The Slope of a Horizontal Line is Zero

In The Slope of a Line, you learned that the slope, or m, of a line describes how rapidly or slowly change is occurring. Linear Functions have 4 types of slopes: positive, negative slope, zero slope, and undefined slope. Real World Example of Negative Slope Refer to the graph, Horizontal Line, m 0.   The x-axis represents time, in hours, and the y-axis represents distance, in miles, from Downtown Houston, Texas. Hurricane Prince, a Category 5 storm, threatens to flood (among other things) the Bayou City in 24 hours. You have the bright idea—along with 2 million other Houstonians—to leave Houston now. You’re on Interstate 45 North, the road that snakes northward to flee anything blowing in from the Gulf of Mexico. Notice how time is moving. One hour passes, two hours pass, but you’re still one mile away from downtown. Remember, slope is a rate of change. For every two hours that pass, you move zero miles. Because of this, your slope is 0. Calculating Zero Slope Refer to the PDF, Calculate_Zero_Slope to learn how to  use a graph and  the slope formula to  calculate a zero slope.  To download free software to view the PDF, visit https://get.adobe.com/reader/.

Key Components Of School Strategy - 1031 Words

Key components of school strategy are â€Å"based on behavioral theory and knowledge of risk and protective factors, developmentally appropriate information about alcohol and other drugs, development of personal, social, and resistance skills, emphasis on normative education†¦Ã¢â‚¬ ¦, and culture sensitivity. (â€Å"School Strategies†)† Schools play an important role in the prevention of drinking because this is where peer pressure and trying to fit in really comes in to play. Along with school strategy there is also extracurricular activities strategy. Involvement in extracurricular activities have been shown to â€Å"better development of life skills, greater communication skills, fewer psychosocial problems, decreased involvement in risky behaviors, decreased juvenile delinquency and violence, decrease risk of dropping out of school, increased academic achievement, and increased safety. (â€Å"Extracurricular Strategies†)† Students that keep busy d oing extracurricular activities spend more time thinking about activities and less time on trying to fit in. College is a new experience for many students and they are trying to fit in. As college students try to fit drinking becomes a temptation because it is considered the social norm. When students are involved in extracurricular activities it makes them more responsible and more active members in their community and/or school. Along with school strategy and extracurricular activities strategy there is family strategy. 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The Electrical Market Generation Engineering Essay Free Essays

string(191) " congestion despatch is created which relates the rate of pool buying cost and the curtailment rate of contracts to the precedence of different trades in the intercrossed electricity market\." In a deregulated electricity market, the coevals, transmittal and distribution sectors are operated by different companies. This may give rise to congestion in transmittal lines due to miss of co ordination between different sectors. It may besides happen in a vertically incorporate market but it can easy be taken attention of since all the three sectors are controlled by one entity. We will write a custom essay sample on The Electrical Market Generation Engineering Essay or any similar topic only for you Order Now Congestion can interrupt the demand and supply market. It can straight impact the net incomes of the market participants. Without congestion market monetary value will be unvarying but with congestion the monetary values in some countries will increase and in other countries will diminish. Congestion changes the pre despatch program of bring forthing units in order to run into the energy demands with cheaper bring forthing units cut downing their end product whereas expensive units increasing their end products in the engorged countries. This makes the energy market less efficient. By congestion we mean that the transmittal web is unable to incorporate all of the coveted minutess due to misdemeanor of the system bounds. These could be thermic, electromotive force, little signal stableness bounds etc. These bounds are violated due to the breaks in power flow in transmittal lines. Therefore it becomes imperative to take steps that would forestall or acquire rid of congestion in transmittal lines. Let ‘s hold a expression at a congestion illustration. Suppose that there is a part where the electricity supply becomes really inexpensive. This would ensue in an increasing demand as more and more people would desire to travel for that electricity seting a immense sum of burden on the system. In order to run into the increasing demand, there would