How to Measure Stability in Complex Power Grids Using D-Q Impedance
A method for testing how electrical components in a power grid react to disturbances to ensure the grid remains stable and doesn't crash.
Patent Number
US 8044672
Status
Active
Filing Date
March 23, 2009
Grant Date
October 25, 2011
Expiration
March 23, 2029
Claims
16
Assignee
Individual
Inventors
Michael Lamar Williams
Citations
7 forward · 2 backward
What it covers
This patent describes a way to measure the 'D-Q impedance' of electrical components in a power grid, which helps engineers understand how those components interact with the grid's stability. It uses a generator as a probe, injecting specific 'suppressed-carrier' signals into the grid through its speed and field inputs. By measuring how the grid's voltage and current respond to these signals, the system solves a set of four simultaneous equations to calculate the D-Q impedance parameters (Zqq, Zqd, Zdq, and Zdd). These parameters allow engineers to create Nyquist diagrams, which are visual tools used to check if a power system is stable or prone to dangerous oscillations.
What it doesn't cover
- —Does not cover measuring impedance using external hardware probes or non-generator stimulus sources.
- —Does not cover standard steady-state impedance measurements that do not utilize D-Q coordinate transformations.
- —Does not cover stability analysis methods that do not rely on the specific four-equation resolution process described.
- —Does not cover grid components that cannot be stimulated via speed or field excitation inputs.
The clever bit
Instead of building a separate, expensive testing device, the method turns an existing generator into a precision instrument by using its own control inputs (speed and field) to 'ping' the grid and measure the response.
Why it matters
Modern power grids are increasingly complex due to the integration of renewable energy sources and power electronics, which can cause unpredictable interactions. This method provides a systematic way to diagnose potential instability before it leads to equipment damage or blackouts. It is particularly relevant for utility-scale grid operators who need to ensure that new hardware, like wind or solar farms, will play nicely with existing infrastructure.
Real-world examples
- 1.Utility-scale power grid stability testing
- 2.Wind farm integration analysis
- 3.Large-scale synchronous generator performance monitoring
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US 8044672 · 2026