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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.

Granted 2011ActiveExpires 2029Owned by IndividualInvented by Michael Lamar Williams

Original patent title: “Method for measuring D-Q impedance of polyphase power grid components

Plain-English explanation by SahiLast reviewed · June 13, 2026

A method for testing how electrical components in a power grid react to disturbances to ensure the grid remains stable and doesn't crash. Granted to Individual in 2011 with 16 claims and 7 forward citations, and it is expected to expire in 2029.

Coverage

What does this patent actually cover?

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.

The gap

What does this patent NOT 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.

These exclusions are unique to PatentBrief — derived from the actual claim language, not patent-office boilerplate.

Key facts

Patent numberUS 8044672
StatusActive
FieldEnergy & Clean Tech
AssigneeIndividual
InventorMichael Lamar Williams
Filed2009
Granted2011
Expires2029
Claims16
Times cited7
LitigationNone on record
Value · $31K$100KMinimal

What made this novel

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.

The Patent Drawing

Representative patent drawing for Method for measuring D-Q impedance of polyphase power grid components (US 8044672)
Representative figure · US 8044672All figures on Google Patents →
Method for measuring D-Q imped…(Primary claim)energymechanicaltelecommunications

Schematic visualization of the patent's claim structure. Hand-drawn diagrams in progress for each landmark patent.

Where you've seen this

Real-world examples

01

Utility-scale power grid stability testing

02

Wind farm integration analysis

03

Large-scale synchronous generator performance monitoring

Why it matters

The bigger picture

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.

Filed

March 23, 2009

Granted

October 25, 2011

Market context

Who's building on this

Companies in this space

Large power equipment manufacturers like Siemens, GE Vernova, and ABB utilize similar concepts of small-signal stability analysis and impedance-based modeling to certify grid-connected hardware. These companies rely on these mathematical frameworks to ensure that power converters do not cause sub-synchronous oscillations in the grid.

Market impact

This patent formalizes a diagnostic approach that has become increasingly critical as grids move away from purely passive, rotating-mass-based systems toward active, inverter-dominated systems. It provides a standardized framework for stability verification, which is now a common requirement in grid interconnection studies for new power plants.

Claim 1 — Plain English

What this patent 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.

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.

What it does not 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.

Patent timeline

Filing

Application submitted to the patent office

Publication

Application published, typically 18 months after filing

Grant

Patent officially issued

Expiration

Patent enters public domain

PatentBrief Score

Impact Score

Early stage

Citation count

18/40

Early citations

Claim breadth

11/20

Broad claimsclaimsThe numbered statements at the end of a patent that legally define what the inventor owns.Read more →

Recency

5/20

Granted 10–20 years ago

Assignee scale

0/20

Independent or smaller assigneeassigneeThe entity that owns the patent — usually the inventor's employer or a company.Read more →

PatentBrief Impact Score — based on citation count, claim breadth, recency, and assignee scale. Not a legal assessment.

Heuristic Value Estimate

What this patent might be worth

Minimal

$31K$100K

Midpoint $62K · 2.7 yr remaining · industry ×1.5

Adjust inputs →

Heuristic only — blends forward/backward citation counts, claim scope, time remaining, litigation history, and CPC-derived industry baseline. Real valuations need a professional appraisal.

Patent Claims

0 independent claims · 1 dependent

Claims are the legal boundaries of the patent. An independent claim stands alone. A dependent claim adds limitations to its parent, narrowing — but not broadening — the scope.

The original legal language

Original claims

16 claims as filed with the patent office.

Concepts involved

ClaimPrior artNon-obviousnessNoveltySpecificationAssigneePatent term

Citations

Patent lineage

Cites earlier patents

2

earlier patents this invention cites as foundations

View prior art →

Cited by later patents

7

later patents that build on this invention

View patents →

Cite this patent

Williams, M. L. (2011). How to Measure Stability in Complex Power Grids Using D-Q Impedance (U.S. Patent No. 8,044,672). U.S. Patent and Trademark Office. https://patentbrief.org/patent/us/8044672/method-for-measuring-d-q-impedance-of-polyphase-power-grid-components

Auto-generated from the patent record. Double-check author order and the issue date against the official USPTO document before submitting.

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Common Questions

Frequently Asked Questions

What does How to Measure Stability in Complex Power Grids Using D-Q Impedance cover?

A method for testing how electrical components in a power grid react to disturbances to ensure the grid remains stable and doesn't crash.

Who owns patent US 8044672?

Individual owns this patent, granted in 2011.

When does this patent expire?

This patent is expected to expire on March 23, 2029, when the invention enters the public domain.

What is patent US 8044672 cited by?

This patent has been cited by 7 later patents that build on its ideas.

What problem does this patent solve?

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.

What does this patent NOT cover?

Does not cover measuring impedance using external hardware probes or non-generator stimulus sources.

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Last reviewed: June 13, 2026 · PatentBrief is not a law firm and this is not legal advice.