be heavy flow of power over the transmittal lines. This would incur losingss every bit good as the stableness bounds would be threatened ensuing in congestion. There are two ways to cut down congestion. One is the proficient manner, by utilizing the FACTS devices and the transformer pat accommodations whereas the other one is related to the market e.g auctioning, re-dispatching etc. 1.2 Aims The aims of this thesis undertaking are as follows: To Analyze the FACTS devices To Identify the different jobs due to congestion To show the usage of FACTS devices in pull offing congestion in pool market To smoothen the Locational Marginal Prices ( LMP ) and maximise the societal public assistance Economic consideration in arrangement of FACTS 1.3 Scope of Thesis The thesis will get down with the literature reappraisal on optimum power flow, Power flow restraints, FACTS devices, power flow control, how FACTS are used to increase the transmittal capacity in order to cover with the congestion direction in transmittal systems. Electricity market theoretical account will be generated and by utilizing the FACTS devices the LMP will be smoothened and the societal public assistance will be maximized.. In the terminal based on the consequences, recommendations and decisions would be given consequently. Literature Review 2.1 Optimum Power Flow In 1960 some extensions were made in the conventional economic burden despatch job called optimum power flow ( OPF ) . OPF simulation is used to happen the optimum solution to a job. A system can be modeled by an nonsubjective map. This nonsubjective map could be minimising the production cost, minimising the transmittal losingss etc. It depends on what type of market the nonsubjective map represents. The OPF is used to command different variables in such a manner that the nonsubjective map can be minimized ensuing in the addition in overall efficiency of the system. 2.2 Power System Constraints With the growing of electric public-service corporations all over the universe, the transmittal systems are being pushed closer to their stableness bounds whilst more and more quality of power is being demanded. The transmittal of power over an country or a part may be limited due to certain power restraints such as: Steady province power transportation bound Voltage stableness bound Dynamic stableness bound Transeunt stableness bound Oscillations muffling bound Thermal bound These are called the constrictions as they limit the sum of power fluxing through transmittal lines. 2.3 Congestion Management Congestion direction is a major job faced by the independent system operators ( ISO ) in the deregulated electricity environment as it has a immense negative impact on market monetary values and the market trade ensuing in breaks and pecuniary punishments under some status. FACT devices like TCSC, TCPAR ( more on this in the following chapter ) can assist to cut down congestion, smoothen locational fringy monetary value and maximise the societal public assistance. [ 1 ] The distinguishable congestion direction systems widely being employed are Nodal pricing method Zonal pricing method These are the congestion direction theoretical accounts that are based on optimum power flow algorithm [ 2 ] . In [ 3 ] , two attacks covering with the direction costs are studied. The first attack is the nodal pricing which forms the model for the pool theoretical account. The 2nd attack is based on cost allotment processs proposed for the bilateral theoretical account. Pool and the bilateral theoretical account are compared. The bilateral theoretical account would easy hold been the obvious pick for clients if it had n’t been for the particular features of electricity. These features produce two jobs. The first job relates to the presence of transmittal restraints whereas the 2nd one relates to transmittal losingss. The pool adjusts these particular features of electricity in trading procedure. The locational facets of pool theoretical account are based on theory of nodal topographic point pricing. In [ 4 ] , zonary congestion direction has been presented. Importance of existent and reactive power despatchs in relieving the congestion direction has been highlighted. Congestion direction in pool theoretical account is formulated as a Non Linear Programming ( NLP ) and it is solved by utilizing the fittingness distance ratio atom drove intelligence. In [ 5 ] , coordination between the pool and the bilateral trading in congestion despatch in intercrossed market theoretical account is investigated. A mathematical theoretical account of co-ordinated congestion despatch is created which relates the rate of pool buying cost and the curtailment rate of contracts to the precedence of different trades in the intercrossed electricity market. You read "The Electrical Market Generation Engineering Essay" in category "Essay examples" 2.4 FACTS The conventional ways of heightening power