐30.2 ‐19.1 ‐6.0 ‐9.7 ‐10.0 ‐10.5 ‐10.9 ‐10.9 ‐11.5 ‐11.6 ‐11.7 ‐12.9 ‐15.0 ‐16.4 ‐12.8 ‐11.3 ‐11.3 ‐11.1 0.0 ‐10.0 ‐10.2 ‐9.5 ‐11.1 ‐10.5 ‐8.1 ‐8.3 ‐5.1 13.1 21.6 51.7 50.2 ‐25.9 ‐8.4 2.5 27.8 35.0 ‐61.4 ‐4.6 ‐4.1 38.9 ‐6.6 ‐29.1 67.4 24.2 30.9 54.1 1.2 ‐0.9 ‐0.4 0.1 0.2 1.0 ‐0.3 0.0 ‐0.1 0.3 0.2 0.4 McNary ‐ McNary 500 Allston ‐ Allston 500 Powerworld June 30, 2015 Users Group Meeting 10 Sample Output Transfer Path Impact Diagram BC‐NW 1.2 Canada Derived from 2015 HS4 WECC Base Case Note: Arrow Denotes Normal Direction of Positive Path Flow MATL Seattle ‐ N ‐0.4 Nlwy‐Bdry Monroe‐ Echo Lake Seattle ‐ S/ Olympic Pen ‐0.9 Coulee 2.5 POR (FROM Area) POD (TO Area) Transfer Amount McNary ‐ McNary 500 Allston ‐ Allston 500 100 MW W of Cascades North N of Hanford 38.9 NE Wash ‐29.1 Montana Raver ‐ Paul N of John Day (500 kV Only) 27.8 MT ‐ NW 0.1 ‐6.6 Paul Mid C/ Hanford Paul ‐ Allston 35.0 W of Cascades ‐ South 54.1 Walla Walla Allston W of McNary W of John Day S of Allston Bonneville Big Eddy/ The Dalles ‐61.4 SW Wash/ Portland/ Salem/N Coast 30.9 67.4 Slatt/ Grassland John Day McNary/ Roundup W of Slatt 24.2 Wyoming ID ‐ NW 0.2 S of Salem Central Oregon ‐4.6 Eugene/ S Coast Hemingway‐ Summer Lk 1.0 Idaho S of Eugene ‐4.1 Malin/ KFalls/Capt Jk S Ore Import 0.3 S Oregon Alturas‐Reno COI PDCI 0.0 Utah/Colo. ‐0.1 Tot‐2 Nevada 0.2 ‐0.3 Ariz/N Mex California W of Col Rvr 0.4 Powerworld June 30, 2015 Users Group Meeting 11 Line Outage Distribution Factors (LODF) LODFs are similar to PTDF linearized calculation Calculate the impact of opening (outage) or closing a branch Calculated the percent of power flow specified for a transmission line that occurs due to switching will appear on other lines Powerworld June 30, 2015 Users Group Meeting 12 LODF Diagram Powerworld June 30, 2015 Users Group Meeting 13 LODF Matrix Powerworld June 30, 2015 Users Group Meeting 14 More Information Good Tutorial available on the Powerworld website: http://www.powerworld.com Under Training & Events, Online Training, in the Topic I11: Linear Sensitivity Analysis Powerworld June 30, 2015 Users Group Meeting 15 Questions? Powerworld June 30, 2015 Users Group Meeting 16