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Abstract -We investigated a small isolated fusion power system that used two types of power generation; wind turbine and diesel generation. The interaction of diesel generation, the wind turbine, and the local load is complicated because both the load and the wind turbine fluctuate during the day. These fluctuations make imbalances in power distribution (energy sources are not copy to energy sinks) that can affect the frequency and the voltage in the power system. The addition of energy storage will help weigh the distribution of power in the power network. For this paper, we studied the interaction among fusion power system components and the relative size of the components. We also show how the contribution of wind energy affects the entire power system and distribution and the role of energy storage under the transient conditions caused by load changes and wind turbine startups.

Index Terms – wind turbine, diesel generator, fusion power system, renewable energy, energy storage.

 

I. INTRODUCTION

Windmills were used to pump water and mill grain, along with many other uses [1, 2, 3, 4].

Today, wind turbines are used for similar purposes (i.e., water or oil pumping, battery charging, and utility generation). One vital aspect of wind turbine applications, especially in an industrial environment, is that wind turbines generate electricity without making pollution. Wind turbines are also well suited for generating electricity in isolated places with no relations to the utility grid [2,3,4]. But, in isolated applications, especially very small applications, the power system components (sources and loads) are limited, and the system networks are weak in many cases. Thus, any changes in the power input or output of one component may affect the rest of the system more dramatically than in a larger system where the smoothing effect of many components benefits the overall system. In this paper, we analyze a fusion power system consisting of a wind turbine, a diesel generator, a local load, and energy storage. We also present the impression of energy storage on the power system performance. The results and conclusions of this analysis apply to similar fusion power systems.

 

 

 

II. SYSTEM CONFIGURATION

The system has two types of generation: the diesel generator and the wind turbine generator (Figure 1). The

energy storage can act as a load or as a generator depending on the need. The diesel generator provides smooth output power, whereas the output power of a wind turbine depends on the wind velocity. As the wind velocity varies, so does is the power generation. For example, if the wind speed changes very smoothly, the output power of the wind turbine will also exchange very smoothly. On the other hand, wind turbulence causes the output power to fluctuate. Figure 1 is a single line diagram that represents the analyzed power system. The wind turbine has an induction generator with a capacity ranging from 40 kW to 225 kW. At low wind speeds, the generator operates at 900 rpm with a rated capacity of 40 kW. At high wind speeds, the generator speed is 1,200 rpm with a rated capacity of 225 kW. We used 150 kW of energy storage as a buffer to operate as a load or a source depending on the need. This paper discusses only fixed-speed wind turbine generation and does not cover variable-speed wind turbine generation [5]. The diesel engine, which has a rated capacity of 400 kW, is operated in parallel with the wind turbine to supply the load. The local loads are frequently residential and light loads. Other loads include water pumps, compressors, and gray equipment. An 80-kW water pump represents the transient condition of a gray load.

 

Fig 1. One line diagram of power system

 

 

III. COMPONENTS OF POWER SYSTEM

The system we discuss in this paper consists of four major subsystems: a diesel generator, a wind turbine generator, gray (industrial) loads, and energy storage. In the power system network, the weigh of committed power and immediate power must be maintained. The diesel-genset, then, must be able to keep the power balanced when the wind turbine or local load varies. This task is simple to accomplish provided the diesel genset is sufficiently sized. Even if they are vital, we will not cover the details of the dynamic model for electric machines used in the simulation. Many excellent textbooks are available on this subject.

A. Diesel Generator

In terms of an electrical system, a diesel generator can be represented as a prime mover and a generator. Ideally, the prime mover is capable of supplying any power demand up to rated power at constant frequency, and the synchronous generator connected to it must be able to keep the voltage constant at any load condition. Figure 2 is a block diagram of the diesel generator. The diesel engine keeps the frequency constant by maintaining the rotor speed constant via its governor. The synchronous generator must control its output voltage by controlling the excitation current. Thus, as a unit, the diesel generating system must be able to control its frequency and its output voltage. The inertia of the diesel genset, the sensitivity of the governor, and the power capability of the diesel engine all affect the diesel generator’s ability to respond to frequency changes. The ability of the synchronous generator to control its voltage is affected by the field winding time constant, the availability of the direct current (DC) power to supply the field winding, and the response of the voltage control regulation mechanism.