system control were to utilize Series capacitance to command the electric resistance, switched shunt capacitance and reactor to command the electromotive force, stage switching transformer to command the angle etc. Now in the modern universe FACTS accountants are being used. The construct of FACTS was foremost introduced in 1990. FACTS stand for Flexible AC Transmission Systems. FACTS is defined by the IEEE as â€Å" a power electronic based system and other inactive equipment that provide control of one or more AC transmittal system parametric quantities to heighten controllability and increase power transportation capableness [ 2 ] . The FACTS devices late became popular due to their efficient power controllability in power transmittal lines. There are a figure of FACT devices that are presently being used each holding their pros and cons. The power is generated and distributed to the consumers over transmittal webs. The power flow is related to the electric resistance of these transmittal lines. Greater the electric resistance lesser will be the power flow. When there is a rush in demand, the power lines with low electric resistance will acquire overloaded before the high electric resistance 1s restricting the power that can be transmitted through the high electric resistance lines. There are two ways through which the lifting demand can be met. They are: – Build more transmittal lines in order to increase the transmittal capacity Use the FACTS devices in the bing transmittal web in order to increase their transmittal capacity by commanding the power flow. The former one is non executable since it requires a immense investing and has some environmental concerns associated with it. The latter 1 is what we would be looking at. The basic applications of FACT devices are: They increase the bing transmittal line power capableness Control the power flow Decrease in reactive power profiting bring forthing companies because lesser the reactive power more will be the existent power. The clients are charged for the existent power they consume. To increase the stableness Voltage control Increase the security of the system. In [ 6 ] , congestion direction methods are considered. The first is the re despatch of the coevals agenda formed by the market. Congestion direction cost is evaluated utilizing the coevals agenda. The installing and the operation of flexible jumping current transmittal systems ( FACTS ) devices in the transmittal lines for the intent of countering congestion is besides considered. A cost benefit analysis is proposed which justifies the economic feasibleness of FACTS devices. After transporting out trials on IEEE 14 coach system, this paper concludes that when FACTS devices are employed in transmittal lines at optimum places they were able to cut down the sum of power to be re dispatched every bit good as the cost of congestion. In [ 7 ] , congestion caused by the increasing figure of bilateral contracts is alleviated by utilizing two methods. Cost free and non cost free agencies. The former trades with the stage shifters, FACTS devices. The system with and without FACTS devices is compared. The optimum power flow ( OPF ) consequence shows that the single power minutess suffer less curtailment with FACTS. The usage of FACTS device called thyristor controlled series compensator ( TCSC ) is discussed. The execution of FACTS devices in bilateral despatch model to keep system stableness and security is proposed. The development of simple and efficient theoretical accounts for optimum location of FACTS devices to undertake congestion direction by the optimum control of their parametric quantities is proposed in [ 8 ] . In a engorged environment, the sensitiveness factors can efficaciously be used to find the optimum location of FACTS devices, TCSC and TCPAR. However this paper does non cover with the optimum location of other FACTS devices such as SVC, STATCOM. In [ 9 ] , steady province theoretical accounts of FACTS devices are formulated based on PIM and incorporated into optimum power flow ( OPF ) . By making this, FACTS tend to acquire flexible due to greater grade of freedom for the OPF solution infinite. The job is solved utilizing consecutive quadratic scheduling ( SQP ) in MatLab. The consequences clearly show that the FACTS devices greatly enhance the electromotive force stableness every bit good as the power transportation capableness. 