ECE 422/522 Power System Operations & Planning/ Power Systems Analysis II 1 – General Background Spring 2014 Instructor: Kai Sun 1 Outline • Structure of a power system • US Electric Industry (utilities, deregulation, energy resources) • Overview of power system reliability and NERC guidelines • Introduction of power system stability (basic concepts, definitions and examples) • Materials – Part I (Chapters 1&2) of Kundur’s book – Glossary of Terms Used in NERC Reliability Standards, Dec 21, 2012 – IEEE/CIGRE Joint Task Force on Stability Terms and Definitions, “Definition and Classification of Power System Stability,” IEEE Transactions on Power Systems, Vol. 19, No. 2., pp. 1387 – 1401, May 2004 2 1st 100 Years of Electric Industry • 1882: Pearl Street Station, the 1st DC system by Edison, operated in NYC • 1886: Commercially practical transformer and AC distribution system developed by Stanley • 1888: Development of poly-phase AC by Tesla started AC vs. DC battle • 1889: 1st AC transmission line in the US (1-phase, 21km at 4kV in Oregon) • 1893: 1st 3-phase line (2.3kV, 12 km by SCE) in North America; AC vs. DC battle ended when AC was chosen at Niagara Falls. • 1912-1923: 1st 110kV and 220kV HVAC overhead lines • 1950s: 345kV-400kV EHV AC lines by USA, Germany and Sweden • 1954: 1st modern commercial HVDC transmission (96km submarine cable) in Sweden. • 1960s: 735-765kV EHV AC in Russia, USA and Canada • 1972: 1st thyristor based HVDC Back-To-Back system between Quebec and New Brunswick in Canada 3 Structure of an AC Power System • Generation – Low voltages <25kV due to insulation requirements • Transmission system – Backbone system interconnecting major power plants (11~35kV) and load center areas – 161kV, 230kV, 345kV, 500kV, 765kV, etc. • Sub-transmission system – Transmitting power to distribution systems – Typically, 35/69kV-138kV • Distribution system – Typically, 4kV-34.5kV 4 Bulk Power System (Bulk Electric System) • NERC definition – The bulk electric system is a term commonly applied to the portion of an electric utility system that integrates “the electrical generation resources, transmission lines, interconnections with neighboring systems, and associated equipment, generally operated at voltages of 100 kV or higher.” – Radial transmission facilities serving only load with one transmission source are generally not included in this definition • For short, a bulk electric system is the part of the transmission/subtransmission system connecting – power plants, – major substations, and – HV transmission lines • Most of power system reliability concerns are about bulk electric systems 5 US Bulk Power Systems 6 Energy Resources for US Electricity Generation From “Electricity sector of the United States” at Wikipedia.org 7 US Electric Industry Structure • 3,195 utilities in the US in 1996. Categories Examples Investor-owned utilities 240+, 66.1% of electricity AEP, American Transmission Co., ConEd, Dominion Power, Duke Energy, Entergy, Exelon, First Energy, HECO, MidAmerican, National Grid, Northeast Utilities, Oklahoma Gas & Electric, Oncor, Pacific Gas & Electric, SCE, Tampa Electric Co., We Energies, Xcel, Publicly owned utilities 2000+, 10.7% Nonprofit state and local government agencies, including Municipals, Public Power Districts, and Irrigation Districts, e.g. NYPA, LIPA, Federally owned utilities ~10, 8.2% Tennessee Valley Authority (TVA), Bonneville Power Administration (BPA), Western Area Power Administration (WAPA), etc. Cooperatively owned utilities ~1000, 3.1% Owned by rural farmers and communities Non-utilities, 11.9% Generating power for own use and/or for sale in wholesale power markets, e.g. Independent Power Providers (IPPs) • Fewer than 1000 are engaged in power generation 8 Deregulation: Competitive US Power Market Structure • The government sets down rules and laws for market participants to comply with • On electricity prices – Typically, determined by bidbased, security-constrained, economic dispatch – In a day-ahead market, the price is determined by matching offers from generators to bids from consumers at each node to develop a supply-demand equilibrium price, usually on an hourly interval. – The price is calculated separately for sub-regions in which the system operator's power-flow model indicates that constraints will bind transmission imports. Generation Owner Generation Owner … Generation Owner Transmission TransmissionOwner Owner Transmission Owner Distribution Owner Distribution Owner Service Provider Service Provider 9 … Distribution Owner Service Provider • Compared to traditional economic dispatch, where the actual fuel cost function Ci is known by the dispatcher. dC3 = 5.8 + 0.018 P3 = λ dP3 dC2 = 5.5 + 0.012 P2 = λ dP2 dC1 = 5.3 + 