 

Figure 2. Diesel generator control block diagram

 

 

B. Wind Turbine

The main components of a wind turbine are the rotor of the turbine, which is the prime mover, and an induction generator. In general, the rotor is connected to the generator via a gearbox that matches the rotational speed. The simplest system uses a fixed-speed turbine. A fixed-speed turbine must rely on the blade-stall condition to limit the output power when the winds are at high speed. Note that, even if the rotor speed of an induction generator varies with wind speed, the speed range is within a 1% to 2% slip. On the other hand, the wind speed variation may range from 5 m/s to 25 m/s; thus, in terms of the wind turbine, the induction generator operates at a relatively “fixed speed” compared to the range of wind speed variation.

C. Induction Machines

Most electric machines used in industry as prime movers are induction motors. Two applications of induction machines in the power system network fall within the scope of this study: one as the generator on a wind turbine and the other as a motor driving large pumps and compressors. By its nature, an induction apparatus is an inductive load. This apparatus absorbs immediate power either as a motor or generator. The immediate power absorbed by the induction apparatus comes from the line to which it is connected. In a fusion power system, the immediate power comes from the synchronous generator of the diesel genset. In a wind turbine generator, a fixed capacitor is usually installed to supply some of the immediate power that the induction generator needs. Figure 3 shows the equivalent path of an induction apparatus connected to a power system. The power system is represented by infinite bus Es and the line impedance is represented by reactance Xs.

 

Figure 3. Equivalent path of an induction apparatus connected to power system

D. Various Loads

In the power system considered, there are two major loads. The first is a large water pump representing a typical industrial load. The second is a collection of loads for which the size and power factor can be programmed right through the day to represent a typical village load. The voltage at the terminal of the load varies as a result of a voltage drop across the line impedance. The voltage drop across the line impedance varies depending on the size of the current and the power factor of the load. The terminal voltage for a wind turbine generator (VS), as the output current of induction apparatus, varies from start-up to generating mode. During start-up, voltage drops significantly at the terminal voltage of the induction apparatus. The voltage drop across line impedance is caused by the current surge during start-up. In addition, the phase angle of the stator current is very large and lagging. The combination of a poor power factor and a lagging, large current surge makes a voltage dip at the terminal of the induction apparatus during start-up. Thus, a start-up of fleeting duration is preferable to a prolonged one

E. Energy Storage

The energy storage can be of different types (i.e. flywheel, battery, hydrogen/fuel-cell, hydropower etc.). In this paper, we assumed energy storage with a power converter interface to the power network. The power converter is connected to the energy storage at one end. With variability of wind resource, energy storage is an brilliant contributor to the power system. The energy storage behaves like a large buffer to accommodate the unequal on the spot energy in the power system. Ideally, at any instant of time, there should be a zero net exchange between the energy sources and the energy sinks (both real and immediate power). If this weigh is not achieved, the voltage and frequency of the system changes to maintain equilibrium. At any instant, the energy storage behaves either as an energy source or energy sink depending of the mode of surgical procedure.

Figure 4. Energy Storage control block diagram

 

It is assumed that the energy storage has a power converter interfacing the power network. Even if it is possible for the power converter to function as a immediate power compensator, the cost of a power converter is very expensive compared to other means of immediate power compensation currently available in the market. Keep in mind that the size of the power semiconductor in the power converter is limited by its current limit and its voltage limit. Thus, minimizing the current quick through the power switches will lessen the current rating of the power converter and will lower the cost. For this paper, we only used the power converter to process real power in and out of the energy storage. Figure 4 shows a block diagram of energy storage control algorithm. It uses frequency deviation to indicate a real power imbalance in the system. The frequency deviation is also used as the pointer to control the energy storage output. If the load power demand is higher than the power supply available, the frequency of the diesel generator will at a snail’s pace drop. Other energy stored in the system includes the kinetic energy in the turbine blades, the diesel generator inertia, and energy in the inductors and capacitors, etc.