2.5 Controllability of Power Flow This subdivision will cast visible radiation on the parametric quantities that affect the power flow in transmittal lines. This is indispensable in understanding the working of FACTS for congestion direction. To maintain things simple consider a two coach system in figure 2.1 Figure 2.1 Two Bus System The transportation of power between the two points is given by ( 2-1 ) Where is is Power received is Voltage sent is electromotive force received is characteristic electric resistance of the line eristic electric resistance of the line system in figure 2.1 power flow in transmittal lines. This is indispensable in understand is transmittal angle We have assumed that all the line losingss are neglected. For a short line this equation can be simplified to ( 2-2 ) Since Equation 2-2 merely states that the power fluxing through a transmittal line depends on three things, electromotive force, angle and electric resistance. The most of import decision that can be drawn from this equation is that higher the electric resistance of a power line lesser will be the power flow through it. Power flow is ever through those lines that have got low electric resistance. Chapter 4 Electricity Market This chapter negotiations about the deregulated electricity market. How this market construction came into being, what advantages and disadvantages does this current construction has is discussed in the deregulated electricity market subdivision. It so sheds visible radiation on the different market theoretical accounts that are adopted by assorted states. The three market theoretical accounts that exist and discussed in this chapter are Pool theoretical account, Bilateral Model and Hybrid Model. An nonsubjective map for the pool market is formulated. Here the aim is the societal public assistance maximization. Methodology The first measure is to reexamine the different sorts of FACT devices. Get familiar with their operation. The following measure involves the use of these FACT devices to relieve congestion in power lines. After that a market theoretical account would be generated that would assist us to analyze the effects of FACTS devices on the market parametric quantities such as LMP, societal public assistance etc. A package will be used to transport out this undertaking. The consequences would be shown with the aid of graphs Classs of FACTS Devices FACTS devices can be classified into the undermentioned classs. Series Compensation In series compensation, the FACTS devices are connected in series in transmittal lines to shoot electromotive force. It works as a governable electromotive force beginning. These series FACTS devices can be a variable electric resistance e.g a capacitance. Series induction occurs over long transmittal lines doing a electromotive force bead. To counterbalance that electromotive force bead, the series capacitances are coupled. Shunt Compensation In shunt compensation, FACTS devices are connected in analogue to the transmittal lines. These devices inject current at the point of connexion in the transmittal lines. They act as a governable current beginning. Shunt compensation if of two types: – Shunt capacitive compensation This method is implemented when there is a demand to better the power factor. Whenever there is an inductive burden connected to the power system, it ‘s traveling to ensue in a lagging current doing the power factor to dawdle. This is non desirable since the low power factor relates to high sum of current drawn by the burden ensuing in immense energy losingss. A shunt capacitance is connected that draws current taking the electromotive force beginning which helps better the power factor. Shunt inductive compensation This method is used when there is a really low burden connected at the having terminal. This causes a really low current to flux through the transmittal lines. Shunt electrical capacity in the transmittal line causes voltage elaboration. This phenomenon is known as Ferranti consequence. The electromotive force at the having terminal becomes greater than the electromotive force at the directing terminal. To counterbalance, shunt inductances are connected across the transmittal lines. Combined Series-Series Compensation Two FACTS devices are connected individually in series in a multi line transmittal system. Each of the devices provides independent series reactive compensation for each of the lines. Combined Series-Shunt Compensation In this constellation, a combination of a series and shunt FACTS devices are used. The shunt device injects current into the system whereas the series device injects electromotive force. In order words this sort of constellation allows to hold an independent control over existent and existent and reactive power fluxing through the transmittal lines. Examples of Series Compensation Inactive Synchronous Series Compensator ( SSSC ) Thyristor Controlled Series Capacitor ( TCSC ) Thyristor Controlled Series Reactor ( TCSR ) Thyristor Switched Series Capacitor ( TSSC ) Thyristor Switched Series Reactor ( TSSR ) Examples of Shunt Compensation Inactive Synchronous Compensator ( STATCOM ) Inactive Var Compensator ( SVC ) Example of Combined Series-Series Compensation Interline Power Flow Controller ( IPFC ) Example of Combined Series-Shunt Compensation Unified Power Flow Controller ( UPFC ) Unified Power flow accountant ( UPFC ) is the most powerful FACTS accountant yet. It has the ability