0.008 P1 = λ dP1 Equal incremental cost 10 California was the 1st state to implement full deregulation 11 Reliability Concerns with Deregulation “California Electricity Crisis” • Before passage of the deregulation law, there was only one Stage-3 rolling blackout (intentional load shedding by utilities) declared. • After passage, California had 38 Stage-3 rolling blackouts, mainly as a result of a poorly designed market system that was manipulated by traders and marketers. • In order to sell electricity at a higher price, some trader intentionally encouraged suppliers to shut down plants (removing power from the market) for unnecessary maintenance. Supply Demand (Source: Wikipedia.org and paper “Gaming and Price Spikes in Electrical Power Market,” by X. Guan, et al, on IEEE Trans. Power Systems, Vol. 16, No. 3, Aug 2001.) 12 Power Blackouts in North America Date Area Impacts Nov 9, 1965 North America (NE) 20,000+MW, 30M people 13 hrs Jul 13, 1977 North America (NY) 6,000MW, 26 hrs Dec 22, 1982 North America (W) 12, 350 MW, 5M people Jul 2-3, 1996 North America (W) 11,850 MW, 2M people 13 hrs Aug 10, 1996 North America (W) 28,000+MW, 7.5M people 9 hrs Jun 25, 1998 North America (N-C) 950 MW, 0.15MK people 19 hrs Aug 14, 2003 North America (N-E) 61,800MW, 50M people Sep 8, 2011 US & Mexico (S-W) 4,300MW, 5M people 9M people 13 Duration 2+ days 12hrs NERC (North American Electric Reliability Corporation) • As a non-government organization, formed by the electric utility industry in 1968 to promote the reliability of bulk power systems in North America. • Initially membership was voluntary and member systems followed the reliability criteria for planning and operating bulk power systems to prevent major system disturbances following severe contingencies • As of June 2007, FERC (U.S. Federal Energy Regulatory Commission) granted NERC the legal authority to enforce reliability criteria with all users, owners, and operators of the bulk power systems in the U.S. • NERC Membership is now mandatory. Member systems comply with NERC’s Reliability Standards (approved by FERC) to promote reliable operations and to avoid costly monetary penalties if caught noncompliant. Every system operator should read, understand and follow NERC’s Reliability Standards. (Visit http://www.nerc.com for more information on NERC.) 14 NERC Functional Model Diagram 15 Interconnections in North America • Eight Regional Reliability Entities (RREs) assisting NERC – FRCC (Florida Reliability Coordinating Council) – MRO (Midwest Reliability Organization) – NPCC (Northeast Power Coordinating Council) – RFC (Reliability First Corporation) – SERC (Southeastern Electric Reliability Council) – SPP (Southwest Power Pool) – WECC (Western Electricity Coordinating Council) – TRE (Texas Reliability Entity) 35GW 180GW 650GW 70GW From EPRI tutorial (Peak loads are based on data in 2009) 16 NERC Reliability Coordinators Code Name ERCOT ERCOT ISO FRCC Florida Power & Light TE Hydro Quebec, TransEnergie ISNE ISO New England Inc. MISO Midwest ISO NBSO New Brunswick System Operator NYIS New York Independent System Operator ONT Ontario - Independent Electricity System Operator PJM PJM Interconnection SPC SaskPower SOCO Southern Company Services, Inc. SPP Southwest Power Pool TVA Tennessee Valley Authority VACS VACAR-South WECC WECC Reliability Coordinator 17 18 NERC Balancing Authority • A Balancing Authority (BA) is a part of an interconnected power system that is responsible for meeting its own load. • Each BA operates an Automatic Generation Control (AGC) system to balance its generation resources to load requirements. – Generation resources: internal or purchased from other BAs and transferred over tie-lines between BAs. – Load requirements: internal customer load, losses, or scheduled sales to other BAs. 19 NERC Balancing Authorities • EI has about 90 BAs, which range in load size up to 130GW peaks • WI (WECC) has about 30 BAs. • ERCOT and Hydro Quebec are each operated as single BAs. 20 System Control Centers Duke Energy Control Center (source: Patrick Schneider Photo.Com) TVA Control Center (Source: bayjournal.com) (source: TVA.com 21 Reliable Electric Power Supply • Requirements under both normal and emergency conditions – Voltage and frequency around normal values within close tolerances – Generators running synchronously with adequate capacity to meet the load demand – The “integrity” of the bulk power network 22 Reliability of Bulk Power Systems • From both Planning and Operations perspectives: – Power systems should be built and operated to achieve a reliable electric power supply at the most economical cost • Reliability is defined using two terms: – Adequacy (planning): The ability of the electric systems to supply the aggregate