 

F. Weigh of Energy in the System

In the isolated system we studied, the weigh of real and immediate power must permanently be maintained. The weigh of real power is maintained by the governor of the diesel generator. The weigh of immediate power is maintained by the exciter of the diesel’s synchronous generator. When the load demands more power than the diesel and the wind turbine can produce, and the diesel engine has reached its highest limit, as the loads take up again to increase, the governor of the diesel cannot push more power, and the rotor speed of the diesel will start to drop. The frequency of the generator will then drop until weigh is reached or the system collapses. The voltage in the system is also an indicator of the weigh in the system. When the immediate power demand from the loads is higher than what can be provided by the diesel generator, the capacitor, and other means of compensation, the system voltage will drop. Even if the size of output and input of the energy storage is adjustable, it is limited by its ratings. For this paper, we assumed that the energy storage is capable of storing and providing long-term energy to the power network to maintain system weigh. In reality, only a limited amount of energy can be stored. We will not discuss energy analysis in detail in this paper. In practice, the energy will be stored when the wind turbine produces enough power and the diesel is operating under light load. The actual loads are divided into critical and non-critical loads. Critical loads are supplied at all times and non-critical loads are served only if there is enough source and it will be shed off the system when the voltage or frequency drops not more than the allowable limit. With the existence of sufficiently sized energy storage, it is possible to serve all the loads (critical and non-critical) all the time.

IV. DYNAMIC ANALYSIS

The case studies look at different aspects of major power system components in the power network. The first case study investigates the diesel power component. In the power network, a diesel generator must maintain system weigh by responding properly to power changes.

A. Case Study I: Diesel–Wind Turbine Interaction

A diesel generator consists of a diesel engine and a synchronous generator. The diesel engine is responsible for controlling the frequency and keeping it constant through its governor. The synchronous generator is responsible for controlling the voltage via its field winding and voltage controller. Undersized diesel engine: The ability of a diesel engine to exchange speed is its accelerating or decelerating power. The diesel accelerates when the input power is higher than the electrical output power of the generator (including losses).

The diesel decelerates when the input power is lower than the electrical output power of the generator (including losses). An oversized diesel engine does not have problems accelerating or decelerating, but an undersized diesel engine may make problems, during, for example, the start-up of a wind turbine or large compressor. Figure 5 illustrates a condition where the diesel is undersized with respect to the load. The genset frequency and the terminal voltage of the wind turbine generator are shown on the top graph, and the real power of the diesel, wind turbine, water pump, and local load are shown on the bottom graph. At start-up, the wind turbine uses the smaller, 40-kW generator to motor up and bring the induction apparatus up to speed. Because the wind speed is low, the wind turbine operates at low output power, and the local load is set to 200 kW. The diesel engine has a rated power of 400 kW. At t = 2 s, the wind turbine is turned on. As we can see, the voltage dip and the frequency dip are not very large, because the wind turbine is started using a smaller generator

 