to command both the reactive and active power flow in transmittal lines whereas the other FACTS accountants named above could either command existent or active power flow. It is capable of commanding all the parametric quantities such as electromotive force, electric resistance and angle that are responsible for the power flow. The most widely used FACTS devices are the 1s that involve the thyristor engineering. We will analyze merely two FACTS devices in item since those are the 1s that will be implemented for congestion direction. Those two FACTS devices are: – Inactive Synchronous Compensator ( STATCOM ) Inactive Synchronous Series Compensator ( SSSC ) Inactive Synchronous Compensator ( STATCOM ) The inactive synchronal compensator ( STATCOM ) was antecedently known as inactive synchronal capacitor ( STATCON ) . It is based on a solid province synchronal electromotive force beginning that is merely like an ideal synchronal machine without a revolving mass. These devices generate a set of sinusoidal electromotive forces at cardinal frequences with quickly governable amplitude and stage angles. Fig 4.1 shows the generalised construction of a electromotive force beginning convertor. The input of a STATCOM is a DC electromotive force which it converts into an AC end product electromotive force at a cardinal frequence in order to counterbalance for the reactive and active power needed by the system. Qref and Pref are the mention signals that control the amplitude of the end product electromotive force V and the stage angle I? , severally. Fig 4.1 Generalized synchronal electromotive force beginning So by altering the Qref, in other words by changing the electromotive force the reactive power exchange between the inverter and the AC system can be controlled. If the amplitude of the end product electromotive force is greater than that of the AC system electromotive force, the inverter produces reactive power for the AC system. If the amplitude of the end product electromotive force is varied such that it becomes less than the AC system electromotive force, the inverter absorbs the reactive power and if both the AC system electromotive force and the end product electromotive force is the same, there is no reactive power exchange. By changing stage angles between the inverter end product and AC system electromotive forces, the existent power exchange between the inverter and the AC system can be controlled. If the inverter end product electromotive force leads the AC system electromotive force, existent power is supplied to the AC system by the inverter. If the inverter end product electromotive force lags the AC system electromotive force, the existent power is absorbed from the AC system by the inverter. Figure 4.2 shows the basic construction of STATCOM and it ‘s V-I features are shown in Figure 4.3. By detecting figure 3.3 it ‘s clear that the accountant can supply both reactive and inductive compensation and is able to command the end product current between the specified maximal capacitive and inductive scope independent of the AC system electromotive force. It can supply full capacitive end product current at any practical electromotive force. It ‘s more effectual than SVC in supplying transmittal electromotive force support every bit good as bettering the stableness of the system since SVC can provide thinning end product current with diminishing system electromotive force as judged by the designed maximal tantamount capacitive entree. The comparing of STATCOM with SVC can expected to give a 50 per centum decrease in the physical size of the installing. Another advantage of STATCOM over SVC is that it is able to back up higher tonss than the SVC can for the comparable MVAr evaluation. The STATCOM may hold an increased transient evaluation in both the inductive and capacitive operating parts, which can further heighten its dynamic public presentation. The conventional SVC were equipped with transeunt volt-ampere soaking up capableness merely. There was no manner that they could transiently increase the var coevals since the maximal capacitive current it can pull is austerely determined by the value of its maximal electrical capacity and the magnitude of the system electromotive force. The transient evaluation of the STATCOM relies on the features of the power semiconducting materials used and the maximal junction temperature at which each of these devices can be operated. Furthermore, STATCOM does non significantly change the bing system electric resistance, which is another advantage over the inactive volt-ampere compensators ( SVCs ) . To cut the treatment short, STATCOM has better features over SVC ; the maximal reactive power end product will non be affected by the electromotive force magnitude. Therefore, it exhibits changeless current features when the electromotive force falls below the bound. The steady province power exchange between the accountant and the