electrical demand and energy requirements of their customers at all times, taking into account scheduled and reasonably expected unscheduled outages of system elements. – Security (operation): The ability of the electric systems to withstand sudden disturbances, i.e. contingencies, such as electric short circuits or unanticipated loss of system elements 23 Example of NERC’s Reliability Standards: Performance under Normal and Emergency Conditions 24 Summary of NERC Contingencies Category Description Stability Loss of load A No contingencies Yes No B N-1 (loss of 1 element) Yes No C Loss of ≥2 elements (local events) Yes Planned or controlled D Extreme events (loss of a transmission path, substation, power plant or major load, cascading outages, etc.) 25 Selecting contingencies for evaluation Contingencies to be studied • Normal Design Contingencies (Categories A, B and C) – Have a significant probability of occurrence – Following any of these contingencies, the system is secure (stability is maintained, and voltages and line and equipment loadings are within applicable limits. ) • All facilities are in service, or • A critical generator, transmission circuit, or transformer is out of service, assuming that the area generation and power flows are adjusted between outages by use of a reserve. • Extreme Contingencies (Category D) – After the analysis and assessment of selected extreme contingencies, measures are developed to reduce the frequency of occurrence of such contingencies or to mitigate the consequences that are indicated by the simulations of such contingencies 26 NECR Contingencies Unlikely but with Extreme Impacts Not Existing in Welldesigned Systems • Most utilities manually select NERC Category D contingencies to simulate: Consequences o Loss of a key substation o Loss of tie lines o Outages close to a generation/load pocket D C Generator Outage B Needless to study A Credible and Acceptable N-1 Line Outage N-2 Line Outage Frequency of Occurrence Frequency may increase when system is stressed (e.g. Storm Approaching) 27 Extreme Events How are reliability standards used? • In Planning: –Reliability standards should never be violated in designing the system. • In Operations: –Reliability standards should never be intentionally violated –Sometimes, violations occur due to misoperations or delayed awareness of the realtime situation 28 Related Terms • Operating quantities: Physical quantities (measured or calculated) that can be used to describe the operating conditions of a power system, e.g. real, reactive and apparent powers, RMS values/phasors of alternating voltages and currents. • Steady-state operating condition of a power system: An operating condition of a power system in which all the operating quantities that characterize it can be considered to be constant for the purpose of analysis. 29 • In designing and operating an interconnected power system, its dynamic performance subjected to changes (i.e. contingencies, small or large) is considered • It is important that when the changes are completed, the system settles to new operating conditions without violation of constraints. • In other words, not only should the new operating conditions be acceptable (as revealed by steady-state analysis) but also the system must survive the transition to those new conditions. This requires dynamic analysis. 30 Related Terms (cont’d) • Disturbance: a sudden change or a sequence of changes in one or more parameters or operating quantities of the power system. P(δ) • Small and large disturbances – a small disturbance if the equations describing the dynamics of the system may be linearized for the purpose of accurate analysis, e.g. a load change P – a large disturbance if the equations that describe the dynamics of the system cannot be linearized for the purpose of accurate analysis, e.g. a short circuit and loss of a generator or load. δ 31 Related Terms (cont’d) • Synchronous operation: – A machine is in synchronous operation with another machine or a network to which it is connected if its average electrical speed (=ωr⋅P/2) is equal to the electric speed of the other machine or the angular frequency of the ac network. – A power system is in synchronous operation if all its connected synchronous machines are in synchronous operation with the ac network and with each other. • Asynchronous operation: loss of synchronism or out of step 32 Stability of a Dynamical System Consider a nonlinear dynamical system Assume origin x=0 is an equilibrium, i.e. The equilibrium point x=0 is stable in the sense of Lyapunov such that In other words, the system variable will stay in any given small region (ε) around the equilibrium point once becoming close enough (δ) to that point. x δ 33 ε