Systems and methods for swing angle estimation in an electrical power system
US-2015051852-A1 · Feb 19, 2015 · US
US10024920B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-10024920-B2 |
| Application number | US-201313968684-A |
| Country | US |
| Kind code | B2 |
| Filing date | Aug 16, 2013 |
| Priority date | Aug 16, 2013 |
| Publication date | Jul 17, 2018 |
| Grant date | Jul 17, 2018 |
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In accordance with one embodiment, a method for detection of power swing for at least a first range of swing angles between an internal voltage (ES) of a source-end generator and an internal voltage (ER) of a receiving-end generator is provided. The method includes obtaining a voltage magnitude (VS) of the source-end generator, and a current magnitude (IS) of the source-end generator. The method further includes estimating a total reactance (X) between the source-end generator and the receiving-end generator, and estimating a first swing angle (θ) between the ES and the ER as a function of the obtained VS, the obtained IS and the estimated X. The method further includes detecting a power swing condition based on the estimated θ.
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What is claimed is: 1. A method, comprising: for at least a first range of swing angles between an internal voltage (E S ) of a source-end generator and an internal voltage (E R ) of a receiving-end generator: (i) obtaining a voltage magnitude (V S ) of the source-end generator in a voltage determination (VD) module of a power swing detection device; (ii) obtaining a current magnitude (I S ) of the source-end generator in a current determination (CD) module of the power swing detection device; (iii) estimating a total reactance (X) between the source-end generator and the receiving-end generator based on current and power values or based on system topology and line parameters in a reactance estimation (RE) module of the power swing detection device; (iv) estimating a first swing angle (θ) between the E S and the E R as a function of the obtained V S , the obtained I S and the estimated X in a swing angle estimation (SAE) module coupled to the VD module, the CD module and the RE module of the power swing detection device; (v) detecting a power swing condition when a function of the estimated θ exceeds a threshold value in a detection module coupled to the SAE module of the power swing detection device; (vi) comparing the obtained I S with a current threshold value (I min ) in a comparison module coupled to the CD module and the SAE module of the power swing detection device; (vii) executing steps (iv) and (v), when the obtained I S is greater than or equal to the I min ; and (viii) tripping a circuit breaker to isolate the source-end generator when the power swing condition is detected in the detection module; wherein for at least a second range of swing angles between the E S and the E R when the obtained I S is less than the I min ; determining a real power value (P) based on the obtained V S and the obtained I S in a real power determination (real PD) module of the power swing detection device; determining a maximum magnitude of power (P max ) transmitted from the source-end generator to the receiving-end generator in a maximum power determination (MPD) module coupled to the comparison module of the power swing detection device; estimating a second swing angle (θ 1 ) between the E S and the E R as a function of the determined P and the determined P max in the SAE module; and detecting the power swing condition based on the estimated θ 1 in the detection module. 2. The method of claim 1 , wherein the step (iii) comprises estimating the X as a function of a maximum magnitude of current (I max ) determined during the power swing condition and maximum magnitude of power (P max ) determined during the power swing condition. 3. The method of claim 1 , further comprising obtaining a load angle (α) between the V S and the I S . 4. The method of claim 3 , wherein the step (iv) comprises estimating the θ as a function of the obtained α. 5. The method of claim 1 , further comprising: determining a real power value (P) based on the obtained V S and the obtained I S ; determining a reactive power value (Q) based on the obtained I S and the estimated X; and estimating a rate of change of swing angle ({dot over (θ)}) as a function of the determined P and the determined Q. 6. The method of claim 5 , wherein the step (v) comprises detecting the power swing condition based on the estimated {dot over (θ)}. 7. A power swing detection device, comprising: for at least a first range of swing angles between an internal voltage (E S ) of a source-end generator and an internal voltage (E R ) of a receiving-end generator: a voltage determination module configured to obtain a voltage magnitude (V S ) of the source-end generator; a current determination module configured to obtain a current magnitude (I S ) of the source-end generator; a reactance estimation module configured to estimate a total reactance (X) between the source-end generator and the receiving-end generator based on current and power values or based on system topology and line parameters; a swing angle estimation module configured to estimate a first swing angle (θ) between the E S and the E R as a function of the obtained V S , the obtained I S and the estimated X; a detection module configured to detect a power swing condition when a function of the estimated θ exceeds a threshold value; and a comparison module configured to compare the obtained I S with a current threshold value (I min ), wherein the comparison module is configured to send a deactivation signal to the swing angle estimation and detection modules for deactivation thereof when the obtained I S is less than the I min , wherein the detection module trips a circuit breaker and isolates the source-end generator when the power swing condition is detected. 8. The power swing detection device of claim 7 , wherein the reactance estimation module is configured to estimate the X as a function of a maximum magnitude of current (I max ) determined during the power swing condition and a maximum magnitude of real power (P max ) determined during the power swing condition. 9. The power swing detection device of claim 7 , further comprising a load angle determination module configured to obtain a load angle (α) between the V S and the I S . 10. The power swing detection device of claim 9 , wherein the swing angle estimation module is configured to estimate the θ as a function of the obtained α. 11. The power swing detection device of claim 7 , further comprising: a real power determination module configured to determine a real power value (P) based on the obtained V S and the obtained I S ; and a reactive power determination module configured to determine a reactive power value (Q) based on the obtained I S and the estimated X, wherein the swing angle estimation module is configured to estimate a rate of change of swing angle ({dot over (θ)}) as a function of the determined P and the determined Q. 12. The power swing detection device of claim 11 , wherein the detection module is configured to detect the power swing condition based on the estimated {dot over (θ)}. 13. The power swing detection device of claim 7 , wherein for at least a second range of swing angles between the E S and the E R when the obtained I S is less than the I min , further comprises: a real power determination module configured to determine a real power value (P) based on the obtained V S and the obtained I S ; and a maximum power determination module configured to determine a maximum magnitude of power (P max ) transmitted from the source-end generator to the receiving-end generator, wherein: the swing angle estimation module is configured to estimate a second swing angle (θ 1 ) between the E S and the E R as a function of the determined P and the determined P max , and the detection module is configured to detect the power swing condition based on the estimated θ 1 . 14. An electrical power system, comprising: a receiving-end generator; a source-end generator configured to be electrically coupled to the receiving-end generator; and a power swing detection device, comprising: for at least a first range of swing angles between an internal voltage (E S ) of the source-end generator and an internal voltage (E R ) of the receiving-end generator: a voltage determination module configured to obtain a voltage magnitude (V S ) of the source-end generator; a current determination module configured to obtain a current magnitude (I S ) of the source-end generator; a reactance estimation module configured to estimate a total reactance (X) between the source-end generator and the receiving-end generator b
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