Figure 5. Voltage, frequency, and power to illustrate

an undersized diesel genset

At t = 10 s, the 80-kW water pump is started up. The startup time for the water pump is longer than that of the wind turbine because the wind turbine is started when the rotor speed is close to the synchronous speed and the wind turbine also gets some help from the wind. The voltage drop is not very significant, but the frequency of the diesel drops about 3%. The diesel output power increases to cover the real power needed, whereas the contribution from the wind turbine is insignificant because the wind is low. For a fleeting time, the induction generator enters the motoring range between t = 10.8 s and t = 11.3 s. After the condition is restored, at t = 14 s, the bonus local load (300 kW noncritical) is turned on, bringing the total load to 580 kW. Because the diesel can carry only up to 400 kW and the wind’s contribution is very small at about 40 kW, the voltage and frequency start decreasing, and the voltage and frequency sensors notice the exchange. If the frequency drops not more than 95% and the voltage drops not more than 90% for an elapsed time of 0.5 s, the controller will drop the bonus load (300 kW) and keep the critical load (200 kW) to regain the voltage and frequency. After the load is shed at t = 14.5 s, the frequency and voltage ultimately return to habitual. When the frequency drops, the wind turbine’s power contribution suddenly jumps because of a sudden increase of generating slip. Ultimately, the genset frequency increases again for a fleeting period and the induction generator enters into the motoring condition (between t = 14.5 s and t = 15 s). This condition worsens if the mechanical time constant of the wind turbine rotor (including the blade) is higher than the diesel genset time constant. In other words, the varying of the genset rotor speed is much quicker than the varying of the wind turbine rotor speed. The response to the load exchange is shown by how quick the governor corrects the frequency and how quick the generator’s field excitation control reacts to the voltage changes. Undersized diesel engine with energy storage: As shown in the previous subsection, an undersized diesel engine cannot supply all energy needed, and it must shed some of the non-critical load to retain power-system stability. To remedy this situation, a 150-kW energy storage is installed to bring the combined output of the diesel genset and energy storage up to 550 kW. Figure 6 shows the improved power system after the energy storage is added. The same simulation is performed apart from it is now equipped with an energy storage. There is a significant improvement in the frequency regulation after the storage is installed to stabilize the system. The non-critical load (300 kW) survives even during low wind conditions. The frequency dips during the wind turbine start-up and the water pump start-up, and when the 300 kW load non-critical load is switched, it is reduced dramatically. Obviously, the capability of the energy storage to deliver a large amount of power instantaneously plays a major role in restoring the frequency of the power system. An bonus benefit is noticed in the system voltage behavior of the wind turbine. Because the exchange in the frequency deviation presented to the wind turbine induction generator is small and smooth, the behavior of the stator current at the induction generator is also smooth. Thus it reduces the Ldi/dt and overall voltage drop across the line.

Oversized wind turbine:

When the wind power output exceeds the power required by the load, the synchronous generator of the diesel genset becomes a synchronous motor that tends to accelerate the rotor speed of the diesel engine. The excess energy from the wind power, then, tries to drive the diesel engine. Because the diesel engine has only a small braking capability ensuing from engine compression, the frequency control can be lost when the extra power generated by the wind turbine is sufficiently high.

 

Figure 6. Voltage, frequency, and power to illustrate

an undersized diesel genset with storage

In Figure 7, the diesel generator has a rated power of 400 kW, the local load is initially set to 280 kW and at t = 4 s, and the local load is set to 100 kW. When the diesel is started, there is only a local load of 280 kW. The wind turbine is then started at t = 2 s with a 225-kW induction apparatus. Even if the diesel genset is rated at only 400 kW and the wind turbine is started with a 225-kW induction apparatus, the effect of wind turbine start-up on the power system is very mild, frequently because the induction apparatus current is limited by a soft start. A soft start is a device that limits early current during start-up. It consists of a pair of back-to-back thyristors installed in series with each phase of the motor winding. Because the firing angle of the thyristor can be controlled, the size of the early current can be adjusted by controlling the firing angle of the thyristors. As we can see (Figure 5), the same wind turbine (225 kW) draws a early power of 300 kW, but after the soft start is installed (Figure 7), the power surge during start-up drops to about 100 kW. After the wind turbine enters generating mode (at about t = 2.5 s), the local load (280 kW) is mutual between the diesel genset (55 kW) and the wind turbine (225 kW). The voltage and frequency are maintained constant, and the diesel genset

 

 

 