Power System Stability • Power system stability is the ability of a power system, for a given initial operating condition, to regain an acceptable state of operating equilibrium (i.e. the new condition) after being subjected to a disturbance • Considering an interconnected power system as a whole – The stability problem with a multi-machine power system is mainly to maintain synchronous operation of the machines (generators or motors) • Considering parts of the system – A particular generator or group of generators may lose stability (synchronism) without cascading instability of the main system. – Motors in particular loads may lose stability (run down and stall) without cascading instability of the main system. 34 Some Terms Related to System Dynamic Performance Secure (vs. Insecure) Not violating given security criteria Stable (vs. Unstable) A system is able to regain an equilibrium following a disturbance. (A stable power system may not be secure if the equilibrium or the transition to the equilibrium violates security criteria) Oscillatory An operating quantity repetitively changes at some frequency around a central value (equilibrium). (When oscillation becomes uncontrollable to damage generators and other equipment, the system will become insecure and even unstable) 35 Example: FIDVR (Fault-Induced Delayed Voltage Recovery) NERC/WECC Planning standards require that following a Category B contingency, • voltage dip should not exceed 25% at load buses or 30% at non-load buses, and should not exceed 20% for more than 20 cycles at load buses • the post-transient voltage deviation not exceed 5% at any bus 36 Stability Classification • Power system stability is essentially a single problem; however, the various forms of instabilities that a power system may undergo cannot be properly understood and effectively dealt with by treating it as such. • Because of high dimensionality and complexity of stability problems, it helps to make simplifying assumptions to analyze specific types of problems using an appropriate degree of detail of system representation and appropriate analytical techniques. • Analysis of stability, including identifying key factors that contribute to instability and devising methods of improving stable operation, is greatly facilitated by classification of stability into appropriate categories 37 Stability Classification • IEEE/CIGRE Joint Task Force on Stability Terms and Definitions, “Definition and Classification of Power System Stability,” IEEE Trans. on Power Systems, Vol.19, No.2., pp. 1387-1401, May 2004. • The classification of power system stability considers: – The physical nature of the resulting mode of instability as indicated by the main system variable (angle, frequency or voltage) in which instability can be observed. – The size of the disturbance (small or large disturbance) considered, which influences the method of calculation and prediction of stability. – The devices, processes and time span that must be taken into consideration in order to assess stability. Typical ranges of time periods • Transient or short-term: 0-10s • Mid-term: 10s to several minutes • Long-term: several to tens of minutes 38 Stability Classification Physical nature Disturbance size Time span 39 Homework #1 • Learn the IEEE paper “Definition and Classification of Power System Stability” • Select 1 journal/conference paper published by IEEE since 2010 that introduces or addresses some stability problems on bulk power systems – Source: http://ieeexplore.ieee.org or http://scholar.google.com – Keywords: e.g. “power system” + “stability” • Write a 1-2 pages essay (not Q&A’s): – Title, authors, source of the paper – Background: • What stability problem is concerned? (Which IEEE categories?) • Why is the problem significant? (Any real-world stories?) • In which aspect(s) was the problem not addressed well in earlier literature? – Approach • What new approach is proposed? (Outline of the procedure or steps) • Any key techniques are applied by the approach? • How does the new approach perform? – Remark • Any conclusions from the work, or any room for further work • Give a 3-5 minutes talk on your chosen paper and hand in your essay in the class of Jan 23 (Thursday). Please email me the paper title by Jan 22 (Wed.) 5pm 40 Rotor Angle Stability • Rotor Angle Stability refers to the ability of synchronous machines of an interconnected power system to remain in synchronism after being subjected to a disturbance. • Phenomenon: increasing angular swings of some generators leading to their loss of synchronism with others. 