AC system is largely reactive, as active power is merely consumed to provide for the internal losingss. Fig 4.2 Basic construction of STATCOM Figure 4.3 V-I features STATCOM can be controlled in two ways. Phase control In this technique the stage displacement I? is varied in order to command the STATCOM ‘s end product electromotive force magnitude. Pulse Width Modulation ( PWM ) This technique allows the independent control of the magnitude of the end product electromotive force every bit good as the stage displacement that represents angle of the end product electromotive force. The control of DC electromotive force is separate from that of AC end product electromotive force. Synchronous Series Compensator ( SSSC ) A synchronal electromotive force beginning that has a DC to AC inverter with gate turn off thyristor can be used for series compensation of transmittal lines. SSSC is reasonably similar to STATCOM as it involves DC capacitance fed electromotive force beginning input which generates a three stage electromotive force at cardinal frequence. This in bend is injected into the transmittal line with the aid of a transformer connected in series with the system.. What SSSC does is that it straight controls the current and indirectly controls the power flow by commanding the reactive power exchange between the SSSC and the AC system. It has got an advantage over another FACTS accountant called TCSC, which is that SSSC does n’t endure from the resonance job that can be encountered in TCSC since it does non impact the electric resistance of the transmittal lines that much. Fig 4.4 Basic construction of SSSC Figure 4.4 shows the basic construction of SSSC. It shows a electromotive force beginning that produces an appropriate at the cardinal AC system frequence in series with the line to call off the electromotive force bead, Vc to some extent. The end product of synchronal electromotive force beginning is locked with the dawdling relationship to the current and it is so injected in series with the transmittal line. If injected electromotive force magnitude peers that of the line current, a series compensation tantamount to that provided by a series capacitance at cardinal frequence is acquired. Mathematically it can be represented as where Vc is the counterbalancing electromotive force phasor Iac represents the line phasor Ten is line impedence K is called grade of series compensation The chief thing is to command the rms magnitude Iac of the AC current and the rms magnitude Vc of the accountant ‘s AC electromotive force phasor in other words to command the reactive power injected or absorbed by the accountant. Assuming the reactance of matching transportation is negligible, the AC end product electromotive force can be straight controlled through the inverter electromotive force Vinv which can be controlled by bear downing or dispatching the capacitance. In steady province if the accountant is presenting reactive power, the stage displacement I? of the inverter electromotive force with regard to the AC current is -90 grades. On the other manus if the accountant is absorbing reactive power so the stage displacement of the inverter electromotive force with regard to the AC current becomes 90 grades. Hence we can alter the DC electromotive force Vdc and the corresponding inverter end product electromotive force Vin merely by changing the stage displacement par ametric quantity that would bear down or dispatch the capacitance. Fig 4.5 Operation of SSSC Figure shows the operation of SSSC. By presuming that the injected electromotive force in series with the line can be achieved if the DC energy storage has infinite capacity, the electromotive force stage angle can be chosen individually of the line current over 360 grades with the magnitude that is between 0 and Vc soap. This means that the synchronal electromotive force beginning must be able to bring forth and absorb both the existent and reactive power. The accountant is responsible for the production of the reactive power whereas the existent power comes from the DC energy storage device. This storage device besides generates a small active power that is merely plenty to get the better of the accountant losingss. A Time Frame Week Aims 1 2 3 4 5 6 7 8 9 10 11 12 13 A A A A A A A A A A A A A A Undertaking proposal A A A A A A A A A A A A A FACTS execution A A A A A A A A A A A A A Market theoretical account Simulation A A A A A A A A A A A A A FACTS in market theoretical account A A A A A A A A A A A A A Consequences A A A A A A A A A A A A A Analysis A A A A A A A A A A A A A Decision A A A A A A A A A A A A A Recommendations A A A A A A A A A A A A A How to cite The Electrical Market Generation Engineering Essay, Essay examples

Obesity and Calories free essay sample

