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@@ -76,8 +76,8 @@ Slides below need update!
     - Ch 3 Transformer models: <a target = "_blank" download href='../assets/keynotes/Low-Ch3-Transformers-202109.key'><b>Keynote</b></a>  <a target = "_blank" href='../assets/book/PSA-pre202410/Low-Ch3-Transformers-202307.pdf'><b>PDF</b></a>  (last update: July 5, 2023)
     - Ch 4 Bus injection models: <a target = "_blank" download href='../assets/book/slides-202410/Low-PSAslides-Ch4-BIM-v20241213.key'><b>Keynote</b></a>  <a target = "_blank" href='../assets/book/slides-202410/Low-PSAslides-Ch4-BIM-v20241213.pdf'><b>PDF</b></a> (last update: Dec 13, 2024)
     - Ch 5 Branch flow models: radial networks: <a target = "_blank" download href='../assets/book/slides-202410/Low-PSAslides-Ch5-BFM-v20241213.key'><b>Keynote</b></a>  <a target = "_blank" href='../assets/book/slides-202410/Low-PSAslides-Ch5-BFM-v20241213.pdf'><b>PDF</b></a> (last update: Dec 13, 2024)
-  - Ch 6 System operation: power balance: <a target = "_blank" download href='../assets/keynotes/Low-Ch11-PSOperation-202109.key'><b>Keynote</b></a>  <a target = "_blank" href='../assets/book/PSA-pre202410/Low-Ch11-PSOperation-202212.pdf'><b>PDF</b></a> 
-  - Ch 7 System operation: estimation and control: <a target = "_blank" download href='../assets/book/slides-202410/Low-PSAslides-Ch6-apps-v20241213.key'><b>Keynote</b></a>  <a target = "_blank" href='../assets/book/slides-202410/Low-PSAslides-Ch6-apps-v20241213.pdf'><b>PDF</b></a> (last update: Dec 13, 2024)
+  - Ch 6 System operation: power balance: <a target = "_blank" download href='../assets/keynotes/Low-Ch6-opPowerBalance-v20250415.key'><b>Keynote</b></a>  <a target = "_blank" href='../assets/book/PSA-pre202410/Low-Ch6-opPowerBlanace-v20250415.pdf'><b>PDF</b></a> (last update: April 15, 2025)
+  - Ch 7 System operation: estimation and control: <a target = "_blank" download href='../assets/book/slides-202410/Low-PSAslides-Ch6-apps-v20241213.key'><b>Keynote</b></a>  <a target = "_blank" href='../assets/book/slides-202410/Low-PSAslides-Ch7-opE.pdf'><b>PDF</b></a> (last update: Dec 13, 2024)
 
 - Part II: Power flow optimization
     - Ch 8 Smooth convex optimization: <a target = "_blank" download href='../assets/book/slides-202410/'><b> </b></a>  <a target = "_blank" href='../assets/book/slides-202410/'><b> </b></a>