41 Rotor Angle Stability (cont’d) • Rotor angle stability depends on the ability to maintain/restore equilibrium between electromagnetic torque (TE) and mechanical torque (TM) of each synchronous machine in the system. • A fundamental factor in this problem is the manner in which the power outputs of synchronous machines vary as their rotor angles change (Power vs. Rotor angle) 42 Rotor Angle Stability (cont’d) V∠0 E∠δ E V P3φ = 3 sin δ Xs P3φ E V sin δ Te = 3 = ω ωXs Te (P3φ) Ta=Tm-Te<0 (decelerates) Steady-state limit: Unstable Tm Pmax(3φ ) E V =3 Xs Te,max E V =3 ωXs Small disturbance δ0 43 Ta=Tm-Te>0 (accelerates) Large disturbance Rotor Angle Stability (cont’d) For a simple power system consisting of a generator tied to a load bus, only when both sides have rotating mass, rotor angle stability can be a concern 44 Rotor Angle Stability (cont’d) • Interconnected power system with multiple generators 45 Small signal stability • Small-disturbance angle stability or small signal stability is the ability of a power system to maintain synchronism under small disturbances. – The disturbances are considered to be sufficiently small that linearization of system equations is permissible for purposes of analysis – Small signal stability depends on the initial operating state of the system (eigenvalues of the linearized system at the state). – In today’s power systems, the small-signal stability problem is usually associated with insufficient damping of oscillations 46 Small signal stability (cont’d) • Small signal stability problems may be either local or global in nature. – Local plant mode oscillations (at 0.7~2.0Hz): oscillations of a small part of the power system (typically, a single power plant) against the rest of the system – Inter-area mode oscillations (at 0.1~0.7Hz): oscillations of a group of generators against the rest of the system • The time frame of interest is 10 to 20 seconds following a disturbance. However, oscillations may last several minutes 47 • 1.2 Hz local plant mode oscillations lasting 4 minutes Small-signal unstable Source: slides of Gary Kobet (TVA) 48 Transient Stability • Large-disturbance angle stability or transient stability is concerned with the ability of the power system to maintain synchronism when subjected to a severe disturbance, e.g. a short circuit on a transmission line. – The resulting system response involves large excursions of generator rotor angles and is influenced by the nonlinear power-angle relationship. – Transient stability depends on both the initial operating state of the system and the severity of the disturbance. 49 Transient Stability (cont’d) • Transient instability is usually in the form of aperiodic angular separation, which is often referred to as first swing instability. • However, in large power systems, transient instability may occur after multiple swings as a result of, e.g., superposition of multiple oscillation modes. • The time frame of interest in transient stability studies is usually 3 to 5 seconds following the disturbance. It may extend to 10-20 seconds (to observe a number of swings) for very large systems with dominant inter-area oscillations. 50 “Dynamic Stability” • The term “dynamic stability” also appears in the literature as a class of rotor angle stability. – In the North American literature, it has been used mostly to denote small signal stability. – In the European literature, it has been used to denote transient stability. • Both CIGRE and IEEE have recommended that it not be used. 51 Voltage Stability • Voltage stability refers to the ability of a power system to maintain steady voltages at all buses in the system after being subjected to a disturbance from a given initial operating condition. – It depends on the ability to maintain/restore equilibrium between load demand and supply – In order words, it depends on the ability to maintain bus voltages so that when the system nominal load at a bus is increased, the real power transferred to that load will increase. 52 Voltage Stability (cont’d) • The term voltage collapse is also often used. It is the process by which the sequence of events accompanying voltage instability leads to a blackout or abnormally low voltages in a significant part of the power system. 