But you also know that most diets and quick weight-loss plans have about as much substance as a politician’s campaign pledges. You’re better off finding several simple things you can do on a daily basis — along with following the cardinal rules of eating more vegetables and less fat and getting more physical activity. Together, they should send the scale numbers in the right direction: down. 1. Once a week, indulge in a high-calorie-tasting, but low-calorie, treat. This should help keep you from feeling deprived and binging on higher-calorie foods. For instance: †¢ Lobster. Just 83 calories in 3 ounces. †¢ Shrimp. Just 60 calories in 12 large. †¢ Smoked salmon. Just 66 calories in two ounces. Sprinkle with capers for an even more elegant treat. †¢ Whipped cream. Just 8 calories in one tablespoon. Drop a dollop over a bowl of fresh fruit for dessert. 2. Treat high-calorie foods as jewels in the crown. Make a spoonful of ice cream the jewel and a bowl of fruit the crown. We will write a custom essay sample on Obesity and Calories or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page Cut down on the chips by pairing each bite with lots of chunky, filling fresh salsa, suggests Jeff Novick, director of nutrition at the Pritikin Longevity Center Spa in Florida. Balance a little cheese with a lot of salad. 3. After breakfast, make water your primary drink. At breakfast, go ahead and drink orange juice. But throughout the rest of the day, focus on water instead of juice or soda. The average American consumes an extra 245 calories a day from soft drinks. That’s nearly 90,000 calories a year — or 25 pounds! And research shows that despite the calories, sugary drinks don’t trigger a sense of fullness the way that food does. . Carry a palm-size notebook everywhere you go for one week. Write down every single morsel that enters your lips — even water. Studies have found that people who maintain food diaries wind up eating about 15 percent less food than those who don’t. Plus: 8 Kitchen Cabinet Makeovers for Weight Loss 5. Buy a pedometer , clip it to your belt, and aim for an extra 1,000 steps a day. On average, sedentary people take only 2,000 to 3,000 steps a day. Adding 2,000 steps will help you maintain your current weight and stop gaining weight; adding more than that will help you lose weight. 6. Add 10 percent to the amount of daily calories you think you’re eating, then adjust your eating habits accordingly. If you think you’re consuming 1,700 calories a day and don’t understand why you’re not losing weight, add another 170 calories to your guesstimate. Chances are, the new number is more accurate. 7. Eat five or six small meals or snacks a day instead of three large meals. A 1999 South African study found that when men ate parts of their morning meal at intervals over five hours, they consumed almost 30 percent fewer calories at lunch than when they ate a single breakfast. Other studies show that even if you eat the same number of calories distributed this way, your body releases less insulin, which keeps blood sugar steady and helps control hunger. 8. Walk for 45 minutes a day. The reason we’re suggesting 45 minutes instead of the typical 30 is that a Duke University study found that while 30 minutes of daily walking is enough to prevent weight gain in most relatively sedentary people, exercise beyond 30 minutes results in weight and fat loss. Burning an additional 300 calories a day with three miles of brisk walking (45 minutes should do it) could help you lose 30 pounds in a year without even changing how much you’re eating. 9. Find an online weight-loss buddy. A University of Vermont study found that online weight-loss buddies help you keep the weight off. The researchers followed volunteers for 18 months. Those assigned to an Internet-based weight maintenance program sustained their weight loss better than those who met face-to-face in a support group. Plus: 15 Foods You Should Never Buy Again 0. Bring the color blue into your life more often. There’s a good reason you won’t see many fast-food restaurants decorated in blue: Believe it or not, the color blue functions as an appetite suppressant. So serve up dinner on blue plates, dress in blue while you eat, and cover your table with a blue tablecloth. Conversely, avoid red, yellow, and orange in your dining areas. Studies find they encourage eating . 11. Clean your closet of the â€Å"fat† clothes. Once you’ve reached your target weight, throw out or give away every piece of clothing that doesn’t fit. The idea of having to buy a whole new wardrobe if you gain the weight back will serve as a strong incentive to maintain your new figure. 12. Downsize your dinner plates. Studies find that the less food put in front of you, the less food you’ll eat. Conversely, the more food in front of you, the more you’ll eat — regardless of how hungry you are. So instead of using regular dinner plates that range these days from 10-14 inches (making them look forlornly empty if they’re not heaped with food), serve your main course on salad plates (about 7-9 inches wide).