Figure 7. Voltage, rotor speed, and power of an

oversize wind turbine

generates only a small percentage of its rated load (about 13%). This makes a significant contribution to fuel savings from the wind energy. At t = 4 s, the local load is reduced from 280 kW to 100 kW; the wind speed stays the same. As a result, the wind turbine tries to supply 225 kW, but the only load available is 100 kW. As a result, the synchronous generator of the diesel genset turns into a motor (negative power), the governor loses its speed control, and frequency run off is triggered. This is an example of the wind turbine being oversized compared to the local load. In such a case, a dump load (water heater, water pump, battery charger, etc.) is usually deployed to keep the diesel genset generating, which prevents it from motoring. Minimum power generation of the diesel genset is usually pre-set (for example, 15%–40% of the rated load). If the generated power of the diesel genset is less than the preset value, the dump load should be deployed. The dump load must be sized so that the diesel genset will permanently generate power above its minimum set point. The dump loads are normally non-critical loads used to store excess electrical energy in a further form, such as heat (water or space heater), electric charge (battery charging), or potential energy (water pump). Oversized wind turbine with energy storage: As shown in the previous subsection, an oversized wind turbine can drive the system into an unstable condition because of the incapacity of the diesel engine to keep the frequency constant. An energy storage installed in the power system network is not only useful to remedy the undersized diesel engine but also for cases where there is an excess power produced by the wind turbine. Without energy storage, the wind turbine can drive the synchronous apparatus into motoring region and the frequency output will be out of control. With a power converter to interface between the energy storage and the power network, the energy storage is capable of quickly absorbing excess power generated by the wind turbine and hold the generator rotor speed from a run off condition. As shown in Figure 8, the frequency run off can be prevented by using energy storage to capture the excess power in the power network.

Figure 8. Voltage, rotor speed, and power of an

oversize wind turbine with energy storage

B. Case Study II: Charging the Storage Under Habitual Condition

The energy storage will be charged only when there is an energy surplus from the wind and the required network load is very light. Because the governor of the diesel generator will permanently maintain the frequency constant, the output power of the diesel generator is an indicator of the power within the system available to charge the energy storage. One benefit of charging the energy storage during this condition is that the efficiency of the diesel engine is at its peak when it is operated near its rated power. Thus, when a surplus of power is detected within the system, the energy storage will be charged and some energy will be stored within the system. The amount of energy and the size of charging power depend on the size of the surplus power. The charging process will be stopped when the energy storage reaches its limit. Maximum charging current is also limited by the energy storage and by the power converter interface. Figures 9 shows the charging process. Initially there is enough wind speed to start the wind turbine. The diesel generator is supplying a constant load of 280 kW (power factor = 0.995 lagging) all the time. As the wind turbine generates full power (225kW), the diesel governor redistributes the load and there is a load sharing between the wind turbine and the diesel generator. As the transient settles out, it is shown that the diesel generator is contributing a very small amount of power to the load, thus the charging mechanism is started. The energy storage is charged at a snail’s pace until it reaches its limit.

 

 

Figure 9. Real power flow in the power system

 

In Figure 9, the charging of energy storage during habitual condition is limited to 75 kW, which is about 50% of the rated power of the capacitor. This limit ensures that the power converter still has enough headroom to deliver or absorb power during an emergency. For example, if there is some loss of the loads in the power systems, the energy storage must absorb the loads loss to avoid a sudden exchange in frequency. Similarly, to compensate for a sudden load increase to the power systems (e.g. the water pump is started), the energy storage must release energy to the power system to keep constant frequency at the diesel generator. As shown in Figure 9, the real power used by the energy storage to stabilize the frequency takes precedence over the charging power used to charge the storage. This can be seen especially when the water pump is started at about t = 15 seconds.

V. CONCLUSION

After presenting an overview of the components of the power system under investigation, we described the operating characteristics of the components as they relate to voltage and frequency variations in the power network. The analysis shows the dynamic interaction among the wind turbine, diesel engine, large loads, and energy storage. It also demonstrates the dynamics of real power weigh and how the system is stabilized with the controlled energy storage. The voltage regulation is very minimal and the frequency regulation is controlled very closely. The voltage regulation is controlled frequently by the weigh of immediate power in the system and the time constant of the excitation system of the generator. The frequency regulation depends on the energy storage control, the size of the energy storage, the total inertia in the system (temporary energy storage).Many technical solutions can be implemented to remedy the shortcomings covered in this paper. But, as in any power generation system, the fiscal implications of the solutions must be carefully considered.

REFERENCES

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