53 Voltage Stability (cont’d) • Small-disturbance voltage stability – ability to maintain steady voltages when subjected to small perturbations such as incremental changes in system load. – studies using linearized models for sensitivity analysis • Large-disturbance voltage stability – ability to maintain steady voltages following large disturbances such as system faults, loss of generation, or circuit contingencies. – studied using nonlinear models on involved devices, e.g. motors, transformer tap changers, generator field-current limiters, etc. 54 Voltage Stability (cont’d) • Short-term voltage stability – involves dynamics of fast acting load components, e.g. induction motors, electronically controlled loads and HVDC convertors. – The study period of interest is in the order of several seconds – requires solution of appropriate system differential equations • Long-term voltage stability – involves slower acting equipment, e.g. tap-changing transformers, thermostatically controlled loads, and generator current limiters. – the study period of interest may extend to several or many minutes – requires long-term simulations 55 B. Gao, et al, “Towards the development of a systematic approach for voltage stability assessment of large-scale power systems, IEEE Trans. Power Systems, Vol. 11 No. 3 Aug. 1996 56 Relationship between rotor angle instability and voltage instability • Typical systems vulnerable to two stability problems – Rotor angle stability – Voltage stability • However, two problems often occur together – For example, as rotor angles between two groups of generators approach 180o, the loss of synchronism causes rapid drop in voltages at intermediate points in the network. – Loss of synchronism of some generators may result from the outages caused by voltage collapse or from operating conditions that violate generator field current limits 57 System Operation • Establish most economical operating conditions under “normal” circumstances • Operate the system such that if an unscheduled event occurs, it does not result in uncontrolled (or cascading) outages • Establish “Safe Operating Limits” for all situations • Meet reliability criteria – Voltage limits – Line and component loading limits (thermal limits) – Stability – Dynamic performance 58 Transition due to disturbance Transition due to control action Normal Secure with sufficient margin; able to withstand a contingency Preventive control Alert Secure with insufficient margin; Contingency may cause overloading Corrective control Restorative Emergency control Emergency Insecure; system is still intact Restorative control Extreme Power outages; system separates 59 Cascading events Design and Operating Criteria for Stability Design and operating criteria play an essential role in preventing major system disturbances following severe contingencies. • The use of criteria ensures that, for all frequently occurring contingencies (i.e. credible contingencies, e.g. Categories B and C), the system will, at worst, transit from the normal state to the alert state, rather than to a more severe state such as the emergency state or the extreme state. • When the system enters the alert state following a contingency, operators can take actions to return the system to the normal state. 60 System Stability Studies Types Approach Purposes Small signal stability • Using linear system analysis tools to study the modal system response to a small disturbance. • Obtain safe operating limits and guidelines • Identify poorly damped modes of oscillation • Details on the disturbance may not be important • Setting of controls (e.g., exciters, power system stabilizers) • New generation studies (to meet reliability criteria at the least cost) • Transmission planning studies (to analyze plans for future transmission expansion, and to meet reliability criteria) Transient • Using nonlinear system analysis stability tools to study the system response to a large disturbance. • Traditionally using time-domain simulation to “track” the evolution of system states and parameters • during the transient period. • Every study is for a completely specified disturbance scenario including the pre-disturbance system condition and disturbance sequence (any change requires a new study) Operations planning studies (to check if a given system configuration or operations schedule meets reliability criteria) • Special control to maintain stability (e.g., generation tripping, load shedding, etc.) • Severe disturbance (extreme contingency) studies • Special purpose studies (e.g., system blackstart or restoration plan, etc.) 61 Trends in North American Interconnections • Fewer HV transmission lines built due to cost and environmental concerns • Heavier use of some power plants away from load centers due to conservation of oil and natural gas • Heavier loading of HV transmission due to growing electricity markets under the “open transmission access” environment • Generation trends have become more stability-conscious – – – – – Lower inertia Higher short circuit ratio More dependence on controls (e.g. excitation control) Large concentration of generation More power electronics based resources, e.g. renewables (intermittent) may alter the basic inertial response • Effects of HVDC systems and solid state electronic devices (e.g. flexible ac transmission systems, or FACTS) 62 Structure of a Power System and Associated Controls 63